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Automating the practice of science: Opportunities, challenges, and implications
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2025
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Sebastian Musslick
Laura Bartlett
Suyog Chandramouli
Marina Dubova
Fernand Gobet
Thomas L. Griffiths
Jessica Hullman
Ross D. King
J. Nathan Kutz
Christopher G. Lucas
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Data-driven methods to discover stable linear models of the helicity
injectors on HIT-SIU
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2025
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Zachary L. Daniel
Alan A. Kaptanoglu
Christopher J. Hansen
Kyle Morgan
Steven L. Brunton
J. Nathan Kutz
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Data-Driven Discovery of a New Ginzburg-Landau Reduced-Order Model for
Vortex Shedding
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2024
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J. J. Williams
Zachary G. Nicolaou
J. Nathan Kutz
Steven L. Brunton
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Reservoir computing for system identification and predictive control
with limited data
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2024
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J. WILLIAMS
J. Nathan Kutz
Krithika Manohar
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PDF
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Towards a Reliable Offline Personal AI Assistant for Long Duration
Spaceflight
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2024
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Oliver Bensch
Leonie Bensch
Tommy Nilsson
Florian Saling
Wafa M. Sadri
Carsten Hartmann
Tobias Hecking
J. Nathan Kutz
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PDF
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AI Assistants for Spaceflight Procedures: Combining Generative
Pre-Trained Transformer and Retrieval-Augmented Generation on Knowledge
Graphs With Augmented Reality Cues
|
2024
|
Oliver Bensch
Leonie Bensch
Tommy Nilsson
Florian Saling
Bernd Bewer
Sophie Jentzsch
Tobias Hecking
J. Nathan Kutz
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PDF
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Robust State Estimation from Partial Out-Core Measurements with Shallow
Recurrent Decoder for Nuclear Reactors
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2024
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Stefano Riva
Carolina Introini
Antonio Cammi
J. Nathan Kutz
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Sensing with shallow recurrent decoder networks
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2024
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Jan P. Williams
Olivia Zahn
J. Nathan Kutz
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PDF
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Automating the Practice of Science -- Opportunities, Challenges, and
Implications
|
2024
|
Sebastian Musslick
Laura Bartlett
Suyog Chandramouli
Marina Dubova
Fernand Gobet
Thomas L. Griffiths
Jessica Hullman
Ross D. King
J. Nathan Kutz
Christopher G. Lucas
|
+
PDF
Chat
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Machine Learning in Viscoelastic Fluids via Energy-Based Kernel Embedding
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2024
|
Samuel E. Otto
Cassio M. Oishi
Fabio Amaral
Steven L. Brunton
J. Nathan Kutz
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PDF
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Long Sequence Decoder Network for Mobile Sensing
|
2024
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Jiazhong Mei
J. Nathan Kutz
|
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PDF
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Mobile Sensor Path Planning for Kalman Filter Spatiotemporal Estimation
|
2024
|
Jiazhong Mei
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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VENI, VINDy, VICI: a variational reduced-order modeling framework with
uncertainty quantification
|
2024
|
Paolo Conti
Jonas Kneifl
Andrea Manzoni
Attilio Frangi
Jörg Fehr
Steven L. Brunton
J. Nathan Kutz
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PDF
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Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics
|
2024
|
J. Nathan Kutz
Maryam Reza
Farbod Faraji
Aaron Knoll
|
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PDF
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Machine Learning in Viscoelastic Fluids via Energy-Based Kernel
Embedding
|
2024
|
Samuel E. Otto
Cassio M. Oishi
Fabio Amaral
Steven L. Brunton
J. Nathan Kutz
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PDF
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SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning
|
2024
|
Nicholas Zolman
Urban Fasel
J. Nathan Kutz
Steven L. Brunton
|
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Data-driven local operator finding for reduced-order modelling of plasma
systems: II. Application to parametric dynamics
|
2024
|
Farbod Faraji
Maryam Reza
Aaron Knoll
J. Nathan Kutz
|
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Data-driven local operator finding for reduced-order modelling of plasma
systems: I. Concept and verifications
|
2024
|
Farbod Faraji
Maryam Reza
Aaron Knoll
J. Nathan Kutz
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PDF
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Statistical Mechanics of Dynamical System Identification
|
2024
|
Andrei A. Klishin
Joseph Bakarji
J. Nathan Kutz
Krithika Manohar
|
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PDF
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PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator
|
2024
|
Shaowu Pan
Eurika Kaiser
Brian M. de Silva
J. Nathan Kutz
Steven L. Brunton
|
+
PDF
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Multi-Hierarchical Surrogate Learning for Structural Dynamics of
Automotive Crashworthiness Using Graph Convolutional Neural Networks
|
2024
|
Jonas Kneifl
Jörg Fehr
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects
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2024
|
Megan R. Ebers
Katherine M. Steele
J. Nathan Kutz
|
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PDF
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Ensemble Principal Component Analysis
|
2024
|
Olga Dorabiala
Aleksandr Y. Aravkin
J. Nathan Kutz
|
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PDF
Chat
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Machine Learning in Viscoelastic Fluids Via Energy-Based Kernel Embedding
|
2024
|
Samuel E. Otto
Cassio M. Oishi
Fabio Amaral
Steven L. Brunton
J. Nathan Kutz
|
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Leveraging arbitrary mobile sensor trajectories with shallow recurrent decoder networks for full-state reconstruction
|
2024
|
Megan R. Ebers
Jan P. Williams
Katherine M. Steele
J. Nathan Kutz
|
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PDF
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Data-driven discovery and extrapolation of parameterized pattern-forming dynamics
|
2023
|
Zachary G. Nicolaou
Guanyu Huo
Y. M. Chen
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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Pilot-wave dynamics: Using dynamic mode decomposition to characterize bifurcations, routes to chaos, and emergent statistics
|
2023
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J. Nathan Kutz
André Nachbin
Peter J. Baddoo
John W. M. Bush
|
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PDF
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Deep Probabilistic Koopman: Long-term time-series forecasting under periodic uncertainties
|
2023
|
Alex Mallen
Henning Lange
J. Nathan Kutz
|
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PDF
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Discovering governing equations from partial measurements with deep delay autoencoders
|
2023
|
Joseph Bakarji
Kathleen M. Champion
J. Nathan Kutz
Steven L. Brunton
|
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PDF
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|
Transitions between peace and systemic war as bifurcations in a signed network dynamical system
|
2023
|
Megan Morrison
J. Nathan Kutz
Michael Gabbay
|
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PDF
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Walking Droplets as a Damped-Driven System
|
2023
|
Aminur Rahman
J. Nathan Kutz
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PDF
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Deep Learning Based Object Tracking in Walking Droplet and Granular Intruder Experiments
|
2023
|
Erdi Kara
George Zhang
J. T. Williams
Gonzalo Ferrandez-Quinto
Leviticus J. Rhoden
Maximilian Kim
J. Nathan Kutz
Amin Rahman
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Machine learning for parameter estimation
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2023
|
J. Nathan Kutz
|
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PDF
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Saddle transport and chaos in the double pendulum
|
2023
|
Kadierdan Kaheman
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
|
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Data-driven discovery and extrapolation of parameterized pattern-forming dynamics
|
2023
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Zachary G. Nicolaou
Guanyu Huo
Y. M. Chen
Steven L. Brunton
J. Nathan Kutz
|
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Model Order Reduction and Applications
|
2023
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Michael Hinze
J. Nathan Kutz
Olga Mula
Karsten Urban
|
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PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator
|
2023
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Shaowu Pan
Eurika Kaiser
Brian M. de Silva
J. Nathan Kutz
Steven L. Brunton
|
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Data-Induced Interactions of Sparse Sensors
|
2023
|
Andrei A. Klishin
J. Nathan Kutz
Krithika Manohar
|
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Nonlinear parametric models of viscoelastic fluid flows
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2023
|
Cassio M. Oishi
Alan A. Kaptanoglu
J. Nathan Kutz
Steven L. Brunton
|
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Dynamic Mode Decomposition for data-driven analysis and reduced-order modelling of ExB plasmas: II. dynamics forecasting
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2023
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Farbod Faraji
Maryam Reza
Aaron Knoll
J. Nathan Kutz
|
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Multi-fidelity reduced-order surrogate modeling
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2023
|
Paolo Conti
Mengwu Guo
Andrea Manzoni
Attilio Frangi
Steven L. Brunton
J. Nathan Kutz
|
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HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations
|
2023
|
Mozes Jacobs
Bingni W. Brunton
Steven L. Brunton
J. Nathan Kutz
Ryan V. Raut
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+
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Ensemble Principal Component Analysis
|
2023
|
Olga Dorabiala
Aleksandr Y. Aravkin
J. Nathan Kutz
|
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Dimensionally consistent learning with Buckingham Pi
|
2022
|
Joseph Bakarji
Jared Callaham
Steven L. Brunton
J. Nathan Kutz
|
+
PDF
Chat
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Multiresolution convolutional autoencoders
|
2022
|
Yuying Liu
Colin Ponce
Steven L. Brunton
J. Nathan Kutz
|
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PDF
Chat
|
Model predictive control for robust quantum state preparation
|
2022
|
Andy Goldschmidt
Jonathan Dubois
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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Pruning deep neural networks generates a sparse, bio-inspired nonlinear controller for insect flight
|
2022
|
Olivia Zahn
Jorge Luis Bustamante
Callin M. Switzer
Thomas L. Daniel
J. Nathan Kutz
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Robust trimmed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>k</mml:mi></mml:math>-means
|
2022
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Olga Dorabiala
J. Nathan Kutz
Aleksandr Y. Aravkin
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PDF
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Bagging, optimized dynamic mode decomposition for robust, stable forecasting with spatial and temporal uncertainty quantification
|
2022
|
Diya Sashidhar
J. Nathan Kutz
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Hierarchical deep learning of multiscale differential equation time-steppers
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2022
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Yuying Liu
J. Nathan Kutz
Steven L. Brunton
|
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The Experimental Multi-Arm Pendulum on a Cart: A Benchmark System for Chaos, Learning, and Control
|
2022
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Kadierdan Kaheman
Urban Fasel
Jason J. Bramburger
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
|
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PDF
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The Experimental Multi-Arm Pendulum on a Cart: A Benchmark System for Chaos, Learning, and Control
|
2022
|
Kadierdan Kaheman
Urban Fasel
Jason J. Bramburger
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
|
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Dimensionally Consistent Learning with Buckingham Pi
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2022
|
Joseph Bakarji
Jared Callaham
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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Quantifying yeast colony morphologies with feature engineering from time-lapse photography
|
2022
|
Andy Goldschmidt
James Kunert-Graf
Adrian C. Scott
Zhihao Tan
Aimée M. Dudley
J. Nathan Kutz
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Modern Koopman Theory for Dynamical Systems
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2022
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Steven L. Brunton
Marko Budišić
Eurika Kaiser
J. Nathan Kutz
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Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control
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2022
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Urban Fasel
J. Nathan Kutz
Bingni W. Brunton
Steven L. Brunton
|
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PDF
Chat
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PyNumDiff: A Python package for numerical differentiation of noisy time-series data
|
2022
|
Floris van Breugel
Yuying Liu
Bingni W. Brunton
J. Nathan Kutz
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Automatic differentiation to simultaneously identify nonlinear dynamics and extract noise probability distributions from data
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2022
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Kadierdan Kaheman
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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A new approach for determining optimal placement of PM<sub>2.5</sub>air quality sensors: case study for the contiguous United States
|
2022
|
Makoto Kelp
Samuel J. Lin
J. Nathan Kutz
Loretta J. Mickley
|
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Sparsifying priors for Bayesian uncertainty quantification in model discovery
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2022
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Seth M. Hirsh
David A. Barajas‐Solano
J. Nathan Kutz
|
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PDF
Chat
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PySINDy: A comprehensive Python package for robust sparse system identification
|
2022
|
Alan A. Kaptanoglu
Brian M. de Silva
Urban Fasel
Kadierdan Kaheman
Andy Goldschmidt
Jared Callaham
Charles B. Delahunt
Zachary G. Nicolaou
Kathleen Champion
Jean-Christophe Loiseau
|
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PDF
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Dynamic mode decomposition for aero-optic wavefront characterization
|
2022
|
Shervin Sahba
Diya Sashidhar
Christopher C. Wilcox
Austin McDaniel
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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Principal component trajectories for modeling spectrally continuous dynamics as forced linear systems
|
2022
|
Daniel Dylewsky
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
|
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PDF
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Data-driven modeling of two-dimensional detonation wave fronts
|
2022
|
Ariana Mendible
Weston Lowrie
Steven L. Brunton
J. Nathan Kutz
|
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Robust and Scalable Methods for the Dynamic Mode Decomposition
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2022
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Travis Askham
Peng Zheng
Aleksandr Y. Aravkin
J. Nathan Kutz
|
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PDF
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A Toolkit for Data-Driven Discovery of Governing Equations in High-Noise Regimes
|
2022
|
Charles B. Delahunt
J. Nathan Kutz
|
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PDF
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Stochastically Forced Ensemble Dynamic Mode Decomposition for Forecasting and Analysis of Near-Periodic Systems
|
2022
|
Daniel Dylewsky
David A. Barajas‐Solano
Tong Ma
Alexandre M. Tartakovsky
J. Nathan Kutz
|
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PDF
Chat
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A new approach for determining optimal placement of PM2.5 air quality sensors: case study for the contiguous United States
|
2021
|
Makoto Kelp
Samuel J. Lin
J. Nathan Kutz
Loretta J. Mickley
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Deeptime: a Python library for machine learning dynamical models from time series data
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2021
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Moritz Hoffmann
Martin K. Scherer
Tim Hempel
Andreas Mardt
Brian M. de Silva
Brooke E. Husic
Stefan Klus
Hao Wu
J. Nathan Kutz
Steven L. Brunton
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FC2T2: The Fast Continuous Convolutional Taylor Transform with Applications in Vision and Graphics.
|
2021
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Henning Lange
J. Nathan Kutz
|
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Structured time-delay models for dynamical systems with connections to Frenet–Serret frame
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2021
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Seth M. Hirsh
Sara M. Ichinaga
Steven L. Brunton
J. Nathan Kutz
Bingni W. Brunton
|
+
PDF
Chat
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Deep learning of conjugate mappings
|
2021
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Jason J. Bramburger
Steven L. Brunton
J. Nathan Kutz
|
+
PDF
Chat
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Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression
|
2021
|
Jordan Snyder
Jared Callaham
Steven L. Brunton
J. Nathan Kutz
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Robust Trimmed k-means
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2021
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Olga Dorabiala
J. Nathan Kutz
Aleksandr Y. Aravkin
|
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PDF
Chat
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Multiscale physics of rotating detonation waves: Autosolitons and modulational instabilities
|
2021
|
James Koch
M. Kurosaka
C. Knowlen
J. Nathan Kutz
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Bagging, optimized dynamic mode decomposition (BOP-DMD) for robust, stable forecasting with spatial and temporal uncertainty-quantification.
|
2021
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Diya Sashidhar
J. Nathan Kutz
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PDF
Chat
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Data-Driven Aerospace Engineering: Reframing the Industry with Machine Learning
|
2021
|
Steven L. Brunton
J. Nathan Kutz
Krithika Manohar
Aleksandr Y. Aravkin
Kristi A. Morgansen
Jennifer Klemisch
Nicholas Goebel
James Buttrick
Jeffrey Poskin
Adriana W. Blom-Schieber
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Data-driven Modeling of Two-Dimensional Detonation Wave Fronts
|
2021
|
Ariana Mendible
Weston Lowrie
Steven L. Brunton
J. Nathan Kutz
|
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PDF
Chat
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SINDy-BVP: Sparse identification of nonlinear dynamics for boundary value problems
|
2021
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Daniel E. Shea
Steven L. Brunton
J. Nathan Kutz
|
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PDF
Chat
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A dynamic, ensemble learning approach to forecast dengue fever epidemic years in Brazil using weather and population susceptibility cycles
|
2021
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Sarah F. McGough
Leonardo Clemente
J. Nathan Kutz
Mauricio Santillana
|
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PDF
Chat
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Optimal Sensor and Actuator Selection Using Balanced Model Reduction
|
2021
|
Krithika Manohar
J. Nathan Kutz
Steven L. Brunton
|
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PDF
Chat
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Data-driven modeling of rotating detonation waves
|
2021
|
Ariana Mendible
James Koch
Henning Lange
Steven L. Brunton
J. Nathan Kutz
|
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PDF
Chat
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Built to Last: Functional and Structural Mechanisms in the Moth Olfactory Network Mitigate Effects of Neural Injury
|
2021
|
Charles B. Delahunt
Pedro D. Maia
J. Nathan Kutz
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Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression
|
2021
|
Jordan Snyder
Jared Callaham
Steven L. Brunton
J. Nathan Kutz
|
+
PDF
Chat
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Data-driven discovery of Koopman eigenfunctions for control
|
2021
|
Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
|
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Bilinear dynamic mode decomposition for quantum control
|
2021
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Andy Goldschmidt
Eurika Kaiser
Jonathan Dubois
Steven L. Brunton
J. Nathan Kutz
|
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PDF
Chat
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PySensors: A Python package for sparse sensor placement
|
2021
|
Brian M. de Silva
Krithika Manohar
Emily Clark
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
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PySensors: A Python Package for Sparse Sensor Placement.
|
2021
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Brian M. de Silva
Krithika Manohar
Emily Clark
Bingni W. Brunton
Steven L. Brunton
J. Nathan Kutz
|
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PDF
Chat
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Learning dominant physical processes with data-driven balance models
|
2021
|
Jared Callaham
James Koch
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
|
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PDF
Chat
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Nonlinear Control in the Nematode C. elegans
|
2021
|
Megan Morrison
Charles Fieseler
J. Nathan Kutz
|
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Structured Time-Delay Models for Dynamical Systems with Connections to Frenet-Serret Frame
|
2021
|
Seth M. Hirsh
Sara M. Ichinaga
Steven L. Brunton
J. Nathan Kutz
Bingni W. Brunton
|
+
PDF
Chat
|
Data-Driven Stabilization of Periodic Orbits
|
2021
|
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
|
+
PDF
Chat
|
Bracketing brackets with bras and kets
|
2021
|
Emily Clark
Angelie Vincent
J. Nathan Kutz
Steven L. Brunton
|
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PDF
Chat
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Extraction of Instantaneous Frequencies and Amplitudes in Nonstationary Time-Series Data
|
2021
|
Daniel E. Shea
Rajiv Giridharagopal
David S. Ginger
Steven L. Brunton
J. Nathan Kutz
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Learning normal form autoencoders for data-driven discovery of universal,parameter-dependent governing equations
|
2021
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Manu Kalia
Steven L. Brunton
Hil G. E. Meijer
Christoph Brüne
J. Nathan Kutz
|
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Deep Probabilistic Koopman: Long-term time-series forecasting under periodic uncertainties
|
2021
|
Alex Mallen
Henning Lange
J. Nathan Kutz
|
+
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Robust Trimmed k-means
|
2021
|
Olga Dorabiala
J. Nathan Kutz
Aleksandr Y. Aravkin
|
+
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Advanced Differential Equations: Asymptotics & Perturbations
|
2020
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J. Nathan Kutz
|
+
PDF
Chat
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Modeling thermodynamic trends of rotating detonation engines
|
2020
|
James Koch
J. Nathan Kutz
|
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Toward Stable, General Machine‐Learned Models of the Atmospheric Chemical System
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2020
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Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
|
+
PDF
Chat
|
Inferring causal networks of dynamical systems through transient dynamics and perturbation
|
2020
|
George Stepaniants
Bingni W. Brunton
J. Nathan Kutz
|
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Nonlinear Control of Networked Dynamical Systems
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2020
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Megan Morrison
J. Nathan Kutz
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Dynamic mode decomposition for forecasting and analysis of power grid load data.
|
2020
|
Daniel Dylewsky
David A. Barajas‐Solano
Tong Ma
Alexandre M. Tartakovsky
J. Nathan Kutz
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Stochastically forced ensemble dynamic mode decomposition for forecasting and analysis of near-periodic systems
|
2020
|
Daniel Dylewsky
David A. Barajas‐Solano
Tong Ma
Alexandre M. Tartakovsky
J. Nathan Kutz
|
+
PDF
Chat
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SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics
|
2020
|
Kadierdan Kaheman
J. Nathan Kutz
Steven L. Brunton
|
+
PDF
Chat
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Deep learning models for global coordinate transformations that linearise PDEs
|
2020
|
Craig Gin
Bethany Lusch
Steven L. Brunton
J. Nathan Kutz
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Deep reinforcement learning for optical systems: A case study of mode-locked lasers
|
2020
|
Chang Sun
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
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Numerical differentiation of noisy data: A unifying multi-objective optimization framework.
|
2020
|
Floris van Breugel
J. Nathan Kutz
Bingni W. Brunton
|
+
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Data-Driven Aerospace Engineering: Reframing the Industry with Machine Learning.
|
2020
|
Steven L. Brunton
J. Nathan Kutz
Krithika Manohar
Aleksandr Y. Aravkin
Kristi A. Morgansen
Jennifer Klemisch
Nicholas Goebel
James Buttrick
Jeffrey Poskin
Agnes Blom-Schieber
|
+
PDF
Chat
|
Spatiotemporal mode locking in quadratic nonlinear media
|
2020
|
Mahmut Bağcı
J. Nathan Kutz
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+
PDF
Chat
|
Sparse identification of slow timescale dynamics
|
2020
|
Jason J. Bramburger
Daniel Dylewsky
J. Nathan Kutz
|
+
PDF
Chat
|
Data-driven spatiotemporal modal decomposition for time frequency analysis
|
2020
|
Seth M. Hirsh
Bingni W. Brunton
J. Nathan Kutz
|
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Physics-informed machine learning for sensor fault detection with flight test data
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2020
|
Brian M. de Silva
Jared Callaham
Jonathan Jonker
Nicholas Goebel
Jennifer Klemisch
Darren McDonald
Nathan Hicks
J. Nathan Kutz
Steven L. Brunton
Aleksandr Y. Aravkin
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+
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Nonlinear control of networked dynamical systems
|
2020
|
Megan Morrison
J. Nathan Kutz
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Shallow neural networks for fluid flow reconstruction with limited sensors
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2020
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N. Benjamin Erichson
Lionel Mathelin
Zhewei Yao
Steven L. Brunton
Michael W. Mahoney
J. Nathan Kutz
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Principal Component Trajectories (PCT): Nonlinear dynamics as a superposition of time-delayed periodic orbits.
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2020
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Daniel Dylewsky
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
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Randomized CP tensor decomposition
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2020
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N. Benjamin Erichson
Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Sensor Selection With Cost Constraints for Dynamically Relevant Bases
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2020
|
Emily Clark
J. Nathan Kutz
Steven L. Brunton
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Multi-fidelity sensor selection: Greedy algorithms to place cheap and expensive sensors with cost constraints
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2020
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Emily Clark
Steven L. Brunton
J. Nathan Kutz
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PDF
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Dimensionality reduction and reduced-order modeling for traveling wave physics
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2020
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Ariana Mendible
Steven L. Brunton
Aleksandr Y. Aravkin
Wes Lowrie
J. Nathan Kutz
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PDF
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Discovery of Physics From Data: Universal Laws and Discrepancies
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2020
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Brian M. de Silva
David Higdon
Steven L. Brunton
J. Nathan Kutz
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PDF
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Poincaré maps for multiscale physics discovery and nonlinear Floquet theory
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2020
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Jason J. Bramburger
J. Nathan Kutz
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Sensor Selection With Cost Constraints for Dynamically Relevant Bases
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2020
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Emily Clark
J. Nathan Kutz
Steven L. Brunton
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PDF
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Toward stable, general machine-learned models of the atmospheric chemical system
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2020
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Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
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Toward stable, general machine-learned models of the atmospheric chemical system
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2020
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Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
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Toward stable, general machine-learned models of the atmospheric chemical system
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2020
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Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
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PDF
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Deep model predictive flow control with limited sensor data and online learning
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2020
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Katharina Bieker
Sebastian Peitz
Steven L. Brunton
J. Nathan Kutz
Michael Dellnitz
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Nonlinear control in the nematode C. elegans
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2020
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Megan Morrison
Charles Fieseler
J. Nathan Kutz
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PDF
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Mode-locked rotating detonation waves: Experiments and a model equation
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2020
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James Koch
M. Kurosaka
C. Knowlen
J. Nathan Kutz
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PDF
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Sparse Principal Component Analysis via Variable Projection
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2020
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N. Benjamin Erichson
Peng Zheng
Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
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PDF
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Data-Driven Approximations of Dynamical Systems Operators for Control
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2020
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Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
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Unsupervised learning of control signals and their encodings in $\textit{C. elegans}$ whole-brain recordings
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2020
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Charles Fieseler
Manuel Zimmer
J. Nathan Kutz
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Multiresolution Convolutional Autoencoders
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2020
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Yuying Liu
Colin Ponce
Steven L. Brunton
J. Nathan Kutz
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PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data
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2020
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Brian M. de Silva
Kathleen Champion
Markus Quade
Jean-Christophe Loiseau
J. Nathan Kutz
Steven L. Brunton
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PDF
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Time-Delay Observables for Koopman: Theory and Applications
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2020
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Mason Kamb
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
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Deep reinforcement learning for optical systems: A case study of mode-locked lasers
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2020
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Chang Sun
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Multi-fidelity sensor selection: Greedy algorithms to place cheap and expensive sensors with cost constraints
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2020
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Emily Clark
Steven L. Brunton
J. Nathan Kutz
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Machine Learning and Feature Engineering for Predicting Pulse Status during Chest Compressions
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2020
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Diya Sashidhar
Heemun Kwok
Jason Coult
Jen Blackwood
Peter Kudenchuck
Shiv Bhandari
Thomas D. Rea
J. Nathan Kutz
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PDF
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Centering Data Improves the Dynamic Mode Decomposition
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2020
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Seth M. Hirsh
Kameron Decker Harris
J. Nathan Kutz
Bingni W. Brunton
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PDF
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A Unified Sparse Optimization Framework to Learn Parsimonious Physics-Informed Models From Data
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2020
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Kathleen M. Champion
Peng Zheng
Aleksandr Y. Aravkin
Steven L. Brunton
J. Nathan Kutz
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PDF
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Numerical Differentiation of Noisy Data: A Unifying Multi-Objective Optimization Framework
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2020
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Floris van Breugel
J. Nathan Kutz
Bingni W. Brunton
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Frequency Comb Generation at 800 nm in Waveguide Array Quantum Well Diode Lasers
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2019
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Chang Sun
Mark Dong
Niall M. Mangan
Herbert G. Winful
Steven T. Cundiff
J. Nathan Kutz
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Stable numerical schemes for nonlinear dispersive equations with counter-propagation and gain dynamics
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2019
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Chang Sun
Niall M. Mangan
Mark Dong
Herbert G. Winful
Steven T. Cundiff
J. Nathan Kutz
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PDF
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Data-driven discovery of coordinates and governing equations
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2019
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Kathleen Champion
Bethany Lusch
J. Nathan Kutz
Steven L. Brunton
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Shape Constrained Tensor Decompositions
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2019
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Bethany Lusch
C. Eric
J. Nathan Kutz
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Learning Discrepancy Models From Experimental Data.
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2019
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Kadierdan Kaheman
Eurika Kaiser
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
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PDF
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Smoothing and parameter estimation by soft-adherence to governing equations
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2019
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Samuel Rudy
Steven L. Brunton
J. Nathan Kutz
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PDF
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Forecasting dengue fever in Brazil: An assessment of climate conditions
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2019
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Lucas M. Stolerman
Pedro D. Maia
J. Nathan Kutz
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PDF
Chat
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Deep learning of dynamics and signal-noise decomposition with time-stepping constraints
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2019
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Samuel Rudy
J. Nathan Kutz
Steven L. Brunton
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A unified sparse optimization framework to learn parsimonious physics-informed models from data
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2019
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Kathleen Champion
Peng Zheng
Aleksandr Y. Aravkin
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Dynamic mode decomposition for multiscale nonlinear physics
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2019
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Daniel Dylewsky
Molei Tao
J. Nathan Kutz
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Centering Data Improves the Dynamic Mode Decomposition
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2019
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Seth M. Hirsh
Kameron Decker Harris
J. Nathan Kutz
Bingni W. Brunton
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PDF
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Combining weather patterns and cycles of population susceptibility to forecast dengue fever epidemic years in Brazil: a dynamic, ensemble learning approach
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2019
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Sarah F. McGough
César Leonardo Clemente
J. Nathan Kutz
Mauricio Santillana
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PDF
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Putting a bug in ML: The moth olfactory network learns to read MNIST
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2019
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Charles B. Delahunt
J. Nathan Kutz
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PDF
Chat
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Deep Model Predictive Control with Online Learning for Complex Physical Systems.
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2019
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Katharina Bieker
Sebastian Peitz
Steven L. Brunton
J. Nathan Kutz
Michael Dellnitz
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PDF
Chat
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Engineering structural robustness in power grid networks susceptible to community desynchronization
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2019
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Daniel Dylewsky
Xiu Yang
Alexandre M. Tartakovsky
J. Nathan Kutz
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Dynamic Mode Decomposition for Compressive System Identification
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2019
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Zhe Bai
Eurika Kaiser
Joshua L. Proctor
J. Nathan Kutz
Steven L. Brunton
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PDF
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Model selection for hybrid dynamical systems via sparse regression
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2019
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Niall M. Mangan
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Joshua L. Proctor
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Linear Control Theory
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2019
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Steven L. Brunton
J. Nathan Kutz
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Reduced Order Models (ROMs)
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2019
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Steven L. Brunton
J. Nathan Kutz
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PDF
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Randomized model order reduction
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2019
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Alessandro Alla
J. Nathan Kutz
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PDF
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Randomized Matrix Decompositions Using <i>R</i>
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2019
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N. Benjamin Erichson
Sergey Voronin
Steven L. Brunton
J. Nathan Kutz
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PDF
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Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings
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2019
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Kathleen Champion
Steven L. Brunton
J. Nathan Kutz
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Money on the Table: Statistical information ignored by Softmax can improve classifier accuracy
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2019
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Charles B. Delahunt
Courosh Mehanian
J. Nathan Kutz
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Dynamic Mode Decomposition and Sparse Measurements for Characterization and Monitoring of Power System Disturbances
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2019
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Juan Ramos
J. Nathan Kutz
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PDF
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Data-Driven Identification of Parametric Partial Differential Equations
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2019
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Samuel Rudy
Alessandro Alla
Steven L. Brunton
J. Nathan Kutz
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PDF
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Optimized Sampling for Multiscale Dynamics
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2019
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Krithika Manohar
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
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PDF
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Biological Mechanisms for Learning: A Computational Model of Olfactory Learning in the Manduca sexta Moth, With Applications to Neural Nets
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2018
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Charles B. Delahunt
Jeffrey A. Riffell
J. Nathan Kutz
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PDF
Chat
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Greedy Sensor Placement With Cost Constraints
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2018
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Emily Clark
Travis Askham
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Feedback through graph motifs relates structure and function in complex networks
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2018
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Yu Hu
Steven L. Brunton
Nicholas Cain
Ştefan Mihalaş
J. Nathan Kutz
Eric Shea‐Brown
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PDF
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A Unified Framework for Sparse Relaxed Regularized Regression: SR3
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2018
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Peng Zheng
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
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Optimal Sensor and Actuator Placement using Balanced Model Reduction.
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2018
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Krithika Manohar
J. Nathan Kutz
Steven L. Brunton
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Optimal Sensor and Actuator Selection using Balanced Model Reduction
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2018
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Krithika Manohar
J. Nathan Kutz
Steven L. Brunton
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PDF
Chat
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Discovering Conservation Laws from Data for Control
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2018
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Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
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PDF
Chat
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Deep learning for universal linear embeddings of nonlinear dynamics
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2018
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Bethany Lusch
J. Nathan Kutz
Steven L. Brunton
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Discovering conservation laws from data for control
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2018
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Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
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PDF
Chat
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Sparse identification of nonlinear dynamics for model predictive control in the low-data limit
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2018
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Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
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Insect cyborgs: Biological feature generators improve machine learning accuracy on limited data.
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2018
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Charles B. Delahunt
J. Nathan Kutz
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Built to Last: Functional and structural mechanisms in the moth olfactory network mitigate effects of neural injury
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2018
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Charles B. Delahunt
Pedro D. Maia
J. Nathan Kutz
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Deterministic generation of single soliton Kerr frequency comb in microresonators by a single shot pulsed trigger
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2018
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Zhe Kang
Feng Li
Jinhui Yuan
K. Nakkeeran
J. Nathan Kutz
Qiang Wu
Chongxiu Yu
P. K. A. Wai
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Data-driven Spatiotemporal Modal Decomposition for Time Frequency Analysis
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2018
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Seth M. Hirsh
Bingni W. Brunton
J. Nathan Kutz
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Data-driven identification of parametric partial differential equations
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2018
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Samuel Rudy
Alessandro Alla
Steven L. Brunton
J. Nathan Kutz
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Sparse identification of nonlinear dynamics for rapid model recovery
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2018
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Markus Quade
Markus Abel
J. Nathan Kutz
Steven L. Brunton
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PDF
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Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns
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2018
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Krithika Manohar
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
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Stability and dynamics of microring combs: elliptic function solutions of the Lugiato–Lefever equation
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2018
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Chang Sun
Travis Askham
J. Nathan Kutz
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Greedy Sensor Placement with Cost Constraints
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2018
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Emily Clark
Travis Askham
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Dynamic mode decomposition for plasma diagnostics and validation
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2018
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R. J. Taylor
J. Nathan Kutz
Kyle Morgan
B. A. Nelson
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Predicting shim gaps in aircraft assembly with machine learning and sparse sensing
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2018
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Krithika Manohar
Thomas A. Hogan
Jim Buttrick
Ashis G. Banerjee
J. Nathan Kutz
Steven L. Brunton
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PDF
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Modeling cognitive deficits following neurodegenerative diseases and traumatic brain injuries with deep convolutional neural networks
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2018
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Bethany Lusch
Jake Weholt
Pedro D. Maia
J. Nathan Kutz
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Deep learning and model predictive control for self-tuning mode-locked lasers
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2018
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Thomas Baumeister
Steven L. Brunton
J. Nathan Kutz
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Putting a bug in ML: The moth olfactory network learns to read MNIST
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2018
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Charles B. Delahunt
J. Nathan Kutz
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+
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Biological Mechanisms for Learning: A Computational Model of Olfactory Learning in the Manduca sexta Moth, with Applications to Neural Nets
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2018
|
Charles B. Delahunt
Jeffrey A. Riffell
J. Nathan Kutz
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Randomized nonnegative matrix factorization
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2018
|
N. Benjamin Erichson
Ariana Mendible
Sophie Wihlborn
J. Nathan Kutz
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PDF
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Online Interpolation Point Refinement for Reduced-Order Models using a Genetic Algorithm
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2018
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Syuzanna Sargsyan
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Variable Projection Methods for an Optimized Dynamic Mode Decomposition
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2018
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Travis Askham
J. Nathan Kutz
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Diffusion Maps meet Nyström
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2018
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N. Benjamin Erichson
Lionel Mathelin
Steven L. Brunton
J. Nathan Kutz
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A Unified Framework for Sparse Relaxed Regularized Regression: SR3
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2018
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Peng Zheng
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
|
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PDF
Chat
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Applied Koopman Theory for Partial Differential Equations and Data-Driven Modeling of Spatio-Temporal Systems
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2018
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J. Nathan Kutz
Joshua L. Proctor
Steven L. Brunton
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PDF
Chat
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Generalizing Koopman Theory to Allow for Inputs and Control
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2018
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Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
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Insect cyborgs: Bio-mimetic feature generators improve machine learning accuracy on limited data
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2018
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Charles B. Delahunt
J. Nathan Kutz
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Robust and scalable methods for the dynamic mode decomposition
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2017
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Travis Askham
Peng Zheng
Aleksandr Y. Aravkin
J. Nathan Kutz
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Sparsity enabled cluster reduced-order models for control
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2017
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Eurika Kaiser
Marek Morzyński
Guillaume Daviller
J. Nathan Kutz
Bingni W. Brunton
Steven L. Brunton
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PDF
Chat
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Traveling Wave Model for Frequency Comb Generation in Single-Section Quantum Well Diode Lasers
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2017
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Mark Dong
Niall M. Mangan
J. Nathan Kutz
Steven T. Cundiff
Herbert G. Winful
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Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations
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2017
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Xing Fu
J. Nathan Kutz
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PDF
Chat
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Model selection for dynamical systems via sparse regression and information criteria
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2017
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Niall M. Mangan
J. Nathan Kutz
Steven L. Brunton
Joshua L. Proctor
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The control structure of the nematode Caenorhabditis elegans: neuro-sensory integration and propioceptive feedback
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2017
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Charles Fieseler
James Kunert-Graf
J. Nathan Kutz
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PDF
Chat
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Chaos as an intermittently forced linear system
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2017
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Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
Eurika Kaiser
J. Nathan Kutz
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PDF
Chat
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Data-driven discovery of partial differential equations
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2017
|
Samuel Rudy
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
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Variable projection methods for an optimized dynamic mode decomposition
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2017
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Travis Askham
J. Nathan Kutz
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+
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Randomized CP Tensor Decomposition
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2017
|
N. Benjamin Erichson
Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Environment identification in flight using sparse approximation of wing strain
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2017
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Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
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Data-Driven Sparse Sensor Placement.
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2017
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Krithika Manohar
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
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Data-Driven Forecast of Dengue Outbreaks in Brazil: A Critical Assessment of Climate Conditions for Different Capitals
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2017
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Lucas M. Stolerman
Pedro D. Maia
J. Nathan Kutz
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Eckhaus Instability in the Fourier-Domain Mode Locked Fiber Laser Cavity
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2017
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Feng Li
K. Nakkeeran
J. Nathan Kutz
Jinhui Yuan
Zhe Kang
Xianting Zhang
P. K. A. Wai
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PDF
Chat
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Nonlinear Model Order Reduction via Dynamic Mode Decomposition
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2017
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Alessandro Alla
J. Nathan Kutz
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Streaming GPU Singular Value and Dynamic Mode Decompositions
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2016
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Seth D. Pendergrass
J. Nathan Kutz
Steven L. Brunton
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PDF
Chat
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Compressed dynamic mode decomposition for background modeling
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2016
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N. Benjamin Erichson
Steven L. Brunton
J. Nathan Kutz
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Chapter 11: Epidemiology
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2016
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J. Nathan Kutz
Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
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+
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Randomized Model Order Reduction
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2016
|
Alessandro Alla
J. Nathan Kutz
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+
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Online interpolation point refinement for reduced order models using a genetic algorithm
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2016
|
Syuzanna Sargsyan
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
|
Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics
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2016
|
Niall M. Mangan
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
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Inferring biological networks by sparse identification of nonlinear dynamics
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2016
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Niall M. Mangan
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
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+
PDF
Chat
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Dynamic mode decomposition for financial trading strategies
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2016
|
Jordan Mann
J. Nathan Kutz
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Discovering governing equations from data by sparse identification of nonlinear dynamical systems
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2016
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Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
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PDF
Chat
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Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control
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2016
|
Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
J. Nathan Kutz
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Nonlinear model order reduction via Dynamic Mode Decomposition
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2016
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Alessandro Alla
J. Nathan Kutz
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Symmetries constrain dynamics in a family of balanced neural networks
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2016
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Andrea K. Barreiro
J. Nathan Kutz
Eli Shlizerman
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PDF
Chat
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Dynamic Mode Decomposition with Control
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2016
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Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Classification of Spatiotemporal Data via Asynchronous Sparse Sampling: Application to Flow around a Cylinder
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2016
|
Ido Bright
Guang Lin
J. Nathan Kutz
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PDF
Chat
|
Multiresolution Dynamic Mode Decomposition
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2016
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J. Nathan Kutz
Xing Fu
Steven L. Brunton
|
+
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Koopman Theory for Partial Differential Equations
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2016
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J. Nathan Kutz
Joshua L. Proctor
Steven L. Brunton
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Shape Constrained Tensor Decompositions using Sparse Representations in Over-Complete Libraries
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2016
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Bethany Lusch
C. Eric
J. Nathan Kutz
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Reaction time impairments in decision-making networks as a diagnostic marker for traumatic brain injuries and neurodegenerative diseases
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2016
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Pedro D. Maia
J. Nathan Kutz
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Associative Memory Impairments arising from Neurodegenerative Diseases and Traumatic Brain Injuries in a Hopfield Network Model
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2016
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M. Weber
Pedro D. Maia
J. Nathan Kutz
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Compressed Dynamic Mode Decomposition for Real-Time Object Detection
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2015
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N. Benjamin Erichson
Steven L. Brunton
J. Nathan Kutz
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PDF
Chat
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Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition
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2015
|
Bingni W. Brunton
Lise A. Johnson
Jeffrey G. Ojemann
J. Nathan Kutz
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PDF
Chat
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Nonlinear model reduction for dynamical systems using sparse sensor locations from learned libraries
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2015
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Syuzanna Sargsyan
Steven L. Brunton
J. Nathan Kutz
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The role of multistability and transient trajectories in networked dynamical systems: Connectomic dynamics of C. elegans and behavioral assays
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2015
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James Kunert
Eli Shlizerman
Andrew A. Walker
J. Nathan Kutz
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Dynamic Mode Decomposition for Financial Trading Strategies
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2015
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Jordan Mann
J. Nathan Kutz
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Multi-Resolution Dynamic Mode Decomposition
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2015
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J. Nathan Kutz
Xing Fu
Steven L. Brunton
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+
PDF
Chat
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Sidelobe Canceling for Reconfigurable Holographic Metamaterial Antenna
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2015
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Mikala C. Johnson
Steven L. Brunton
Nathan Kundtz
J. Nathan Kutz
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Classification of Spatio-Temporal Data via Asynchronous Sparse Sampling: Application to Flow Around a Cylinder
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2015
|
Ido Bright
Guang Lin
J. Nathan Kutz
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+
PDF
Chat
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A Reaction-Diffusion Model of Cholinergic Retinal Waves
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2014
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Benjamin Lansdell
Kevin Ford
J. Nathan Kutz
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Modeling disease transmission near eradication: An equation free approach
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2014
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Matthew O. Williams
Joshua L. Proctor
J. Nathan Kutz
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Dynamic mode decomposition with control
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2014
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Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
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Spectral analysis of fluid flows using sub-Nyquist-rate PIV data
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2014
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Jonathan H. Tu
Clarence W. Rowley
J. Nathan Kutz
Jessica K. Shang
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Data-driven inference of network connectivity for modeling the dynamics of neural codes in the insect antennal lobe
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2014
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Eli Shlizerman
Jeffrey A. Riffell
J. Nathan Kutz
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Low-dimensional functionality of complex network dynamics: Neurosensory integration in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="italic">Caenorhabditis</mml:mi><mml:mspace width="0.28em" /><mml:mi mathvariant="italic">elegans</mml:mi></mml:mrow></mml:math>connectome
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2014
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James Kunert
Eli Shlizerman
J. Nathan Kutz
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Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems
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2014
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Steven L. Brunton
Jonathan H. Tu
Ido Bright
J. Nathan Kutz
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Mode-Locked Chip Laser using Waveguide Arrays
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2014
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Xiao Zhang
Matthew O. Williams
Steven T. Cundiff
J. Nathan Kutz
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On dynamic mode decomposition: Theory and applications
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2014
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Jonathan H. Tu
Clarence W. Rowley
Dirk M. Luchtenburg
Steven L. Brunton
J. Nathan Kutz
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Data-driven modeling of the olfactory neural codes and their dynamics in the insect antennal lobe
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2013
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Eli Shlizerman
Jeffrey A. Riffell
J. Nathan Kutz
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Compressive sampling and dynamic mode decomposition
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2013
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Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
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Optimal Sensor Placement and Enhanced Sparsity for Classification
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2013
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Bingni W. Brunton
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
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Spatial distribution clamping of discrete spatial solitons due to three photon absorption in AlGaAs waveguide arrays
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2012
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Darren D. Hudson
J. Nathan Kutz
T. R. Schibli
Demetrios N. Christodoulides
Roberto Morandotti
Steven T. Cundiff
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Atomic interactions in precision interferometry using Bose-Einstein condensates
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2011
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Alan O. Jamison
J. Nathan Kutz
Subhadeep Gupta
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Analytic theory of parabolic pulses in dissipative systems with rapidly varying mean-zero dispersion
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2009
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Brandon G. Bale
J. Nathan Kutz
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Nonlinear femtosecond pulse reshaping in waveguide arrays
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2008
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Darren D. Hudson
Kimberlee H. Shish
T. R. Schibli
J. Nathan Kutz
Demetrios N. Christodoulides
Roberto Morandotti
Steven T. Cundiff
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SpectrUW: A laboratory for the numerical exploration of spectra of linear operators
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2006
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Bernard Deconinck
Firat Kiyak
John D. Carter
J. Nathan Kutz
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Computing spectra of linear operators using the Floquet–Fourier–Hill method
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2006
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Bernard Deconinck
J. Nathan Kutz
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Exact nonstationary solutions to the mean-field equations of motion for two-component Bose–Einstein condensates in periodic potentials
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2005
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R. Mark Bradley
Bernard Deconinck
J. Nathan Kutz
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Singular instability of exact stationary solutions of the non-local Gross–Pitaevskii equation
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2003
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Bernard Deconinck
J. Nathan Kutz
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Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the nonlinear Schrödinger equation
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2002
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Khan W. Mahmud
J. Nathan Kutz
William P. Reinhardt
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Stability of attractive Bose-Einstein condensates in a periodic potential
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2001
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Jared C. Bronski
Lincoln D. Carr
R. Carretero-González
Bernard Deconinck
J. Nathan Kutz
Keith Promislow
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Dynamics and Stability of Bose-Einstein Condensates: the Nonlinear Schrodinger Equation with Periodic Potential
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2001
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Bernard Deconinck
Béla A. Frigyik
J. Nathan Kutz
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Stability of stationary states in the cubic nonlinear Schrödinger equation: Applications to the Bose-Einstein condensate
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2001
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Lincoln D. Carr
J. Nathan Kutz
William P. Reinhardt
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Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions
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2001
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Bernard Deconinck
Béla A. Frigyik
J. Nathan Kutz
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Stability of repulsive Bose-Einstein condensates in a periodic potential
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2001
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Jared C. Bronski
Lincoln D. Carr
Bernard Deconinck
J. Nathan Kutz
Keith Promislow
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PDF
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Bose-Einstein Condensates in Standing Waves: The Cubic Nonlinear Schrödinger Equation with a Periodic Potential
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2001
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Jared C. Bronski
Lincoln D. Carr
Bernard Deconinck
J. Nathan Kutz
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Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator
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2000
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Keith Promislow
J. Nathan Kutz
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Dynamics and Bifurcations of a Planar Map Modeling Dispersion Managed Breathers
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1999
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J. Nathan Kutz
Philip Holmes
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Global existence and uniqueness for an optical fibre laser model
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1998
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Alexander Mielke
Philip Holmes
J. Nathan Kutz
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Noise-induced amplitude and chirp jitter in dispersion-managed soliton communications
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1998
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J. Nathan Kutz
P. K. A. Wai
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Modulational stability of plane waves in nonreturn-to-zero communications systems with dispersion management
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1996
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Jared C. Bronski
J. Nathan Kutz
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Long-distance pulse propagation in nonlinear optical fibers by using periodically spaced parametric amplifiers
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1993
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J. Nathan Kutz
William L. Kath
Ruo-Ding Li
Prem Kumar
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