J. Nathan Kutz

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All published works
Action Title Year Authors
+ Automating the practice of science: Opportunities, challenges, and implications 2025 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 Data-driven methods to discover stable linear models of the helicity injectors on HIT-SIU 2025 Zachary L. Daniel
Alan A. Kaptanoglu
Christopher J. Hansen
Kyle Morgan
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Data-Driven Discovery of a New Ginzburg-Landau Reduced-Order Model for Vortex Shedding 2024 J. J. Williams
Zachary G. Nicolaou
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Reservoir computing for system identification and predictive control with limited data 2024 J. WILLIAMS
J. Nathan Kutz
Krithika Manohar
+ PDF Chat Towards a Reliable Offline Personal AI Assistant for Long Duration Spaceflight 2024 Oliver Bensch
Leonie Bensch
Tommy Nilsson
Florian Saling
Wafa M. Sadri
Carsten Hartmann
Tobias Hecking
J. Nathan Kutz
+ PDF Chat 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
+ PDF Chat Robust State Estimation from Partial Out-Core Measurements with Shallow Recurrent Decoder for Nuclear Reactors 2024 Stefano Riva
Carolina Introini
Antonio Cammi
J. Nathan Kutz
+ Sensing with shallow recurrent decoder networks 2024 Jan P. Williams
Olivia Zahn
J. Nathan Kutz
+ PDF Chat 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 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
+ PDF Chat Long Sequence Decoder Network for Mobile Sensing 2024 Jiazhong Mei
J. Nathan Kutz
+ PDF Chat Mobile Sensor Path Planning for Kalman Filter Spatiotemporal Estimation 2024 Jiazhong Mei
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ PDF Chat Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics 2024 J. Nathan Kutz
Maryam Reza
Farbod Faraji
Aaron Knoll
+ PDF Chat 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
+ PDF Chat SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning 2024 Nicholas Zolman
Urban Fasel
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat 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
+ PDF Chat 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
+ PDF Chat Statistical Mechanics of Dynamical System Identification 2024 Andrei A. Klishin
Joseph Bakarji
J. Nathan Kutz
Krithika Manohar
+ PDF Chat 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 Chat 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
+ PDF Chat Discrepancy Modeling Framework: Learning Missing Physics, Modeling Systematic Residuals, and Disambiguating between Deterministic and Random Effects 2024 Megan R. Ebers
Katherine M. Steele
J. Nathan Kutz
+ PDF Chat Ensemble Principal Component Analysis 2024 Olga Dorabiala
Aleksandr Y. Aravkin
J. Nathan Kutz
+ PDF Chat 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
+ 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
+ PDF Chat 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
+ PDF Chat Pilot-wave dynamics: Using dynamic mode decomposition to characterize bifurcations, routes to chaos, and emergent statistics 2023 J. Nathan Kutz
André Nachbin
Peter J. Baddoo
John W. M. Bush
+ PDF Chat Deep Probabilistic Koopman: Long-term time-series forecasting under periodic uncertainties 2023 Alex Mallen
Henning Lange
J. Nathan Kutz
+ PDF Chat Discovering governing equations from partial measurements with deep delay autoencoders 2023 Joseph Bakarji
Kathleen M. Champion
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Transitions between peace and systemic war as bifurcations in a signed network dynamical system 2023 Megan Morrison
J. Nathan Kutz
Michael Gabbay
+ PDF Chat Walking Droplets as a Damped-Driven System 2023 Aminur Rahman
J. Nathan Kutz
+ PDF Chat 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
+ Machine learning for parameter estimation 2023 J. Nathan Kutz
+ PDF Chat Saddle transport and chaos in the double pendulum 2023 Kadierdan Kaheman
Jason J. Bramburger
J. Nathan Kutz
Steven L. Brunton
+ 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
+ Model Order Reduction and Applications 2023 Michael Hinze
J. Nathan Kutz
Olga Mula
Karsten Urban
+ PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator 2023 Shaowu Pan
Eurika Kaiser
Brian M. de Silva
J. Nathan Kutz
Steven L. Brunton
+ Data-Induced Interactions of Sparse Sensors 2023 Andrei A. Klishin
J. Nathan Kutz
Krithika Manohar
+ Nonlinear parametric models of viscoelastic fluid flows 2023 Cassio M. Oishi
Alan A. Kaptanoglu
J. Nathan Kutz
Steven L. Brunton
+ Dynamic Mode Decomposition for data-driven analysis and reduced-order modelling of ExB plasmas: II. dynamics forecasting 2023 Farbod Faraji
Maryam Reza
Aaron Knoll
J. Nathan Kutz
+ Multi-fidelity reduced-order surrogate modeling 2023 Paolo Conti
Mengwu Guo
Andrea Manzoni
Attilio Frangi
Steven L. Brunton
J. Nathan Kutz
+ HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations 2023 Mozes Jacobs
Bingni W. Brunton
Steven L. Brunton
J. Nathan Kutz
Ryan V. Raut
+ Ensemble Principal Component Analysis 2023 Olga Dorabiala
Aleksandr Y. Aravkin
J. Nathan Kutz
+ Dimensionally consistent learning with Buckingham Pi 2022 Joseph Bakarji
Jared Callaham
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Multiresolution convolutional autoencoders 2022 Yuying Liu
Colin Ponce
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Model predictive control for robust quantum state preparation 2022 Andy Goldschmidt
Jonathan Dubois
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ 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 Olga Dorabiala
J. Nathan Kutz
Aleksandr Y. Aravkin
+ PDF Chat Bagging, optimized dynamic mode decomposition for robust, stable forecasting with spatial and temporal uncertainty quantification 2022 Diya Sashidhar
J. Nathan Kutz
+ Hierarchical deep learning of multiscale differential equation time-steppers 2022 Yuying Liu
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat 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
+ PDF Chat 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
+ Dimensionally Consistent Learning with Buckingham Pi 2022 Joseph Bakarji
Jared Callaham
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ Modern Koopman Theory for Dynamical Systems 2022 Steven L. Brunton
Marko Budišić
Eurika Kaiser
J. Nathan Kutz
+ Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control 2022 Urban Fasel
J. Nathan Kutz
Bingni W. Brunton
Steven L. Brunton
+ PDF Chat PyNumDiff: A Python package for numerical differentiation of noisy time-series data 2022 Floris van Breugel
Yuying Liu
Bingni W. Brunton
J. Nathan Kutz
+ Automatic differentiation to simultaneously identify nonlinear dynamics and extract noise probability distributions from data 2022 Kadierdan Kaheman
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ Sparsifying priors for Bayesian uncertainty quantification in model discovery 2022 Seth M. Hirsh
David A. Barajas‐Solano
J. Nathan Kutz
+ PDF Chat 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
+ PDF Chat Dynamic mode decomposition for aero-optic wavefront characterization 2022 Shervin Sahba
Diya Sashidhar
Christopher C. Wilcox
Austin McDaniel
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Principal component trajectories for modeling spectrally continuous dynamics as forced linear systems 2022 Daniel Dylewsky
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Data-driven modeling of two-dimensional detonation wave fronts 2022 Ariana Mendible
Weston Lowrie
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Robust and Scalable Methods for the Dynamic Mode Decomposition 2022 Travis Askham
Peng Zheng
Aleksandr Y. Aravkin
J. Nathan Kutz
+ PDF Chat A Toolkit for Data-Driven Discovery of Governing Equations in High-Noise Regimes 2022 Charles B. Delahunt
J. Nathan Kutz
+ PDF Chat 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
+ PDF Chat 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
+ Deeptime: a Python library for machine learning dynamical models from time series data 2021 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
+ FC2T2: The Fast Continuous Convolutional Taylor Transform with Applications in Vision and Graphics. 2021 Henning Lange
J. Nathan Kutz
+ 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 Deep learning of conjugate mappings 2021 Jason J. Bramburger
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ Robust Trimmed k-means 2021 Olga Dorabiala
J. Nathan Kutz
Aleksandr Y. Aravkin
+ PDF Chat Multiscale physics of rotating detonation waves: Autosolitons and modulational instabilities 2021 James Koch
M. Kurosaka
C. Knowlen
J. Nathan Kutz
+ Bagging, optimized dynamic mode decomposition (BOP-DMD) for robust, stable forecasting with spatial and temporal uncertainty-quantification. 2021 Diya Sashidhar
J. Nathan Kutz
+ PDF Chat 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
+ Data-driven Modeling of Two-Dimensional Detonation Wave Fronts 2021 Ariana Mendible
Weston Lowrie
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat SINDy-BVP: Sparse identification of nonlinear dynamics for boundary value problems 2021 Daniel E. Shea
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat A dynamic, ensemble learning approach to forecast dengue fever epidemic years in Brazil using weather and population susceptibility cycles 2021 Sarah F. McGough
Leonardo Clemente
J. Nathan Kutz
Mauricio Santillana
+ PDF Chat Optimal Sensor and Actuator Selection Using Balanced Model Reduction 2021 Krithika Manohar
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Data-driven modeling of rotating detonation waves 2021 Ariana Mendible
James Koch
Henning Lange
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ 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 Data-driven discovery of Koopman eigenfunctions for control 2021 Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
+ Bilinear dynamic mode decomposition for quantum control 2021 Andy Goldschmidt
Eurika Kaiser
Jonathan Dubois
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat 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
+ PySensors: A Python Package for Sparse Sensor Placement. 2021 Brian M. de Silva
Krithika Manohar
Emily Clark
Bingni W. Brunton
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Learning dominant physical processes with data-driven balance models 2021 Jared Callaham
James Koch
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Nonlinear Control in the Nematode C. elegans 2021 Megan Morrison
Charles Fieseler
J. Nathan Kutz
+ 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
+ PDF Chat 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
+ Learning normal form autoencoders for data-driven discovery of universal,parameter-dependent governing equations 2021 Manu Kalia
Steven L. Brunton
Hil G. E. Meijer
Christoph Brüne
J. Nathan Kutz
+ Deep Probabilistic Koopman: Long-term time-series forecasting under periodic uncertainties 2021 Alex Mallen
Henning Lange
J. Nathan Kutz
+ Robust Trimmed k-means 2021 Olga Dorabiala
J. Nathan Kutz
Aleksandr Y. Aravkin
+ Advanced Differential Equations: Asymptotics & Perturbations 2020 J. Nathan Kutz
+ PDF Chat Modeling thermodynamic trends of rotating detonation engines 2020 James Koch
J. Nathan Kutz
+ Toward Stable, General Machine‐Learned Models of the Atmospheric Chemical System 2020 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
+ Nonlinear Control of Networked Dynamical Systems 2020 Megan Morrison
J. Nathan Kutz
+ 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
+ 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 SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics 2020 Kadierdan Kaheman
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Deep learning models for global coordinate transformations that linearise PDEs 2020 Craig Gin
Bethany Lusch
Steven L. Brunton
J. Nathan Kutz
+ Deep reinforcement learning for optical systems: A case study of mode-locked lasers 2020 Chang Sun
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
+ Numerical differentiation of noisy data: A unifying multi-objective optimization framework. 2020 Floris van Breugel
J. Nathan Kutz
Bingni W. Brunton
+ 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
+ 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
+ Physics-informed machine learning for sensor fault detection with flight test data 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
+ Nonlinear control of networked dynamical systems 2020 Megan Morrison
J. Nathan Kutz
+ Shallow neural networks for fluid flow reconstruction with limited sensors 2020 N. Benjamin Erichson
Lionel Mathelin
Zhewei Yao
Steven L. Brunton
Michael W. Mahoney
J. Nathan Kutz
+ Principal Component Trajectories (PCT): Nonlinear dynamics as a superposition of time-delayed periodic orbits. 2020 Daniel Dylewsky
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
+ Randomized CP tensor decomposition 2020 N. Benjamin Erichson
Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Sensor Selection With Cost Constraints for Dynamically Relevant Bases 2020 Emily Clark
J. Nathan Kutz
Steven L. Brunton
+ Multi-fidelity sensor selection: Greedy algorithms to place cheap and expensive sensors with cost constraints 2020 Emily Clark
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Dimensionality reduction and reduced-order modeling for traveling wave physics 2020 Ariana Mendible
Steven L. Brunton
Aleksandr Y. Aravkin
Wes Lowrie
J. Nathan Kutz
+ PDF Chat Discovery of Physics From Data: Universal Laws and Discrepancies 2020 Brian M. de Silva
David Higdon
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Poincaré maps for multiscale physics discovery and nonlinear Floquet theory 2020 Jason J. Bramburger
J. Nathan Kutz
+ Sensor Selection With Cost Constraints for Dynamically Relevant Bases 2020 Emily Clark
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Toward stable, general machine-learned models of the atmospheric chemical system 2020 Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
+ Toward stable, general machine-learned models of the atmospheric chemical system 2020 Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
+ Toward stable, general machine-learned models of the atmospheric chemical system 2020 Makoto Kelp
Daniel J. Jacob
J. Nathan Kutz
Julian Marshall
Christopher W. Tessum
+ PDF Chat Deep model predictive flow control with limited sensor data and online learning 2020 Katharina Bieker
Sebastian Peitz
Steven L. Brunton
J. Nathan Kutz
Michael Dellnitz
+ Nonlinear control in the nematode C. elegans 2020 Megan Morrison
Charles Fieseler
J. Nathan Kutz
+ PDF Chat Mode-locked rotating detonation waves: Experiments and a model equation 2020 James Koch
M. Kurosaka
C. Knowlen
J. Nathan Kutz
+ PDF Chat Sparse Principal Component Analysis via Variable Projection 2020 N. Benjamin Erichson
Peng Zheng
Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
+ PDF Chat Data-Driven Approximations of Dynamical Systems Operators for Control 2020 Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
+ Unsupervised learning of control signals and their encodings in $\textit{C. elegans}$ whole-brain recordings 2020 Charles Fieseler
Manuel Zimmer
J. Nathan Kutz
+ Multiresolution Convolutional Autoencoders 2020 Yuying Liu
Colin Ponce
Steven L. Brunton
J. Nathan Kutz
+ PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data 2020 Brian M. de Silva
Kathleen Champion
Markus Quade
Jean-Christophe Loiseau
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Time-Delay Observables for Koopman: Theory and Applications 2020 Mason Kamb
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
+ Deep reinforcement learning for optical systems: A case study of mode-locked lasers 2020 Chang Sun
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Multi-fidelity sensor selection: Greedy algorithms to place cheap and expensive sensors with cost constraints 2020 Emily Clark
Steven L. Brunton
J. Nathan Kutz
+ Machine Learning and Feature Engineering for Predicting Pulse Status during Chest Compressions 2020 Diya Sashidhar
Heemun Kwok
Jason Coult
Jen Blackwood
Peter Kudenchuck
Shiv Bhandari
Thomas D. Rea
J. Nathan Kutz
+ PDF Chat Centering Data Improves the Dynamic Mode Decomposition 2020 Seth M. Hirsh
Kameron Decker Harris
J. Nathan Kutz
Bingni W. Brunton
+ PDF Chat A Unified Sparse Optimization Framework to Learn Parsimonious Physics-Informed Models From Data 2020 Kathleen M. Champion
Peng Zheng
Aleksandr Y. Aravkin
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Numerical Differentiation of Noisy Data: A Unifying Multi-Objective Optimization Framework 2020 Floris van Breugel
J. Nathan Kutz
Bingni W. Brunton
+ Frequency Comb Generation at 800 nm in Waveguide Array Quantum Well Diode Lasers 2019 Chang Sun
Mark Dong
Niall M. Mangan
Herbert G. Winful
Steven T. Cundiff
J. Nathan Kutz
+ Stable numerical schemes for nonlinear dispersive equations with counter-propagation and gain dynamics 2019 Chang Sun
Niall M. Mangan
Mark Dong
Herbert G. Winful
Steven T. Cundiff
J. Nathan Kutz
+ PDF Chat Data-driven discovery of coordinates and governing equations 2019 Kathleen Champion
Bethany Lusch
J. Nathan Kutz
Steven L. Brunton
+ Shape Constrained Tensor Decompositions 2019 Bethany Lusch
C. Eric
J. Nathan Kutz
+ Learning Discrepancy Models From Experimental Data. 2019 Kadierdan Kaheman
Eurika Kaiser
Benjamin Strom
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Smoothing and parameter estimation by soft-adherence to governing equations 2019 Samuel Rudy
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Forecasting dengue fever in Brazil: An assessment of climate conditions 2019 Lucas M. Stolerman
Pedro D. Maia
J. Nathan Kutz
+ PDF Chat Deep learning of dynamics and signal-noise decomposition with time-stepping constraints 2019 Samuel Rudy
J. Nathan Kutz
Steven L. Brunton
+ A unified sparse optimization framework to learn parsimonious physics-informed models from data 2019 Kathleen Champion
Peng Zheng
Aleksandr Y. Aravkin
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Dynamic mode decomposition for multiscale nonlinear physics 2019 Daniel Dylewsky
Molei Tao
J. Nathan Kutz
+ Centering Data Improves the Dynamic Mode Decomposition 2019 Seth M. Hirsh
Kameron Decker Harris
J. Nathan Kutz
Bingni W. Brunton
+ PDF Chat Combining weather patterns and cycles of population susceptibility to forecast dengue fever epidemic years in Brazil: a dynamic, ensemble learning approach 2019 Sarah F. McGough
César Leonardo Clemente
J. Nathan Kutz
Mauricio Santillana
+ PDF Chat Putting a bug in ML: The moth olfactory network learns to read MNIST 2019 Charles B. Delahunt
J. Nathan Kutz
+ PDF Chat Deep Model Predictive Control with Online Learning for Complex Physical Systems. 2019 Katharina Bieker
Sebastian Peitz
Steven L. Brunton
J. Nathan Kutz
Michael Dellnitz
+ PDF Chat Engineering structural robustness in power grid networks susceptible to community desynchronization 2019 Daniel Dylewsky
Xiu Yang
Alexandre M. Tartakovsky
J. Nathan Kutz
+ Dynamic Mode Decomposition for Compressive System Identification 2019 Zhe Bai
Eurika Kaiser
Joshua L. Proctor
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Model selection for hybrid dynamical systems via sparse regression 2019 Niall M. Mangan
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Joshua L. Proctor
+ Linear Control Theory 2019 Steven L. Brunton
J. Nathan Kutz
+ Reduced Order Models (ROMs) 2019 Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Randomized model order reduction 2019 Alessandro Alla
J. Nathan Kutz
+ PDF Chat Randomized Matrix Decompositions Using <i>R</i> 2019 N. Benjamin Erichson
Sergey Voronin
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings 2019 Kathleen Champion
Steven L. Brunton
J. Nathan Kutz
+ Money on the Table: Statistical information ignored by Softmax can improve classifier accuracy 2019 Charles B. Delahunt
Courosh Mehanian
J. Nathan Kutz
+ Dynamic Mode Decomposition and Sparse Measurements for Characterization and Monitoring of Power System Disturbances 2019 Juan Ramos
J. Nathan Kutz
+ PDF Chat Data-Driven Identification of Parametric Partial Differential Equations 2019 Samuel Rudy
Alessandro Alla
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Optimized Sampling for Multiscale Dynamics 2019 Krithika Manohar
Eurika Kaiser
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Biological Mechanisms for Learning: A Computational Model of Olfactory Learning in the Manduca sexta Moth, With Applications to Neural Nets 2018 Charles B. Delahunt
Jeffrey A. Riffell
J. Nathan Kutz
+ PDF Chat Greedy Sensor Placement With Cost Constraints 2018 Emily Clark
Travis Askham
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Feedback through graph motifs relates structure and function in complex networks 2018 Yu Hu
Steven L. Brunton
Nicholas Cain
Ştefan Mihalaş
J. Nathan Kutz
Eric Shea‐Brown
+ PDF Chat A Unified Framework for Sparse Relaxed Regularized Regression: SR3 2018 Peng Zheng
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
+ Optimal Sensor and Actuator Placement using Balanced Model Reduction. 2018 Krithika Manohar
J. Nathan Kutz
Steven L. Brunton
+ Optimal Sensor and Actuator Selection using Balanced Model Reduction 2018 Krithika Manohar
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Discovering Conservation Laws from Data for Control 2018 Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Deep learning for universal linear embeddings of nonlinear dynamics 2018 Bethany Lusch
J. Nathan Kutz
Steven L. Brunton
+ Discovering conservation laws from data for control 2018 Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Sparse identification of nonlinear dynamics for model predictive control in the low-data limit 2018 Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
+ Insect cyborgs: Biological feature generators improve machine learning accuracy on limited data. 2018 Charles B. Delahunt
J. Nathan Kutz
+ Built to Last: Functional and structural mechanisms in the moth olfactory network mitigate effects of neural injury 2018 Charles B. Delahunt
Pedro D. Maia
J. Nathan Kutz
+ Deterministic generation of single soliton Kerr frequency comb in microresonators by a single shot pulsed trigger 2018 Zhe Kang
Feng Li
Jinhui Yuan
K. Nakkeeran
J. Nathan Kutz
Qiang Wu
Chongxiu Yu
P. K. A. Wai
+ Data-driven Spatiotemporal Modal Decomposition for Time Frequency Analysis 2018 Seth M. Hirsh
Bingni W. Brunton
J. Nathan Kutz
+ Data-driven identification of parametric partial differential equations 2018 Samuel Rudy
Alessandro Alla
Steven L. Brunton
J. Nathan Kutz
+ Sparse identification of nonlinear dynamics for rapid model recovery 2018 Markus Quade
Markus Abel
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns 2018 Krithika Manohar
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
+ Stability and dynamics of microring combs: elliptic function solutions of the Lugiato–Lefever equation 2018 Chang Sun
Travis Askham
J. Nathan Kutz
+ Greedy Sensor Placement with Cost Constraints 2018 Emily Clark
Travis Askham
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Dynamic mode decomposition for plasma diagnostics and validation 2018 R. J. Taylor
J. Nathan Kutz
Kyle Morgan
B. A. Nelson
+ Predicting shim gaps in aircraft assembly with machine learning and sparse sensing 2018 Krithika Manohar
Thomas A. Hogan
Jim Buttrick
Ashis G. Banerjee
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Modeling cognitive deficits following neurodegenerative diseases and traumatic brain injuries with deep convolutional neural networks 2018 Bethany Lusch
Jake Weholt
Pedro D. Maia
J. Nathan Kutz
+ Deep learning and model predictive control for self-tuning mode-locked lasers 2018 Thomas Baumeister
Steven L. Brunton
J. Nathan Kutz
+ Putting a bug in ML: The moth olfactory network learns to read MNIST 2018 Charles B. Delahunt
J. Nathan Kutz
+ Biological Mechanisms for Learning: A Computational Model of Olfactory Learning in the Manduca sexta Moth, with Applications to Neural Nets 2018 Charles B. Delahunt
Jeffrey A. Riffell
J. Nathan Kutz
+ Randomized nonnegative matrix factorization 2018 N. Benjamin Erichson
Ariana Mendible
Sophie Wihlborn
J. Nathan Kutz
+ PDF Chat Online Interpolation Point Refinement for Reduced-Order Models using a Genetic Algorithm 2018 Syuzanna Sargsyan
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Variable Projection Methods for an Optimized Dynamic Mode Decomposition 2018 Travis Askham
J. Nathan Kutz
+ Diffusion Maps meet Nyström 2018 N. Benjamin Erichson
Lionel Mathelin
Steven L. Brunton
J. Nathan Kutz
+ A Unified Framework for Sparse Relaxed Regularized Regression: SR3 2018 Peng Zheng
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
+ PDF Chat Applied Koopman Theory for Partial Differential Equations and Data-Driven Modeling of Spatio-Temporal Systems 2018 J. Nathan Kutz
Joshua L. Proctor
Steven L. Brunton
+ PDF Chat Generalizing Koopman Theory to Allow for Inputs and Control 2018 Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
+ Insect cyborgs: Bio-mimetic feature generators improve machine learning accuracy on limited data 2018 Charles B. Delahunt
J. Nathan Kutz
+ Robust and scalable methods for the dynamic mode decomposition 2017 Travis Askham
Peng Zheng
Aleksandr Y. Aravkin
J. Nathan Kutz
+ Sparsity enabled cluster reduced-order models for control 2017 Eurika Kaiser
Marek Morzyński
Guillaume Daviller
J. Nathan Kutz
Bingni W. Brunton
Steven L. Brunton
+ PDF Chat Traveling Wave Model for Frequency Comb Generation in Single-Section Quantum Well Diode Lasers 2017 Mark Dong
Niall M. Mangan
J. Nathan Kutz
Steven T. Cundiff
Herbert G. Winful
+ Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations 2017 Xing Fu
J. Nathan Kutz
+ PDF Chat Model selection for dynamical systems via sparse regression and information criteria 2017 Niall M. Mangan
J. Nathan Kutz
Steven L. Brunton
Joshua L. Proctor
+ The control structure of the nematode Caenorhabditis elegans: neuro-sensory integration and propioceptive feedback 2017 Charles Fieseler
James Kunert-Graf
J. Nathan Kutz
+ PDF Chat Chaos as an intermittently forced linear system 2017 Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
Eurika Kaiser
J. Nathan Kutz
+ PDF Chat Data-driven discovery of partial differential equations 2017 Samuel Rudy
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ Variable projection methods for an optimized dynamic mode decomposition 2017 Travis Askham
J. Nathan Kutz
+ Randomized CP Tensor Decomposition 2017 N. Benjamin Erichson
Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Environment identification in flight using sparse approximation of wing strain 2017 Krithika Manohar
Steven L. Brunton
J. Nathan Kutz
+ Data-Driven Sparse Sensor Placement. 2017 Krithika Manohar
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
+ Data-Driven Forecast of Dengue Outbreaks in Brazil: A Critical Assessment of Climate Conditions for Different Capitals 2017 Lucas M. Stolerman
Pedro D. Maia
J. Nathan Kutz
+ Eckhaus Instability in the Fourier-Domain Mode Locked Fiber Laser Cavity 2017 Feng Li
K. Nakkeeran
J. Nathan Kutz
Jinhui Yuan
Zhe Kang
Xianting Zhang
P. K. A. Wai
+ PDF Chat Nonlinear Model Order Reduction via Dynamic Mode Decomposition 2017 Alessandro Alla
J. Nathan Kutz
+ Streaming GPU Singular Value and Dynamic Mode Decompositions 2016 Seth D. Pendergrass
J. Nathan Kutz
Steven L. Brunton
+ PDF Chat Compressed dynamic mode decomposition for background modeling 2016 N. Benjamin Erichson
Steven L. Brunton
J. Nathan Kutz
+ Chapter 11: Epidemiology 2016 J. Nathan Kutz
Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
+ Randomized Model Order Reduction 2016 Alessandro Alla
J. Nathan Kutz
+ Online interpolation point refinement for reduced order models using a genetic algorithm 2016 Syuzanna Sargsyan
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics 2016 Niall M. Mangan
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ Inferring biological networks by sparse identification of nonlinear dynamics 2016 Niall M. Mangan
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ PDF Chat Dynamic mode decomposition for financial trading strategies 2016 Jordan Mann
J. Nathan Kutz
+ Discovering governing equations from data by sparse identification of nonlinear dynamical systems 2016 Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ PDF Chat Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control 2016 Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ Nonlinear model order reduction via Dynamic Mode Decomposition 2016 Alessandro Alla
J. Nathan Kutz
+ Symmetries constrain dynamics in a family of balanced neural networks 2016 Andrea K. Barreiro
J. Nathan Kutz
Eli Shlizerman
+ PDF Chat Dynamic Mode Decomposition with Control 2016 Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Classification of Spatiotemporal Data via Asynchronous Sparse Sampling: Application to Flow around a Cylinder 2016 Ido Bright
Guang Lin
J. Nathan Kutz
+ PDF Chat Multiresolution Dynamic Mode Decomposition 2016 J. Nathan Kutz
Xing Fu
Steven L. Brunton
+ Koopman Theory for Partial Differential Equations 2016 J. Nathan Kutz
Joshua L. Proctor
Steven L. Brunton
+ Shape Constrained Tensor Decompositions using Sparse Representations in Over-Complete Libraries 2016 Bethany Lusch
C. Eric
J. Nathan Kutz
+ Reaction time impairments in decision-making networks as a diagnostic marker for traumatic brain injuries and neurodegenerative diseases 2016 Pedro D. Maia
J. Nathan Kutz
+ Associative Memory Impairments arising from Neurodegenerative Diseases and Traumatic Brain Injuries in a Hopfield Network Model 2016 M. Weber
Pedro D. Maia
J. Nathan Kutz
+ Compressed Dynamic Mode Decomposition for Real-Time Object Detection 2015 N. Benjamin Erichson
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition 2015 Bingni W. Brunton
Lise A. Johnson
Jeffrey G. Ojemann
J. Nathan Kutz
+ PDF Chat Nonlinear model reduction for dynamical systems using sparse sensor locations from learned libraries 2015 Syuzanna Sargsyan
Steven L. Brunton
J. Nathan Kutz
+ The role of multistability and transient trajectories in networked dynamical systems: Connectomic dynamics of C. elegans and behavioral assays 2015 James Kunert
Eli Shlizerman
Andrew A. Walker
J. Nathan Kutz
+ Dynamic Mode Decomposition for Financial Trading Strategies 2015 Jordan Mann
J. Nathan Kutz
+ Multi-Resolution Dynamic Mode Decomposition 2015 J. Nathan Kutz
Xing Fu
Steven L. Brunton
+ PDF Chat Sidelobe Canceling for Reconfigurable Holographic Metamaterial Antenna 2015 Mikala C. Johnson
Steven L. Brunton
Nathan Kundtz
J. Nathan Kutz
+ Classification of Spatio-Temporal Data via Asynchronous Sparse Sampling: Application to Flow Around a Cylinder 2015 Ido Bright
Guang Lin
J. Nathan Kutz
+ PDF Chat A Reaction-Diffusion Model of Cholinergic Retinal Waves 2014 Benjamin Lansdell
Kevin Ford
J. Nathan Kutz
+ Modeling disease transmission near eradication: An equation free approach 2014 Matthew O. Williams
Joshua L. Proctor
J. Nathan Kutz
+ Dynamic mode decomposition with control 2014 Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Spectral analysis of fluid flows using sub-Nyquist-rate PIV data 2014 Jonathan H. Tu
Clarence W. Rowley
J. Nathan Kutz
Jessica K. Shang
+ PDF Chat Data-driven inference of network connectivity for modeling the dynamics of neural codes in the insect antennal lobe 2014 Eli Shlizerman
Jeffrey A. Riffell
J. Nathan Kutz
+ PDF Chat 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 2014 James Kunert
Eli Shlizerman
J. Nathan Kutz
+ PDF Chat Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems 2014 Steven L. Brunton
Jonathan H. Tu
Ido Bright
J. Nathan Kutz
+ Mode-Locked Chip Laser using Waveguide Arrays 2014 Xiao Zhang
Matthew O. Williams
Steven T. Cundiff
J. Nathan Kutz
+ On dynamic mode decomposition: Theory and applications 2014 Jonathan H. Tu
Clarence W. Rowley
Dirk M. Luchtenburg
Steven L. Brunton
J. Nathan Kutz
+ PDF Chat Data-driven modeling of the olfactory neural codes and their dynamics in the insect antennal lobe 2013 Eli Shlizerman
Jeffrey A. Riffell
J. Nathan Kutz
+ Compressive sampling and dynamic mode decomposition 2013 Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ Optimal Sensor Placement and Enhanced Sparsity for Classification 2013 Bingni W. Brunton
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
+ Spatial distribution clamping of discrete spatial solitons due to three photon absorption in AlGaAs waveguide arrays 2012 Darren D. Hudson
J. Nathan Kutz
T. R. Schibli
Demetrios N. Christodoulides
Roberto Morandotti
Steven T. Cundiff
+ PDF Chat Atomic interactions in precision interferometry using Bose-Einstein condensates 2011 Alan O. Jamison
J. Nathan Kutz
Subhadeep Gupta
+ Analytic theory of parabolic pulses in dissipative systems with rapidly varying mean-zero dispersion 2009 Brandon G. Bale
J. Nathan Kutz
+ PDF Chat Nonlinear femtosecond pulse reshaping in waveguide arrays 2008 Darren D. Hudson
Kimberlee H. Shish
T. R. Schibli
J. Nathan Kutz
Demetrios N. Christodoulides
Roberto Morandotti
Steven T. Cundiff
+ PDF Chat SpectrUW: A laboratory for the numerical exploration of spectra of linear operators 2006 Bernard Deconinck
Firat Kiyak
John D. Carter
J. Nathan Kutz
+ Computing spectra of linear operators using the Floquet–Fourier–Hill method 2006 Bernard Deconinck
J. Nathan Kutz
+ PDF Chat Exact nonstationary solutions to the mean-field equations of motion for two-component Bose–Einstein condensates in periodic potentials 2005 R. Mark Bradley
Bernard Deconinck
J. Nathan Kutz
+ PDF Chat Singular instability of exact stationary solutions of the non-local Gross–Pitaevskii equation 2003 Bernard Deconinck
J. Nathan Kutz
+ PDF Chat Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the nonlinear Schrödinger equation 2002 Khan W. Mahmud
J. Nathan Kutz
William P. Reinhardt
+ PDF Chat Stability of attractive Bose-Einstein condensates in a periodic potential 2001 Jared C. Bronski
Lincoln D. Carr
R. Carretero-González
Bernard Deconinck
J. Nathan Kutz
Keith Promislow
+ Dynamics and Stability of Bose-Einstein Condensates: the Nonlinear Schrodinger Equation with Periodic Potential 2001 Bernard Deconinck
Béla A. Frigyik
J. Nathan Kutz
+ PDF Chat Stability of stationary states in the cubic nonlinear Schrödinger equation: Applications to the Bose-Einstein condensate 2001 Lincoln D. Carr
J. Nathan Kutz
William P. Reinhardt
+ PDF Chat Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions 2001 Bernard Deconinck
Béla A. Frigyik
J. Nathan Kutz
+ PDF Chat Stability of repulsive Bose-Einstein condensates in a periodic potential 2001 Jared C. Bronski
Lincoln D. Carr
Bernard Deconinck
J. Nathan Kutz
Keith Promislow
+ PDF Chat Bose-Einstein Condensates in Standing Waves: The Cubic Nonlinear Schrödinger Equation with a Periodic Potential 2001 Jared C. Bronski
Lincoln D. Carr
Bernard Deconinck
J. Nathan Kutz
+ Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator 2000 Keith Promislow
J. Nathan Kutz
+ Dynamics and Bifurcations of a Planar Map Modeling Dispersion Managed Breathers 1999 J. Nathan Kutz
Philip Holmes
+ Global existence and uniqueness for an optical fibre laser model 1998 Alexander Mielke
Philip Holmes
J. Nathan Kutz
+ PDF Chat Noise-induced amplitude and chirp jitter in dispersion-managed soliton communications 1998 J. Nathan Kutz
P. K. A. Wai
+ Modulational stability of plane waves in nonreturn-to-zero communications systems with dispersion management 1996 Jared C. Bronski
J. Nathan Kutz
+ Long-distance pulse propagation in nonlinear optical fibers by using periodically spaced parametric amplifiers 1993 J. Nathan Kutz
William L. Kath
Ruo-Ding Li
Prem Kumar
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Discovering governing equations from data by sparse identification of nonlinear dynamical systems 2016 Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
74
+ On dynamic mode decomposition: Theory and applications 2014 Jonathan H. Tu
Clarence W. Rowley
Dirk M. Luchtenburg
Steven L. Brunton
J. Nathan Kutz
69
+ PDF Chat The Optimal Hard Threshold for Singular Values is &lt;inline-formula&gt; &lt;tex-math notation="TeX"&gt;\(4/\sqrt {3}\) &lt;/tex-math&gt;&lt;/inline-formula&gt; 2014 Matan Gavish
David L. Donoho
39
+ PDF Chat Data-driven discovery of partial differential equations 2017 Samuel Rudy
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
38
+ PDF Chat Variable Projection Methods for an Optimized Dynamic Mode Decomposition 2018 Travis Askham
J. Nathan Kutz
36
+ PDF Chat Chaos as an intermittently forced linear system 2017 Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
Eurika Kaiser
J. Nathan Kutz
34
+ PDF Chat Dynamic Mode Decomposition with Control 2016 Joshua L. Proctor
Steven L. Brunton
J. Nathan Kutz
33
+ PDF Chat Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition 2015 Bingni W. Brunton
Lise A. Johnson
Jeffrey G. Ojemann
J. Nathan Kutz
32
+ PDF Chat Nonlinear Model Reduction via Discrete Empirical Interpolation 2010 Saifon Chaturantabut
Danny C. Sorensen
30
+ PDF Chat Data-driven discovery of coordinates and governing equations 2019 Kathleen Champion
Bethany Lusch
J. Nathan Kutz
Steven L. Brunton
30
+ PDF Chat Sparsity-promoting dynamic mode decomposition 2014 Mihailo R. Jovanović
Peter J. Schmid
Joseph W. Nichols
30
+ PDF Chat A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions 2016 Zlatko Drmač
Serkan Gugercin
29
+ PDF Chat Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information 2006 Emmanuel J. Candès
Justin Romberg
Terence Tao
28
+ PDF Chat Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions 2011 Nathan Halko
Per‐Gunnar Martinsson
Joel A. Tropp
28
+ PDF Chat Sparse identification of nonlinear dynamics for model predictive control in the low-data limit 2018 Eurika Kaiser
J. Nathan Kutz
Steven L. Brunton
28
+ PDF Chat Multiresolution Dynamic Mode Decomposition 2016 J. Nathan Kutz
Xing Fu
Steven L. Brunton
28
+ Regression Shrinkage and Selection Via the Lasso 1996 Robert Tibshirani
27
+ PDF Chat Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics 2016 Niall M. Mangan
Steven L. Brunton
Joshua L. Proctor
J. Nathan Kutz
27
+ A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition 2015 Matthew O. Williams
Ioannis G. Kevrekidis
Clarence W. Rowley
26
+ PDF Chat VAMPnets for deep learning of molecular kinetics 2017 Andreas Mardt
Luca Pasquali
Hao Wu
Frank Noé
26
+ PDF Chat Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns 2018 Krithika Manohar
Bingni W. Brunton
J. Nathan Kutz
Steven L. Brunton
26
+ PDF Chat Applied Koopmanism 2012 Marko Budišić
Ryan Mohr
Igor Mezić
25
+ PDF Chat Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems 2014 Steven L. Brunton
Jonathan H. Tu
Ido Bright
J. Nathan Kutz
25
+ PDF Chat Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control 2016 Steven L. Brunton
Bingni W. Brunton
Joshua L. Proctor
J. Nathan Kutz
24
+ PDF Chat Robust principal component analysis? 2011 Emmanuel J. Candès
Xiaodong Li
Yi Ma
John Wright
24
+ PDF Chat Deep learning for universal linear embeddings of nonlinear dynamics 2018 Bethany Lusch
J. Nathan Kutz
Steven L. Brunton
24
+ Compressed sensing 2006 David L. Donoho
23
+ PDF Chat Learning partial differential equations via data discovery and sparse optimization 2017 Hayden Schaeffer
22
+ Sparse dynamics for partial differential equations 2013 Hayden Schaeffer
Russel E. Caflisch
Cory D. Hauck
Stanley Osher
21
+ PDF Chat Time-lagged autoencoders: Deep learning of slow collective variables for molecular kinetics 2018 Christoph Wehmeyer
Frank Noé
21
+ PDF Chat Exact Recovery of Chaotic Systems from Highly Corrupted Data 2017 Giang Tran
Rachel Ward
20
+ PDF Chat Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition 2016 Scott T. M. Dawson
Maziar S. Hemati
Matthew O. Williams
Clarence W. Rowley
20
+ Compressive Sensing [Lecture Notes] 2007 Richard G. Baraniuk
20
+ PDF Chat Randomized Matrix Decompositions Using <i>R</i> 2019 N. Benjamin Erichson
Sergey Voronin
Steven L. Brunton
J. Nathan Kutz
20
+ PDF Chat Stable signal recovery from incomplete and inaccurate measurements 2006 Emmanuel J. Candès
Justin Romberg
Terence Tao
19
+ PDF Chat A Unified Framework for Sparse Relaxed Regularized Regression: SR3 2018 Peng Zheng
Travis Askham
Steven L. Brunton
J. Nathan Kutz
Aleksandr Y. Aravkin
19
+ Detecting strange attractors in turbulence 1981 Floris Takens
19
+ PDF Chat Model selection for dynamical systems via sparse regression and information criteria 2017 Niall M. Mangan
J. Nathan Kutz
Steven L. Brunton
Joshua L. Proctor
18
+ Modal Analysis of Fluid Flows: An Overview 2017 Kunihiko Taira
Steven L. Brunton
Scott T. M. Dawson
Clarence W. Rowley
Tim Colonius
Beverley McKeon
Oliver T. Schmidt
Stanislav Gordeyev
Vassilios Theofilis
Lawrence Ukeiley
18
+ PDF Chat De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets 2017 Maziar S. Hemati
Clarence W. Rowley
Eric A. Deem
Louis N. Cattafesta
18
+ PDF Chat Deterministic Nonperiodic Flow 1963 Edward N. Lorenz
17
+ PDF Chat Sparse reduced-order modelling: sensor-based dynamics to full-state estimation 2018 Jean-Christophe Loiseau
Bernd R. Noack
Steven L. Brunton
17
+ PDF Chat Cluster-based reduced-order modelling of a mixing layer 2014 Eurika Kaiser
Bernd R. Noack
Laurent Cordier
Andreas Spohn
Marc Segond
Markus Abel
Guillaume Daviller
Jan Östh
Siniša Krajnović
Robert K. Niven
17
+ PDF Chat Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator 2017 Hassan Arbabi
Igor Mezić
16
+ PDF Chat Predicting Catastrophes in Nonlinear Dynamical Systems by Compressive Sensing 2011 Wen-Xu Wang
Rui Yang
Ying‐Cheng Lai
Vassilios Kovanis
Celso Grebogi
16
+ PDF Chat Numerical Differentiation of Noisy, Nonsmooth Data 2011 Rick Chartrand
16
+ PDF Chat Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? 2006 Emmanuel J. Candès
Terence Tao
16
+ PDF Chat Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control 2018 Milan Korda
Igor Mezić
16
+ PDF Chat Spectral analysis of fluid flows using sub-Nyquist-rate PIV data 2014 Jonathan H. Tu
Clarence W. Rowley
J. Nathan Kutz
Jessica K. Shang
16
+ PDF Chat LIII. <i>On lines and planes of closest fit to systems of points in space</i> 1901 Karl Pearson
14