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Infinite-dimensional next-generation reservoir computing
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2024
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Lyudmila Grigoryeva
Hannah Lim Jing Ting
Juan‐Pablo Ortega
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Input-dependence in quantum reservoir computing
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2024
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Rodrigo Martínez‐Peña
Juan‐Pablo Ortega
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Data-driven cold starting of good reservoirs
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2024
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Lyudmila Grigoryeva
Boumediene Hamzi
Felix P. Kemeth
Yannis Kevrekidis
G. Manjunath
Juan‐Pablo Ortega
Matthys J. Steynberg
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Fading memory and the convolution theorem
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2024
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Juan‐Pablo Ortega
Florian Rossmannek
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Infinite-dimensional reservoir computing
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2024
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Forecasting causal dynamics with universal reservoirs
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2024
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Lyudmila Grigoryeva
James Louw
Juan‐Pablo Ortega
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State-Space Systems as Dynamic Generative Models
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2024
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Juan‐Pablo Ortega
Florian Rossmannek
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A Structure-Preserving Kernel Method for Learning Hamiltonian Systems
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2024
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Jianyu Hu
Juan‐Pablo Ortega
Daiying Yin
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Data-driven cold starting of good reservoirs
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2024
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Lyudmila Grigoryeva
Boumediene Hamzi
Felix P. Kemeth
Yannis Kevrekidis
G. Manjunath
Juan‐Pablo Ortega
Matthys J. Steynberg
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Infinite-Dimensional Reservoir Computing
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2024
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Invariant kernels on Riemannian symmetric spaces: a harmonic-analytic approach
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2023
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Salem Ben Saïd
Cyrus Mostajeran
Juan‐Pablo Ortega
Nathaël Da Costa
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Learning strange attractors with reservoir systems
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2023
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Lyudmila Grigoryeva
Allen Hart
Juan‐Pablo Ortega
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Transport in reservoir computing
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2023
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G. Manjunath
Juan‐Pablo Ortega
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Quantum reservoir computing in finite dimensions
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2023
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Rodrigo Martínez‐Peña
Juan‐Pablo Ortega
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Approximation bounds for random neural networks and reservoir systems
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2023
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle
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2023
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Nathaël Da Costa
Cyrus Mostajeran
Juan‐Pablo Ortega
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Expressiveness and Structure Preservation in Learning Port-Hamiltonian Systems
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2023
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Juan‐Pablo Ortega
Daiying Yin
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Learnability of Linear Port-Hamiltonian Systems
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2023
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Juan‐Pablo Ortega
Daiying Yin
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Infinite-dimensional reservoir computing
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2023
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Memory of recurrent networks: Do we compute it right?
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2023
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Giovanni Ballarin
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Expressiveness and Structure Preservation in Learning Port-Hamiltonian Systems
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2023
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Juan‐Pablo Ortega
Daiying Yin
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PDF
Chat
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The Gaussian Kernel on the Circle and Spaces that Admit Isometric Embeddings of the Circle
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2023
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Nathaël Da Costa
Cyrus Mostajeran
Juan‐Pablo Ortega
|
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Learning multi-modal generative models with permutation-invariant encoders and tighter variational bounds
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2023
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Marcel Hirt
Domenico Campolo
Victoria Leong
Juan‐Pablo Ortega
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Geometric Learning with Positively Decomposable Kernels
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2023
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Nathaël Da Costa
Cyrus Mostajeran
Juan‐Pablo Ortega
Salem Ben Saïd
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Invariant kernels on Riemannian symmetric spaces: a harmonic-analytic approach
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2023
|
Nathaël Da Costa
Cyrus Mostajeran
Juan‐Pablo Ortega
Salem Ben Saïd
|
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Transport in reservoir computing
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2022
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G Manjunath
Juan‐Pablo Ortega
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Reservoir Computing for Macroeconomic Forecasting with Mixed Frequency Data
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2022
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Giovanni Ballarin
Πέτρος Δελλαπόρτας
Lyudmila Grigoryeva
Marcel Hirt
Sophie van Huellen
Juan‐Pablo Ortega
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Quantum reservoir computing in finite dimensions
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2022
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Rodrigo Martínez‐Peña
Juan‐Pablo Ortega
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Reservoir kernels and Volterra series
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2022
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Chaos on compact manifolds: Differentiable synchronizations beyond the Takens theorem
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2021
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Lyudmila Grigoryeva
Allen Hart
Juan‐Pablo Ortega
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Fading memory echo state networks are universal
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2021
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Lukas Gonon
Juan‐Pablo Ortega
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Dimension reduction in recurrent networks by canonicalization
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2021
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Learning strange attractors with reservoir systems
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2021
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Lyudmila Grigoryeva
Allen Hart
Juan‐Pablo Ortega
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Fading memory echo state networks are universal
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2020
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Lukas Gonon
Juan‐Pablo Ortega
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Discrete-time signatures and randomness in reservoir computing
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2020
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Christa Cuchiero
Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
Josef Teichmann
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Memory and forecasting capacities of nonlinear recurrent networks
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2020
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Dimension reduction in recurrent networks by canonicalization
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2020
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Risk Bounds for Reservoir Computing
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2020
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Fading memory echo state networks are universal
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2020
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Lukas Gonon
Juan‐Pablo Ortega
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Discrete-time signatures and randomness in reservoir computing
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2020
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Christa Cuchiero
Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
Josef Teichmann
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Dimension reduction in recurrent networks by canonicalization
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2020
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Approximation Bounds for Random Neural Networks and Reservoir Systems
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2020
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
|
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Reservoir Computing Universality With Stochastic Inputs
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2019
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Lukas Gonon
Juan‐Pablo Ortega
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Differentiable reservoir computing
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2019
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Risk bounds for reservoir computing
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2019
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Lukas Gonon
Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Differentiable reservoir computing
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2019
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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+
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Differentiable reservoir computing
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2019
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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PDF
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Echo state networks are universal
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2018
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Reservoir Computing Universality With Stochastic Inputs
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2018
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Lukas Gonon
Juan‐Pablo Ortega
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PDF
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A Simple Formula for the Hilbert Metric with Respect to a Sub-Gaussian Cone
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2018
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Stéphane Chrétien
Juan‐Pablo Ortega
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Reservoir Computing Universality With Stochastic Inputs
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2018
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Lukas Gonon
Juan‐Pablo Ortega
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Echo state networks are universal
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2018
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems.
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2017
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems
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2017
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Singular ridge regression with homoscedastic residuals: generalization error with estimated parameters
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2016
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Nonlinear Memory Capacity of Parallel Time-Delay Reservoir Computers in the Processing of Multidimensional Signals
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2016
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Lyudmila Grigoryeva
Julie Henriques
Laurent Larger
Juan‐Pablo Ortega
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Singular Ridge Regression with Homoscedastic Residuals: Generalization Error with Estimated Parameters
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2016
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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PDF
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Hedging of Time Discrete Auto-Regressive Stochastic Volatility Options
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2016
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Alexandru Badescu
Joan del Castillo
Juan‐Pablo Ortega
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Singular ridge regression with homoscedastic residuals: generalization error with estimated parameters
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2016
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Forecasting, filtering, and reconstruction of stochastic stationary signals using discrete-time reservoir computers.
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2015
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Lyudmila Grigoryeva
Julie Henriques
Juan‐Pablo Ortega
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Quantitative evaluation of the performance of discrete-time reservoir computers in the forecasting, filtering, and reconstruction of stochastic stationary signals
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2015
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Lyudmila Grigoryeva
Julie Henriques
Juan‐Pablo Ortega
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Quantitative evaluation of the performance of discrete-time reservoir computers in the forecasting, filtering, and reconstruction of stochastic stationary signals
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2015
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Lyudmila Grigoryeva
Julie Henriques
Juan‐Pablo Ortega
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Nonlinear memory capacity of parallel time-delay reservoir computers in the processing of multidimensional signals
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2015
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Lyudmila Grigoryeva
Julie Henriques
Laurent Larger
Juan‐Pablo Ortega
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Optimal nonlinear information processing capacity in delay-based reservoir computers
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2014
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Lyudmila Grigoryeva
Julie Henriques
Laurent Larger
Juan‐Pablo Ortega
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Asymptotic Forecasting Error Evaluation for Estimated Temporally Aggregated Linear Processes
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2014
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
|
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Quadratic hedging schemes for non-Gaussian GARCH models
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2014
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Alexandru Badescu
Robert J. Elliott
Juan‐Pablo Ortega
|
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Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies
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2014
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
С. Зуб
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Optimal nonlinear information processing capacity in delay-based reservoir computers
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2014
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Lyudmila Grigoryeva
Julie Henriques
Laurent Larger
Juan‐Pablo Ortega
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Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies
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2013
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
С. Зуб
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On the Extended Girsanov Principle for GARCH Models and Their Diffusion Limits
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2013
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Alexandru Badescu
Robert J. Elliott
Juan‐Pablo Ortega
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Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies
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2013
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
С. Зуб
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Quadratic hedging schemes for non-Gaussian GARCH models
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2012
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Alexandru Badescu
Robert J. Elliott
Juan‐Pablo Ortega
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+
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Finite sample forecasting with estimated temporally aggregated linear processes
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2012
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
|
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PDF
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Hedging of Time Discrete Auto-Regressive Stochastic Volatility Options
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2012
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Alexandru Badescu
Joan del Castillo
Juan‐Pablo Ortega
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PDF
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Finite Sample Forecasting with Estimated Temporally Aggregated Linear Processes
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2012
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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Maximum Likelihood Estimation of State-Space Models
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2012
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Florian Chevassu
Juan‐Pablo Ortega
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PDF
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Multivariate GARCH Estimation via a Bregman-Proximal Trust-Region Method
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2012
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Stéphane Chrétien
Juan‐Pablo Ortega
|
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Quadratic hedging schemes for non-Gaussian GARCH models
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2012
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Alexandru Badescu
Robert J. Elliott
Juan‐Pablo Ortega
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+
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Finite sample forecasting with estimated temporally aggregated linear processes
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2012
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Lyudmila Grigoryeva
Juan‐Pablo Ortega
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+
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Hedging of time discrete auto-regressive stochastic volatility options
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2011
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Joan del Castillo
Juan‐Pablo Ortega
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PDF
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Preface
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2011
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Juan‐Pablo Ortega
|
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+
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Hedging of time discrete auto-regressive stochastic volatility options
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2011
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Joan del Castillo
Juan‐Pablo Ortega
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PDF
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GARCH options via local risk minimization
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2010
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Juan‐Pablo Ortega
|
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+
PDF
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Superposition rules and stochastic Lie–Scheffers systems
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2009
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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PDF
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The momentum map in Poisson geometry
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2009
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Rui Loja Fernandes
Juan‐Pablo Ortega
Tudor S. Raţiu
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A new approach for scenario generation in risk management
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2009
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Juan‐Pablo Ortega
Rainer Pullirsch
Josef Teichmann
Julian Wergieluk
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PDF
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REDUCTION, RECONSTRUCTION, AND SKEW-PRODUCT DECOMPOSITION OF SYMMETRIC STOCHASTIC DIFFERENTIAL EQUATIONS
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2009
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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Symplectic group actions and covering spaces
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2009
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James Montaldi
Juan‐Pablo Ortega
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PDF
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The stochastic Hamilton-Jacobi equation
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2009
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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A new approach for scenario generation in Risk management
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2009
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Juan‐Pablo Ortega
Rainer Pullirsch
Josef Teichmann
Julian Wergieluk
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GARCH options via local risk minimization
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2009
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Juan‐Pablo Ortega
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Notes on lifting group actions
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2008
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James Montaldi
Juan‐Pablo Ortega
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Openness and convexity for momentum maps
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2008
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Petre Birtea
Juan‐Pablo Ortega
Tudor S. Raţiu
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PDF
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Stochastic hamiltonian dynamical systems
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2008
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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The stochastic Hamilton-Jacobi equation
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2008
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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Superposition rules and stochastic Lie-Scheffers systems
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2008
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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A local-to-global principle for convexity in metric spaces
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2008
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Petre Birtea
Juan‐Pablo Ortega
Tudor S. Raţiu
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The universal covering and covered spaces of a symplectic Lie algebra action
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2007
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Cotangent Bundle Reduction
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2007
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Reduction and reconstruction of symmetric stochastic differential equations
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2007
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations
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2007
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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Hamiltonian Reduction by Stages
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2007
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Jerrold E. Marsden
Gerard Misiołek
Juan‐Pablo Ortega
Matthew Perlmutter
Tudor S. Raţiu
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Symplectic Group Actions and Covering Spaces
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2007
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James Montaldi
Juan‐Pablo Ortega
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The momentum map in Poisson geometry
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2007
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Rui Loja Fernandes
Juan‐Pablo Ortega
Tudor S. Raţiu
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+
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Stochastic Hamiltonian dynamical systems
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2007
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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+
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Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations
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2007
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Joan-Andreu Lázaro-Camí
Juan‐Pablo Ortega
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PDF
Chat
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The reduced spaces of a symplectic Lie group action
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2006
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Juan‐Pablo Ortega
Tudor S. Raţiu
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PDF
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The stratified spaces of a symplectic lie group action
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2006
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Juan‐Pablo Ortega
Tudor S. Raţiu
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The Optimal Momentum Map
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2006
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Metric convexity in the symplectic category
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2006
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Petre Birtea
Juan‐Pablo Ortega
Tudor S. Raţiu
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PDF
Chat
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Cotangent Bundle Reduction
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2006
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Juan‐Pablo Ortega
Tudor S. Raţiu
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+
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Symmetry and Symplectic Reduction
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2006
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Poisson reduction
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2005
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Symmetry and symplectic reduction
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2005
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Juan‐Pablo Ortega
Tudor S. Raţiu
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+
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Openness and convexity for momentum maps
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2005
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Petre Birtea
Juan‐Pablo Ortega
Tudor S. Raţiu
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+
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Poisson reduction
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2005
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Juan‐Pablo Ortega
Tudor S. Raţiu
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+
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Cotangent bundle reduction
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2005
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Asymptotic and Lyapunov stability of constrained and Poisson equilibria
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2004
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Juan‐Pablo Ortega
Vı́ctor Planas-Bielsa
Tudor S. Raţiu
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Symmetry Reduction in Symplectic and Poisson Geometry
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2004
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Juan‐Pablo Ortega
Judor S. Ratiu
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PDF
Chat
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Bifurcation and forced symmetry breaking in Hamiltonian systems
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2004
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Féthi Grabsi
James Montaldi
Juan‐Pablo Ortega
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PDF
Chat
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Dynamics on Leibniz manifolds
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2004
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Juan‐Pablo Ortega
Vı́ctor Planas-Bielsa
|
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Asymptotic and Lyapunov stability of Poisson equilibria
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2004
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Juan‐Pablo Ortega
Vı́ctor Planas-Bielsa
Tudor S. Raţiu
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PDF
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The relation between local and global dual pairs
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2004
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James Montaldi
Juan‐Pablo Ortega
Tudor S. Raţiu
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PDF
Chat
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The Symplectic Slice Theorem
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2004
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Optimal Reduction
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2004
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Singular Reduction and the Stratification Theorem
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2004
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Pseudogroups and Groupoids
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2004
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Generalizations of the Momentum Map
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2004
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Juan‐Pablo Ortega
Tudor S. Raţiu
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Bifurcation and forced symmetry breaking in Hamiltonian systems
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2003
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Féthi Grabsi
James Montaldi
Juan‐Pablo Ortega
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PDF
Chat
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Relative normal modes for nonlinear Hamiltonian systems
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2003
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Juan‐Pablo Ortega
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PDF
Chat
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Bifurcation of relative equilibria in mechanical systems with symmetry
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2003
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Pascal Chossat
Debra Lewis
Juan‐Pablo Ortega
Tudor S. Raţiu
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Singular dual pairs
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2003
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Juan‐Pablo Ortega
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SOME REMARKS ABOUT THE GEOMETRY OF HAMILTONIAN CONSERVATION LAWS
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2003
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Juan‐Pablo Ortega
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+
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The relation between local and global dual pairs
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2003
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James Montaldi
Juan‐Pablo Ortega
Tudor S. Raţiu
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Singular dual pairs
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2003
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Juan‐Pablo Ortega
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+
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Singular dual pairs
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2003
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Juan‐Pablo Ortega
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+
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Singular dual pairs
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2003
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Juan‐Pablo Ortega
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Bifurcation and forced symmetry breaking in Hamiltonian systems
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2003
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Féthi Grabsi
James Montaldi
Juan‐Pablo Ortega
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+
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Singular dual pairs
|
2003
|
Juan‐Pablo Ortega
|
|
+
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Singular dual pairs
|
2003
|
Juan‐Pablo Ortega
|
|
+
|
Singular dual pairs
|
2003
|
Juan‐Pablo Ortega
|
|
+
|
Singular dual pairs
|
2003
|
Juan‐Pablo Ortega
|
|
+
|
Singular dual pairs
|
2003
|
Juan‐Pablo Ortega
|
|
+
|
Optimal reduction
|
2002
|
Juan‐Pablo Ortega
|
|
+
|
Optimal reduction
|
2002
|
Juan‐Pablo Ortega
|
|
+
|
Optimal reduction
|
2002
|
Juan‐Pablo Ortega
|
|
+
PDF
Chat
|
Hamiltonian Hopf Bifurcation with Symmetry
|
2002
|
Pascal Chossat
Juan‐Pablo Ortega
Tudor S. Raţiu
|
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+
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The optimal momentum map
|
2002
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
|
+
|
Singular dual pairs
|
2002
|
Juan‐Pablo Ortega
|
|
+
PDF
Chat
|
None
|
2002
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
|
+
PDF
Chat
|
The symplectic reduced spaces of a Poisson action
|
2002
|
Juan‐Pablo Ortega
|
|
+
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The optimal momentum map
|
2002
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
|
+
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The optimal momentum map
|
2002
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
|
+
|
The optimal momentum map
|
2002
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
|
+
|
Optimal reduction
|
2002
|
Juan‐Pablo Ortega
|
|
+
|
Singular dual pairs
|
2002
|
Juan‐Pablo Ortega
|
|
+
|
The optimal momentum map
|
2002
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
|
+
|
The symplectic reduced spaces of a Poisson action
|
2002
|
Juan‐Pablo Ortega
|
|
+
|
CRITICAL POINT THEORY AND HAMILTONIAN DYNAMICS AROUND CRITICAL ELEMENTS
|
2001
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Juan‐Pablo Ortega
Tudor S. Raţiu
|
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+
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A symplectic slice theorem
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2001
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Juan‐Pablo Ortega
Tudor S. Raţiu
|
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+
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Relative normal modes for nonlinear Hamiltonian systems
|
2000
|
Juan‐Pablo Ortega
|
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+
PDF
Chat
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A Dirichlet criterion for the stability of periodic and relative periodic orbits in Hamiltonian systems
|
1999
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
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+
PDF
Chat
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Stability of Hamiltonian relative equilibria
|
1999
|
Juan‐Pablo Ortega
Tudor S. Raţiu
|
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+
PDF
Chat
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None
|
1998
|
Juan‐Pablo Ortega
Tudor S. Raţiu
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