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Juan-Pablo Ortega
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Year
Momentum maps and Hamiltonian reduction
JP Ortega, TS Ratiu
Springer Science & Business Media, 2013
5822013
Hamiltonian reduction by stages
JE Marsden, G Misiolek, JP Ortega, M Perlmutter, TS Ratiu
Springer, 2007
3162007
Echo state networks are universal
L Grigoryeva, JP Ortega
Neural Networks 108, 495-508, 2018
2162018
Stochastic Hamiltonian dynamical systems
JA Lázaro-Camí, JP Ortega
arXiv preprint math/0702787, 2007
1092007
Reservoir computing universality with stochastic inputs
L Gonon, JP Ortega
IEEE transactions on neural networks and learning systems 31 (1), 100-112, 2019
1062019
Dynamics on Leibniz manifolds
JP Ortega, V Planas-Bielsa
Journal of Geometry and Physics 52 (1), 1-27, 2004
932004
Symmetry, reduction and stability in Hamiltonian systems
JP Ortega
Ph D Thesis, University of California, 1998
881998
Stability of Hamiltonian relative equilibria
JP Ortega, TS Ratiu
Nonlinearity 12 (3), 693, 1999
791999
Approximation bounds for random neural networks and reservoir systems
L Gonon, L Grigoryeva, JP Ortega
The Annals of Applied Probability 33 (1), 28-69, 2023
672023
Singular reduction of Poisson manifolds
JP Ortega, TS Ratiu
Letters in Mathematical Physics 46, 359-372, 1998
611998
The momentum map in Poisson geometry
RL Fernandes, JP Ortega, TS Ratiu
American journal of mathematics 131 (5), 1261-1310, 2009
592009
Fading memory echo state networks are universal
L Gonon, JP Ortega
Neural Networks 138, 10-13, 2021
532021
Predicting US bank failures with MIDAS logit models
F Audrino, A Kostrov, JP Ortega
Journal of Financial and Quantitative Analysis 54 (6), 2575-2603, 2019
532019
Universal discrete-time reservoir computers with stochastic inputs and linear readouts using non-homogeneous state-affine systems
L Grigoryeva, JP Ortega
Journal of Machine Learning Research 19 (24), 1-40, 2018
522018
Optimal nonlinear information processing capacity in delay-based reservoir computers
L Grigoryeva, J Henriques, L Larger, JP Ortega
Scientific reports 5 (1), 12858, 2015
522015
Forecasting growth during the Great Recession: is financial volatility the missing ingredient?
L Ferrara, C Marsilli, JP Ortega
Economic Modelling 36, 44-50, 2014
522014
Non-linear stability of singular relative periodic orbits in Hamiltonian systems with symmetry
JP Ortega, TS Ratiu
Journal of Geometry and Physics 32 (2), 160-188, 1999
491999
Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations
JA Lázaro-Camí, JP Ortega
Stochastics and Dynamics 9 (01), 1-46, 2009
46*2009
Stochastic nonlinear time series forecasting using time-delay reservoir computers: Performance and universality
L Grigoryeva, J Henriques, L Larger, JP Ortega
Neural Networks 55, 59-71, 2014
422014
Differentiable reservoir computing
L Grigoryeva, JP Ortega
Journal of Machine Learning Research 20 (179), 1-62, 2019
382019
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Articles 1–20