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Juan-Pablo Ortega
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Cited by
Year
Momentum maps and Hamiltonian reduction
JP Ortega, TS Ratiu
Springer Science & Business Media, 2013
5912013
Hamiltonian reduction by stages
JE Marsden, G Misiolek, JP Ortega, M Perlmutter, TS Ratiu
Springer, 2007
3252007
Echo state networks are universal
L Grigoryeva, JP Ortega
Neural Networks 108, 495-508, 2018
2382018
Reservoir computing universality with stochastic inputs
L Gonon, JP Ortega
IEEE transactions on neural networks and learning systems 31 (1), 100-112, 2019
1152019
Stochastic Hamiltonian dynamical systems
JA Lázaro-Camí, JP Ortega
arXiv preprint math/0702787, 2007
1102007
Dynamics on Leibniz manifolds
JP Ortega, V Planas-Bielsa
Journal of Geometry and Physics 52 (1), 1-27, 2004
942004
Symmetry, reduction and stability in Hamiltonian systems
JP Ortega
Ph D Thesis, University of California, 1998
891998
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
832023
Stability of Hamiltonian relative equilibria
JP Ortega, TS Ratiu
Nonlinearity 12 (3), 693, 1999
821999
Singular reduction of Poisson manifolds
JP Ortega, TS Ratiu
Letters in Mathematical Physics 46, 359-372, 1998
631998
The momentum map in Poisson geometry
RL Fernandes, JP Ortega, TS Ratiu
American journal of mathematics 131 (5), 1261-1310, 2009
602009
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
592018
Fading memory echo state networks are universal
L Gonon, JP Ortega
Neural Networks 138, 10-13, 2021
582021
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
582019
Optimal nonlinear information processing capacity in delay-based reservoir computers
L Grigoryeva, J Henriques, L Larger, JP Ortega
Scientific reports 5 (1), 12858, 2015
562015
Forecasting growth during the Great Recession: is financial volatility the missing ingredient?
L Ferrara, C Marsilli, JP Ortega
Economic Modelling 36, 44-50, 2014
542014
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
481999
Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations
JA Lázaro-Camí, JP Ortega
Stochastics and Dynamics 9 (01), 1-46, 2009
45*2009
Discrete-time signatures and randomness in reservoir computing
C Cuchiero, L Gonon, L Grigoryeva, JP Ortega, J Teichmann
IEEE Transactions on Neural Networks and Learning Systems 33 (11), 6321-6330, 2021
432021
Risk bounds for reservoir computing
L Gonon, L Grigoryeva, JP Ortega
Journal of Machine Learning Research 21 (240), 1-61, 2020
422020
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Articles 1–20