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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
5492013
Hamiltonian reduction by stages
JE Marsden, G Misiolek, JP Ortega, M Perlmutter, TS Ratiu
Springer, 2007
3002007
Echo state networks are universal
L Grigoryeva, JP Ortega
Neural Networks 108, 495-508, 2018
1462018
Stochastic Hamiltonian dynamical systems
JA Lázaro-Camí, JP Ortega
arXiv preprint math/0702787, 2007
972007
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
871998
Stability of Hamiltonian relative equilibria
JP Ortega, TS Ratiu
Nonlinearity 12 (3), 693, 1999
811999
Singular reduction of Poisson manifolds
JP Ortega, TS Ratiu
Letters in Mathematical Physics 46 (4), 359-372, 1998
621998
Reservoir computing universality with stochastic inputs
L Gonon, JP Ortega
IEEE transactions on neural networks and learning systems 31 (1), 100-112, 2019
602019
The momentum map in Poisson geometry
RL Fernandes, JP Ortega, TS Ratiu
American journal of mathematics 131 (5), 1261-1310, 2009
552009
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
Forecasting growth during the Great Recession: is financial volatility the missing ingredient?
L Ferrara, C Marsilli, JP Ortega
Economic Modelling 36, 44-50, 2014
472014
Optimal nonlinear information processing capacity in delay-based reservoir computers
L Grigoryeva, J Henriques, L Larger, JP Ortega
Scientific reports 5 (1), 1-11, 2015
452015
Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations
JA Lazaro-Cami, JP Ortega
Stochastics and Dynamics 9 (01), 1-46, 2009
44*2009
The Symplectic Slice Theorem
JP Ortega, TS Ratiu
Momentum Maps and Hamiltonian Reduction, 271-300, 2004
372004
Approximation bounds for random neural networks and reservoir systems
L Gonon, L Grigoryeva, JP Ortega
arXiv preprint arXiv:2002.05933, 2020
352020
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, 1-40, 2018
332018
The optimal momentum map
JP Ortega, TS Ratiu
Geometry, mechanics, and dynamics, 329-362, 2002
332002
Differentiable reservoir computing.
L Grigoryeva, JP Ortega
J. Mach. Learn. Res. 20 (179), 1-62, 2019
312019
Persistence and smoothness of critical relative elements in Hamiltonian systems with symmetry
JP Ortega, TS Ratiu
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 325 (10 …, 1997
311997
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Articles 1–20