3 citations · 6 across the 5 of their papers we have counts for
7 papers
Wasserstein Contraction of Stochastic Nonlinear Systems
Jake Bouvrie, Jean-Jacques Slotine
We suggest that the tools of contraction analysis for deterministic systems can be applied towards studying the convergence behavior of stochastic dynamical systems in the Wasserst…
Synchronization and Noise: A Mechanism for Regularization in Neural Systems
Jake Bouvrie, Jean-Jacques Slotine
To learn and reason in the presence of uncertainty, the brain must be capable of imposing some form of regularization. Here we suggest, through theoretical and computational argume…
Multiscale Markov Decision Problems: Compression, Solution, and Transfer Learning
Jake Bouvrie, Mauro Maggioni
Many problems in sequential decision making and stochastic control often have natural multiscale structure: sub-tasks are assembled together to accomplish complex goals. Systematic…
Kernel Methods for the Approximation of Some Key Quantities of Nonlinear Systems
Jake Bouvrie, Boumediene Hamzi
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on…
Kernel Methods for the Approximation of Nonlinear Systems
Jake Bouvrie, Boumediene Hamzi
We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method…
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Jake Bouvrie, Boumediene Hamzi
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The…
Synchronization and Redundancy: Implications for Robustness of Neural Learning and Decision Making
Jake Bouvrie, Jean-Jacques Slotine
Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose signifi…