94 citations · 785 across the 34 of their papers we have counts for
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Gradient-free training of neural ODEs for system identification and control using ensemble Kalman inversion
Lucas Böttcher
Ensemble Kalman inversion (EKI) is a sequential Monte Carlo method used to solve inverse problems within a Bayesian framework. Unlike backpropagation, EKI is a gradient-free optimi…
Visualizing high-dimensional loss landscapes with Hessian directions
Lucas Böttcher, Gregory Wheeler
Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide…
Near-optimal control of dynamical systems with neural ordinary differential equations
Lucas Böttcher, Thomas Asikis
Optimal control problems naturally arise in many scientific applications where one wishes to steer a dynamical system from a certain initial state to a desired targe…
Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems
Mingtao Xia, Lucas Böttcher, Tom Chou
Solving analytically intractable partial differential equations (PDEs) that involve at least one variable defined on an unbounded domain arises in numerous physical applications. A…
Control of Dual-Sourcing Inventory Systems using Recurrent Neural Networks
Lucas Böttcher, Thomas Asikis, Ioannis Fragkos
A key challenge in inventory management is to identify policies that optimally replenish inventory from multiple suppliers. To solve such optimization problems, inventory managers…
Implicit energy regularization of neural ordinary-differential-equation control
Lucas Böttcher, Nino Antulov-Fantulin, Thomas Asikis
Although optimal control problems of dynamical systems can be formulated within the framework of variational calculus, their solution for complex systems is often analytically and…
Neural Ordinary Differential Equation Control of Dynamics on Graphs
Thomas Asikis, Lucas Böttcher, Nino Antulov-Fantulin
We study the ability of neural networks to calculate feedback control signals that steer trajectories of continuous time non-linear dynamical systems on graphs, which we represent…