activity
20232026
most citedTime-inversion of spatiotemporal beam dynamics using uncertainty-aware latent evolution reversal

1 citations · 1 across the 13 of their papers we have counts for

collaborators

13 papers

math.OC2026

MPC and System Identification with Differentiable Physics: Fluid System and Particle Beam Control

Alan Williams, Alp Sunol

We consider the problem of simultaneous control and parameter estimation when the model is available only as a differentiable physics simulator. We propose a receding-horizon contr…

math.OC2026

Nested Extremum Seeking Converges to Stackelberg Equilibrium

Brad Ratto, Alan Williams, Miroslav Krstić +2

The nested Extremum Seeking (nES) algorithm is a model-free optimization method that has been shown to converge to a neighborhood of a Nash equilibrium. In this work, we demonstrat…

math.OC2025

Generalized Multi-Constraint Extremum Seeking

Alan Williams, Jorge Cortés, Alexander Scheinker

We generalize the Safe Extremum Seeking algorithm to address the minimization of an unknown objective function subject to multiple unknown inequality and equality constraints, rely…

cs.LG2025

Improved Robustness of Deep Reinforcement Learning for Control of Time-Varying Systems by Bounded Extremum Seeking

Shaifalee Saxena, Alan Williams, Rafael Fierro +1

In this paper, we study the use of robust model independent bounded extremum seeking (ES) feedback control to improve the robustness of deep reinforcement learning (DRL) controller…

physics.acc-ph2025

Adaptive conditional latent diffusion maps beam loss to 2D phase space projections

Alexander Scheinker, Alan Williams

Beam loss (BLM) and beam current monitors (BCM) are ubiquitous at particle accelerator around the world. These simple devices provide non-invasive high level beam measurements, but…

math.OC2024

QP Based Constrained Optimization for Reliable PINN Training

Alan Williams, Christopher Leon, Alexander Scheinker

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for integrating physics-based constraints and data to address forward and inverse problems in machine learn…

cs.LG2024

Classifier-pruned Bayesian optimization for particle accelerator tuning: Exploring temporally structured manifold of 6D beam phase space

Mahindra Rautela, Alan Williams, Alexander Scheinker

Complex dynamical systems, such as particle accelerators, require tuning over high-dimensional, nonlinear state and parameter spaces while experimental measurements and high-fideli…

physics.acc-ph2024★ 1 cited

Time-inversion of spatiotemporal beam dynamics using uncertainty-aware latent evolution reversal

Mahindra Rautela, Alan Williams, Alexander Scheinker

Charged particle dynamics under the influence of electromagnetic fields is a challenging spatiotemporal problem. Many high performance physics-based simulators for predicting behav…

physics.acc-ph2024

Towards latent space evolution of spatiotemporal dynamics of six-dimensional phase space of charged particle beams

Mahindra Rautela, Alan Williams, Alexander Scheinker

Addressing the charged particle beam diagnostics in accelerators poses a formidable challenge, demanding high-fidelity simulations in limited computational time. Machine learning (…

physics.acc-ph2024

Accelerator system parameter estimation using variational autoencoded latent regression

Mahindra Rautela, Alan Williams, Alexander Scheinker

Particle accelerators are time-varying systems whose components are perturbed by external disturbances. Tuning accelerators can be a time-consuming process involving manual adjustm…

math.OC2024

Practical Safe Extremum Seeking with Assignable Rate of Attractivity to the Safe Set

Alan Williams, Miroslav Krstic, Alexander Scheinker

We present Assignably Safe Extremum Seeking (ASfES), an algorithm designed to minimize a measured objective function while maintaining a measured metric of safety (a control barrie…

physics.acc-ph2024

A conditional latent autoregressive recurrent model for generation and forecasting of beam dynamics in particle accelerators

Mahindra Rautela, Alan Williams, Alexander Scheinker

Particle accelerators are complex systems that focus, guide, and accelerate intense charged particle beams to high energy. Beam diagnostics present a challenging problem due to lim…

math.OC2023

Semi-Global Practical Extremum Seeking with Practical Safety

Alan Williams, Miroslav Krstic, Alexander Scheinker

We introduce a type of safe extremum seeking (ES) controller, which minimizes an unknown objective function while also maintaining practical positivity of an unknown barrier functi…