3 papers
cs.LG2026
Toward Goal-Agnostic Joint-Embedding Predictive Control of Partial Differential Equations
Jonathan Gallagher, Roberto Guglielmi
We present a goal-agnostic control framework for partial differential equations (PDEs) built around an end-to-end joint-embedding predictive architecture (JEPA). A lightweight 2D v…
math.NA2026
Physics Informed Neural Networks for Nonlinear Delay Differential Equations
Stone Yao, Vipin Kumar, Roberto Guglielmi
In this paper we propose a novel physics-informed neural network framework for solving general first-order delay differential equations. Our approach combines a differentiable hist…
math.OC2025
Boundary Control for Stability and Invariance of Traffic Flow Dynamics: A Convex Optimization Approach
Maria Teresa Chiri, Roberto Guglielmi, Gennaro Notomista
In this letter we propose an optimization-based boundary controller for traffic flow dynamics capable of achieving both stability and invariance conditions. The approach is based o…