3 papers
math.NA2026
Pointwise Error Estimates for Numerical Physics-Informed Neural Networks
Nivar Anwer, Marien Chenaud, José Alves +1
Physics-informed neural networks are often evaluated by residual losses sampled at finitely many points, which do not by themselves certify pointwise values of a partial differenti…
eess.SY2026
Multi-Agent System Identification with Nonlinear Sheaf Diffusion
Nivar Anwer, Hans Riess, Matthew Hale
Local interaction laws governing multi-agent systems can be difficult to recover from trajectory data, even when the dynamics are observed faithfully. In systems governed by a nonl…
cs.LO2026
A Foundational Theory of Quantitative Abstraction: Adjunctions, Duality, and Logic for Probabilistic Systems
Nivar Anwer, Ezequiel López-Rubio, David Elizondo +1
The analysis and control of stochastic dynamical systems rely on probabilistic models such as (continuous-space) Markov decision processes, but large or continuous state spaces mak…