arXiv Machine Learning By Batu Candan, Simone Servadio

Population-Aware Physics-Informed Neural Particle Flow for Bayesian Update

Read the original on arXiv Machine Learning →

arXiv:2606. 10959v1 Announce Type: new Abstract: Physics-informed neural particle flow (PINPF) learns a deterministic transport field that moves particles from a prior distribution toward a Bayesian posterior while enforcing the governing probability-evolution equation.

Summary generated by The Flow from the publisher's feed. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
5d ago

Functional-prior-based approaches to Bayesian PDE-constrained inversion using physics-informed neural networks

arXiv:2605. 07060v3 Announce Type: replace-cross Abstract: Physics-informed neural networks (PINNs) provide a mesh-free framework for solving PDE-constrained inverse problems, but their extension to Bayesian inversion still faces a fundamental difficulty: prior distributions are typically defined in the weight space of neural networks, whereas physically meaningful prior assumptions are more naturally expressed in function space.

By Ryoichiro Agata, Tomohisa Okazaki