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A simple mean field model of feature learning

arXiv:2510.15174v1 Announce Type: new Abstract: Feature learning (FL), where neural networks adapt their internal representations during training, remains poorly understood. Using methods from statistical physics, we derive a tractable, self-consistent mean-field (MF) theory for the Bayesian posterior of two-layer non-linear…

Bayesian Ego-graph inference for Networked Multi-Agent Reinforcement Learning

arXiv:2509.16606v2 Announce Type: replace-cross Abstract: In networked multi-agent reinforcement learning (Networked-MARL), decentralized agents must act under local observability and constrained communication over fixed physical graphs. Existing methods often assume static neighborhoods, limiting adaptability to dynamic or heterogeneous environments. While centralized…

Finding geodesics with the Deep Ritz method

arXiv:2510.15177v1 Announce Type: new Abstract: Geodesic problems involve computing trajectories between prescribed initial and final states to minimize a user-defined measure of distance, cost, or energy. They arise throughout physics and engineering — for instance, in determining optimal paths through…

DeepRV: Accelerating spatiotemporal inference with pre-trained neural priors

arXiv:2503.21473v2 Announce Type: replace-cross Abstract: Gaussian Processes (GPs) provide a flexible and statistically principled foundation for modelling spatiotemporal phenomena, but their $O(N^3)$ scaling makes them intractable for large datasets. Approximate methods such as variational inference (VI), inducing points (sparse GPs),…

Disentanglement of Sources in a Multi-Stream Variational Autoencoder

arXiv:2510.15669v1 Announce Type: cross Abstract: Variational autoencoders (VAEs) are a leading approach to address the problem of learning disentangled representations. Typically a single VAE is used and disentangled representations are sought in its continuous latent space. Here we explore a…

Hopfield-Fenchel-Young Networks: A Unified Framework for Associative Memory Retrieval

arXiv:2411.08590v4 Announce Type: replace Abstract: Associative memory models, such as Hopfield networks and their modern variants, have garnered renewed interest due to advancements in memory capacity and connections with self-attention in transformers. In this work, we introduce a unified framework-Hopfield-Fenchel-Young…