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cs.LG2026

The Neural Tangent Kernel for Classification

Jonathan Plenk, Sergio Calvo-Ordonez, Alvaro Cartea +3

In wide neural networks, the Neural Tangent Kernel (NTK) remains approximately constant during training, providing a powerful theoretical tool for studying training dynamics, gener…

cs.LG2026

Richer Bayesian Last Layers with Subsampled NTK Features

Sergio Calvo-Ordoñez, Jonathan Plenk, Richard Bergna +4

Bayesian Last Layers (BLLs) provide a convenient and computationally efficient way to estimate uncertainty in neural networks. However, they underestimate epistemic uncertainty bec…

cs.LG2025

Weighted Conditional Flow Matching

Sergio Calvo-Ordonez, Matthieu Meunier, Alvaro Cartea +3

Conditional flow matching (CFM) has emerged as a powerful framework for training continuous normalizing flows due to its computational efficiency and effectiveness. However, standa…

cs.LG2025

Martingale Posterior Neural Networks for Fast Sequential Decision Making

Gerardo Duran-Martin, Leandro Sánchez-Betancourt, Álvaro Cartea +1

We introduce scalable algorithms for online learning of neural network parameters and Bayesian sequential decision making. Unlike classical Bayesian neural networks, which induce p…

cs.LG2025

A Gaussian Process View on Observation Noise and Initialization in Wide Neural Networks

Sergio Calvo-Ordoñez, Jonathan Plenk, Richard Bergna +4

Performing gradient descent in a wide neural network is equivalent to computing the posterior mean of a Gaussian Process with the Neural Tangent Kernel (NTK-GP), for a specific pri…