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José Miguel Hernández-Lobato

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#machine learning Preprint Oct 2026

$\sigma$Transfer: Uncertainty Transfer from Small to Large Networks under $\mu\mathrm{P}$

Reliable predictive uncertainty in Laplace approximations depends critically on the prior precision, yet selecting it requires a posterior sweep that is prohibitively expensive for neural networks with billions of parameters. Under the Maximal Update Parametrization ($\mu\mathrm{P}$), we derive a rescaling of the prior...

Richard Bergna, Fernando Ruiz Mazo, Nicolò Felicioni et al. · 0 citations
#machine learning Preprint Sep 2026

Self-Confirming Superposition Traps in Reinforcement Learning

It is shown that this loop can sustain a lower-return policy even when representation fitting is globally optimal on data selected by the agent, which then uses the resulting returns to guide its next choices.

Dai Shi, Andi Han, Feng Chen et al. · 0 citations
#machine learning Preprint Sep 2026

SupportCal: Label-Free Calibration of Post-Trained LLMs via Reference Support and Corroboration

SupportCal is introduced, a label-free post-hoc method that retains agreement examples at unit weight and assigns disagreement examples continuous weights based on the own-base PLM's relative support and corroboration from pretrained references selected from a size-compatible candidate pool.

Linhan Luo, Le-Quan Lin, Dai Shi et al. · 0 citations
#machine learning Review Sep 2026

Feature Superposition in Neural Networks: From Theory to Practice

This survey reviews the geometry, learning, and computation of superposed representations, explaining how feature statistics and decoder choice affect the conclusions and compares practical methods for recovering and analyzing features.

Dai Shi, Xiao-Yu Li, Andi Han et al. · 0 citations
Jul 2026

PerturbPFN: Probing the Limits of Synthetic Priors in Drug Perturbation Modelling

The results show that PerturbPFN offers a complementary trade-off to specialized baselines, achieving competitive perturbation prediction with low inference cost while exposing interpretable intermediate estimates of targets, strengths, and system structure.

Yu-Che Gao, José Miguel Hernández-Lobato, Siyuan Guo · 2 citations
#machine learning Preprint Aug 2026

When the Canonical Completion Is Wrong: Formalizing and Measuring the Jump in Large Language Models

A formal account of the jump is developed in four steps and measured, proving that jump instances are well-posed and establish a family theorem that certifies instances of unbounded difficulty without enumeration and further formalize when a jump is correct and how successive jumps compound.

Dai Shi, Xiao-Yu Li, José Miguel Hernández-Lobato · 0 citations

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