Beyond Mixtures and Products for Ensemble Aggregation: A Likelihood Perspective on Generalized Means

This paper establishes a principled theoretical framework for density aggregation by demonstrating that normalized generalized means with order r[0,1]r \in [0,1] are the only rules guaranteeing systematic improvements in log-likelihood over individual distributions, thereby providing a unified justification for the widespread use of linear and geometric pooling in Deep Ensembles.

Raphaël Razafindralambo, Rémy Sun, Frédéric Precioso + 2 more2026-03-05🤖 cs.LG

From Reachability to Learnability: Geometric Design Principles for Quantum Neural Networks

This paper reframes Quantum Neural Network design from state reachability to learnability by introducing geometric design principles and the almost Complete Local Selectivity (aCLS) criterion, demonstrating that architectures requiring joint dependence on data and trainable weights enable adaptive feature learning and outperform traditional schemes with greater efficiency.

Vishal S. Ngairangbam, Michael Spannowsky2026-03-03⚛️ quant-ph