arXiv Machine Learning

Sample-Weighted End-to-End Trace-Norm Geometry for Multitask Learning

The paper introduces a sample-weighted trace-norm geometry for multitask learning, focusing on the end-to-end map from task coefficients to input-space predictors. It derives the exact empirical Rademacher complexity for a fixed-radius class and demonstrates that this measure captures orientation and factorization effects that traditional product-based bounds miss. Experiments on 252 held-out comparisons show that weighted joint nuclear regularization consistently improves population excess error over unweighted nuclear regularization and other baselines.

arXiv Machine Learning
Sep 10

Multi-Task Learning with Covariate-Overlap Regularization

The paper introduces COVER, a multi‑task learning framework that regularizes covariate overlap to mitigate the negative effects of sharing information across tasks with differing covariate distributions and response relationships. COVER blends a common component function, a shared neural representation, and low‑dimensional task‑specific coefficients, using taskwise second‑moment matrices to guide coefficient integration. The authors provide theoretical bias‑variance analysis, oracle inequalities, and neural‑network convergence rates, and demonstrate that COVER outperforms existing deep‑learning and statistical integration methods in simulations and a GTEx central‑nervous‑system study.

By Yang Sui, Qi Xu, Yang Bai, Annie Qu
arXiv Computation and Language
1d ago

Learning Functional Subspaces for Neural Network Compression

arXiv:2609.40127v1 Announce Type: cross Abstract: Modern transformers pair impressive capabilities with substantial memory and compute demands. Low-rank weight factorization reduces both while keepin...

By Massimo Bini, Anders Christensen, Stephan Alaniz, Judah Goldfeder, Ole Winther, Yann LeCun, Ravid Shwartz-Ziv, Zeynep Akata
Hugging Face Trending Papers
Jul 29

Temporally Centered SIGReg Improves Multi-Task LeWorldModel Learning: From Analysis to Method

Recent work on LeWorldModel (LeWM) has shown that the Sketched Isotropic Gaussian Regularizer (SIGReg) enables stable end-to-end world-model learning from pixels by regularizing the latent marginal distribution toward an isotropic Gaussian, thereby preventing representation collapse. While effective and elegant in single-task settings, this recipe does not extend reliably to multi-task training, leading to substantially worse downstream behavior-cloning performance.