arXiv Machine Learning By Mahdi Mohammadigohari

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

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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.

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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