arXiv Machine Learning

Diagonalized Attention for Individualized Regression: Latent-Row Localization and Prediction

The paper introduces an individualized sparse regression framework for matrix‑valued covariates, where each observation has its own relevant rows while regression effects are shared across the population. It proposes a diagonalized attention mechanism that uses query–key scores to localize sample‑specific signal rows and a value matrix for downstream regression, achieving a parameter dimension independent of sample size. The authors provide existence theorems guaranteeing recovery of latent rows under score‑separation and concentration conditions, and demonstrate strong prediction, localization, and classification performance in simulations and real sentiment analysis.

arXiv Machine Learning
Jul 28

SpecFormer: Mitigating Embedding and Attention Collapse via Spectral-Aware Transformer for Recommendation

arXiv:2607. 24025v1 Announce Type: cross Abstract: Transformer architectures have achieved remarkable success across diverse domains; however, directly applying their standard self-attention mechanism to recommendation often yields suboptimal performance, sometimes even trailing behind well-designed simple recommendation models.

By Yu Cui, Yi Xu, Jiahao Wang, Hao Zhang, Yu Zhang, Xiaoyi Zeng, Can Wang, Jinxin Hu, Jiawei Chen