vix.ing · top · new · best · stats · spec

Compositional Risk Minimization

2024/10/08 by Divyat Mahajan, Mohammad Zakaria Pezeshki, Mahajan, Divyat +8 · 2 citations
Economics, Econometrics and Finance · Medicine · #Artificial Intelligence (cs.AI) #Biotechnology and Related Fields #FOS: Computer and information sciences #Machine Learning (cs.LG) #Market Dynamics and Volatility

paper · pdf · doi:10.48550/arxiv.2410.06303

openalex publication_date 2024/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Compositional generalization is a crucial step towards developing data-efficient intelligent machines that generalize in human-like ways. In this work, we tackle a challenging form of distribution shift, termed compositional shift, where some attribute combinations are completely absent at training but present in the test distribution. This shift tests the model's ability to generalize compositionally to novel attribute combinations in discriminative tasks. We model the data with flexible additive energy distributions, where each energy term represents an attribute, and derive a simple alternative to empirical risk minimization termed compositional risk minimization (CRM). We first train an additive energy classifier to predict the multiple attributes and then adjust this classifier to tackle compositional shifts. We provide an extensive theoretical analysis of CRM, where we show that our proposal extrapolates to special affine hulls of seen attribute combinations. Empirical evaluations on benchmark datasets confirms the improved robustness of CRM compared to other methods from the literature designed to tackle various forms of subpopulation shifts.

Cited by

Related