CPCANet：深度展开公共主成分分析用于域泛化

CPCANet: Deep Unfolding Common Principal Component Analysis for Domain Generalization

May 7, 2026

作者: Yu-Hsi Chen, Abd-Krim Seghouane

cs.AI

摘要

域泛化（DG）旨在学习在分布外（OOD）偏移下保持鲁棒性且能有效泛化至未见目标域的表示。尽管近期的不变学习策略与架构进展已取得优异性能，但通过二阶统计量显式发现结构化域不变子空间的方法仍鲜有探索。本研究提出CPCANet，一种基于公共主成分分析（CPCA）的新型框架，通过将迭代式Flury-Gautschi（FG）算法展开为完全可微的神经层，将CPCA的统计特性融入端到端可训练框架，在保持可解释性的同时强制发现跨多样域的共享子空间。在四个标准DG基准上的实验表明，CPCANet在零样本迁移中达到了最优（SOTA）性能。此外，CPCANet架构无关且无需针对数据集进行特定调参，为学习分布偏移下的鲁棒表示提供了简洁高效的方案。代码开源地址：https://github.com/wish44165/CPCANet。

English

Domain Generalization (DG) aims to learn representations that remain robust under out-of-distribution (OOD) shifts and generalize effectively to unseen target domains. While recent invariant learning strategies and architectural advances have achieved strong performance, explicitly discovering a structured domain-invariant subspace through second-order statistics remains underexplored. In this work, we propose CPCANet, a novel framework grounded in Common Principal Component Analysis (CPCA), which unrolls the iterative Flury-Gautschi (FG) algorithm into fully differentiable neural layers. This approach integrates the statistical properties of CPCA into an end-to-end trainable framework, enforcing the discovery of a shared subspace across diverse domains while preserving interpretability. Experiments on four standard DG benchmarks demonstrate that CPCANet achieves state-of-the-art (SOTA) performance in zero-shot transfer. Moreover, CPCANet is architecture-agnostic and requires no dataset-specific tuning, providing a simple and efficient approach to learning robust representations under distribution shift. Code is available at https://github.com/wish44165/CPCANet.