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Sufficient Invariant Learning for Distribution Shift

CVPR 2025 · Label-efficient and robust learning › Test-time adaptation · approach: Robust optimization for distribution shift · 3 citations (OpenAlex)

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Proposes Sufficient Invariant Learning (SIL) and ASGDRO, a sharpness-aware group DRO that seeks common flat minima across environments so models rely on diverse invariant features, evaluated on a new H-CMNIST benchmark plus subpopulation, wilds, and DomainBed tasks.

Problem

Invariant learning methods often learn only a subset of invariant features, so models degrade under distribution shift when some invariant features are unobserved at test time.

Approach

Define Sufficient Invariant Learning, which requires robustness across subsets of invariant features, and approximate it by ASGDRO: a group DRO objective with adaptive sharpness-aware perturbations that drives convergence to flat minima common to all environments, with a normalization operator for scale invariance.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use ASGDRO instead of GDROH-CMNIST · TestBed 2: Shapeaccuracy: 61.44 ± 1.03 -> 69.17 ± 6.19Helped
Use ASGDRO instead of GDROsubpopulation shift models · Waterbirdsworst group accuracy: 90.6% -> 91.4%Helped
Use ASGDRO instead of GDROsubpopulation shift models · CelebAworst group accuracy: 87.2% -> 91.0%Helped
Use ASGDRO instead of GDROsubpopulation shift models · CivilCommentsworst group accuracy: 70.0% -> 71.8%Helped
Apply ASGDRO rather than ERM to DPLCLIPDPLCLIP · DomainBed averageaverage accuracy: 72.6 -> 74.0Helped
Apply ASGDRO rather than GDRO to DPLCLIPDPLCLIP · DomainBed averageaverage accuracy: 72.9 -> 74.0Helped
Learn diverse invariant features with ASGDRO rather than GDROH-CMNIST · TestBed 2: Spu & Shapeaccuracy: 57.53 ± 2.11 -> 66.62 ± 5.61Helped

Surprising findings

Limitations

Experimental setup

Datasets: CMNIST Waterbirds CelebA CivilComments Camelyon17 FMoW Amazon RxRx1 PACS VLCS OfficeHome TerraIncognita

Benchmarks: H-CMNIST CMNIST Waterbirds CelebA CivilComments WILDS DomainBed

Metrics: average accuracy worst-group accuracy Hessian eigenvalues

Baselines: ERM ASAM GDRO IRM IB-IRM V-REx CORAL DomainMix Fish LISA GSAM RDM

Builds on: Group DRO Sharpness-aware Minimization Adaptive SAM IRM DPLCLIP

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