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Interpret Your Decision: Logical Reasoning Regularization for Generalization in Visual Classification

NeurIPS 2024 · Label-efficient and robust learning › Recognition and long-tail · approach: Loss design and classifier theory · 1 citations (OpenAlex)

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Proposes L-Reg, a sample-based logical (entropy-based) regularizer for visual classification that improves generalization in multi-domain generalization, generalized category discovery, and their combination.

Problem

Vision classifiers generalize poorly to unseen domains and to unknown classes; standard L2 weight decay is parametric rather than sample-based and gives ambiguous interpretability.

Approach

Derives a logic-based regularizer (L-Reg) from a logical analysis framework and semantic supports: an entropy-based loss that encourages each class to be decided by a minimal set of latent semantics with distinct supports per class, added to existing losses as L_main + alpha * L_L-Reg.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add L-Reg to GMDGGMDG · mDG average across PACS, VLCS, OfficeHome, TerraIncognita, and DomainNetaccuracy: 75.1 -> 75.8; 0.7↑Helped
Add L-Reg to PIMPIM · GCD average across six datasetsAll accuracy: 67.4 -> 68.8; 1.4↑Helped
Add L-Reg to PIMPIM · GCD average across six datasetsKnown accuracy: 79.3 -> 79.0; 0.3↓Hurt
Add L-Reg to PIMPIM · GCD average across six datasetsUnknown accuracy: 59.9 -> 62.7; 2.8↑Helped
Add L-Reg to GMDGGMDG · mDG + GCD averageUnknown accuracy: 20.68 -> 27.68; 7.01Helped
Apply L-Reg to deep-layer features rather than earlier and deep layers (ablation)GMDG · PACS mDG + GCDAll accuracy: 58.97 -> 67.82Helped
Add L-Reg to CircuitFormerCircuitFormer · CircuitNet congestion predictionpearson: 0.6374 -> 0.6553Helped
Add L-Reg to ERMERM · TerraIncognita mDGaccuracy: 49.9±3.6 -> 52.9±4.2Helped
Replace L-Reg with sparsity regularization (ablation)PIM · GCD average across six datasetsAll accuracy: 67.4 -> 66.6; -0.7Hurt
Replace L-Reg with Ortho-Reg (ablation)PIM · GCD average across six datasetsAll accuracy: 67.4 -> 68.4; 1.0Helped
Add Ortho-Reg alongside L-Reg (ablation)PIM + L-Reg · GCD average across six datasetsAll accuracy: 68.8 -> 69.3Helped
Add L-Reg to GMDGGMDG · mDG benchmarksaccuracy: PACS 97.3±0.1 -> 97.4±0.2; VLCS 82.4±0.6 -> 82.4±0.0; OfficeHome 80.8±0.6 -> 80.9±0.5; TerraIncognita 60.7±1.8 -> 62.9±0Mixed

Surprising findings

Limitations

Experimental setup

Datasets: PACS VLCS OfficeHome TerraIncognita DomainNet CIFAR10 CIFAR100 ImageNet-100 CUB Stanford Cars Herbarium19 CircuitNet

Benchmarks: PACS VLCS OfficeHome TerraIncognita DomainNet CIFAR10 CIFAR100 ImageNet-100 CUB Stanford Cars Herbarium19 CircuitNet

Metrics: accuracy All/Known/Unknown accuracy pearson spearman kendall

Baselines: ERM MIRO GMDG PIM GCD ORCA K-means CircuitFormer Ortho-Reg Sparsity

Builds on: GMDG PIM MIRO DomainBed

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