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Interpret Your Decision: Logical Reasoning Regularization for Generalization in Visual Classification
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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
- On DomainBed with GMDG backbone, GMDG+L-Reg reaches 75.8 average accuracy versus 75.1 for GMDG (TerraIncognita 62.9 vs 60.7).
- On GCD with PIM, PIM+L-Reg improves unknown-class accuracy from 59.9 to 62.7 and average All accuracy from 67.4 to 68.8; adding Ortho-Reg gives 69.3 All.
- In the mDG+GCD setting with GMDG, L-Reg raises All accuracy from 47.94 to 51.94 and Unknown accuracy from 20.68 to 27.68.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add L-Reg to GMDG | GMDG · mDG average across PACS, VLCS, OfficeHome, TerraIncognita, and DomainNet | accuracy: 75.1 -> 75.8; 0.7↑ | Helped |
| Add L-Reg to PIM | PIM · GCD average across six datasets | All accuracy: 67.4 -> 68.8; 1.4↑ | Helped |
| Add L-Reg to PIM | PIM · GCD average across six datasets | Known accuracy: 79.3 -> 79.0; 0.3↓ | Hurt |
| Add L-Reg to PIM | PIM · GCD average across six datasets | Unknown accuracy: 59.9 -> 62.7; 2.8↑ | Helped |
| Add L-Reg to GMDG | GMDG · mDG + GCD average | Unknown accuracy: 20.68 -> 27.68; 7.01 | Helped |
| Apply L-Reg to deep-layer features rather than earlier and deep layers (ablation) | GMDG · PACS mDG + GCD | All accuracy: 58.97 -> 67.82 | Helped |
| Add L-Reg to CircuitFormer | CircuitFormer · CircuitNet congestion prediction | pearson: 0.6374 -> 0.6553 | Helped |
| Add L-Reg to ERM | ERM · TerraIncognita mDG | accuracy: 49.9±3.6 -> 52.9±4.2 | Helped |
| Replace L-Reg with sparsity regularization (ablation) | PIM · GCD average across six datasets | All accuracy: 67.4 -> 66.6; -0.7 | Hurt |
| Replace L-Reg with Ortho-Reg (ablation) | PIM · GCD average across six datasets | All accuracy: 67.4 -> 68.4; 1.0 | Helped |
| Add Ortho-Reg alongside L-Reg (ablation) | PIM + L-Reg · GCD average across six datasets | All accuracy: 68.8 -> 69.3 | Helped |
| Add L-Reg to GMDG | GMDG · mDG benchmarks | accuracy: 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±0 | Mixed |
Surprising findings
- L-Reg slightly lowers known-class accuracy in GCD (PIM known 79.3 to 79.0), a trade-off the authors attribute to reduced semantic support.
- Applying L-Reg to earlier layers improves unknown-class accuracy but degrades known-class accuracy, so it is recommended only for deep-layer features.
Limitations
- Known-class accuracy can slightly decrease because semantic supports are narrowed.
- Fails in strong domain shifts such as sketch images where person features are absent.
- Relies on the precondition that latent dimensions represent independent semantics, which may not hold for shallow layers.
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
Closest papers by meaning
- DiVE-k: DIFFERENTIAL VISUAL REASONING FOR FINE-GRAINED IMAGE RECOGNITION (ICLR 2026 · similarity 0.86)
- Reasoning-Driven Multimodal LLM for Domain Generalization (ICLR 2026 · similarity 0.85)
- Democratizing Fine-grained Visual Recognition with Large Language Models (ICLR 2024 · similarity 0.84)
- Benchmarking Large Vision-Language Models on Fine-Grained Image Tasks: A Comprehensive Evaluation (ICLR 2026 · similarity 0.84)
- Fine-R1: Make Multi-modal LLMs Excel in Fine-Grained Visual Recognition by Chain-of-Thought Reasoning (ICLR 2026 · similarity 0.83)
- Explaining Domain Shifts in Language: Concept Erasing for Interpretable Image Classification (CVPR 2025 · similarity 0.83)
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