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Understanding Generalization through Decision Pattern Shift
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Proposes Decision Pattern Shift (DPS), a GradCAM-based channel-contribution vector and a cosine deviation metric from class-mean training patterns, showing it correlates linearly with the generalization gap and organizes degradation scenarios into a spectrum.
Problem
Explaining why DNNs fail to generalize to unseen samples, given that existing analyses focus on external factors (data, representations, outputs) rather than the internal decision mechanism evolving from training to test.
Approach
Represent each sample's decision pattern as a GradCAM-derived channel-contribution vector and define generalization failure as the cosine deviation of a test sample's pattern from the training class-mean pattern; the DPS magnitude is argued (theoretically via a local expansion of cross-entropy and empirically) to be linearly related to the generalization gap.
Key results
- Decision patterns achieve intra-class consistency of 0.973 on CIFAR-10 and 0.925 on CIFAR-100 (ResNet), versus 0.894 and 0.810 for activation patterns.
- Sample-level DPS correlates with the generalization gap with Pearson r >= 0.78 (p<0.001) across datasets and architectures.
- On CIFAR-100 with VGG16, sample-level correlation drops from 0.930 (0% label noise) to 0.855 (20% label noise).
Surprising findings
- OOD data (STL-10) does not necessarily induce decision-pattern shift; its spectrum stays close to the in-distribution case.
- Activation pattern shift shows benign drift for about 40% of correct predictions, which DPS suppresses.
Limitations
- DPS reference relies on class-average patterns from clean training labels; label noise weakens the correlation.
- Evaluated only on CNN architectures (VGG, ResNet, GoogLeNet); Vision Transformers not studied.
- Decision pattern is a first-order approximation; the logit-sum equivalence is not exact for nonlinear heads.
Experimental setup
Datasets: CIFAR-10 CIFAR-100 TinyImageNet ImageNet (50-class subset) CIFAR-10-C STL-10 Colored MNIST
Benchmarks: CIFAR-10 CIFAR-100 TinyImageNet ImageNet CIFAR-10-C STL-10 Colored MNIST
Metrics: Pearson correlation intra-class consistency (cosine similarity) inter-class confusability (cosine similarity) generalization gap
Baselines: Activation pattern (APS)
Builds on: GradCAM
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