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Directional Confusions Reveal Divergent Inductive Biases Through Rate-Distortion Geometry in Human and Machine Vision
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Compares directional confusion asymmetry in humans and deep vision models on the GEN perturbation benchmark, links asymmetry organization to rate-distortion geometry, and uses simulations to show broad-weak and sink-like asymmetries shift RD frontiers in opposite directions.
Problem
Humans and vision models reach similar accuracy but may differ in how their errors are directionally organized; accuracy-based evaluation cannot reveal this, and it is unclear whether asymmetry structure relates to generalization geometry independently of accuracy.
Approach
Treat each system's confusion matrix as a noisy channel, infer a latent distortion matrix via MAP with Blahut-Arimoto, and summarize the rate-distortion frontier (slope, curvature, AUC); decompose asymmetry into breadth (fraction of asymmetric pairs) and strength (mean deviation), contrasting human broad-weak asymmetry with ANN sink-like collapses.
Key results
- ANNs show larger global Frobenius asymmetry than humans (1.22 vs 1.04, p<2.2e-16) but humans have more asymmetric class pairs (85.4 vs 64.2), while ANN per-pair strength is larger (0.141 vs 0.042).
- Distortion-trained models show a strong accuracy-controlled positive asymmetry-AUC association (slope 1.02, p=6.0e-18), while baseline models and humans show no reliable accuracy-controlled slopes.
- In simulations (n=1662 non-collapsed runs), broad-weak generators show positive accuracy-adjusted AUC slopes in all 15 slices while sink slopes are near zero or negative; strict recovery passes 30.6% of runs removed.
Surprising findings
- Groups significantly more asymmetric than humans show no significant accuracy difference from humans, while groups matching humans on asymmetry are more accurate, a double dissociation.
- Accuracy-controlled Distortion-trained asymmetry-AUC association is positive, reversing the sign of the pooled negative correlation (-0.73).
Limitations
- Analyses restricted to K=16 class categorization from GEN benchmark; generalization to other label granularities untested.
- Human sample (n=81 blocks) much smaller than ANN sample (n=1569 blocks).
- MAP inference of rho validated against ground truth only in simulation; prior sensitivity in empirical setting not assessed.
Experimental setup
Datasets: GEN model-vs-human benchmark (~83k human psychophysics trials, 12 perturbation families, K=16 ImageNet-derived classes) ModelZoo confusion matrices
Benchmarks: GEN model-vs-human benchmark ModelZoo (15 modern architectures)
Metrics: Frobenius asymmetry index breadth (fraction of asymmetric pairs) strength (conditional mean deviation) RD slope RD curvature RD AUC recovery fraction
Baselines: GoogLeNet ResNet-152 VGG-19 Distortion-trained ResNet-50 Specialised models All-noise models
Builds on: Blahut-Arimoto algorithm GEN model-vs-human benchmark rate-distortion fitting of confusion matrices
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