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TIDE: Asymmetric Neural Circuits for Stabilized Temporal Inhibitory-Excitatory Dynamics
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Proposes TIDE, a Continuous Thought Machine variant whose recurrent weights follow Dale-constrained Wilson-Cowan E-I dynamics with a spectral stability regularizer and a game-theoretic loss, reporting faster training and better robustness on ImageNet corruptions.
Problem
Continuous Thought Machine (CTM) uses unconstrained MLP recurrence without Dale's principle or stability guarantees, so its internal neural dynamics lack biological E-I structure and stability.
Approach
Replace CTM's unconstrained recurrent weights with non-negative magnitudes under a fixed Dale sign mask, integrate Wilson-Cowan E-I dynamics with population-specific time constants (tau_E=20 ms, tau_I=5 ms), enforce an 80:20 E-I ratio via a homeostatic loss, regularize the Perron eigenvalue with a differentiable power-iteration surrogate, and add a surprise-gated memory with an E-I retention gate.
Key results
- On ImageNet-1K, TIDE (100K steps) reaches 68.74% best top-1 versus CTM's 51.00% at 100K steps and 71.78% at 500K steps.
- TIDE improves CTM's top-1 accuracy by an average of +1.65% across ImageNet-C perturbations, while CTM is more robust under fog and snow.
- On MNIST, TIDE reaches 99.67% best accuracy vs CTM's 99.59% (200K steps), and on CIFAR-10 90.60% vs 86.16%.
Surprising findings
- Population collapse (n_I=0, i.e., CTM-like without inhibitory neurons) still achieves high top-1 accuracy, suggesting CTM is a special case of TIDE.
- CTM trained 500K steps on ImageNet-1K attains 71.78%, above TIDE's 68.74% best at 100K steps; the ImageNet gain holds only at fewer steps.
Limitations
- Many ablations and CTM comparisons use a single seed; multi-seed results are only for the main table.
- Training instability and population collapse at some hyperparameters (e.g., T=75/100, n_E/d=0.8 on Fashion-MNIST).
- Mismatched backbones: TIDE's HRF differs from CTM's pretrained ResNet-152 backbone, so comparisons are not like-for-like.
Experimental setup
Datasets: MNIST Fashion-MNIST CIFAR-10 CIFAR-100 ImageNet-1K
Benchmarks: MNIST Fashion-MNIST CIFAR-10 CIFAR-100 ImageNet-1K ImageNet-C ImageNet-R Tiny-ImageNet
Metrics: top-1 accuracy
Baselines: CTM
Builds on: Continuous Thought Machine Wilson-Cowan model Titans Dale's principle
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