Interpretability debate: higher-modulus arithmetic features exceed allotted neuron resolution

thebasepoint · x · 2026-10-19

In a discussion with Neel Nanda, interpretability researcher thebasepoint agrees continuous phenomena are often a better lens, but suspects that for @dronh's example, the higher-moduli arithmetic features hold more resolution than the allotted neurons alone would predict, even though they capture a lot. By contrast, for low moduli like mod 2 and mod 5, neurons have crisply captured all the modes, leaving the model no incentive to spread the remainder elsewhere — implying superposition at higher moduli.

Related event: Interpretability Researchers Debate High-Modulus Arithmetic Features in Neural Networks(2 posts)→

Original post →

More from Research

Research channel →