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Single neuron with CoT supervision shows surprising computational power

Researchers have demonstrated that a single neuron, when trained with autoregressive Chain-of-Thought (CoT) supervision, can simulate any feedforward circuit with the same activation function. This finding suggests that even simple neural structures can achieve significant computational power. The study, which connects to Sidon sets in additive combinatorics, shows that autoregressive threshold neurons can simulate polynomial-time Turing machines and are efficiently learnable. As a practical demonstration, a single autoregressive ReLU neuron was trained to mimic a neural network on the CIFAR-10 dataset with notable accuracy. AI

IMPACT Suggests that simpler neural architectures might achieve complex computational tasks with appropriate training methods.

RANK_REASON Research paper detailing theoretical findings on neural network expressivity. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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Single neuron with CoT supervision shows surprising computational power

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Research paper detailing theoretical findings on neural network expressivity. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Roey Magen, Nirmit Joshi, Gal Vardi ·

    The Surprising Expressivity of a Single Neuron with Autoregressive Chain-of-Thought

    arXiv:2610.17283v1 Announce Type: cross Abstract: The success of autoregressive language models trained with Chain-of-Thought~(CoT) supervision raises a fundamental question: How simple can a next-token predictor be while still enabling the efficient simulation of general computa…