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New research challenges Fourier alignment in single-neuron AI models

By PulseAugur Editorial · [3 sources] ·

Researchers have presented a counterexample to the Fourier alignment hypothesis in single-neuron modular addition. The study demonstrates a scenario where a ReLU neuron, initially active, becomes inactive and freezes at a limit with evenly distributed Fourier energy across frequency classes. This phenomenon occurs with positive probability under Gaussian initialization and can be extended to Clarke trajectories, indicating that single-frequency alignment is not a universal outcome when training a single neuron on modular addition. AI

IMPACT Challenges assumptions about neural network training dynamics, potentially impacting future model architectures and optimization techniques.

RANK_REASON The cluster contains an academic paper published on arXiv detailing a theoretical counterexample to a concept in neural network training.

Read on arXiv cs.NE (Neural & Evolutionary) →

AI-generated summary · Google Gemini · from 3 sources. How we write summaries →

New research challenges Fourier alignment in single-neuron AI models

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COVERAGE [3]

  1. arXiv cs.LG TIER_1 English(EN) · Gautam Neelakantan Memana ·

    A Counterexample to Fourier Alignment in Single-Neuron Modular Addition

    arXiv:2608.04451v1 Announce Type: cross Abstract: We give a negative solution to MAIS-O60. We first construct an example in which an initially active ReLU neuron becomes completely inactive in finite time and thereafter remains frozen at a limit whose Fourier energy is equally di…

  2. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Gautam Neelakantan Memana ·

    A Counterexample to Fourier Alignment in Single-Neuron Modular Addition

    We give a negative solution to MAIS-O60. We first construct an example in which an initially active ReLU neuron becomes completely inactive in finite time and thereafter remains frozen at a limit whose Fourier energy is equally distributed among all nonzero real frequency classes…

  3. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Gautam Neelakantan Memana ·

    A Counterexample to Fourier Alignment in Single-Neuron Modular Addition

    We give a negative solution to MAIS-O60. We first construct an example in which an initially active ReLU neuron becomes completely inactive in finite time and thereafter remains frozen at a limit whose Fourier energy is equally distributed among all nonzero real frequency classes…

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