finding
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finding:fourier-features-with-period-10-contribute-to-base-10-sum-computation-in-the-28-neuron-clusterFourier features with period 10 contribute to base-10 sum computation in the 28-neuron cluster
One of the three base-10 Fourier periods identified in the sparse neuron set
Source paper
extracted_from(2026) · Sheridan Feucht · Tal Haklay · Usha Bhalla · Daniel Wurgaft +8
Neighborhood — ranked by edge-count
Findings (1)
finding
- The specific Fourier feature periods identified confirm base-10 rather than modular computation
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Mechanistic claim linking identified Fourier features to base-10 arithmetic
- The 28 identified neurons can be partitioned into disjoint clusters each computing a different Fourier period sum
- Structural finding showing modular organization within the sparse neuron set
- Demonstrates that the Arabic feature is not aligned to any single neuron
- Systematic comparison showing features are substantially more universal than neurons across models
- Hebrew feature is effectively invisible in the neuron basis
- Method used to identify the periodic features and their periods in Llama-3.1-8B's MLP neurons