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Probing Astra's Determinant Skills: From Tests to New Experiments
Community analysis suggested Astra's 3×3 determinant skill stems from specialized circuits rather than a general algorithm, prompting researchers to design larger-matrix experiments to probe its parity mechanism.
2026-09-26 ~ 2026-09-27 · 2 episodes · 5 posts
Episode 1 · Astra's determinant and parity skills traced to learned tricks, not general algorithms (2026-09-26, 3 posts)
Analysis suggests Astra solves 3x3 determinants (75% accuracy) via learned, bounded tricks—possibly a dedicated 3x3 circuit—rather than a general algorithm, and its surprising parity success, theoretically hard for fixed-depth transformers, may relate to recurrence.
- Astra hits 75% on 3x3 determinants — likely a dedicated circuit, not a general algorithm — justanotherlaw · 2026-09-26
- Astra seems to have learned a parity algorithm — looping may beat fixed-depth limits — justanotherlaw · 2026-09-26
- How models fake determinants: a 3x3 trick that dies at 4x4 and a sign-counting hack — scaling01 · 2026-09-27
Episode 2 · Researchers propose scaling matrix experiments to probe Astra's parity mechanism (2026-09-26, 2 posts)
Community members propose scaling parity experiments to 64x64 matrices and varying matrix size at fixed counts of -1, arguing that degradation patterns would reveal which internal algorithm Astra actually implements.
- Proposed test: scale Astra's determinant task to 64x64 matrices to probe its parity mechanism — justanotherlaw · 2026-09-26
- Fix k=-1 entries, vary matrix size n: a sharper probe of Astra's internal algorithm — justanotherlaw · 2026-09-26