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Modular Addition on Modular Addition Token Embedding

99.4Match Accuracyauxiliary modulus Kq
-3.66423.09349.8576.607May 8, 2026

Evaluation results

MethodLinks
auxiliary modulus KqN=8, q=31, Training samples=1M, Embedding=Token2026.0599.4
auxiliary modulus KqN=16, q=31, Training samples=1M, Embedding=Token2026.0598.9
BaselineN=8, q=31, Training samples=1M, Embedding=Token2026.0598.6
auxiliary modulus KqN=32, q=31, Training samples=1M, Embedding=Token2026.0596.5
auxiliary modulus KqN=8, q=97, Training samples=1M, Embedding=Token2026.0590.1
auxiliary modulus KqN=8, q=31, Training samples=100K, Embedding=Token2026.0589.1
auxiliary modulus KqN=16, q=97, Training samples=1M, Embedding=Token2026.0581.9
BaselineN=16, q=31, Training samples=1M, Embedding=Token2026.0580.7
BaselineN=8, q=97, Training samples=1M, Embedding=Token2026.0574.9
auxiliary modulus KqN=32, q=97, Training samples=1M, Embedding=Token2026.0562.2
auxiliary modulus KqN=16, q=31, Training samples=100K, Embedding=Token2026.0558.4
BaselineN=32, q=31, Training samples=1M, Embedding=Token2026.0538.7
auxiliary modulus KqN=8, q=257, Training samples=1M, Embedding=Token2026.0534
auxiliary modulus KqN=32, q=31, Training samples=100K, Embedding=Token2026.0533.1
auxiliary modulus KqN=16, q=257, Training samples=1M, Embedding=Token2026.0521.7
auxiliary modulus KqN=8, q=97, Training samples=100K, Embedding=Token2026.0513.9
auxiliary modulus KqN=32, q=257, Training samples=1M, Embedding=Token2026.0512.6
auxiliary modulus KqN=16, q=97, Training samples=100K, Embedding=Token2026.056.2
BaselineN=16, q=31, Training samples=100K, Embedding=Token2026.053.3
BaselineN=8, q=31, Training samples=100K, Embedding=Token2026.053.2
BaselineN=32, q=31, Training samples=100K, Embedding=Token2026.052.9
auxiliary modulus KqN=32, q=97, Training samples=100K, Embedding=Token2026.051.7
BaselineN=16, q=97, Training samples=1M, Embedding=Token2026.051.1
BaselineN=32, q=97, Training samples=100K, Embedding=Token2026.051.1
auxiliary modulus KqN=8, q=257, Training samples=100K, Embedding=Token2026.051
BaselineN=16, q=97, Training samples=100K, Embedding=Token2026.051
BaselineN=32, q=97, Training samples=1M, Embedding=Token2026.051
BaselineN=8, q=97, Training samples=100K, Embedding=Token2026.050.9
auxiliary modulus KqN=16, q=257, Training samples=100K, Embedding=Token2026.050.6
BaselineN=8, q=257, Training samples=100K, Embedding=Token2026.050.5
BaselineN=8, q=257, Training samples=1M, Embedding=Token2026.050.5
auxiliary modulus KqN=32, q=257, Training samples=100K, Embedding=Token2026.050.5
BaselineN=16, q=257, Training samples=100K, Embedding=Token2026.050.4
BaselineN=16, q=257, Training samples=1M, Embedding=Token2026.050.4
BaselineN=32, q=257, Training samples=100K, Embedding=Token2026.050.4
BaselineN=32, q=257, Training samples=1M, Embedding=Token2026.050.3