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Conditioning Analysis of Winograd Transforms on Winograd F(m, 3) Tiles

196,900Kappa2(V)Standard Winograd
-7,872.67245,289.46498,451.6151,613.736Dec 20, 2025

Evaluation results

MethodLinks
Standard WinogradTile=F(8,3), Standard Points={0, ±1, ..., ±4, ∞}2025.12196,900—
Standard WinogradTile=F(6,3), Standard Points={0, ±1, ±2, ±3, ∞}2025.122,075—
NOVATile=F(8,3), Discovered Points={0, ±2/5, ±5/6, ±1, ±7/6, ∞}2025.12474415
NOVATile=F(6,3), Discovered Points={0, ±3/5, ±1, ±7/6, ∞}2025.127727
Standard WinogradTile=F(4,3), Standard Points={0, ±1, ±2, ∞}2025.1242.5—
NOVATile=F(4,3), Discovered Points={0, ±5/6, ±7/6, ∞}2025.1214.52.9
NOVATile=F(2,3), Discovered Points={0, ±1, ∞}2025.123.21