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Farsighted Probabilistic Sampling: A General Strategy for Boosting Local Search MaxSAT Solvers

AAAI 2023 · Learning theory and algorithms › Combinatorial and search optimization · approach: Heuristic and local search algorithms · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply two-level farsighted probabilistic sampling to SATLike3.0SATLike3.0 · PMS_2018–PMS_2021 and WPMS_2018–WPMS_2021#win.: 111 vs 61; 212 vs 142; 189 vs 112; 108 vs 64; 115 vs 64; 222 vs 100; 183 vs 86; 84 vs 64Helped
Apply FPS to CCEHCCCEHC · WPMS_2018–WPMS_2021#win.: 78 vs 58; 143 vs 94; 112 vs 89; 46 vs 59Mixed
Apply FPS to DistDist · PMS_2018–PMS_2021#win.: 87 vs 73; 170 vs 152; 145 vs 119; 77 vs 74Mixed
Apply FPS to BandMaxSATBandMaxSAT · PMS_2018–PMS_2021 and WPMS_2018–WPMS_2021#win.: 105 vs 79; 203 vs 158; 172 vs 135; 91 vs 89; 102 vs 73; 179 vs 149; 153 vs 121; 83 vs 62Helped
Replace SATLike-c local search component with MaxFPSSATLike-c · PMS_2018–PMS_2021 and WPMS_2018–WPMS_2021average score: 0.8682 vs 0.8399; 0.8796 vs 0.8734; 0.8696 vs 0.8457; 0.8802 vs 0.8508; 0.9084 vs 0.8931; 0.9091 vs 0.8810; 0.8868 vs 0.Helped
Use FPS's best sampled single-variable/pair escape choice instead of random walk (ablation)MaxFPS · PMS and WPMS benchmarks#win.: 104 vs 75; 202 vs 172; 163 vs 140; 98 vs 89; 119 vs 69; 212 vs 123; 177 vs 104; 89 vs 61Helped
Add two-level look-ahead to the single-flip baseline, retaining random-walk escape (ablation)SATLike3.0 · PMS and WPMS benchmarks#win.: 106 vs 63; 206 vs 142; 161 vs 112; 105 vs 68; 90 vs 92; 188 vs 131; 156 vs 116; 71 vs 75Helped
Extend two-level look-ahead to three levels (ablation)MaxFPS · PMS and WPMS benchmarks#win.: 96 vs 44; 194 vs 103; 148 vs 86; 89 vs 58; 85 vs 57; 181 vs 92; 164 vs 61; 83 vs 32Hurt
Perform look-ahead when a single-flip improvement already exists (ablation)MaxFPS · PMS and WPMS benchmarks#win.: 96 vs 80; 194 vs 166; 148 vs 136; 89 vs 85; 85 vs 70; 181 vs 144; 164 vs 112; 83 vs 51Hurt
Remove early stopping after finding an improving variable pair (ablation)MaxFPS · PMS and WPMS benchmarks#win.: 106 vs 85; 198 vs 186; 177 vs 161; 96 vs 90; 109 vs 92; 188 vs 164; 160 vs 133; 78 vs 76Hurt

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