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Learning to Search in Local Branching

AAAI 2022 · Learning theory and algorithms › Combinatorial and search optimization · approach: Learning branch-and-cut for MILP · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use scaled-regression initialization and RL neighborhood adaptation instead of default local branchingLocal branching on SC, MIS, and CA · SC, MIS, CA (first and root starts)primal integral: 56.641 -> 2.874; 4.986 -> 1.125; 7.523 -> 2.780Helped
Use scaled-regression initialization and RL neighborhood adaptation instead of default local branchingLocal branching on SC, MIS, and CA · SC, MIS, CA (first and root starts)final primal gap (percentage): 1136.74 -> 1.15; 0.20 -> 0.23; 2.64 -> 0.40Mixed
Use scaled-regression initialization and RL neighborhood adaptation instead of default local branchingLocal branching on larger instances · LSC, LMIS, LCAprimal integral: 59.306 -> 2.424; 23.626 -> 1.653; 27.598 -> 9.047Helped
Use scaled-regression initialization and RL neighborhood adaptation instead of default local branchingLocal branching on GISP · GISP (first and root starts)primal integral: 22.176 -> 13.786; 18.677 -> 9.591Helped
Use scaled-regression initialization and RL neighborhood adaptation instead of default local branchingLocal branching on MIPLIB · MIPLIB (first and root starts)primal integral: 14.984 -> 11.655; 7.363 -> 5.408Helped
Use regression-predicted neighborhood size for the first iteration (ablation)Local branching on SC, MIS, and CA · SC, MIS, CA (first and root starts)primal integral: 56.641 -> 3.282; 4.986 -> 1.575; 7.523 -> 5.400Helped
Train the regression model on a mixed SC, MIS, and CA dataset rather than a homogeneous dataset (ablation)Scaled-regression local branching · SC, MIS, CAprimal integral: 3.282 -> 3.910; 1.575 -> 1.473; 5.400 -> 5.427Mixed
Add RL neighborhood adaptation to mixed-data regression (ablation)Scaled-regression local branching · SC, MIS, CAprimal integral: 3.910 -> 2.874; 1.473 -> 1.125; 5.427 -> 2.780Helped
Use RL neighborhood adaptation with a default initial size, without learned regression initialization (ablation)Local branching · SC, MIS, CAfinal primal gap (percentage): 1136.74 -> 7.05; 0.28 -> 0.37; 2.64 -> 0.49Mixed
Use the hybrid method instead of regression alone (ablation)Local branching with mixed-data regression · SC, MIS, CAfinal primal gap (percentage): 1.44 -> 1.15; 0.25 -> 0.25; 2.07 -> 0.40Mixed

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