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Instance-wise algorithm configuration with graph neural networks

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arxiv 2202.04910 v1 pith:OGQ5AZYD submitted 2022-02-10 cs.LG math.OC

classification cs.LGmath.OC
keywords configurationsolvertaskcompetitiongoodgraphinstancesleaderboard
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We present our submission for the configuration task of the Machine Learning for Combinatorial Optimization (ML4CO) NeurIPS 2021 competition. The configuration task is to predict a good configuration of the open-source solver SCIP to solve a mixed integer linear program (MILP) efficiently. We pose this task as a supervised learning problem: First, we compile a large dataset of the solver performance for various configurations and all provided MILP instances. Second, we use this data to train a graph neural network that learns to predict a good configuration for a specific instance. The submission was tested on the three problem benchmarks of the competition and improved solver performance over the default by 12% and 35% and 8% across the hidden test instances. We ranked 3rd out of 15 on the global leaderboard and won the student leaderboard. We make our code publicly available at \url{https://github.com/RomeoV/ml4co-competition} .

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  1. Multi-task Representation Learning for Mixed Integer Linear Programming

    cs.AI 2024-12 conditional novelty 5.0 of 10

    A two-step multi-task training strategy for MILP solving produces embeddings that match specialized models in-distribution and generalize better on larger instances and new tasks.

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