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COMBHelper: A Neural Approach to Reduce Search Space for Graph Combinatorial Problems

2023-12-14 · Hao Tian, Sourav Medya, Wei Ye

Combinatorial Optimization (CO) problems over graphs appear routinely in many applications such as in optimizing traffic, viral marketing in social networks, and matching for job allocation. Due to their combinatorial nature, these problems are often NP-hard. Existing approximation algorithms and heuristics rely on the search space to find the solutions and become time-consuming when this space is large. In this paper, we design a neural method called COMBHelper to reduce this space and thus improve the efficiency of the traditional CO algorithms based on node selection. Specifically, it employs a Graph Neural Network (GNN) to identify promising nodes for the solution set. This pruned search space is then fed to the traditional CO algorithms. COMBHelper also uses a Knowledge Distillation (KD) module and a problem-specific boosting module to bring further efficiency and efficacy. Our extensive experiments show that the traditional CO algorithms with COMBHelper are at least 2 times faster than their original versions.

📄 PDF Abstract BibTeX arXiv:2312.09086

Code (1)

1041877801/COMBHelper 공식 구현 pytorch

Tasks

Combinatorial OptimizationGraph Neural NetworkKnowledge DistillationMarketing

Methods 이 논문이 사용한 방법론

Knowledge Distillation A very simple way to improve the performance of almost any machine learning algorithm is to train many different models on the same data and then to average their predictions.…
Graph Neural Network 설명 없음

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