IC/DC: Surpassing Heuristic Solvers in Combinatorial Optimization with Diffusion Models

• URL: http://arxiv.org/abs/2411.00003v2
• Date: Sun, 10 Nov 2024 11:14:00 GMT
• Title: IC/DC: Surpassing Heuristic Solvers in Combinatorial Optimization with Diffusion Models
• Authors: Seong-Hyun Hong, Hyun-Sung Kim, Zian Jang, Byung-Jun Lee,
• Abstract summary: We present IC/DC, a learning-based optimization framework that operates without any supervision. IC/DC is specialized in addressing problems involving two distinct sets of items, and it does not need problem-specific search processes to generate valid solutions. We train our model in a self-supervised way to minimize the cost of the solution while adhering to the problem-specific constraints.
• Score: 6.260482448679642
• License:
• Abstract: Recent advancements in learning-based combinatorial optimization (CO) methods have shown promising results in solving NP-hard problems without the need for expert-crafted heuristics. However, high performance of these approaches often rely on problem-specific human-expertise-based search after generating candidate solutions, limiting their applicability to commonly solved CO problems such as Travelling Salesman Problem (TSP). In this paper, we present IC/DC, a CO framework that operates without any supervision. IC/DC is specialized in addressing problems involving two distinct sets of items, and it does not need problem-specific search processes to generate valid solutions. IC/DC employs a novel architecture capable of capturing the intricate relationships between items, and thereby enabling effective optimization in challenging CO scenarios. We train our model in a self-supervised way to minimize the cost of the solution while adhering to the problem-specific constraints. IC/DC not only achieves state-of-the-art performance compared to previous learning methods, but also surpasses well-known solvers and heuristic approaches on Asymmetric Traveling Salesman Problem (ATSP).

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