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arXiv · 2608.03266

Impacts of Single-objective Landscapes on Multi-objective Optimization

Shoichiro Tanaka·Keiki Takadama·Hiroyuki Sato
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Abstract

This work revealed a relationship between a multi-objective optimization problem and single-objective optimization problems that exist in the multi-objective problem. This work focused on combinatorial problems and investigated the relations between the local optima networks of the single-objective problems and the Pareto optima network of the multi-objective problem. Each of their networks has a graph structure. We divided the entire network into subgraphs. Each subgraph was called a component and characterized by overlapping relations between the single-objective local optima networks and the multi-objective Pareto optima network. Results on multi-objective landscape problems showed that most Pareto optimal solutions were reachable from the single-objective local optimal solutions. This tendency was emphasized by increasing the number of objectives and the objective correlation. The number of co-variables impacted the number of cross-link relations between the single-objective local optima networks and the multi-objective Pareto optima network. The results suggested that searching for single-objective problems is a clue to multi-objective optimization.

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Shoichiro Tanaka, Keiki Takadama, Hiroyuki Sato. 2026-08-04. Impacts of Single-objective Landscapes on Multi-objective Optimization. https://doi.org/10.1109/cec55065.2022.9870226

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