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Main Authors: Ye, Furong, Neumann, Frank, Bäck, Thomas, van Stein, Niki
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.06973
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author Ye, Furong
Neumann, Frank
Bäck, Thomas
van Stein, Niki
author_facet Ye, Furong
Neumann, Frank
Bäck, Thomas
van Stein, Niki
contents We present a novel approach for constructing discrete optimization benchmarks that enables fine-grained control over problem properties, and such benchmarks can facilitate analyzing discrete algorithm behaviors. We build benchmark problems based on a set of block functions, where each block function maps a subset of variables to a real value. Problems are instantiated through a set of block functions, weight factors, and an adjacency graph representing the dependency among the block functions. Through analyzing intermediate block values, our framework allows to analyze algorithm behavior not only in the objective space but also at the level of variable representations in the obtained solutions. This capacity is particularly useful for analyzing discrete heuristics in large-scale multi-modal problems, thereby enhancing the practical relevance of benchmark studies. We demonstrate how the proposed approach can inspire the related work in self-adaptation and diversity control in evolutionary algorithms. Moreover, we explain that the proposed benchmark design enables explicit control over problem properties, supporting research in broader domains such as dynamic algorithm configuration and multi-objective optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06973
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Block-Bench: A Framework for Controllable and Transparent Discrete Optimization Benchmarking
Ye, Furong
Neumann, Frank
Bäck, Thomas
van Stein, Niki
Neural and Evolutionary Computing
We present a novel approach for constructing discrete optimization benchmarks that enables fine-grained control over problem properties, and such benchmarks can facilitate analyzing discrete algorithm behaviors. We build benchmark problems based on a set of block functions, where each block function maps a subset of variables to a real value. Problems are instantiated through a set of block functions, weight factors, and an adjacency graph representing the dependency among the block functions. Through analyzing intermediate block values, our framework allows to analyze algorithm behavior not only in the objective space but also at the level of variable representations in the obtained solutions. This capacity is particularly useful for analyzing discrete heuristics in large-scale multi-modal problems, thereby enhancing the practical relevance of benchmark studies. We demonstrate how the proposed approach can inspire the related work in self-adaptation and diversity control in evolutionary algorithms. Moreover, we explain that the proposed benchmark design enables explicit control over problem properties, supporting research in broader domains such as dynamic algorithm configuration and multi-objective optimization.
title Block-Bench: A Framework for Controllable and Transparent Discrete Optimization Benchmarking
topic Neural and Evolutionary Computing
url https://arxiv.org/abs/2604.06973