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Sponsored Design Multi-Agent AI Systems Using MCP and A2A: Engineer your own Pyt Design Multi-Agent AI Systems Using MCP and A2A: Engineer your own Pyt

Author

Lennart Schäpermeier

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Book Open access Jul 2026

Hot off the Press: An Evolutionary Approach for the Computation of ϵ-Locally Optimal Solutions for Multi-Objective Multimodal Optimization

Here we briefly summarize the main findings of the above-mentioned paper by Hernández et al., 2024 [3]. In this paper, we address the computation of finite-size approximations of the set of ϵ-locally optimal solutions of a multi-objective optimization problem (MOP), a problem relevant in multi-objective multimodal optimization (MMMO). We propose a bounded archiver, ArchiveUpdateLQ,ϵB, the algorithm LQ,ϵMOEA, which directly uses this archiver in selection, and a hybrid with a multi-objective continuation method for improved accuracy when gradient information is available. Numerical results demonstrate the benefits of the proposed methods.

C. H. Hernández Castellanos, A. Rodríguez-Fernandez, Lennart Schäpermeier et al. · 0 citations
Book Open access Jul 2026

Hot off the Press: BONO-Bench: A Comprehensive Test Suite for Bi-objective Numerical Optimization with Traceable Pareto Sets

The evaluation of heuristic optimizers on test problems, better known as benchmarking, is a cornerstone of research in multiobjective optimization. However, many frequently used test problems either feature a limited degree of optimization challenges or have poorly understood reference solutions. Here, we present an overview of BONO-Bench [5], a recently proposed problem generator and benchmark set for bi-objective numerical optimization. Building on convex-quadratic problems, it features diverse challenges ranging from different levels of conditioning, shapes of Pareto set and front as well as plateaus to different structured and unstructured multimodality patterns. Furthermore, we enable best practices for empirical runtime analysis of optimizers using reference solutions that can be approximated to an arbitrary degree, resulting in precise target values for the hypervolume and exact R2 indicators.

Lennart Schäpermeier, P. Kerschke · 0 citations