The content discusses the application of the "Pareto-Laplace" integral transform framework to optimization problems. It introduces the framework, its geometric, statistical, and physical representations, and its computational approaches. The article explores the structure of the Pareto-Laplace filter, its geometric interpretations, and its implications for design and optimization problems. It also delves into the analysis of moments, transverse geometry, and robustness of near-optimal designs. The illustrative example of linear programming showcases the computation of Z(β) for a two-dimensional problem.
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by Hazhir Aliah... at arxiv.org 03-04-2024
https://arxiv.org/pdf/2403.00631.pdfDeeper Inquiries