Convolutional optimization with convex kernel and power lift

Fuente: arXiv
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Autore principale: Lu, Zhipeng
Natura: Preprint
Pubblicazione: 2025
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author Lu, Zhipeng
author_facet Lu, Zhipeng
contents We focus on establishing the foundational paradigm of a novel optimization theory based on convolution with convex kernels. Our goal is to devise a morally deterministic model of locating the global optima of an arbitrary function, which is distinguished from most commonly used statistical models. Limited preliminary numerical results are provided to test the efficiency of some specific algorithms derived from our paradigm, which we hope to stimulate further practical interest.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22135
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Convolutional optimization with convex kernel and power lift
Lu, Zhipeng
Optimization and Control
Computational Engineering, Finance, and Science
Computation and Language
We focus on establishing the foundational paradigm of a novel optimization theory based on convolution with convex kernels. Our goal is to devise a morally deterministic model of locating the global optima of an arbitrary function, which is distinguished from most commonly used statistical models. Limited preliminary numerical results are provided to test the efficiency of some specific algorithms derived from our paradigm, which we hope to stimulate further practical interest.
title Convolutional optimization with convex kernel and power lift
topic Optimization and Control
Computational Engineering, Finance, and Science
Computation and Language
url https://arxiv.org/abs/2503.22135