{"title":"Two-Phase Optimization for PINN Training","authors":"Dimary Moreno López","doi":"arxiv-2409.07296","DOIUrl":null,"url":null,"abstract":"This work presents an algorithm for training Neural Networks where the loss\nfunction can be decomposed into two non-negative terms to be minimized. The\nproposed method is an adaptation of Inexact Restoration algorithms,\nconstituting a two-phase method that imposes descent conditions. Some\nperformance tests are carried out in PINN training.","PeriodicalId":501286,"journal":{"name":"arXiv - MATH - Optimization and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Optimization and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07296","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This work presents an algorithm for training Neural Networks where the loss
function can be decomposed into two non-negative terms to be minimized. The
proposed method is an adaptation of Inexact Restoration algorithms,
constituting a two-phase method that imposes descent conditions. Some
performance tests are carried out in PINN training.