{"title":"Generalizing neural network verification to the family of piece-wise linear activation functions","authors":"László Antal, Erika Ábrahám, Hana Masara","doi":"10.1016/j.scico.2025.103269","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we extend an available neural network verification technique to support the full class of <em>piece-wise linear</em> activation functions. Furthermore, we extend the algorithms, which provide in their original form exact, respectively, over-approximative results for bounded input sets represented as star sets, to allow also <em>unbounded</em> input sets. We implemented our algorithms and demonstrate their effectiveness on some case studies.</div></div>","PeriodicalId":49561,"journal":{"name":"Science of Computer Programming","volume":"243 ","pages":"Article 103269"},"PeriodicalIF":1.5000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science of Computer Programming","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167642325000085","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we extend an available neural network verification technique to support the full class of piece-wise linear activation functions. Furthermore, we extend the algorithms, which provide in their original form exact, respectively, over-approximative results for bounded input sets represented as star sets, to allow also unbounded input sets. We implemented our algorithms and demonstrate their effectiveness on some case studies.
期刊介绍：
Science of Computer Programming is dedicated to the distribution of research results in the areas of software systems development, use and maintenance, including the software aspects of hardware design.
The journal has a wide scope ranging from the many facets of methodological foundations to the details of technical issues andthe aspects of industrial practice.
The subjects of interest to SCP cover the entire spectrum of methods for the entire life cycle of software systems, including
• Requirements, specification, design, validation, verification, coding, testing, maintenance, metrics and renovation of software;
• Design, implementation and evaluation of programming languages;
• Programming environments, development tools, visualisation and animation;
• Management of the development process;
• Human factors in software, software for social interaction, software for social computing;
• Cyber physical systems, and software for the interaction between the physical and the machine;
• Software aspects of infrastructure services, system administration, and network management.
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