{"product_id":"9783032082824","title":"SpringerBriefs in Computer Science","description":"\u003ch1\u003eSpringerBriefs in Computer Science\u003c\/h1\u003e \u003ch2\u003eBallester, Rubén; Casacuberta, Carles; Escalera, Sergio\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp style=\"text-align: justify; text-justify: inter-ideograph;\"\u003eThis book offers a comprehensive presentation of methods from topological data analysis applied to the study of neural network structure and dynamics. Using topology-based tools such as persistent homology and the Mapper algorithm, the authors explore the intricate structures and behaviors of fully connected feedforward and convolutional neural networks. \u003c\/p\u003e\n\u003cp style=\"text-align: justify; text-justify: inter-ideograph;\"\u003eThe authors discuss various strategies for extracting topological information from data and neural networks, synthesizing insights and results from over 40 research articles, including their own contributions to the study of activations in complete neural network graphs. Furthermore, they examine how this topological information can be leveraged to analyze properties of neural networks such as their generalization capacity or expressivity. Practical implications of the use of topological data analysis in deep learning are also discussed, with a focus on areas including adversarial detection and model selection. The authors conclude with a summary of key insights along with a discussion of current challenges and potential future developments in the field.\u003c\/p\u003e\n\u003cp style=\"text-align: justify; text-justify: inter-ideograph;\"\u003eThis monograph is ideally suited for mathematicians with a background in topology who are interested in the applications of topological data analysis in artificial intelligence, as well as for computer scientists seeking to explore the practical use of topological tools in deep learning.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2026-01-03\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783032082824\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-032-08283-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 103\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44480503939212,"sku":"9783032082824","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032082824.jpg?v=1772898049","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032082824","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}