{"product_id":"multivariate-data-analysis-on-matrix-manifolds-with-manopt-9783030769765","title":"Multivariate Data Analysis on Matrix Manifolds: (with Manopt)","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003eThis textbook provides a unified presentation and solution of multivariate data analysis (MDA) techniques, treating them as optimization problems on matrix manifolds. It includes examples, Manopt codes, and software guides for direct application and problem-solving. Suitable for computational statistics, data analysis, data mining, and optimization, with prerequisites in MDA, matrix analysis, computing, and optimization. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 450 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 16 September 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThis comprehensive textbook, designed for advanced students and researchers, offers a unified presentation and comprehensive solution of various commonly employed techniques for multivariate data analysis (MDA). Unlike similar texts, it treats MDA problems as optimization challenges on matrix manifolds defined by the MDA model parameters, enabling their efficient resolution through the use of free optimization software, Manopt. The book is enriched with numerous in-text examples, along with comprehensive Manopt codes and software guides, which serve as practical tools for applying these techniques or serving as templates for solving similar and novel problems.\u003cbr\u003e\u003cbr\u003eIn the first two chapters, the book provides an overview and essential background for studying MDA, offering a foundational understanding of key concepts and notations. It then delves into several sets of matrices commonly used in MDA as parameter spaces, exploring their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt completes the prerequisite knowledge for MDA.\u003cbr\u003e\u003cbr\u003eThe remaining chapters delve into individual MDA techniques in depth, providing comprehensive explanations and practical applications. Each chapter includes a substantial number of exercises, complementing the main text with additional information and occasionally involving open-ended and challenging research questions. This textbook is suitable for practitioners in computational statistics, data analysis, data mining, data science, theoretical computer science, machine learning, and optimization. It assumes a basic familiarity with MDA and some experience with matrix analysis, computing, and optimization.\u003cbr\u003e\u003cbr\u003eBy presenting MDA as optimization problems on matrix manifolds, this textbook offers a novel and effective approach to analyzing and interpreting multivariate data, enabling researchers and practitioners to extract valuable insights and make informed decisions based on complex datasets.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 718g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030769765\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2021\u003c\/p\u003e","brand":"Nickolay Trendafilov,Michele Gallo","offers":[{"title":"Paperback \/ softback","offer_id":44249549439226,"sku":"9783030769765","price":37.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_5cd8de71-9a1b-420a-bd64-ac1133e938cf.jpg?v=1684840638","url":"https:\/\/shulphink.com\/products\/multivariate-data-analysis-on-matrix-manifolds-with-manopt-9783030769765","provider":"Shulph Ink","version":"1.0","type":"link"}