02933nam0 22003491i 450 UON0052308820240405092615.943978-30-307-6976-520240216d2021 |0itac50 baengCH|||| |||||Multivariate data analysis on matrix manifolds (with Manopt)Nickolay Trendafilov, Michele GalloChamCHSpringer2021XX, 450 p.23 cm.This graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA problems as optimization problems on matrix manifolds defined by the MDA model parameters, allowing them to be solved using (free) optimization software Manopt. The book includes numerous in-text examples as well as Manopt codes and software guides, which can be applied directly or used as templates for solving similar and new problems. The first two chapters provide an overview and essential background for studying MDA, giving basic information and notations. Next, it considers several sets of matrices routinely used in MDA as parameter spaces, along with their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt complete the MDA prerequisite. The remaining chapters study individual MDA techniques in depth. The number ofexercises complement the main text with additional information and occasionally involve open and/or challenging research questions. Suitable fields include computational statistics, data analysis, data mining and data science, as well as theoretical computer science, machine learning and optimization. It is assumed that the readers have some familiarity with MDA and some experience with matrix analysis, computing, and optimization.001UON005238502001 Springer series in the Data Sciences.Analisi multivariataMetodiUONC034747FIAnalisi statistica multivariataUONC034757FIStatistica matematicaUONC039315FICHChamUONL005304310Statistica21TrendafilovNickolayUONV295139848301GalloMicheleUONV295138497553SpringerUONV283843650ITSOL20250711RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00523088SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI 2.0 0540 SI 50930 5 0540 BuonoSIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI2024200 1J 20240216Bolla n. 55 del 14.3.2024. Multivariate Data Analysis on Matrix Manifolds4153349UNIOR