Statistical Learning with Sparsity
The Lasso and Generalizations
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ISBN-13:
9781498712163
Veröffentl:
2015
Erscheinungsdatum:
07.05.2015
Seiten:
367
Autor:
Martin Wainwright
Gewicht:
760 g
Format:
241x159x22 mm
Sprache:
Deutsch
Beschreibung:
In this age of big data, the number of features measured on a person or object can be large and might be larger than the number of observations. This book shows how the sparsity assumption allows us to tackle these problems and extract useful and reproducible patterns from big datasets. The authors cover the lasso for linear regression, generalized penalties, numerical methods for optimization, statistical inference methods for fitted (lasso) models, sparse multivariate analysis, graphical models, compressed sensing, and much more.
Introduction. The Lasso for Linear Models. Generalized Linear Models. Generalizations of the Lasso Penalty. Optimization Methods. Statistical Inference. Matrix Decompositions, Approximations, and Completion. Sparse Multivariate Methods. Graphs and Model Selection. Signal Approximation and Compressed Sensing. Theoretical Results for the Lasso. Bibliography. Author Index. Index.
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