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portada Big Data Analysis. High Dimensional Probability, Statistics, Optimization, and Inference
Type
Physical Book
Author
Year
2025
Pages
170
Format
Hardcover
Dimensions
23.50 x 15.50 cm
ISBN13
9783032031600

Big Data Analysis. High Dimensional Probability, Statistics, Optimization, and Inference

Junwei Lu (Author) · Springer Nature Switzerland AG · Hardcover

Big Data Analysis. High Dimensional Probability, Statistics, Optimization, and Inference - Junwei Lu

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Synopsis "Big Data Analysis. High Dimensional Probability, Statistics, Optimization, and Inference"

This book covers the methods and theory of high dimensional probability, statistics, large-scale optimization, and inference. We aim to quickly bring readers to the frontier and interdisciplinary areas of statistics, optimization, probability, and machine learning. This book covers topics in:High dimensional probability, Concentration inequality, Sub-Gaussian random variables, Chernoff bounds, Hoeffding's inequality, Maximal inequalities, High dimensional linear regression, Ordinary least square, Compressed sensing, Lasso, Variations of Lasso including group lasso, fused lasso, adaptive lasso, etc., General high dimensional M- estimators, Variable selection consistency, High dimensional Optimization, Convex geometry, Lagrange duality, Gradient descent, Proximal gradient descent, LARS, ADMM, Mirror descent, Stochastic optimization, Large-Scale Inference, Linear model hypothesis testing, high dimensional inference, Chi-square test, maximal test, and Higher criticism, False discovery rate control.

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