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Jean H Gallier Linear Algebra And Optimization With Applications To (Hardback)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Linear Algebra And Optimization With Applications To Machine Lear
Title
Linear Algebra And Optimization With Applications To Machine Lear
EAN
9789811216565
ISBN
9789811216565
Country/Region of Manufacture
SG
Genre
Science Nature & Math
Topic
Computing & Internet
Release Date
05/12/2020
Release Year
2020

About this product

Product Identifiers

Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-10
9811216568
ISBN-13
9789811216565
eBay Product ID (ePID)
23038779781

Product Key Features

Number of Pages
895 Pages
Publication Name
Linear Algebra and Optimization with Applications to Machine Learning - Volume II: Fundamentals of Optimization Theory with Applications to Machine Learning
Language
English
Subject
Algebra / Linear, Computer Science, General, Optimization
Publication Year
2020
Type
Textbook
Author
Jean H. Gallier, Jocelyn Quaintance
Subject Area
Mathematics, Computers
Format
Hardcover

Dimensions

Item Weight
0 Oz

Additional Product Features

Intended Audience
Trade
LCCN
2020-001727
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
512.5
Synopsis
Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins by discussing preliminary concepts of optimization theory such as metric spaces, derivatives, and the Lagrange multiplier technique for finding extrema of real valued functions. The focus then shifts to the special case of optimizing a linear function over a region determined by affine constraints, namely linear programming. Highlights include careful derivations and applications of the simplex algorithm, the dual-simplex algorithm, and the primal-dual algorithm. The theoretical heart of this book is the mathematically rigorous presentation of various nonlinear optimization methods, including but not limited to gradient decent, the Karush-Kuhn-Tucker (KKT) conditions, Lagrangian duality, alternating direction method of multipliers (ADMM), and the kernel method. These methods are carefully applied to hard margin SVM, soft margin SVM, kernel PCA, ridge regression, lasso regression, and elastic-net regression. Matlab programs implementing these methods are included.
LC Classification Number
QA184.2.G35 2020

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