机器学习数学基础.pdf
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老夫的少女心
2025-11-13
Linear
Systems
Orthogonal
Product
Basis
Exercises
Spaces
Furthe
Reading
Mathe
8.8 MB
Mathematics for Machine Learning
Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong
Contents
List of illustrations iv
Foreword 1
Part I Mathematical Foundations 9
1 Introduction and Motivation 11
1.1 Finding Words for Intuitions 12
1.2 Two Ways to Read this Book 13
1.3 Exercises and Feedback 16
2 Linear Algebra 17
2.1 Systems of Linear Equations 19
2.2 Matrices 22
2.3 Solving Systems of Linear Equations 27
2.4 Vector Spaces 35
2.5 Linear Independence 40
2.6 Basis and Rank 44
2.7 Linear Mappings 48
2.8 Affine Spaces 61
2.9 Further Reading 63
Exercises 63
3 Analytic Geometry 70
3.1 Norms 71
3.2 Inner Products 72
3.3 Lengths and Distances 75
3.4 Angles and Orthogonality 76
3.5 Orthonormal Basis 78
3.6 Orthogonal Complement 79
3.7 Inner Product of Functions 80
3.8 Orthogonal Projections 81
3.9 Rotations 91
3.10 Further Reading 94
Exercises 95
4 Matrix Decompositions 98
i
Draft (March 15, 2019) of “Mathematics for Machine Learning” c©2019 by Marc Pete
Linear/Systems/Orthogonal/Product/Basis/Exercises/Spaces/Furthe/Reading/Mathe/
Linear/Systems/Orthogonal/Product/Basis/Exercises/Spaces/Furthe/Reading/Mathe/
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