斯坦福大学机器学习复习材料(数学基础).pdf


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2024-04-28
bra Review equation alge Reference Overview Alge Optimization Convex Machine
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CS 229
Machine Learning
(复习材料)
Andrew Ng
Stanford University

Contents
Note1:Linear Algebra Review and Reference 1
Note2:Probability Theory Review for Machine Learning 21
Note3:Convex Optimization Overview 34
Note4:Convex Optimization Overview (cnt’d) 46
Note5:Hidden Markov Models Fundamentals 61
Note6: Gaussian processes 74
Linear Algebra Review and Reference
Zico Kolter
October 16, 2007
1 Basic Concepts and Notation
Linear algebra provides a way of compactly representing and operating on sets of linear
equations. For example, consider the following system of equations:
4x1 − 5x2 = −13
−2x1 + 3x2 = 9 .
This is two equations and two variables, so as you know from high school algebra, you
can find a unique solution for x1 and x2 (unless the equations are somehow degenerate, for
example if the second equation is simply a multiple of the first, but in the case above there
is in fact a unique solution). In ma


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