Makine Öğrenmesi Perde 1: Matematiksel Altyapı

  Mutlaka           İyi Olur         İleri seviye   

Zekânın Matematikle İmtihânı ( Resim kaynağı )

Episot 1.1 - Temel Matematik

Çevrimiçi Ders

Data Science Math Skills - Daniel Egger ve Paul Bendich, Duke University, coursera

Episot 1.2 - Lineer Cebir

Matrix Operations, Projections, Eigenvalues & Eigenvectors, Vector Spaces and Norms Principal Component Analysis (PCA), Singular Value Decomposition (SVD), Eigendecomposition of a matrix, LU Decomposition, QR Decomposition/Factorization, Symmetric Matrices, Orthogonalization & Orthonormalization,

Yazı-Makale

Vector Calculus	Kalid Azad - BetterExplained - Yazı dizisi
A Programmer’s Intuition for Matrix Multiplication	Kalid Azad - BetterExplained
An Intuitive Guide to Linear Algebra	Kalid Azad - BetterExplained
We Recommend a Singular Value Decomposition	David Austin - Grand Valley State University - American Mathematical Society

Kitaplar

Introduction to Linear Algebra	Gilbert Strang
Coding The Matrix: Linear Algebra Through Computer Science Applications	Philip N. Klein
Linear Algebra An Introduction to Mathematical Discourse	Wikibooks

Çevrimiçi Dersler

Linear Algebra	Sal Khan - Khan Academy
Linear Algebra	Gilbert Strang - MIT
Linear Algebra - Foundations to Frontiers	Maggie Myers ve Robert van de Geijn - The University of Texas at Austin - edX
Differential Equations and Linear Algebra	Gilbert Strang - Mathworks

Ders Notları

EE263: Introduction to Linear Dynamical Systems	Kunal Shah - Stanford University

Episot 1.3 Fonksiyonel Analiz

Kitaplar

Analysis Now	Gert K. Pedersen
A Course in Functional Analysis	John B. Conway

Ders İçeriği

Applied Functional Analysis and Machine Learning

Gianluigi Pillonetto

Episot 1.4 Gerçel ve Karmaşık Analiz

Sets and Sequences, Topology, Metric Spaces, Single-Valued and Continuous Functions, Limits, Cauchy Kernel, Fourier Transforms

Episot 1.5 Çok Değişkenli Analiz

Differential and Integral Calculus, Partial Derivatives, Vector-Values Functions, Directional Gradient, Hessian, Jacobian, Laplacian and Lagragian Distribution.

Multivariable Calculus - Khan Academy

Episot 1.6 Makine Öğrenmesi için Matematik

Math for Machine Learning - Hal Daume (ders notları)

Mathematics of Machine Learning - Philippe Rigollet - MIT

Sahne 1.10.1 -  Makine Öğrenmesi için Lineer Cebir

Linear Algebra for machine learning - David Barber - University College London  - Video

Machine Learning - 03. Linear Algebra Review - Andrew Ng - Coursera - Ders Videosu

Undergraduate machine learning 14: Linear algebra revision for machine learning and web search - Video

Linear Algebra - Deep Learning - Kitap bölümü