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Welcome to Mathematical Foundations of Data Science Course website
High Dimensional Spaces
1. High Dimensional Spaces
SAT-Table
N-Queen Problem
Images as high dimensional data
Image Segmentaion
Add coordinates as spatial features to clustering
Brute force search clustering
k-means Clustering
High Dimensional Data & the curse of dimensionality
k-means in high dimensional spaces
kNN in high dimensional spaces
Clustering images
Clustering images by hierarchical clustering
Vector Quantization
Dimensionality Reduction - Part 1
Dimensionality Reduction - Part 2
Bias-Variance Tradeoff
Linear Algebra for DS
2. Linear Algebra
2.1 Scalars, Vectors, Matrices and Tensors
2.2 Multiplying Matrices and Vectors
2.3 Identity and Inverse Matrices
2.4 Linear Dependence and Span
2.5 Norms
2.6 Special Kinds of Matrices and Vectors
2.7 Eigendecomposition
2.8 Singular Value Decomposition
Repository
Open issue
Index
