1 A Compressed Overview of Sparsity
2 2016 AIAA AVIATION Forum: Flow Control - Steve Brunton
3 Singular Value Decomposition (SVD): Overview
4 Singular Value Decomposition (SVD): Mathematical Overview
5 Singular Value Decomposition (SVD): Matrix Approximation
6 Singular Value Decomposition (SVD): Dominant Correlations
7 The Frobenius Norm for Matrices
8 SVD Method of Snapshots
9 Matrix Completion and the Netflix Prize
10 Unitary Transformations
11 Linear Systems of Equations, Least Squares Regression, Pseudoinverse
12 Least Squares Regression and the SVD
13 Linear Systems of Equations
14 Linear Regression
15 Principal Component Analysis (PCA)
16 SVD and Optimal Truncation
17 SVD: Image Compression [Matlab]
18 SVD: Image Compression [Python]
19 Unitary Transformations and the SVD [Matlab]
20 Unitary Transformations and the SVD [Python]
21 Linear Regression 1 [Matlab]
22 Linear Regression 2 [Matlab]
23 Linear Regression 1 [Python]
24 Linear Regression 2 [Python]
25 Linear Regression 3 [Python]
26 SVD and Alignment: A Cautionary Tale
27 Principal Component Analysis (PCA) [Matlab]
28 Principal Component Analysis (PCA) 1 [Python]
29 Principal Component Analysis (PCA) 2 [Python]
30 SVD: Eigenfaces 1 [Matlab]
31 SVD: Eigenfaces 2 [Matlab]
32 SVD: Eigenfaces 3 [Matlab]
33 SVD: Eigenfaces 4 [Matlab]
34 SVD: Eigen Action Heros [Matlab]
35 SVD: Eigenfaces 3 [Python]
36 SVD: Eigenfaces 2 [Python]
37 SVD: Eigenfaces 1 [Python]
38 SVD: Optimal Truncation [Matlab]
39 SVD: Optimal Truncation [Python]
40 SVD: Importance of Alignment [Python]
41 SVD: Importance of Alignment [Matlab]
42 Randomized SVD Code [Matlab]
43 Randomized SVD Code [Python]
44 Randomized Singular Value Decomposition (SVD)
45 Randomized SVD: Power Iterations and Oversampling
46 Fourier Analysis: Overview
47 Fourier Series: Part 1
48 Fourier Series: Part 2
49 Inner Products in Hilbert Space
50 Complex Fourier Series
51 Fourier Series [Matlab]
52 Fourier Series [Python]
53 Fourier Series and Gibbs Phenomena [Matlab]
54 Fourier Series and Gibbs Phenomena [Python]
55 The Fourier Transform
56 The Fourier Transform and Derivatives
57 The Fourier Transform and Convolution Integrals
58 Parseval's Theorem
59 Solving the Heat Equation with the Fourier Transform
60 The Discrete Fourier Transform (DFT)
61 Computing the DFT Matrix
62 The Fast Fourier Transform (FFT)
63 The Fast Fourier Transform Algorithm
64 Denoising Data with FFT [Matlab]
65 Denoising Data with FFT [Python]
66 Computing Derivatives with FFT [Matlab]
67 Computing Derivatives with FFT [Python]
68 Solving PDEs with the FFT [Matlab]
69 Solving PDEs with the FFT [Python]
70 Why images are compressible: The Vastness of Image Space
71 What is Sparsity?
72 Sparsity and Parsimonious Models: Everything should be made as simple as possible, but no simpler
73 Compressed Sensing: Overview
74 Compressed Sensing: Mathematical Formulation
75 Compressed Sensing: When It Works
76 Sparsity and the L1 Norm
77 Solving PDEs with the FFT, Part 2 [Matlab]
78 Solving PDEs with the FFT, Part 2 [Python]
79 The Spectrogram and the Gabor Transform
80 Spectrogram Examples [Matlab]
81 Spectrogram Examples [Python]
82 Uncertainty Principles and the Fourier Transform
83 Wavelets and Multiresolution Analysis
84 Image Compression and the FFT
85 Sparse Sensor Placement Optimization for Reconstruction
86 Sparse Sensor Placement Optimization for Classification
87 Sparse Representation (for classification) with examples!
88 Image Compression with Wavelets (Examples in Python)
89 Image Compression with the FFT (Examples in Matlab)
90 Image Compression and Wavelets (Examples in Matlab)
91 Image Compression and the FFT (Examples in Python)
92 Beating Nyquist with Compressed Sensing, part 2
93 Underdetermined systems and compressed sensing [Matlab]
94 Underdetermined systems and compressed sensing [Python]
95 Beating Nyquist with Compressed Sensing
96 Robust Regression with the L1 Norm
97 Robust Regression with the L1 Norm [Matlab]
98 Robust Regression with the L1 Norm [Python]
99 Beating Nyquist with Compressed Sensing, in Python
100 PySINDy: A Python Library for Model Discovery
101 The Laplace Transform: A Generalized Fourier Transform
102 Laplace Transforms and Differential Equations
103 Laplace Transform Examples
104 Sparsity and Compression: An Overview
105 Data-Driven Resolvent Analysis