GitHub - vinayshanbhag/math: linear algebra,math concepts and applications

To explore mathematical concepts behind machine learning algorithms and understand their inner working. Code is intentionally sub-optimal.

The Discrete Cosine Transform: Understanding the Discrete Cosine Transform (DCT)

Expectation–Maximization in Gaussian Mixture models: Expectation–Maximization in 1D Gaussian Mixture model using numpy

k-means clustering: Explore the math behind k-means, an unsupervised clustering algorithm, and understand its limitations.

Univariate Linear Regression: Univariate Linear Regression in numpy

Affine Transformations: Visualizing affine transformations in numpy

Convolution Kernels: Convolution matrices in image filtering applications

Eigen Decomposition: Eigen Values and Vectors

Principal Component Analysis: Principal Component analysis with numpy

Linear Discriminant Analysis: Linear Discriminant Analysis with numpy

Fourier Analysis: Fourier analysis with numpy and scipy

Norm: Euclidean, Taxicab and other vector norms

Projection Profile: Correcting document skew for imaging and machine learning applications

Prime Spirals: Visualizing prime numbers on a polar plot (Ulam spirals). 3blue1brown's video at https://www.youtube.com/watch?v=EK32jo7i5LQ&feature=share

Weierstrass Function: A pathological real valued function that is continuous everywhere, yet differentiable nowhere

Interpolation: Interpolation using scipy.interpolate

LaTeX: LaTeX markdown quick reference for use in these notebooks

Name		Name	Last commit message	Last commit date
Latest commit History 113 Commits
256px-Colosseo.jpg		256px-Colosseo.jpg
Affine_Transformations.ipynb		Affine_Transformations.ipynb
Convolution_Kernels.ipynb		Convolution_Kernels.ipynb
DCT.mp4		DCT.mp4
Discrete_Cosine_Transform.ipynb		Discrete_Cosine_Transform.ipynb
EM.gif		EM.gif
EM.mp4		EM.mp4
Eigen_Vectors.ipynb		Eigen_Vectors.ipynb
Expectation_Maximization.ipynb		Expectation_Maximization.ipynb
File_000.jpeg		File_000.jpeg
Fourier_Analysis.ipynb		Fourier_Analysis.ipynb
Interpolation.ipynb		Interpolation.ipynb
K_means.ipynb		K_means.ipynb
Latex_Quick_Reference.ipynb		Latex_Quick_Reference.ipynb
Linear_Discriminant_Analysis.ipynb		Linear_Discriminant_Analysis.ipynb
Norm.ipynb		Norm.ipynb
Principal_Component_Analysis.ipynb		Principal_Component_Analysis.ipynb
ProjectionProfile.ipynb		ProjectionProfile.ipynb
README.md		README.md
Univariate_Linear_Regression.ipynb		Univariate_Linear_Regression.ipynb
Weierstrass.ipynb		Weierstrass.ipynb
corrected.png		corrected.png
multi-layer_perceptron.dot		multi-layer_perceptron.dot
multi-layer_perceptron.png		multi-layer_perceptron.png
neural_network.ipynb		neural_network.ipynb
perceptron.dot		perceptron.dot
perceptron.png		perceptron.png
prime_spiral.ipynb		prime_spiral.ipynb
rf_mixers.ipynb		rf_mixers.ipynb
sample-devanagari.png		sample-devanagari.png

vinayshanbhag/math