Видео

7) PCA: dealing with large vectors

6) PCA projection variance

5) PCA summary

4) PCA derivation

3) Linear least squares

2) PCA solution summary

1) PCA overview

4 Cumulative distribution transform (CDT) and 1D optimal transport Project page: www.imagedatascience.com/transport/ Code: github.com/rohdelab/PyTransKit

Codes available at: github.com/rohdelab/PyTransKit

Further reading: www.sciencedirect.com/science/article/abs/pii/S1063520317300076 ieeexplore.ieee.org/document/9099391 www.aimsciences.org/article/doi/10.3934/fods.2022001

Overview of transport transforms tutorial. Relevant websites: www.imagedatascience.com/transport github.com/rohdelab/PyTransKit

1D optimization examples

Intro to 1D optimization

PDE: Wave equation finite differences

PDE: Heat equation finite differences

PDEs: finite difference overview

PDE examples & boundary conditions

Intro to PDEs & nomenclature

Adaptive time stepping

SIR (COVID 19) modeling

Runge-Kutta methods

Higher order ODEs

Intro to Ordinary Differential Equations

Euler's Method

Nonlinear regression, optimization example

Optimization in Matlab

Gradient descent, Newton's method

Intro to Optimization

Univariate root finding