Lagrange Duality
Derive and interpret the dual form of an optimization problem.
- Optimisation 3
- Numerical methods 3
- Interpolation 3
- Least Squares 2
- matplotlib 2
- python 2
- Numerical computing 2
- Nonlinear modeling 1
- Gauss-Newton 1
- Regression 1
- Decision Trees 1
- Numpy 1
- Machine Learning 1
- Integration 1
- Trigonometry 1
- Statistics 1
Optimisation
Quadratic Penalty Algo
Solve constrained optimization problems using your favorite unconstrained solver.
Nonlinear Least Squares
Fit nonlinear models using Gauss-Newton and Levenberg-Marquardt algorithms.
Numerical methods
Newton-Gregory Interpolation
Interpolate equally-spaced data efficiently and discover its connection to Taylor series.
Tanhsinh Quadrature
Tackle tricky integrals with endpoint singularities using a clever variable transformation.
Lagrange Interpolation
Approximate functions using polynomial interpolation without solving linear systems.
Interpolation
Newton-Gregory Interpolation
Interpolate equally-spaced data efficiently and discover its connection to Taylor series.
The AAA Algorithm
Fit rational functions to data with poles and discontinuities where polynomials fail.
Lagrange Interpolation
Approximate functions using polynomial interpolation without solving linear systems.
Least Squares
The AAA Algorithm
Fit rational functions to data with poles and discontinuities where polynomials fail.
Nonlinear Least Squares
Fit nonlinear models using Gauss-Newton and Levenberg-Marquardt algorithms.
matplotlib
Plotting Ellipses
Plot ellipses using conic, quadratic, and parametric representations.
3D Plotting using Non-Rectangular Grids
Create cleaner 3D surface plots using radial and elliptical grids in matplotlib.
python
Plotting Ellipses
Plot ellipses using conic, quadratic, and parametric representations.
3D Plotting using Non-Rectangular Grids
Create cleaner 3D surface plots using radial and elliptical grids in matplotlib.
Numerical computing
BKM
Compute logarithms and exponentials without a floating point unit.
CORDIC
Compute sine, cosine, and exponentials using only addition, subtraction, and bit shifts.
Nonlinear modeling
Nonlinear Least Squares
Fit nonlinear models using Gauss-Newton and Levenberg-Marquardt algorithms.
Gauss-Newton
Nonlinear Least Squares
Fit nonlinear models using Gauss-Newton and Levenberg-Marquardt algorithms.
Regression
Nonlinear Least Squares
Fit nonlinear models using Gauss-Newton and Levenberg-Marquardt algorithms.
Decision Trees
Numpy Regression Trees
Implement a regression tree from scratch using only numpy.
Numpy
Numpy Regression Trees
Implement a regression tree from scratch using only numpy.
Machine Learning
Numpy Regression Trees
Implement a regression tree from scratch using only numpy.
Integration
Tanhsinh Quadrature
Tackle tricky integrals with endpoint singularities using a clever variable transformation.
Trigonometry
CORDIC
Compute sine, cosine, and exponentials using only addition, subtraction, and bit shifts.
Statistics
Chatterjee’s Xi Coefficient
Detect nonlinear relationships that Pearson and Spearman miss.