ppanares2/Approximation-with-MATLAB

MATLAB code associated to 2022's paper "Approximation Techniques in MATLAB" about: function approximation with orthogonal polynomials, wavelet and multiresolution analysis, scattered interpolation with radial basis functions, surrogate optimization, kernelized support vector machines, universal approximators with neural networks, using neural network to approximate an Extended Kalman Filter (for battery state of charge estimation).

Approximation-Techniques-with-MATLAB®

MATLAB® code associated to 2022's paper entitled "Approximation Techniques with MATLAB®" about:

• Function approximation
  • uniform approximation with Bernstein polynomials and Bézier curves
  • L^2-approximation with Jacobi orthogonal polynomials and Fourier series
• Wavelets Analysis in L^2(R)
  • Continuous and Discrete Wavelet Transform
  • Multiresolution Analysis
• Radial Basis Functions
  • Scattered data interpolation
  • Surrogate Global Optimization with cubic RBF
  • Support Vector Machines with RBF kernels
• Neural Networks
  • universal approximators
  • approximation of the dynamic state of an Extended Kalman Filter.