Principal Component Analysis (PCA) is an unsupervised learning algorithms and it is mainly used for dimensionality reduction, lossy data compression and feature extraction. It is the mostly used unsupervised learning algorithm in the field of Machine Learning. In this video tutorial, after reviewing the theoretical foundations of Principal Component Analysis (PCA), this method is implemented step-by-step in Python and MATLAB. ...

In this video tutorial, “Numerical Computations in MATLAB” has been reviewed. In fact, the built-in capabilities of MATLAB are used to perform numerical computations, which are very useful in enormous fields of applied science and engineering, including: Root finding and equation solving Solving system of equations Eigenvalues, eigenvectors and eigendecomposition Singular Value Decomposition Interpolation, curve fitting and surface modeling Numerical ...

In this video tutorial, “Optimization” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Three sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Linear Programming and Mixed-Integer LP (YouTube) Section 2: Quadratic Programming (YouTube) Section 3: ...

In this video tutorial, “Numerical Solution of Differential Equations” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Three sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Solving Ordinary Differential Equations (YouTube) Section 2: Solving Boundary ...

In this video tutorial, the way of working with “Polynomials” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online This video tutorial are available on YouTube and it is embedded into this page. Video File Working with Polynomials (YouTube)   Citing This Work If you wish, you can cite this ...

In this video tutorial, “Integration and Differentiation” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Four sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Numerical Integration using integral and quadgk (YouTube) Section 2: Double and ...

In this video tutorial, “Interpolation” has been reviewed and implemented using MATLAB. Watch Online Five sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Polynomial Fitting using polyfit (YouTube) Section 2: Interpolation Using interp1 to interpn (YouTube) Section 3: Interpolation Using interpft (YouTube) Section 4: Interpolation using ...

In this video tutorial, “Eigenvalues and Eigenvectors”  and “Singular Value Decomposition” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Two sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Eigenvalues and Eigenvectors (ِYouTube) Section 2: Singular Value ...

In this video tutorial, “Root Finding Methods” has been reviewed and implemented using MATLAB. For watching full course of Numerical Computations, visit this page. Watch Online Four sections of this video tutorial are available on YouTube and they are embedded into this page as playlist. Video Files Section 1: Finding roots of polynomials using roots (ِYouTube) Section 2: Finding roots ...

In this video tutorial, the theory of Runge-Kutta Method (RK4) for numerical solution of ordinary differential equations (ODEs), is discussed and then implemented using MATLAB and Python from scratch. As an example, the well-know Lotka-Volterra model (aka. the Predator-Prey model) is numerically simulated and solved using Runge-Kutta 4th order (RK4), in both languages, Python and MATLAB. After completing this tutorial, ...