This project focuses on implementing Liverage Score Sampling using Singular Value Decomposition (SVD) in C/C++. Liverage Score Sampling is a technique used for selecting representative samples from large datasets efficiently. In this project, we utilize various algorithms including Bairstow algorithm, Jacobi algorithm, and Gaussian elimination to perform the necessary calculations.
Bairstow Algorithm for Characteristic Equation: Bairstow algorithm is employed to calculate the characteristic equation of eigenvalues, which forms the basis for further computations.
Jacobi Algorithm for Eigenvalue and Eigenvector Calculation: Jacobi algorithm is utilized to compute eigenvalues and eigenvectors of the given dataset.
Gaussian Elimination for Linear Equation Solving: Gaussian elimination method is employed to solve linear equations encountered during the computation process.
SVD Calculation: Singular Value Decomposition is performed to decompose the dataset into singular vectors and singular values, enabling efficient manipulation and analysis.
Liverage Score Sampling: Liverage Score Sampling technique is implemented to select a subset of representative samples from the dataset based on their Liverage scores.
Understand the Bairstow algorithm for solving polynomial equations.
Learn Jacobi algorithm for eigenvalue and eigenvector computation.
Gain insights into Gaussian elimination method for solving linear equations.
Explore Singular Value Decomposition (SVD) for data manipulation and analysis.
Learn Liverage Score Sampling technique for efficient dataset sampling.
bairstow.cpp: C/C++ code implementing Bairstow algorithm for characteristic equation calculation.
jacobi.cpp: C/C++ code implementing Jacobi algorithm for eigenvalue and eigenvector computation.
gaussian_elimination.cpp: C/C++ code implementing Gaussian elimination method for linear equation solving.
svd.cpp: C/C++ code implementing Singular Value Decomposition (SVD).
liverage_score_sampling.cpp: C/C++ code implementing Liverage Score Sampling using SVD.
Compile the C/C++ files using a compatible compiler.
Execute the compiled binaries to perform specific tasks such as characteristic equation calculation, eigenvalue/eigenvector computation, Gaussian elimination, SVD calculation, and Liverage Score Sampling.