Summary#

Hands-on experience implementing core data science algorithms from scratch in R. Proficient in linear algebra techniques including SVD, QR factorization, Gram-Schmidt orthonormalization, eigenvalue analysis, and pseudo-inverse computation. Applied PCA for dimensionality reduction and implemented graph algorithms (Dijkstra’s shortest path, Markov chains) and regression methods (least squares, genetic algorithm optimization).

Related Projects#

• Country Data Analysis
• Gram-Schmidt and QR Factorization
• Singular Value Decomposition and Pseudo-Inverse
• Markov Chains
• Least Squares Problem
• Line of Best Fit
• University Graph Analysis