AI

Optimality vs Completeness: Striking a Balance in Algorithm Design

In computer science, algorithms are essential tools for solving problems efficiently. When designing algorithms, two key concepts to consider are optimality and complexity. Both concepts are related to the efficiency of an algorithm, but they approach efficiency from different perspectives. Optimality refers to the best possible solution to a problem,...

Matrix Factorization

Matrix factorization is an essential technique in linear algebra, which involves decomposing a given matrix into the product of two or more matrices. This technique has numerous applications across various fields, including data analysis, signal processing, machine learning, and computer graphics. Matrix factorization can be understood as a process of...

What is Linear Algebra?

Linear algebra is a branch of mathematics that deals with linear equations, linear transformations, and vector spaces. It plays an important role in various fields, including physics, engineering, computer science, and economics. At its core, linear algebra studies the properties of linear equations and linear systems of equations, which are...