K-Nearest Neighbors Algorithm: A Clear Explanation with Examples and Math

What is k-nearest Neighbors Algorithm? In this article, we will delve into the k-nearest Neighbors Algorithm, or KNN. KNN is a supervised machine learning algorithm employed for both classification and regression tasks. It operates on a straightforward and intuitive principle—the principle of proximity. The underlying concept is that similar things…

Understanding Data Science: Definition, History, and Necessity

What is data science? Data science is an interdisciplinary field that involves extracting insights and knowledge from data using various statistical, computational, and machine learning techniques. It involves collecting, cleaning, processing, and analyzing large and complex datasets to identify patterns, trends, and correlations that can be used to make informed…

Using the Reduced Basis Method (RBM) to Efficiently Solve Both Differential Equations and Reduce Dimensionality in Scientific Simulations

Introduction to the Reduced Basis (RB) Method The Reduced Basis (RB) Method is a mathematical tool that has been gaining widespread popularity in recent years. It is a model order reduction approach that allows for the efficient yet reliable approximation of input-output relationships induced by parametrized partial differential equations. This…