The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, ...

Important Topics: The GATE 2025 Data Science and Artificial Intelligence (DA) exam is a specialised paper introduced to ...

The Graduate Aptitude Test in Engineering (GATE) 2025 is one of the most competitive exams for engineering and science graduates aspiring for higher studies and PSU recruitment. With the exam ...

We all know that calculus courses such as 18.01 and 18.02 are univariate and vector calculus, respectively. Modern applications such as machine learning and large-scale optimization require the next ...

The Chebyshev Accelerated Subspace Eigensolver (ChASE) is a modern and scalable library based on subspace iteration with polynomial acceleration to solve dense Hermitian (Symmetric) algebraic ...

There are a significant number of words, phrases and acronyms that appear when talking about race and ethnicity which often change depending on the context of the conversation. Language is ...

Abstract: This letter proposes a novel method to extract singlemode feedback signals using a modal eigenvalue realignment (MER) based approach. The single-mode feedback signals those contain ...

However, in a diffusion map, we want to scale the eigenvectors to reflect their respective importance. This importance is inversely proportional to the corresponding eigenvalue of L. Laplacian ...

Brian Beers is a digital editor, writer, Emmy-nominated producer, and content expert with 15+ years of experience writing about corporate finance & accounting, fundamental analysis, and investing ...

The weight (or amplitude) of each eigenvector changes over time with a timescale determined by the eigenvalue corresponding to the eigenvector. The network architecture determines the eigenvectors and ...