Generative A.I. chatbots are going down conspiratorial rabbit holes and endorsing wild, mystical belief systems. For some people, conversations with the technology can deeply distort reality. By ...

According to DeepLearning.AI, the concept of eigenvalues and eigenvectors is made intuitive by Serrano Academy, offering insights that can be crucial for trading algorithms and financial modeling.

Recently, in order to find the principal moments of inertia of a large number of rigid bodies, it was necessary to compute the eigenvalues of many real, symmetric 3 × 3 matrices. The available ...

Abstract: This paper presents a novel surface registration technique using the spectrum of the shapes, which can facilitate accurate localization and visualization of non-isometric deformations of the ...

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on a classical ML technique that transforms a dataset into one with fewer columns, useful for creating a graph of ...

Transforming a dataset into one with fewer columns is more complicated than it might seem, explains Dr. James McCaffrey of Microsoft Research in this full-code, step-by-step machine learning tutorial.

IRBLEIGS will find a few eigenvalues and eigenvectors for either the standard eigenvalue problem Ax = lambdax or the generalized eigenvalue problem Ax = lambdaM*x, where A is a sparse Hermitian matrix ...

Abstract: Throughout many scientific and engineering fields, including control theory, quantum mechanics, advanced dynamics, and network theory, a great many important applications rely on the ...