Quanta Magazine

The AI Revolution in Math Has Arrived

Those changes will be contested, in math as in other academic disciplines wrestling with AI’s impact. As AI models become a ...
Opinion

How do different data preprocessing techniques affect performance of machine learning models on prediction tasks?

Artificial intelligence (AI) and machine learning (ML) systems have become central to modern data-driven decision-making. They are now widely applied in fields as diverse as healthcare, finance, ...
IEEE

Fractional Gradient Descent With Matrix Stepsizes for Non-Convex Optimization

Abstract: Fractional derivatives generalize integer-order derivatives, making them relevant for studying their convergence in descent-based optimization algorithms. However, existing convergence ...
Scientific Research Publishing

Vanishing Gradients in an Artificial Deep Neural Network: The Impact of Activation Functions and Optimization Techniques ()

Artificial deep neural networks (ADNNs) have become a cornerstone of modern machine learning, but they are not immune to challenges. One of the most significant problems plaguing ADNNs is the ...
Scientific Research Publishing

Solodov, M. (2007) An Explicit Descent Method for Bilevel Convex Optimization. Journal of Convex Analysis, 14, 227-237.

ABSTRACT: In this paper, we consider a more general bi-level optimization problem, where the inner objective function is consisted of three convex functions, involving a smooth and two non-smooth ...