There was an error while loading. Please reload this page. In early 2025, the rise in the rate of popular cryptocurrencies had a significant impact on financial ...

This course is available on the BSc in Data Science, BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with Economics, BSc in Mathematics, Statistics and ...

Abstract: This paper considers the discrete-time version of Altafini's model for opinion dynamics in which the interaction among a group of agents is described by a time-varying signed digraph.

Abstract: This article investigates some new exponential stability criteria of discrete-time switched systems with both disturbance and impulse. By introducing a novel multiple switched time-varying ...

Master the Toolkit of AI and Machine Learning. Mathematics for Machine Learning and Data Science is a beginner-friendly Specialization where you’ll learn the fundamental mathematics toolkit of machine ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

What about ChatGPT and related large AI Systems? How will they impact us all? As a longtime researcher in AI, I'm excited about the ways in which these new AI systems can improve our healthcare, ...

We study the fractional Laplacian (−Δ)σ/2 (Δ) σ / 2 on the n n -dimensional torus Tn 𝕋 n, n ≥ 1 n ≥ 1. First, we present a general extension problem that describes any fractional power Lγ L γ, γ> 0 ...