Abstract: In this article, we address a time-varying quadratic optimization problem over a graph under the assumption that the problem shares the same sparsity pattern as the static graph encoding the ...

Add Yahoo as a preferred source to see more of our stories on Google. A new mathematical model of a wormhole suggests that two black holes can be “cut and pasted.” Cut and paste is an official concept ...

Abstract: In this letter, a novel prior physics-driven graph neural network (PPDGNN) is proposed firstly to rapidly compute the far-field scattering in the composite large-scale finite periodic ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

How many atoms are there in the observable universe? Current estimates point to a number we would write as 1 followed by 80 zeroes, or 10 80. If you peered inside each of these atoms and counted their ...

When creating an underlying resource from a Resource Graph Definitions with default variables, and not specifying them in the underlying resource, whenever we change the defaults values in the ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Graph Neural Networks (GNNs) have emerged as powerful tools for predicting material ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Large Language Models (LLMs) like GPT-4, Qwen2, and LLaMA have revolutionized artificial intelligence, particularly in natural language processing. These Transformer-based models, trained on vast ...

In this blog post we discuss the main (‘algebraic’) ideas of term rewriting and how they can be applied to term graph and arbitrary graph (i.e. string diagrams) rewriting. Our group was interested in ...