Abstract: In this article, we propose an efficient numerical method to solve nonlinear filtering (NLF) problems. Specifically, we use the tensor train decomposition method to solve the forward ...

Abstract: Current state-of-the-art solution techniques for solving bilevel optimization problems either assume strong problem regularity criteria or are computationally intractable. In this article, ...

Some of the hardest questions in cosmology begin where the usual math gives up. Push Einstein’s theory far enough back toward ...

Psychology says people who are good with numbers and love mathematics aren't limited to calculations or formulas. Psychology ...

This model solves the governing coupled system of differential equations -- including conductive heat transfer and resin cure kinetics -- by optimizing the parameters of a deep neural network using a ...

We introduce the heat method for solving the single- or multiple-source shortest path problem on both flat and curved domains. A key insight is that distance computation can be split into two stages: ...

The amount of time young people spend playing video games is not enough to judge whether gaming is linked to cognitive ...

What was the issue and what impact did it have?

Dependence on automation harms cognitive capabilities. Research affirms the correlation between GAI and cognitive erosion, ...

Google will add SandboxAQ’s so-called large quantitative models to its cloud marketplace, allowing researchers to combine ...

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

Quantum computers can outperform their classical counterparts at some tasks, but the full scope of their power is unclear. A new quantum algorithm hints at the possibility of far-reaching applications ...