Mapping cell development with mathematics-informed machine learning

The development of humans and other animals unfolds gradually over time, with cells taking on specific roles and functions ...
SpaceNews

Maxar and Ecopia roll out AI-powered Earth mapping system

Maxar and Ecopia mapped buildings, roads and land cover footprints across Reynosa, Mexico, on the southern border. With these vectors, authorities can establish a trusted “before” picture of the town, ...
Live Science

'Dramatic revision of a basic chapter in algebra': Mathematicians devise new way to solve devilishly difficult equations

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...
Oak Ridge National Lab

Learning the boundary-to-domain mapping using Lifting Product Fourier Neural Operators for partial differential equations

41st International Conference on Machine Learning Workshop on AI for Science: Scaling in AI for Scientific Discovery Neural operators such as the Fourier Neural Operator (FNO) have been shown to ...
Scientific Research Publishing

Dirichlet-to-Neumann Map for a Hyperbolic Equation ()

In this paper, we provide an explicit expression for the full Dirichlet-to-Neumann map corresponding to a radial potential for a hyperbolic differential equation in 3-dimensional. We show that the ...
Scientific Research Publishing

Hori Jr., H. (2023) Type 2 Stochastic Deferential Equation in No-Data Problem and Its Application to Possibility Factor Analysis. Applied Mathematics. (To Appear)

ABSTRACT: Uemura [1] discovered the mapping formula for Type 1 Vague events and presented an alternative problem as an example of its application. Since it is well known that the alternative problem ...