The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.
In response, he invented the simplex method,
mathematicians proved that the time it takes to complete a task could rise exponentially with the number of constraints
This picture speaks volumes…
Some voting districts are tilted intentionally toward one party or another—a factor in the midterms. Geometry plays a critical role in gerrymandering
Improving on a timeless recipe
Discover how Geometric Deep Learning and Graph Neural Networks power Simcenter PhysicsAI to cut CFD & FEA simulation time from days to seconds.
Generating random points inside a sphere of any dimension.
The customary way to generate points on a sphere in n dimensions is to generate points from an n-dimensional normal (Gaussian) distribution and normalize by dividing by the length. And the way to generate samples from an n-dimensional normal is simply to generate a list of n one-dimensional normals…
Instead, the thing to do is to set
The last decade has witnessed an experimental revolution in data science and machine learning, epitomised by deep learning methods. Indeed, many high-dimensional learning tasks previously thought to be beyond reach -- such as computer vision, playing Go, or protein folding…
A dodecahedron is rounder than an icosahedron, as measured by angle defect, the discrete analog of curvature.
an open source textbook and reference work on algebraic geometry
A cross-framework package for kernels and Gaussian processes on manifolds, graphs, and meshes
An end-to-end deep learning geospatial segmentation project using Pytorch and TorchGeo packages
AI for complex data
Interactive article explaining how curves and surfaces are modeled.
Intuitive Math Descriptions
The geometry puzzles that are lighting up Twitter.