hypersphere

Quick implementation of nGPT, learning entirely on the hypersphere, from NvidiaAI

A Toy for Visualizing Coxeter Polytopes

Visualiser for basic geometric primitives and fractals in arbitrary-dimensional spaces

Implementation for <Orthogonal Over-Parameterized Training> in CVPR'21.

Code accompanying the paper "360 Surface Regression with a Hyper-Sphere Loss", 3DV 2019

Implementation for <Learning with Hyperspherical Uniformity> in AISTATS'21.

The Similarity Search Tree is an efficient method for indexing high dimensional feature vectors. The main objective of this data structure is to obtain the nearest neighbors given a certain query vector in a reasonable amount of time. In this project, the k-NN algorithm was adapted for supporting image retrieval.

Geometric memory engine on the S³ hypersphere — quaternion drift, phasor interference, MCP server

Introduces a framework for making non-canonical hyperspherical coordinate systems.

4D experiments

Vilenkin–Kuznetsov–Smorodinsky polyspherical (hyperspherical) coordinates in NumPy / PyTorch

Materials and code that I used for my bachelor thesis - Electrostatics and magnetostatics on a hypersphere

montecarlo methods

Dedicated to exploring and understanding fascinating mathematical concepts that go beyond the basics. Whether you're a math enthusiast or someone looking to deepen your knowledge in intriguing areas of mathematics, this repository aims to provide resources and insights into the most captivating topics in the field.

This document purpose is to demonstrate hyperspace volume in n dimensions.

Count and/or enumerate the lattice points that lie within a hypersphere

Tiny Python library for n-dimensional geometry (sphere, cube, ellipsoid, simplex) with an MCP server for Claude Desktop. Born as an 84-line CS102 Java assignment in 2014.

Hypersphere volume computation for low dimensionality using Monte Carlo techniques and threaded Ruby

The power of the framework I have mapped is true for it has explained the intimate workings of our universe to me. Come on this journey of exploration with me into this wonderful frontier! But be warned, your 1st principles will be rigorously challenged; can you defend them?