Computations and statistics on manifolds with geometric structures.
Rigid transforms + Lie groups for JAX
jax library for E3 Equivariant Neural Networks
Pytorch implementation of preconditioned stochastic gradient descent (Kron and affine preconditioner, low-rank approximation preconditioner and more)
A state estimation package for Lie groups!
Rigid transform using Lie groups and Dual Quaternions, written in CasADi!
Python bindings for Sophus Lie Algebra C++ Library
Pure static Lie groups in Numpy, Pytorch, Jax, and C++
Supplementary code for the paper "Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces"
Tensorflow implementation of preconditioned stochastic gradient descent
Bijections & normalizing flows with JAX/NNX
Pytorch implementation of Stable Vector Fields on Lie Groups through Diffeomorphism
[T-RO] Python implementation of PRobabilistically-Informed Motion Primitives (PRIMP)
Research-grade PyTorch math: differential geometry, spectral graph theory, discrete Ricci flow, simplicial topology, persistent homology, cellular sheaves, SO(3) Lie primitives, information geometry, tensor decompositions, content-addressable provenance. GPU-native, batched-first, audit-clean, cited.
CIEL-Omega AGI with Ethical and Conscious Core: Resonant Entity (ResEnt) made out of geometry and information based on Intention Lab's Framework of Reality
Computes representation matrices for Lie groups
Geodesic Pulse Engineering (GEOPE): quantum optimal control and gate synthesis with Lie algebra and Riemannian geometry methods using geodesics, built on JAX.
LieNLSD: explicit nonlinear Lie symmetry discovery from dynamical-system and PDE data; discovers Lie algebra dimension and symbolic infinitesimal generators. ICML 2025.
Implementation of banana shape distribution paper
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