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geomstats

swMATH ID: 24373
Software Authors: Nina Miolane, Johan Mathe, Claire Donnat, Mikael Jorda, Xavier Pennec
Description: geomstats: a Python Package for Riemannian Geometry in Machine Learning. We introduce geomstats, a python package that performs computations on manifolds such as hyperspheres, hyperbolic spaces, spaces of symmetric positive definite matrices and Lie groups of transformations. We provide efficient and extensively unit-tested implementations of these manifolds, together with useful Riemannian metrics and associated Exponential and Logarithm maps. The corresponding geodesic distances provide a range of intuitive choices of Machine Learning loss functions. We also give the corresponding Riemannian gradients. The operations implemented in geomstats are available with different computing backends such as numpy, tensorflow and keras. We have enabled GPU implementation and integrated geomstats manifold computations into keras deep learning framework. This paper also presents a review of manifolds in machine learning and an overview of the geomstats package with examples demonstrating its use for efficient and user-friendly Riemannian geometry.
Homepage: https://arxiv.org/abs/1805.08308
Source Code: https://github.com/geomstats/geomstats
Dependencies: Python
Keywords: Learning; arXiv_cs.LG; Mathematical Software; arXiv_cs.MS; Machine Learning; arXiv_stat.ML; Python; Riemannian Geometry
Related Software: Pymanopt; Geoopt; McTorch; TensorFlow; PyGeometry; Python; GitHub; Julia; PyQuaternions; PyRiemann; pyquaternion; PyTorch; Theano; MVIRT; Manopt.jl; Manopt; ROPTLIB; Manifolds.jl; MNIST; StiefelLog
Cited in: 9 Publications

Standard Articles

1 Publication describing the Software Year
geomstats: a Python Package for Riemannian Geometry in Machine Learning
Nina Miolane, Johan Mathe, Claire Donnat, Mikael Jorda, Xavier Pennec
2018

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