What is it about?

This paper describes a new open source Julia package Manifolds.jl that aims at bridging the gap between mathematical researchers and engineers. Data scientists get high-quality, fast and extensible implementations of geometric algorithms they can easily use following examples from, for example, robotics or biometric data analysis. Mathematicians can contribute new algorithms, increasing the impact of their findings.

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Why is it important?

Cutting-edge research in differential geometry can be applied to many practical problems but mathematicians and engineers have difficulties finding common ground. Many important tools in, for example, robotics are derived from mathematical research, and our library facilitates using cutting-edge differential geometry for data analysis.

Read the Original

This page is a summary of: Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds, ACM Transactions on Mathematical Software, September 2023, ACM (Association for Computing Machinery),
DOI: 10.1145/3618296.
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