Differential Geometry In Machine Learning at Alexandra Donohoe blog

Differential Geometry In Machine Learning. The “5g” of geometric deep learning: Insights from differential geometry have led to new state of the art approaches to modeling complex real world data, such as graphs with. In this work, we will demonstrate how deterministic and stochastic dynamics on manifolds, as well as differential geometric. Differential geometry and algebraic topology are not encountered very frequently in mainstream machine learning. Insights from differential geometry have led to new state of the art approaches to modeling complex real world data, such as. This roadmap is intended to highlight some examples of models and algorithms from machine learning which can be interpreted in terms of differential geometry. Grids, group (homogeneous spaces with global symmetries), graphs (and sets as a particular case), and manifolds, where geometric priors are manifested through global isometry invariance (which can be expressed using geodesics) and local gauge symmetries. In this series of posts, i show how tools from these fields can be used to reinterpret graph neural networks and address some of their common plights in a principled way.

Lecture 2A What is a "Mesh?" (Discrete Differential Geometry) YouTube
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Grids, group (homogeneous spaces with global symmetries), graphs (and sets as a particular case), and manifolds, where geometric priors are manifested through global isometry invariance (which can be expressed using geodesics) and local gauge symmetries. In this work, we will demonstrate how deterministic and stochastic dynamics on manifolds, as well as differential geometric. Insights from differential geometry have led to new state of the art approaches to modeling complex real world data, such as graphs with. This roadmap is intended to highlight some examples of models and algorithms from machine learning which can be interpreted in terms of differential geometry. In this series of posts, i show how tools from these fields can be used to reinterpret graph neural networks and address some of their common plights in a principled way. Differential geometry and algebraic topology are not encountered very frequently in mainstream machine learning. The “5g” of geometric deep learning: Insights from differential geometry have led to new state of the art approaches to modeling complex real world data, such as.

Lecture 2A What is a "Mesh?" (Discrete Differential Geometry) YouTube

Differential Geometry In Machine Learning Differential geometry and algebraic topology are not encountered very frequently in mainstream machine learning. Insights from differential geometry have led to new state of the art approaches to modeling complex real world data, such as. This roadmap is intended to highlight some examples of models and algorithms from machine learning which can be interpreted in terms of differential geometry. The “5g” of geometric deep learning: In this series of posts, i show how tools from these fields can be used to reinterpret graph neural networks and address some of their common plights in a principled way. In this work, we will demonstrate how deterministic and stochastic dynamics on manifolds, as well as differential geometric. Grids, group (homogeneous spaces with global symmetries), graphs (and sets as a particular case), and manifolds, where geometric priors are manifested through global isometry invariance (which can be expressed using geodesics) and local gauge symmetries. Differential geometry and algebraic topology are not encountered very frequently in mainstream machine learning. Insights from differential geometry have led to new state of the art approaches to modeling complex real world data, such as graphs with.

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