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Материал из MachineLearning.

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(Fundamental theorems)
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* Geometric deep learning
 
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* Functional data analysis
 
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* Applied mathematics for machine learning
 
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==Syllabus and goals==
 
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==Theme 1: ==
 
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===Message===
 
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===Basics===
 
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===Application===
 
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===Code===
 
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https://papers.nips.cc/paper/2018/file/69386f6bb1dfed68692a24c8686939b9-Paper.pdf
 
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==Theme 1: ODE and flows==
 
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*[https://papers.nips.cc/paper/2018/hash/69386f6bb1dfed68692a24c8686939b9-Abstract.html Neural Ordinary Differential Equations] (source paper and code)
 
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*[https://en.wikipedia.org/wiki/Flow-based_generative_model W: Flow-based generative model]
 
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*[https://deepgenerativemodels.github.io/notes/flow/ Flows at deepgenerativemodels.github.io]
 
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*[https://habr.com/ru/company/ods/blog/442002/ Знакомство с Neural ODE на хабре]
 
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Goes to BME
 
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*[https://arxiv.org/pdf/1505.05770.pdf Variational Inference with Normalizing Flows (source paper)]
 
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*[https://lilianweng.github.io/lil-log/2018/10/13/flow-based-deep-generative-models.html Flow-based deep generative models]
 
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==Theme 1: PDE==
 
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(after RBF)
 
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==Theme 1: High order splines==
 
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==Theme 1: Topological data analysis==
 
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==Theme 1: Homology versus homotopy==
 
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[https://en.wikipedia.org/wiki/Homology_(mathematics) W: Homology]
 

Версия 21:29, 6 сентября 2021

Содержание




Fundamental theorems

W: Inverse function theorem and Jacobian

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