Algebra, Topology, Differential Calculus, and Optimization Theory for CS [pdf]

Re:Algebra, Topology, Differential Calculus, and Optimizatio... by hulkisdumb on Saturday December 30, 2017 @01:52PM (#16036730)

I wonder where is topology used in comp sci other than computer vision (?) ?

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Re:Algebra, Topology, Differential Calculus, and Optimizatio... by judis on Tuesday January 02, 2018 @03:35AM (#16050685)

Topological data analysis[0] is a new application of topology.

[0] https://en.wikipedia.org/wiki/Topological_data_analysis

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Re:Algebra, Topology, Differential Calculus, and Optimizatio... by aje403 on Saturday December 30, 2017 @04:29PM (#16037721)

It's part of a good foundation for measure theory which is part of a good foundation for probability which can be used in any type of computational role. Also, understanding a bit about manifolds, neighborhoods, and things like that are a big part of deep learning theory. I am only acquainted with undergrad topology, but I would say it has had more of an impact on my work and projects and future learning than quick sort ever has or <insert random CS degree topic here>.

Tangentially, it is a great topic to learn in general for those with a math interest and a bare minimum requirement for any higher math learning.

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