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Can you explain to me how to decompose this persistence module and why?

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#algebraic-topology #homological-algebra #topological-data-analysis
50
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Machine learning with algebraic information

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#general-topology #machine-learning #neural-networks #topological-data-analysis
98
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Using topological data analysis to analyze a graph

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#algebraic-topology #machine-learning #topological-data-analysis
164
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Understanding nearest neighbors in high-dimensional data

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#statistics #data-structure #topological-data-analysis
49
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Counter-example involving 2-out-of-3 property for simplicial collapses

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#combinatorics #simplicial-complex #topological-data-analysis
61
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Short exact sequence of persistence modules

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#homological-algebra #exact-sequence #simplicial-complex #filtrations #topological-data-analysis
36
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Isoparametric function on hypersurfaces in Euclidean space

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#differential-geometry #riemannian-geometry #topological-data-analysis
47
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Can you do geometry with persistent homology?

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#differential-geometry #algebraic-topology #reference-request #topological-data-analysis
52
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Persistence Vector Spaces

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#algebraic-topology #data-analysis #topological-data-analysis
32
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Efficient algorithms to detect connected components

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#algorithms #connectedness #image-processing #topological-data-analysis
18
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Smith normal form of morphisms between non-free $R$-modules

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#reference-request #modules #topological-data-analysis #smith-normal-form
41
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Vietoris-Rips complex with repeated vertices

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#algebraic-topology #topological-data-analysis #topological-graph-theory
24
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generating the graph of allowed moves in two-player games

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#machine-learning #topological-data-analysis
2.1k
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What are good references to self study persistent homology?

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#reference-request #algebraic-topology #soft-question #topological-data-analysis
93
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Question about the classification theorem for finitely generated graded $F[t]$-modules

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#modules #finitely-generated #graded-rings #graded-modules #topological-data-analysis

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