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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 13th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting some minimum, for the moment mainly to connect some references and for connecting the entries on *[[topological data analysis]]* with *[[machine learning]]* <a href="https://ncatlab.org/nlab/revision/topological+machine+learning/1">v1</a>, <a href="https://ncatlab.org/nlab/show/topological+machine+learning">current</a>

   starting some minimum, for the moment mainly to connect some references and for connecting the entries on topological data analysis with machine learning

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeJun 13th 2022
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   Author: David_Corfield
   Format: MarkdownItexMore cosmic coincidence. The [webpage](https://www.sthu.org/research/topmachinelearning/) referred to speaks of heat diffusion and Wasserstein metrics, just when I'm [pointing](https://twitter.com/DavidCorfield8/status/1536082897026928642) someone to your 11 year-old [comment](https://golem.ph.utexas.edu/category/2011/06/a_bit_more_about_entropy.html#c038578) on entropy and cocycles which refers me off to JKO and the [[Wasserstein metric]]. > By (JKO) the heat flow?/diffusion equation? on X is the gradient flow of the Boltzman-Shannon entropy functional with respect to the Wasserstein metric

   More cosmic coincidence. The webpage referred to speaks of heat diffusion and Wasserstein metrics, just when I’m pointing someone to your 11 year-old comment on entropy and cocycles which refers me off to JKO and the Wasserstein metric.

   By (JKO) the heat flow?/diffusion equation? on X is the gradient flow of the Boltzman-Shannon entropy functional with respect to the Wasserstein metric

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 13th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI see, interesting. On my side, we just had a PI meeting of CQTS, where TML was a topic.

   I see, interesting. On my side, we just had a PI meeting of CQTS, where TML was a topic.