Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology colimits combinatorics 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 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 homology homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory kan lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology natural nforum nlab nonassociative 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 string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topological topology topos topos-theory type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthortomr
    • CommentTimeJul 28th 2021

    There are 2 interesting articles this year: https://arxiv.org/abs/2104.03902 - about autodidactive universe that maps old-school gauge theories to old-school neural networks https://arxiv.org/abs/2106.14587 - about utmost generalization of deep neural networks (and their learning and the emergence of semantics in them) in the terms of category theory

    Since the time of their appearance I have had the silent dream to make a generalization of “autodidactic universe” to the level of M-theory and topos-stacks preprint may be the right tool to do this. Is this the prospective research theme? Anyone has similar ideas?

    This is just shy reminder that this forum still hosts interesting (and still open and ongoing, although without too heavy traffic) discussion about topos and stacks DNN article https://nforum.ncatlab.org/discussion/13133/understanding-preprint-topos-and-stacks-of-deep-neural-networks and that this discussion should be resolved before trying to apply topos-and-stacks-DNN to the M-theory for autodidactic (multi)uni-verse. Of course, more earthly applications are also possible.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 28th 2021

    This is just shy reminder that this forum still hosts

    No need for such reminders. Already that thread “Understanding preprint…” is borderline. There is hope that user “rongmin”with their expertise turns it into something useful, but maybe that requires you to pick up and follow-up on the hints that rongmin is kindly providing for you.

    • CommentRowNumber3.
    • CommentAuthorrongmin
    • CommentTimeJul 28th 2021

    Hi Tomr,

    https://arxiv.org/abs/2104.03902 - about autodidactive universe that maps old-school gauge theories to old-school neural networks

    Thanks for bringing this to my attention, but I’m not sure if this is the appropriate forum to discuss that paper. I find it amusing, though, that Lee Smolin is now interested in the landscape.

    I am unfortunately in the midst of helping out with some mathematical “firefighting”, metaphorically speaking, so I can’t yet answer your questions for this week. In the meantime, as Urs has kindly pointed out, please review the suggestions I’ve given, which were made in light of your claim that you’re a beginner in category theory. I want to be supportive of your learning journey and those suggestions were tailored to help a beginner, so please follow up on them.