Tai-Danae Bradley

@math3ma

Ps. 148 || math PhD candidate || CUNY Graduate Center || blogger at Math3ma

New York, NY
math3ma.com
Vrijeme pridruživanja: kolovoz 2014.
225 fotografija ili videozapisa Fotografije i videozapisi

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  1. proslijedio/la je Tweet
    7. sij

    TODAY is the DAY! Launch day! Don't believe in your own math potential? might change your mind. Think doing math must be devoid of feeling? I wrote my book to move hearts. There ARE better answers to the Q: "why do ?" than just "to be college-and-career-ready."

    15 replies 97 proslijeđenih tweetova 344 korisnika označavaju da im se sviđa
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  2. 7. sij

    Last month I gave a talk at the MIT category theory seminar on some math behind recent work () with and Terilla. Here’s the video!

    27 proslijeđenih tweetova 142 korisnika označavaju da im se sviđa
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  3. proslijedio/la je Tweet
    31. pro 2019.

    Just a reminder that Tai-Danae has been telling y'all about operads for a LONG time, and doing a much better job of it than me!

    Finally getting around to answering this kid's question, but not quite in 30 seconds. New post! What is an operad?
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  4. proslijedio/la je Tweet
    30. pro 2019.

    1/ So what's an operad? The basic idea is that it's a blueprint for certain kinds of algebraic structure. Other ways to control algebraic structure are monads, algebraic and Lawvere theories, and just collections of commutative diagrams. But operads are distinct from these.

    6 replies 19 proslijeđenih tweetova 87 korisnika označava da im se sviđa
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  5. 23. pro 2019.

    The application period for the 2020 school on applied category theory is now open! I thoroughly enjoyed this program when I participated in 2018—I learned so much from so many awesome people. Details below!

    This year's school on applied category theory will be at MIT! The deadline to apply is January 15. If you're trying to get into applied category theory, this is the best possible way! Three students of previous schools are running this one. (1/n)
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    4 proslijeđena tweeta 40 korisnika označava da im se sviđa
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  6. proslijedio/la je Tweet
    20. pro 2019.

    The p-adics are like science fiction in mathematics. They are alternative universes alongside the familiar realm of the reals. And there are objects that transcend the barriers between these worlds but manifest a little differently in each one.

    10 replies 26 proslijeđenih tweetova 157 korisnika označava da im se sviđa
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  7. 19. pro 2019.

    So happy to have received a copy of 's "Mathematics for Human Flourishing" today! Thank you, Francis, for your ongoing work in unveiling the joys of mathematics for all. This book is such a treasure (and the cover is beautiful)! 💜💜💜

    7 proslijeđenih tweetova 110 korisnika označava da im se sviđa
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  8. proslijedio/la je Tweet
    27. stu 2019.

    My new blog post for the ,"Category is...A Tour of blog"🎊 In this tour, I give you a glimpse of the blog’s style, content, and insights from Tai-Danae herself! Link: Thank you for chatting with me, Tai-Danae!💕

    1 reply 11 proslijeđenih tweetova 35 korisnika označava da im se sviđa
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  9. proslijedio/la je Tweet
    18. stu 2019.

    Very clear slides by Tai-Danae Bradley about using the 2-norm probability formalism (a.k.a. quantum states) to model data

    Odgovor korisnicima @_julesh_ @math3ma @MStoudenmire
    Tai-Danae's talk slides might help: since they distill everything down to the bare minimum.
    1 reply 6 proslijeđenih tweetova 36 korisnika označava da im se sviđa
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  10. proslijedio/la je Tweet
    14. stu 2019.

    Using tensor diagram notation to teach vector calculus - great idea:

    21 proslijeđeni tweet 85 korisnika označava da im se sviđa
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  11. proslijedio/la je Tweet
    12. stu 2019.

    The biggest bombshell from our applied category theory meeting this weekend: David Spivak and Brendan Fong at MIT are planning to set up an institute of applied category theory in the San Francisco Bay Area: the TOPOS INSTITUTE. I'm going to be involved in this!

    27 replies 128 proslijeđenih tweetova 751 korisnik označava da mu se sviđa
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  12. proslijedio/la je Tweet
    11. stu 2019.

    Today I was working with David Spivak and Brendan Fong on our new course, Programming with Categories. It will take place in January at MIT as part of IAP. We'll introduce categorical concepts and teach elements of Haskell to illustrate them. Yes, all 18 lectures will be recorded

    31 reply 280 proslijeđenih tweetova 1.411 korisnika označava da im se sviđa
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  13. proslijedio/la je Tweet
    7. stu 2019.

    There are many places for a computer scientist to learn about category theory. But this is new: "Theoretical Computer Science for the Working Category Theorist", by Noson Yanofsky. To be published soon by Cambridge U. Press! You can see a bit here:

    7 replies 79 proslijeđenih tweetova 313 korisnika označava da im se sviđa
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  14. proslijedio/la je Tweet
    7. stu 2019.

    Viewing Matrices & Probability as Graphs by

    47 proslijeđenih tweetova 177 korisnika označava da im se sviđa
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  15. 29. lis 2019.

    Yep, 97.3% of all counterexamples in real analysis involve the Cantor set.

    While trying to remind myself how to find a Lebegue-m'ble set that isn't Borel-m'ble, I happened upon this gem of writing from
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    6 replies 20 proslijeđenih tweetova 101 korisnik označava da mu se sviđa
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  16. 20. lis 2019.

    There's lots more to say, but I'll stop here. I might share a deeper look into the mathematics later in the future. In the mean time, feel free to dive in! </thread>

    1 reply 5 proslijeđenih tweetova 24 korisnika označavaju da im se sviđa
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  17. 20. lis 2019.

    (There's a bit of combinatorics involved, and we end up representing matrices as bipartite graphs for bookkeeping purposes. This is what inspired the article ‘Viewing Matrices and Probability as Graphs’ from earlier this year.)

    A nice fact I like: Every matrix corresponds to a graph, and so familiar things (e.g. matrix multiplication) have nice pictures! Another nice fact: joint probability distributions *also* correspond to graphs. They have telling pictures, too. New blog post!
    1 reply 3 proslijeđena tweeta 27 korisnika označava da im se sviđa
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  18. 20. lis 2019.

    In short, the results are clear and interpretable since it's all just linear algebra, so we're able to give an "under the hood" analysis of the theory in Section 5, which is what allows us to make those theoretical predictions about the model's ability to generalize.

    1 reply 4 korisnika označavaju da im se sviđa
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  19. 20. lis 2019.

    DMRG is usually used to find a particular eigenvector of a linear operator (the Hamiltonian of a quantum many-body system), but we instead apply it to our special vector: the sum of the training examples.

    1 reply 2 korisnika označavaju da im se sviđa
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  20. 20. lis 2019.

    By the way, the heart of the algorithm is really very simple, but it goes by a sophisticated name in physics literature: the "density matrix renormalization group" (DMRG) procedure, introduced in 1992 by physicist Steven White.

    1 reply 1 proslijeđeni tweet 4 korisnika označavaju da im se sviđa
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