One of the most beautiful and amazing thesis introductions/summaries I have ever seen - artistically, creatively, and academically! Congratulations, Doctor :)
@tomburns52314 жыл бұрын
P.S. I am very interested in the language modelling implications. Please keep us all posted on how that project goes.
@hunterhatfield71574 жыл бұрын
As a linguist, I cannot hide my excitement. I can't wait to get into your thesis.
@jcbahr5 ай бұрын
it's so fun seeing the physics side of something that seems related to stuff i've been learning about lately: planar algebras and free probability also thank you so much for making this accessible to a broader audience, I wish all technical fields were taught and explained like this
@wuschelthepuschel4 жыл бұрын
I think to present one‘s thesis with such a video is a very orange idea!
@sentralorigin4 жыл бұрын
sick intuitive explanation for people without a background in math
@grahamjoss46433 жыл бұрын
wow. got here from grant sanderson. cant wait to start !
@alvincepongos4 жыл бұрын
Amazing Tai-Danae! Please keep sharing your thoughts and work!! :D
@saikat93ify4 жыл бұрын
I just came here from your website. I had seen many of your videos for PBS Infinite Series and just discovered that you have your own channel !
@wesleyrm3 жыл бұрын
527 likes, 0 dislikes. The most liked undisliked video I've ever seen.
@rickjames47274 жыл бұрын
Love the effort to make your work accessible.
@goneyet4 жыл бұрын
Tai-Dana, you're the best. No words to describe the gratitude I have towards your work and your awesome way to artistically share it with us (I read most of your posts on mathe3ma already). Congratulations on the thesis!
@NoNTr1v1aL Жыл бұрын
Absolutely amazing video!
@crimson021382 жыл бұрын
Thank you, Dr. Bradley, for a fantastic video that makes a highly complex topic much more accessible to those not in your field. I’m a cancer physician but am fascinated by your thesis and now will have to read it in its entirety.
@mandos94 жыл бұрын
This is bound to be a cornerstone for a future branch of science
@astrophysicalevidence4 жыл бұрын
Nicely done. Found your blog about a year ago - congrats on the thesis!
@nicolumi71734 жыл бұрын
Amazing work! Looking forward to read the manuscript! Please keep on the blog and this kind of material
@AleifrLeifrson4 жыл бұрын
I enjoyed listening to you talk about mathematics tremendously! Subscribed in case we should be so lucky that you make more videos :)
@valloway4 жыл бұрын
Yessss so happy you are doing videos again!
@hunan1314 жыл бұрын
Wow. A dissertation that is also a beautiful work of exposition and art. Thank you
@the_allucinator3 жыл бұрын
Universal Construction 1. Find patterns 2. Find the ranking 3. Choose the best 'tis what I learned from Bartosz Milewski. The Section 3.4 of what you presented presents the idea of Universal Construction well.
@TheScottforever4 жыл бұрын
Woaw !!! That seems incredibly ingenious ! Good job !
@joejoe-lb6bw8 ай бұрын
I don't understand it all, yet it makes my brain happy. In terms of fiction: I bet all this will be part of a future SciFi work that postulates a machine that uses the "Bradley Structure" to compute what will happen in the future. Like Isaac Asimov's Foundation series.
@thelastcipher91354 жыл бұрын
Cool! Had a similar idea regarding combining algebra and probability in the desire of studying complex systems. I only had the nebulous part of the idea though so I was wondering if such mathematical structure already exists and then BAM, your thesis!
@kfir_krak4 жыл бұрын
Looks amazing. First thing on my summer reading list. Love your work. Thank you
@ottoludewig12444 жыл бұрын
Amazing work! I'm studying my Undergraduate and pursuing a career in research akin to what I understand to be Topology, Algebra and Category Theory, lately been interested in Probability and Statistics. Thanks for facilitating your work, it's enlightening and inspiring to learn about this
@ottoludewig12444 жыл бұрын
There might be even a connection with structuralist linguistics (Saussure for example) on building language and such, really fascinating
@Czeckie4 жыл бұрын
this looks very interesting, Tai-Danae! I'll find a time to read it, I'm particularly stoked about the glimpses to quantum information theory without physics (I'm extremely rubbish at physics and my brain stops working if the physical examples are more involved)
@MathPhys4U4 жыл бұрын
Congratulations on your thesis. Thanks for sharing your ideas.
@russellsiegelman25372 жыл бұрын
Thank you for sharing this. It is wonderfully illustrated and annotated. Beautifully done. Kudos.
@amolvaidya86664 жыл бұрын
Congratulations, Doctor!
@hoangvinhnguyen24613 жыл бұрын
This really is genial. Not only the thesis, but the way you brought the story to laymen like myself. THANKS !!!!
@salvaalcantara45694 жыл бұрын
Brilliant! Thanks for democratizing math, certainly there is a need (and a lot of value) for it!
@faraazali95892 жыл бұрын
Wow amazing theory. I can see applications in NLP.
@pra. Жыл бұрын
Great thesis summary!
@cyrineh56023 жыл бұрын
Wow the initial idea is just brilliant !
@johnsabini32184 жыл бұрын
Your video synopsis is sharp and nicely done. It spurs me on to at least look at your thesis. Congratulations Dr. Bradley.
@diagoemanuel48002 жыл бұрын
Promising thesis, great introduction and summarization.
@nehsm301262 жыл бұрын
I'm so inspired by your work and can't wait to apply it to the music theory 🤩
@insightfool2 жыл бұрын
This is brilliantly presented.
@freefrancisco6 ай бұрын
Hi, thank you for this very interesting video. I think what you talk about here might be an explanation as to why LLMs like ChatGPT are so good at understanding language. The idea that there is real understanding under an LLM has been criticized because LLMs are purely statistical. But if I understand this video correctly, you are making an argument based on category theory that the statistical relationship between a word and the rest of the words in language is homomorphic to meaning. I need to read your actual thesis to be sure, but if that is the case I think it could explain why LLMs work so well.
@physira75514 жыл бұрын
very happy for you
@cheyneanderson48753 жыл бұрын
I'm really excited to read your thesis! I don't know that I've ever said that about a thesis!
@cheyneanderson48752 жыл бұрын
I finally got around to reading through it! I really enjoyed it, and I definitely see myself using some of this math in a project of mine. I've had a really hard time finding good learning resources on tensors and quantum math. Your paper did more to give me a good intuition for both of those than anything else I've come across. I especially liked the tensor network diagrams, which I had never come across before. Category theory is still brand new to me, so I had a hard time following chapter 5, but it left me eager to learn more about it. Thank you for your work!
@LemoUtan4 жыл бұрын
Nice work. Although have curious urge to sleep off a slight fury over use of orange, not green, ideas.
@AesaKamar4 жыл бұрын
Congrats!
@christianfrohlich38354 жыл бұрын
Very impressive! I could image that this framework has many useful applications. Not sure whether I'm able to understand it though :/
@kategory2 жыл бұрын
Thank you
@zacharysmith45084 жыл бұрын
I've always wanted to know for interdisciplinary topics like your thesis how much depth, broadly speaking do you need to know from each area? For instance, applying commutative algebra or algebraic geometry to statistics, would a pursuing masters/Ph.D. student take an entire course on those topics?
@Jhev10004 жыл бұрын
Congrats and subscribed!
@robertolopezbordetas3 жыл бұрын
This is amazing!
@ryancook98973 жыл бұрын
Amazing presentation! Did you do the animation yourself?
@AdhiNarayananYR2 жыл бұрын
I think the phrase “orange idea” is gonna catch up and it could no longer be used to describe something that occurs rarely in language
@fadmad72573 жыл бұрын
Nice work, understood like 1% of it, how long did it take you to finish your thesis?
@jimmyjonestodd25562 жыл бұрын
Epic
@deneb61394 жыл бұрын
This gonna change the way we look at AI.
@DavePawson4 жыл бұрын
Written with a wider audience in mind Tai-Danae, but I can't find the paper on the net, is it locked away behind BIG paywalls, or can Joe Public access it please?
@sylviajin69684 жыл бұрын
It's in the arxiv link in the description - on the right you can click PDF to view it