Deep Patel
@nolongerconvex
CS PhD at @UWMadison | Interests: Learning Theory, Trustworthy ML | Previously: @iiscbangalore
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In office hours a few minutes ago, I was discussing homoclinic tangles with one of my students, and I pulled one of the books by Abraham and Shaw off the shelf to show this image. I'd forgotten how marvelous these books are for gaining intuition.
Our latest book on the mathematical principles of deep learning and intelligence has been released publicly at: ma-lab-berkeley.github.io/deep-represent… It also comes with a customized Chatbot that helps readers study and a Chinese version translated mainly by AI. This is an open-source project.
It takes me dozens of drafts to write anything. Here, for example, are three stages (out of 60+) of the opening of INFINITE POWERS. A rough idea, followed by an early attempt at sentences, followed by the final version.
Students taking a first course in nonlinear dynamics and chaos (or anyone curious about the subject): Videos of lectures are freely available. Hope you enjoy them! youtube.com/playlist?list=…
I love the @nightsciencepod podcast hosted by @ItaiYanai and @MartinJLercher.. also looking for more academic podcasts. As I will be running out the episodes soon.. Any suggestions welcome. Need something to drown all this noise.
Yearly reminder: What do polar coordinates, polar matrix factorization, & Helmholz decomposition of a vector field have in common? All are implied by Brenier’s Thm: a cornerstone of Optimal Transport theory. It’s a fundamental decomposition result that’s not widely known 1/n
There are whole books on psychology that don't get anywhere near this paragraph from Dostoevsky
We often think of an "equilibrium" as something standing still, like a scale in perfect balance. But many equilibria are dynamic, like a flowing river which is never changing—yet never standing still. These dynamic equilibria are nicely described by so-called "detailed balance"
this is peak blogging...nothing can come close to this...every part and process explained in detail...you can move and control things and see the processes from different views...ciechanow.ski/archives/
I was putting together a syllabus for a class a couple of years ago, and thought, "Why don't I do this for my PhD students?" So I've been slowly writing a syllabus for them (v0.1): docs.google.com/document/d/11D…
1/ Our new paper w/tour de force analysis lead by @atsushi_y1230 w/@hmabuchi uses replica theory, supersymmetry, Kac-Rice formula, Dyson's Brownian motion & high-dim geometry to show how an Ising machine of coupled photons finds spin glass ground states arxiv.org/abs/2309.08119
Our paper on high dim geometry of coherent Ising machines now in @PhysRevX. Learn how replicas, supersymmetry, Kac-Rice, random matrices & Dyson's motion explain how a neural net made of photons works! @atsushi_y1230 @hmabuchi journals.aps.org/prx/abstract/1… x.com/SuryaGanguli/s…
1/ Our new paper w/tour de force analysis lead by @atsushi_y1230 w/@hmabuchi uses replica theory, supersymmetry, Kac-Rice formula, Dyson's Brownian motion & high-dim geometry to show how an Ising machine of coupled photons finds spin glass ground states arxiv.org/abs/2309.08119
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