The Simons Foundation’s mission is to advance the frontiers of research in mathematics and the basic sciences.
Co-founded in New York City by Jim and Marilyn Simons, the foundation exists to support basic - or discovery-driven - scientific research undertaken in the pursuit of understanding the phenomena of our world.
The Simons Foundation’s support of science takes two forms: We support research by making grants to individual investigators and their projects through academic institutions, and, with the launch of the Flatiron Institute in 2016, we now conduct scientific research in-house, supporting teams of top computational scientists.
Terence sir, you can never become a clerk or shopkeeper as your hand writing is not great...but the whole world knows that if you put some effort you can easily solve the remaining few unsolved mathematical problems which mankind failed to solve upto this edge of time. Thank you.
Hey fields medal, or is it Nobel proze, for reminding people that Minkowski spacetime event singularities are every spacetime location and all geodesics that pass through that point intersect and the squeeze theorem integrated appropriately mens there is a continuum of events before the geodesics can intersect again. 😂😊
It is probably dumb or anyone else have trouble understanding folding analogy at 12:15? Is he suggesting that the planes are superimposed with one top of other? Or is he suggesting that sum of figure a and figure b lead to figure c? Can anyone help me in understanding it?
Thank you for your talk. I found it extremly interesting. I have some comment on your statement that simplicity is implied by utility : Differential Equations are very useful in describing our world, however they are at least in my mind not simple and to most people also not familiar. I would love to discuss about it !
one of the best suggestions of the algorithm. there is a phrase widely used in education circles nowadays: 'Learning how to learn' and it is often criticised as human babies are already born with the ability to learn. But in the case of machines I suspect that is the way to go. They lack the genetic encoding we embedded in our biological systems for so long. Maybe we should treat these early machine learning models as their DNA?
The mental features discoursed of as the analytical are in themselves but little susceptible of analysis. --- Edgar Allan Poe To put it simply, it’s hard to understand why prodigies are the way they are
I was pretty surprised to see this not actually purpose much of anything other than using tools to analyse patterns, three same tools that have been in use for decades. Is this a venture pitch? Throwing more processing at it helps, but doesn't "solve" anything on its own.
yooo, i'm so glad i came across this! i've been thinking about how neural networks can teach us about our own thinking and pattern finding; i'm glad there is discussion about it
okay it's not about what i initially thought, but whoa. this polymath approach sounds excellent. i feel it's similar to how people who study many different fields can be quicker to grasp a novel problem
33:16 Mark my words. There won't be any foundational-level model can achieve 5-digit of accuracy like the finite difference does for PDE, which was popularized three hundred years ago by Euler. Using the model alone (without the help of non-blackbox outer algorithms or second-order optimizer), no matter you have 1000 billion params, or what, never. 1000 years later our AI overlords will still use finite difference (maybe the BDF table will be learned by blackbox).
So wisdom is better than raw intellect. Got it. The more we know, the more it enhances anything else we do and think about. Not really a mystery, but nice to see the theory and it being proven. ML has always felt wrong to me because of the "toddler" he describes. Now that ai can know everything that the entire human race knows, of course it will start solving problems we can't think to solve alone with our own minds and data within. Who built our ai?
Mostly because of the folding analogy around 12:00 that helps build a good intuition about how chaining the layers of the neural network from perspective of a single neuron does produce a complex function that can learn to approximate complex relationships. The main topic of the presentation is fine, but more like an early sketch of an idea how we might extract new simplified scientific models from LLM - but the prompt method doesn’t seem to be scalable enough for practical application. The core insight seems to valid, though.
Interesting topic and well put presentation, however the speaker should practice a bit more its communication skills (not saying "I mean" or "like" every 2s) and stop reading the damn PowerPoint - I bet most viewers can read-. Again, it is a great topic and a good presentation. I will read his previous research after watching this.
Here's an April fools episode idea. Tales from the dark side episode where you discuss the extremely creative solutions you had to come up with while trying to do chase films on some UFO test object. Deliver it in a straight face with digressions on how it would be cool if / or how you are waiting to see the technology make it's way into the civilian market ect . For the photos have blurry images of birds or maybe say that the reason pictures are blurry is because UFOs are just blurry. Even when in the hangar
Quote (16:40): State of the art for symbolic regression... 25 days later a paper was released where so called KAN's where used to do symbolic regression, and I am pretty sure that this will be the state of the art. I know it was used only on small datasets and has some other flaws, but this is not worth talking about since we will make it work. They also refrence Miles Cranmer.
Great presentation! My main takeaway is that we need a more unified approach to neural network models. Interoperability is important and can substitute for or even supercede the quality increase of pre-training.
Eric Lerner has spoken to H Alfven Wave and Plasma instabilities-stabilities along Magnetic field lines of the sun and stars in general for decades. It’s not an association that some will dare to make yet I think he deserves recognition for his huge contributions since VNadi and others.
