Everything Anima Anandkumar said on any show that made the record, most notable first. Each card names its show and opens the statement there.
Non-linearities enable neural operators to expressively capture limited frequency modes
“So that's one way of thinking because, you know, first of all, we are lifting the signal to more dimensions, even if the signal is two or three dimensions we are now lifting it to much higher dimension. So in that space, the idea is it's easier to learn and we…”
FourCastNet was the first AI weather model to be permissively open-sourced
“We were the first to actually open source our weather model for CastNet and do it permissively.”
Structured physical signatures enable AI to predict rare events with fewer samples
“But I think this is where more broadly the lesson is the physical world may be more forgiving because, you know, where there are extreme events like hurricanes that have very specific physical signature. Right. So it's like extreme, but in a very specific way.…”
Enforcing physics as hard constraints in AI models is computationally intractable
“Making it a hard constraint is not tractable, whereas adding it as a loss function. And of course, there's still the balancing of that loss with the data we have.”
Neural operators accurately model non-local phenomena like atmospheric rivers
“These are like thousands of miles wide, so you really need non-local models that capture these very large span phenomena and do that accurately, and that's what our neural operators are able to do.”
Latent space physics models enable generalization across diverse geometric shapes
“So the idea of like a latent space to handle all kinds of different geometries and be able to capture the physics there in the latent space well, means we can now have a model that generalizes across a lot of different geometries.”
AI has foundation models for language and vision but not physics
“Because we have foundation models for language, maybe vision, but not for physics. So, you know, the idea is instead of like right now what we've seen are narrow surrogates and we're trying to broaden their scope more and more, but ideally we have much broader…”
Curriculum learning enables multi-physics AI fine-tuning with significantly fewer samples
“And now there's coupling, like because of heat, there's also stretching or kind of the joint phenomena. You could like now hope to fine tune with much fewer samples because it kind of individually knows this phenomena. Then combining them together, maybe it ca…”
Simulation-in-the-loop AI outperforms human intuition at highly nonlinear inverse design
“And humans are usually not good at this, right? We are not good at like looking at highly nonlinear phenomena and say, oh, somehow maybe this combination of all these gates coming together helps pull the electrons together in a quantum gate. And so our collabo…”
TorchLean enables defining PyTorch-like neural networks directly in Lean
“So what it really enables is that you can now write neural networks essentially in Lean. So instead of writing in, like, PyTorch, it's like a PyTorch-like abstraction, but you can, like, kind of, you know, write it in Lean, and so it can be fully formalized in…”
Anandkumar's AI weather model trained on 50,000 global weather maps
“You know, our weather model, like, had about, like, 50,000 samples, right? 50,000 samples of fairly high resolution, like, world global weather maps, but it's nothing like what we see with language.”
Neural operators simulate underground carbon sequestration faster than traditional methods
“So this was like, you know, being able to ask, can we sequester carbon dioxide underground and model how carbon dioxide Expands or, you know, what is the pressure buildup in these reservoirs? And, you know, can we kind of model how they migrate over several de…”