Applied mathematician Carola Schönlieb discusses the mathematical roots of digital inpainting and image restoration with Craig Cannon on the Y Combinator Podcast.
Assertion Supported
Medical AI models trained on one scanner brand fail on others
“Also the type of scanner you're using, are you using a G or a Siemens or Toshiba or whatever they have different settings, And they have different ways of going from the measurements to an image. And so, you know, if you train an algorithm, for instance, a neu…”
Assertion Supported
Schönlieb: Deep neural networks outperform handcrafted methods in image denoising
“Image denoising nowadays, I think the best image denoising approaches are actually coming from deep neural networks. So, you know, these handcrafted methods get more and more beaten in terms of performance. By some of these neural network approaches.”
Insight
Schönlieb: Exactly minimizing training loss often hurts neural network generalization
“You do not necessarily need to solve your optimization problem, your training exactly. And maybe sometimes, or most of the time you actually don't want it, want to save it exactly because you only have a finite amount of training examples. And so when you thin…”
Insight
Schönlieb: ML super-resolution creates probable images but cannot verify accuracy
“Maybe, you know, if you have all these machine learning methods which have learned to look at just pixels and then know what is a very probable match in terms of high resolution, maybe at some point you can do it, but then you don't know how, if you're right o…”
Insight
Schönlieb: Handcrafted image models provide mathematical proofs and error estimates
“We can prove properties about the denoising abilities of these methods of how stable they are, for instance, to perturbations in the images. We know how that works, so we can prove things about that. We have error estimates and things like this.”
Insight
Schönlieb: CT reconstruction is constrained by limits on patient radiation exposure
“You want a very high resolution image because you want to look at all the details in the body. But you don't want to measure so many line integrals because you don't want to radiate the patient so much. You don't want to send tons of x-rays through, through th…”