Content I Consume - 10/22/2024

Past weeks editions can be found here

 MIT is fully in fall. The leaves are changing and we are getting the last warm days of the year until spring semester. I submitted my first fellowship application. There’s something about checking the first box for PhD applications that feels quite freeing.

Physics

Paper & Machine Learning: Product Manifold Machine Learning Talk

I was invited to speak at the Institute for Artificial Intelligence and Fundamental Interaction’s (IAIFI) thematic discussion of manifold and representation learning. I was sharing my project Product Manifold Machine Learning where we develop methods of representing and processing high energy physics data in curved manifolds (constant curvature Riemannian manifolds).

This approach is motivated by the literature of learned representation and embeddings. This work has been a long effort on my part so I am happy to begin sharing our findings with the research community.

This work was also recently accepted to Conference on Neural Information Processing Systems (NeurIPS) machine learning for the physics science (ML4PS) where I’m first author.

Miscellaneous

Video: Proof of Fermat’s Last Theorem

Pierre de Fermat, first proposed this theorem (shown below) in 1637. He famously wrote that he knew how to prove it, but didn’t have enough space in the margins to write it down. After 357 years, Andrew Wiles finally proved this theorem to be true after a near decade long effort.

This short form documentary outlines Wiles’ largely isolated journey to solving Fermat’s last theorem. I and many others wonder if Fermat’s proof would have been correct, but it’s lost to time.