Berfin Simsek

Simons Foundation Co-Founder, Mathematician and Investor Jim Simons Dies at 86 Simons Foundation Co-Founder, Mathematician and Investor Jim Simons Dies at 86 on Simons Foundation

It's been one year since Jim Simons passed away. He remains one of the greatest philanthropists of our time. His commitment to fundamental scientific research was truly extraordinary and remains essential for advancing humanity.
www.simonsfoundation.org/2024/05/10/s...

Below this threshold, a mild overparameterization (log k factor) for k index vectors is sufficient to match the neurons to the ideal vectors due to a coupon collector argument. 🤠

When the ideal vectors form an equiangular frame, all learned weights converge to their average (no matter how much overparameterization is used), which has turned from a saddle to a local minimum after a certain threshold of the dot product. 😲

Searching for an exact inverse map from learned weights to ideal (concept) vectors is an intricate geometry question, even for "simple" idealized models. 🧐

DARPA's "Exponentiating mathematics" (expMath) program, which is launching a challenge to develop and evaluate "AI collaborators" for assist in decomposing and formalizing informal mathematical proofs, is now taking short abstract proposal submissions: sam.gov/opp/869c8d73...