4 papers
Short proofs in combinatorics, probability and number theory II
Boris Alexeev, Moe Putterman, Mehtaab Sawhney +2
We give a quintet of proofs resulting from questions posed by ErdÅs. These questions concern ordinary lines in planar point sets, sequences with uniformly small exponential sums,…
Short proofs in combinatorics and number theory
Boris Alexeev, Moe Putterman, Mehtaab Sawhney +2
We give a triplet of short proofs, each of which answers a question raised by ErdÅs. The first concerns the small prime factors of , the second concerns whether an a…
On infinite sets with no on a line
Moe Putterman, Mehtaab Sawhney, Gregory Valiant
We give a construction of an infinite set of points in such that any subset has a constant density subset with no three points collinear and…
The Empirical Impact of Neural Parameter Symmetries, or Lack Thereof
Derek Lim, Theo Moe Putterman, Robin Walters +2
Many algorithms and observed phenomena in deep learning appear to be affected by parameter symmetries -- transformations of neural network parameters that do not change the underly…