Research in the Mathematical Sciences

Solving for high-dimensional committor functions using artificial neural networks

Yuehaw Khoo, Jianfeng Lu, Lexing Ying · 2018 · 158 citations

Computing, Computer Science, Mathematics +11

Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere

Jérôme Darbon, Stanley Osher · 2016 · 156 citations · Full text

Natural Sciences, Mathematics, Algorithms +13

Variants of the Selberg sieve, and bounded intervals containing many primes

DHJ Polymath · 2014 · 152 citations · Full text

Natural Sciences, Computer Science, Mathematics +11

On the supercongruence conjectures of van Hamme

Holly Swisher · 2015 · 144 citations · Full text

Natural Sciences, Mathematics, Combinatorics +1

Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures

Jérôme Darbon, Gabriel P. Langlois, Tingwei Meng · 2020 · 97 citations

Natural Sciences, Mathematics, Differential Equations +10