| On the supercongruence conjectures of van Hamme | 2015/10/15 | English | 84 |
| Solving for high-dimensional committor functions using artificial neural networks | 2018/10/25 | English | 70 |
| Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere | 2016/09/01 | English | 58 |
| Variants of the Selberg sieve, and bounded intervals containing many primes | 2014/10/17 | English | 46 |
| Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures | 2020/07/14 | English | 42 |
| A mean-field optimal control formulation of deep learning | 2018/12/13 | English | 41 |
| Nahm sums, stability and the colored Jones polynomial | 2015/01/20 | English | 34 |
| Deep relaxation: partial differential equations for optimizing deep neural networks | 2018/06/28 | English | 34 |
| Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta | 2015/06/10 | English | 34 |
| Umbral moonshine and the Niemeier lattices | 2014/06/17 | English | 34 |
| Amoebas, nonnegative polynomials and sums of squares supported on circuits | 2016/03/20 | English | 33 |
| A class of non-holomorphic modular forms I | 2018/02/06 | English | 29 |
| On the rigid cohomology of certain Shimura varieties | 2016/10/26 | English | 28 |
| Blended coarse gradient descent for full quantization of deep neural networks | 2019/01/02 | English | 26 |
| Moonshine | 2015/07/10 | English | 25 |
| Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy | 2020/06/29 | English | 25 |
| Proof of the umbral moonshine conjecture | 2015/12/01 | English | 24 |
| Fast Ewald summation for free-space Stokes potentials | 2017/02/01 | English | 24 |
| Derived equivalences of K3 surfaces and twined elliptic genera | 2016/02/25 | English | 21 |
| Torus knots and quantum modular forms | 2015/01/29 | English | 20 |
| Negative index Jacobi forms and quantum modular forms | 2014/12/01 | English | 20 |
| Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method | 2017/08/07 | English | 19 |
| Low Mach number limit for the quantum hydrodynamics system | 2016/05/15 | English | 18 |
| Moduli of tropical plane curves | 2015/04/09 | English | 17 |
| Rankin–Eisenstein classes in Coleman families | 2016/10/01 | English | 17 |
| A multiscale neural network based on hierarchical nested bases | 2019/03/07 | English | 17 |
| Higher depth quantum modular forms, multiple Eichler integrals, and
$$\mathfrak {sl}_3$$
sl
3
false theta functions | 2019/03/04 | English | 16 |
| Sparse operator compression of higher-order elliptic operators with rough coefficients | 2017/12/01 | English | 15 |
| Bounded gaps between primes in Chebotarev sets | 2014/06/17 | English | 15 |
| Mock modular Mathieu moonshine modules | 2015/07/28 | English | 15 |