62 citations · 151 across the 25 of their papers we have counts for
6 papers · 1 filter
Training Multi-Layer Over-Parametrized Neural Network in Subquadratic Time
Zhao Song, Lichen Zhang, Ruizhe Zhang
We consider the problem of training a multi-layer over-parametrized neural network to minimize the empirical risk induced by a loss function. In the typical setting of over-paramet…
Does Preprocessing Help Training Over-parameterized Neural Networks?
Zhao Song, Shuo Yang, Ruizhe Zhang
Deep neural networks have achieved impressive performance in many areas. Designing a fast and provable method for training neural networks is a fundamental question in machine lear…
Quantum Meets the Minimum Circuit Size Problem
Nai-Hui Chia, Chi-Ning Chou, Jiayu Zhang +1
In this work, we initiate the study of the Minimum Circuit Size Problem (MCSP) in the quantum setting. MCSP is a problem to compute the circuit complexity of Boolean functions. It…
Computing Ground State Properties with Early Fault-Tolerant Quantum Computers
Ruizhe Zhang, Guoming Wang, Peter Johnson
Significant effort in applied quantum computing has been devoted to the problem of ground state energy estimation for molecules and materials. Yet, for many applications of practic…
Symmetric Sparse Boolean Matrix Factorization and Applications
Sitan Chen, Zhao Song, Runzhou Tao +1
In this work, we study a variant of nonnegative matrix factorization where we wish to find a symmetric factorization of a given input matrix into a sparse, Boolean matrix. Formally…
Solving SDP Faster: A Robust IPM Framework and Efficient Implementation
Baihe Huang, Shunhua Jiang, Zhao Song +2
This paper introduces a new robust interior point method analysis for semidefinite programming (SDP). This new robust analysis can be combined with either logarithmic barrier or hy…