4 papers
Finding Stationary Points by Comparisons
Helin Wang, Chenyi Zhang, Xiwen Tao +2
We study the problem of finding stationary points of non-convex functions when access to the objective is provided only through a comparison oracle that, given two points, outputs…
Quantum Algorithms and Lower Bounds for Finite-Sum Optimization
Yexin Zhang, Chenyi Zhang, Cong Fang +2
Finite-sum optimization has wide applications in machine learning, covering important problems such as support vector machines, regression, etc. In this paper, we initiate the stud…
Quantum Non-Identical Mean Estimation: Efficient Algorithms and Fundamental Limits
Jiachen Hu, Tongyang Li, Xinzhao Wang +3
We systematically investigate quantum algorithms and lower bounds for mean estimation given query access to non-identically distributed samples. On the one hand, we give quantum me…
Gradient Testing and Estimation by Comparisons
Xiwen Tao, Chenyi Zhang, Helin Wang +2
We study gradient testing and gradient estimation of smooth functions using only a comparison oracle that, given two points, indicates which one has the larger function value. For…