Quantum Algorithms and Lower Bounds for Finite-Sum Optimization

Y Zhang, C Zhang, C Fang, L Wang, T Li - arxiv preprint arxiv:2406.03006, 2024 - arxiv.org
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 …

Generalized Short Path Algorithms: Towards Super-Quadratic Speedup over Markov Chain Search for Combinatorial Optimization

S Chakrabarti, D Herman, G Ozgul, S Zhu… - arxiv preprint arxiv …, 2024 - arxiv.org
We analyze generalizations of algorithms based on the short-path framework first proposed
by Hastings [Quantum 2, 78 (2018)], which has been extended and shown by Dalzell et …

Gibbs Sampling of Continuous Potentials on a Quantum Computer

A Motamedi, P Ronagh - Forty-first International Conference on Machine … - openreview.net
Gibbs sampling from continuous real-valued functions is a challenging problem of interest in
machine learning. Here we leverage quantum Fourier transforms to build a quantum …