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反向退火的非负/二值矩阵分解。

Reverse annealing for nonnegative/binary matrix factorization.

机构信息

Computational Earth Sciences Group, Los Alamos National Laboratory, Los Alamos, NM, United States of America.

Department of Computer Science and Electrical Engineering, University of Maryland, Baltimore County, MD, United States of America.

出版信息

PLoS One. 2021 Jan 6;16(1):e0244026. doi: 10.1371/journal.pone.0244026. eCollection 2021.

DOI:10.1371/journal.pone.0244026
PMID:33406162
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7787453/
Abstract

It was recently shown that quantum annealing can be used as an effective, fast subroutine in certain types of matrix factorization algorithms. The quantum annealing algorithm performed best for quick, approximate answers, but performance rapidly plateaued. In this paper, we utilize reverse annealing instead of forward annealing in the quantum annealing subroutine for nonnegative/binary matrix factorization problems. After an initial global search with forward annealing, reverse annealing performs a series of local searches that refine existing solutions. The combination of forward and reverse annealing significantly improves performance compared to forward annealing alone for all but the shortest run times.

摘要

最近的研究表明,量子退火可以作为某些类型矩阵分解算法中的有效、快速子程序。量子退火算法在快速、近似解方面表现最佳,但性能很快就达到了瓶颈。在本文中,我们在量子退火子例程中利用反向退火而不是正向退火来解决非负/二进制矩阵分解问题。在使用正向退火进行初始全局搜索之后,反向退火会执行一系列局部搜索,以改进现有解决方案。与仅使用正向退火相比,正向退火和反向退火的组合在所有情况下都显著提高了性能,除了最短的运行时间。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/7560c4808d61/pone.0244026.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/364b69385df1/pone.0244026.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/383d508221fb/pone.0244026.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/5aa14c5be16f/pone.0244026.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/1e0b7cfb9d7e/pone.0244026.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/ff8c8fcb6f4a/pone.0244026.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/7560c4808d61/pone.0244026.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/364b69385df1/pone.0244026.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/383d508221fb/pone.0244026.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/5aa14c5be16f/pone.0244026.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/1e0b7cfb9d7e/pone.0244026.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/ff8c8fcb6f4a/pone.0244026.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b99/7787453/7560c4808d61/pone.0244026.g006.jpg

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D-Wave upgrade: How scientists are using the world's most controversial quantum computer.D-Wave升级:科学家如何使用世界上最具争议的量子计算机。
Nature. 2017 Jan 24;541(7638):447-448. doi: 10.1038/541447b.
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Quantum annealing with manufactured spins.量子退火与人工自旋。
伊辛机中的新型实数表示与性能评估:组合随机数求和与常数除法
PLoS One. 2024 Jun 13;19(6):e0304594. doi: 10.1371/journal.pone.0304594. eCollection 2024.
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Efficiency optimization in quantum computing: balancing thermodynamics and computational performance.量子计算中的效率优化:平衡热力学与计算性能。
Sci Rep. 2024 Feb 24;14(1):4555. doi: 10.1038/s41598-024-55314-z.
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Initial State Encoding via Reverse Quantum Annealing and H-Gain Features.通过反向量子退火和H增益特征进行初始状态编码
IEEE Trans Quantum Eng. 2023;4. doi: 10.1109/tqe.2023.3319586. Epub 2023 Sep 27.
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Efficient low temperature Monte Carlo sampling using quantum annealing.利用量子退火实现高效低温蒙特卡罗采样。
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