Lattice Gaussian Sampling by Markov Chain Monte Carlo: Bounded Distance Decoding and Trapdoor Sampling

Zheng Wang; Cong Ling

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Lattice Gaussian Sampling by Markov Chain Monte Carlo: Bounded Distance Decoding and Trapdoor Sampling

机译：马尔可夫链蒙特卡洛的格子高斯采样：有界距离解码和隔栅采样

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摘要

Sampling from the lattice Gaussian distribution plays an important role in various research fields. In this paper, the Markov chain Monte Carlo (MCMC)-based sampling technique is advanced in several fronts. First, the spectral gap for the independent Metr

机译：从格子高斯分布采样在各个研究领域中都起着重要作用。在本文中，基于马尔可夫链蒙特卡罗（MCMC）的采样技术在多个方面都得到了改进。首先，独立Metr的光谱间隙

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《IEEE Transactions on Information Theory》 |2019年第6期|3630-3645|共16页
作者
Zheng Wang; Cong Ling;
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Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space Ministry of Industry and Information Technology College of Electronic and Information Engineering Nanjing University of Aeronautics and Astronautics (NUAA) Nanjing China;

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正文语种 eng
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关键词
Lattices; Markov processes; Decoding; Gaussian distribution; Convergence; Complexity theory; MIMO communication;

机译：格子马尔可夫过程;解码;高斯分布;收敛;复杂性理论;MIMO通信;

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1. Markov Chain Monte Carlo Methods for Lattice Gaussian Sampling: Convergence Analysis and Enhancement [J] . Wang Zheng IEEE Transactions on Communications . 2019,第10期

机译：格子高斯抽样的马尔可夫链蒙特卡罗方法：收敛性分析和增强
2. Non-parametric simulation of non-stationary non-gaussian 3D random field samples directly from sparse measurements using signal decomposition and Markov Chain Monte Carlo (MCMC) simulation [J] . Zhao Tengyuan, Wang Yu Reliability Engineering & System Safety . 2020,第Nova期

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3. Response to Cho and Liu, "Sampling from complicated and unknown distributions: Monte Carlo and Markov chain Monte Carlo methods for redistricting" [J] . Adler William T., Wang Samuel S. -H. Physica, A. Statistical mechanics and its applications . 2019,第期

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4. Markov chain Monte Carlo algorithms for lattice Gaussian sampling [C] . Wang Zheng, Ling Cong, Hanrot Guillaume Institute of Electrical and Electronics Engineers International Symposium on Information Theory . 2014

机译：马尔可夫链蒙特卡洛算法用于格子高斯采样
5. Random sampling of lattice configurations using local Markov chains. [D] . Greenberg, Samuel G. 2008

机译：使用局部马尔可夫链对晶格配置进行随机采样。
6. A Comparison of Penalized Maximum Likelihood Estimation and Markov Chain Monte Carlo Techniques for Estimating Confirmatory Factor Analysis Models With Small Sample Sizes [O] . Oliver Lüdtke, Esther Ulitzsch, Alexander Robitzsch 2021

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7. Lattice Gaussian Sampling by Markov Chain Monte Carlo: Bounded Distance Decoding and Trapdoor Sampling [O] . Zheng Wang, Cong Ling 2019

机译：Markov Chain Monte Carlo的格子高斯抽样：有界距离解码和Trapdoor采样

Lattice Gaussian Sampling by Markov Chain Monte Carlo: Bounded Distance Decoding and Trapdoor Sampling

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