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This paper explores the benefit of using some of the machine learning techniques and Big data optimization tools in approximating maximum likelihood (ML) detection of Large Scale MIMO systems. First, large scale MIMO detection problem is…

Information Theory · Computer Science 2018-01-17 Anis Elgabli , Ali Elghariani , Abubakr O. Al-Abbasi , Mark Bell

An alternate direction method of multipliers (ADMM)-based detectors can achieve good performance in both small and large-scale multiple-input multiple-output (MIMO) systems. However, due to the difficulty of choosing the optimal penalty…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Isayiyas Nigatu Tiba , Quan Zhang , Jing Jiang , Yongchao Wang

Accurately detecting symbols transmitted over multiple-input multiple-output (MIMO) wireless channels is crucial in realizing the benefits of MIMO techniques. However, optimal MIMO detection is associated with a complexity that grows…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

Statistics Theory · Mathematics 2024-07-12 Xicheng Zhang

Distribution Matching Distillation (DMD) is a promising score distillation technique that compresses pre-trained teacher diffusion models into efficient one-step or multi-step student generators. Nevertheless, its reliance on the reverse…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Yanzuo Lu , Yuxi Ren , Xin Xia , Shanchuan Lin , Xing Wang , Xuefeng Xiao , Andy J. Ma , Xiaohua Xie , Jian-Huang Lai

The exact estimation of latent variable models with big data is known to be challenging. The latents have to be integrated out numerically, and the dimension of the latent variables increases with the sample size. This paper develops a…

Econometrics · Economics 2023-06-27 Ruben Loaiza-Maya , Didier Nibbering , Dan Zhu

The diffusion models (DMs) have demonstrated the remarkable capability of generating images via learning the noised score function of data distribution. Current DM sampling techniques typically rely on first-order Langevin dynamics at each…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Fangyikang Wang , Hubery Yin , Lei Qian , Yinan Li , Shaobin Zhuang , Huminhao Zhu , Yilin Zhang , Yanlong Tang , Chao Zhang , Hanbin Zhao , Hui Qian , Chen Li

The Langevin algorithm is a classic method for sampling from a given pdf in a real space. In its basic version, it only requires knowledge of the gradient of the log-density, also called the score function. However, in deep learning, it is…

Machine Learning · Computer Science 2025-09-22 Aapo Hyvärinen

Numerous low-complexity iterative algorithms have been proposed to offer the performance of linear multiple-input multiple-output (MIMO) detectors bypassing the channel matrix inverse. These algorithms exhibit fast convergence in…

Information Theory · Computer Science 2023-11-22 Jiuyu Liu , Yi Ma , Rahim Tafazolli

Score-based generative models have demonstrated significant practical success in data-generating tasks. The models establish a diffusion process that perturbs the ground truth data to Gaussian noise and then learn the reverse process to…

Machine Learning · Computer Science 2024-05-24 Ziqing Wen , Xiaoge Deng , Ping Luo , Tao Sun , Dongsheng Li

Algorithms for Massive MIMO uplink detection and downlink precoding typically rely on a centralized approach, by which baseband data from all antenna modules are routed to a central node in order to be processed. In the case of Massive…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Jesus Rodriguez Sanchez , Fredrik Rusek , Ove Edfors , Muris Sarajlic , Liang Liu

In this paper we consider a new probability sampling methods based on Langevin diffusion dynamics to resolve the problem of existing Monte Carlo algorithms when draw samples from high dimensional target densities. We extent…

Machine Learning · Computer Science 2025-03-31 Z. Zarezadeh , N. Zarezadeh

Multi-target detection (MTD) is the problem of estimating an image from a large, noisy measurement that contains randomly translated and rotated copies of the image. Motivated by the single-particle cryo-electron microscopy technology, we…

Signal Processing · Electrical Eng. & Systems 2023-12-15 Alon Zabatani , Shay Kreymer , Tamir Bendory

Despite the remarkable success, recent reconstruction-based anomaly detection (AD) methods via diffusion modeling still involve fine-grained noise-strength tuning and computationally expensive multi-step denoising, leading to a fundamental…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Shunsuke Sakai , Xiangteng He , Chunzhi Gu , Leonid Sigal , Tatsuhito Hasegawa

Denoising diffusion models (DDMs) offer a flexible framework for sampling from high dimensional data distributions. DDMs generate a path of probability distributions interpolating between a reference Gaussian distribution and a data…

Machine Learning · Statistics 2024-12-12 Christopher Williams , Andrew Campbell , Arnaud Doucet , Saifuddin Syed

Massive multiple-input multiple-output (MIMO) systems are strong candidates for future fifth generation (5G) heterogeneous cellular networks. For 5G, a network densification with a high number of different classes of users and data service…

Information Theory · Computer Science 2016-11-18 L. Arevalo , R. C. de Lamare , M. Haardt , R. Sampaio-Neto

Score-based diffusion models have emerged as powerful techniques for generating samples from high-dimensional data distributions. These models involve a two-phase process: first, injecting noise to transform the data distribution into a…

Machine Learning · Computer Science 2024-10-21 Runjia Li , Qiwei Di , Quanquan Gu

Diffusion models have quickly become some of the most popular and powerful generative models for high-dimensional data. The key insight that enabled their development was the realization that access to the score -- the gradient of the…

Machine Learning · Computer Science 2025-12-01 Zhenghan Fang , Mateo Díaz , Sam Buchanan , Jeremias Sulam

We propose a method for sampling from Gibbs distributions of the form $\pi(x)\propto\exp(-U(x))$ by considering a family $(\pi^{t})_t$ of approximations of the target density which is such that $\pi^{t}$ exhibits favorable properties for…

Optimization and Control · Mathematics 2025-10-10 Andreas Habring , Alexander Falk , Martin Zach , Thomas Pock

In order to solve tasks like uncertainty quantification or hypothesis tests in Bayesian imaging inverse problems, we often have to draw samples from the arising posterior distribution. For the usually log-concave but high-dimensional…

Computation · Statistics 2025-01-23 Matthias J. Ehrhardt , Lorenz Kuger , Carola-Bibiane Schönlieb