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Proposals for Metropolis-Hastings MCMC derived by discretizing Langevin diffusion or Hamiltonian dynamics are examples of stochastic autoregressive proposals that form a natural wider class of proposals with equivalent computability. We…

Computation · Statistics 2016-10-05 Richard A. Norton , Colin Fox

There has been growing interest in implementing massive MIMO systems by one-bit analog-to-digital converters (ADCs), which have the benefit of reducing the power consumption and hardware complexity. One-bit MIMO detection arises in such a…

Information Theory · Computer Science 2023-07-04 Cheng-Yang Yu , Mingjie Shao , Wei-Kun Chen , Ya-Feng Liu , Wing-Kin Ma

Efficient stochastic optimization typically integrates an update direction that performs well in the deterministic regime with a mechanism adapting to stochastic perturbations. While Adam uses adaptive moment estimates to promote stability,…

Machine Learning · Computer Science 2026-02-23 Minxin Zhang , Yuxuan Liu , Hayden Schaeffer

In this paper, we propose an information geometry approach (IGA) for signal detection (SD) in ultra-massive multiple-input multiple-output (MIMO) systems. We formulate the signal detection as obtaining the marginals of the a posteriori…

Information Theory · Computer Science 2024-01-05 Jiyuan Yang , Yan Chen , Xiqi Gao , Dirk Slock , Xiang-Gen Xia

In this paper, we reveal that artificial neural network (ANN) assisted multiple-input multiple-output (MIMO) signal detection can be modeled as ANN-assisted lossy vector quantization (VQ), named MIMO-VQ, which is basically a joint…

Signal Processing · Electrical Eng. & Systems 2020-04-02 Songyan Xue , Yi Ma , Na Yi , Terence E. Dodgson

Langevin diffusion processes and their discretizations are often used for sampling from a target density. The most convenient framework for assessing the quality of such a sampling scheme corresponds to smooth and strongly log-concave…

Probability · Mathematics 2018-12-27 Arnak S. Dalalyan , Lionel Riou-Durand

We propose a joint channel estimation and data detection algorithm for massive multilple-input multiple-output systems based on diffusion models. Our proposed method solves the blind inverse problem by sampling from the joint posterior…

Signal Processing · Electrical Eng. & Systems 2023-11-20 Nicolas Zilberstein , Ananthram Swami , Santiago Segarra

There has been considerable interest in designing Markov chain Monte Carlo algorithms by exploiting numerical methods for Langevin dynamics, which includes Hamiltonian dynamics as a deterministic case. A prominent approach is Hamiltonian…

Computation · Statistics 2021-06-08 Zexi Song , Zhiqiang Tan

The use of one-bit analog-to-digital converters (ADCs) is a practical solution for reducing cost and power consumption in massive Multiple-Input-Multiple-Output (MIMO) systems. However, the distortion caused by one-bit ADCs makes the data…

Signal Processing · Electrical Eng. & Systems 2020-09-02 Ly V. Nguyen , A. Lee Swindlehurst , Duy H. N. Nguyen

The inherent complexity of biological agents often leads to motility behavior that appears to have random components. Robust stochastic inference methods are therefore required to understand and predict the motion patterns from time…

Soft Condensed Matter · Physics 2024-11-14 Jan Albrecht , Manfred Opper , Robert Großmann

Multiple antennas have been exploited for spatial multiplexing and diversity transmission in a wide range of communication applications. However, most of the advances in the design of high speed wireless multiple-input multiple output…

Information Theory · Computer Science 2017-04-26 Yongpeng Wu , Chengshan Xiao , Zhi Ding , Xiqi Gao , Shi Jin

We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

Optimization and Control · Mathematics 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

Using a very low-resolution analog-to-digital convertor (ADC) unit at each antenna can remarkably reduce the hardware cost and power consumption of a massive multiple-input multiple-output (MIMO) system. However, such a pure low-resolution…

Information Theory · Computer Science 2016-11-17 Ti-Cao Zhang , Chao-Kai Wen , Shi Jin , Tao Jiang

In a K-best detector for multiple-input-multiple-output(MIMO) systems, the value of K needs to be sufficiently large to achieve near-maximum-likelihood (ML) performance. By treating K as a variable that can be adjusted according to a…

Signal Processing · Electrical Eng. & Systems 2022-08-10 Haomiao Huo , Jindan Xu , Gege Su , Wei Xu , Ning Wang

In this paper, we consider the generalised (higher order) Langevin equation for the purpose of simulated annealing and optimisation of nonconvex functions. Our approach modifies the underdamped Langevin equation by replacing the Brownian…

Probability · Mathematics 2023-11-01 Martin Chak , Nikolas Kantas , Grigorios A. Pavliotis

Multiple-input multiple-output (MIMO) system is the key technology for long term evolution (LTE) and 5G. The information detection problem at the receiver side is in general difficult due to the imbalance of decoding complexity and decoding…

Signal Processing · Electrical Eng. & Systems 2019-03-20 Qian Chen , Shunqing Zhang , Shugong Xu , Shan Cao

Massive multiple-input multiple-output (MIMO) technology has significantly enhanced spectral and power efficiency in cellular communications and is expected to further evolve towards extra-large-scale MIMO. However, centralized processing…

Information Theory · Computer Science 2024-10-23 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

Many complex systems, ranging from migrating cells to animal groups, exhibit stochastic dynamics described by the underdamped Langevin equation. Inferring such an equation of motion from experimental data can provide profound insight into…

Biological Physics · Physics 2026-04-17 David B. Brückner , Pierre Ronceray , Chase P. Broedersz

This paper formulates and solves a sequential detection problem that involves the mutual information (stochastic observability) of a Gaussian process observed in noise with missing measurements. The main result is that the optimal decision…

Optimization and Control · Mathematics 2015-05-30 Vikram Krishnamurthy , Robert Bitmead , Michel Gevers , Erik Miehling

Phase noise (PN) is a major disturbance in MIMO systems, where the contribution of different oscillators at the transmitter and the receiver side may degrade the overall performance and offset the gains offered by MIMO techniques. This is…

Information Theory · Computer Science 2024-05-14 Alberto Tarable , Francisco J. Escribano