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We describe a variational approximation method for efficient inference in large-scale probabilistic models. Variational methods are deterministic procedures that provide approximations to marginal and conditional probabilities of interest.…

Artificial Intelligence · Computer Science 2011-05-30 T. S. Jaakkola , M. I. Jordan

We numerically investigate a mean-field Bayesian approach with the assistance of the Markov chain Monte Carlo method to estimate motion velocity fields and probabilistic models simultaneously in consecutive digital images described by…

Computer Vision and Pattern Recognition · Computer Science 2010-04-22 Yuya Inagaki , Jun-ichi Inoue

The near-field effect of short-range multiple-input multiple-output (MIMO) systems imposes many challenges on direction-of-arrival (DoA) estimation. Most conventional scenarios assume that the far-field planar wavefronts hold. In this…

Signal Processing · Electrical Eng. & Systems 2020-07-22 Yashuai Cao , Tiejun Lv , Zhipeng Lin , Pingmu Huang , Fuhong Lin

Sparse Bayesian learning (SBL) can be implemented with low complexity based on the approximate message passing (AMP) algorithm. However, it does not work well for a generic measurement matrix, which may cause AMP to diverge. Damped AMP has…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Man Luo , Qinghua Guo , Ming Jin , Yonina C. Eldar , Defeng , Huang , Xiangming Meng

Constructing a spatial map of environmental parameters is a crucial step to preventing hazardous chemical leakages, forest fires, or while estimating a spatially distributed physical quantities such as terrain elevation. Although prior…

Multiagent Systems · Computer Science 2018-03-21 Hyongju Park , Jinsun Liu , Matthew Johnson-Roberson , Ram Vasudevan

Integrated sensing and communication (ISAC) is emerging as a pivotal technology for next-generation wireless networks. However, existing ISAC systems are based on fixed-position antennas (FPAs), which inevitably incur a loss in performance…

Information Theory · Computer Science 2025-07-14 Jingze Ding , Zijian Zhou , Xiaodan Shao , Bingli Jiao , Rui Zhang

A near-field sensing (NISE) enabled predictive beamforming framework is proposed to facilitate wireless communications with high-mobility channels. Unlike conventional far-field sensing, which only captures the angle and the radial velocity…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Hao Jiang , Zhaolin Wang , Yuanwei Liu

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

Information Theory · Computer Science 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

We consider the problem of signal estimation in generalized linear models defined via rotationally invariant design matrices. Since these matrices can have an arbitrary spectral distribution, this model is well suited for capturing complex…

Machine Learning · Statistics 2022-06-10 Ramji Venkataramanan , Kevin Kögler , Marco Mondelli

Distributed inference/estimation in Bayesian framework in the context of sensor networks has recently received much attention due to its broad applicability. The variational Bayesian (VB) algorithm is a technique for approximating…

Machine Learning · Statistics 2020-11-30 Junhao Hua , Chunguang Li

Gaussian Process Motion Planning (GPMP) is a widely used framework for generating smooth trajectories within a limited compute time--an essential requirement in many robotic applications. However, traditional GPMP approaches often struggle…

Robotics · Computer Science 2025-04-08 Jiayun Li , Kay Pompetzki , An Thai Le , Haolei Tong , Jan Peters , Georgia Chalvatzaki

Multipath-based simultaneous localization and mapping (SLAM) is a promising approach to obtain position information of transmitters and receivers as well as information regarding the propagation environments in future mobile communication…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Lukas Wielandner , Alexander Venus , Thomas Wilding , Erik Leitinger

Localizing users and mapping the environment using radio signals is a key task in emerging applications such as low-latency communications and safety-critical navigation. Recently introduced multipath-based SLAM methods can jointly localize…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Xuhong Li , Benjamin J. B. Deutschmann , Erik Leitinger , Florian Meyer

Terrain elevation modeling for off-road navigation aims to accurately estimate changes in terrain geometry in real-time and quantify the corresponding uncertainties. Having precise estimations and uncertainties plays a crucial role in…

Robotics · Computer Science 2025-08-11 Sanghun Jung , Daehoon Gwak , Byron Boots , James Hays

We propose a scalable variational Bayes method for statistical inference for a single or low-dimensional subset of the coordinates of a high-dimensional parameter in sparse linear regression. Our approach relies on assigning a mean-field…

Machine Learning · Statistics 2025-08-12 Ismaël Castillo , Alice L'Huillier , Kolyan Ray , Luke Travis

Approximate Message Passing (AMP), originally developed to address high-dimensional linear inverse problems, has found widespread applications in signal processing and statistical inference. Among its notable variants, Vector Approximate…

Information Theory · Computer Science 2024-10-29 Qun Chen , Haochuan Zhang , Huimin Zhu

We consider the problem of estimating a variable number of parameters with a dynamic nature. A familiar example is finding the position of moving targets using sensor array observations. The problem is challenging in cases where either the…

Computation · Statistics 2015-04-03 Ashkan Panahi , Mats Viberg

Movable antenna (MA) introduces a new degree of freedom for future wireless communication systems by enabling the adaptive adjustment of antenna positions. Its large-range movement renders wireless channels transmission into the near-field…

Information Theory · Computer Science 2026-01-14 Chongjia Sun , Ziwei Wan , Lipeng Zhu , Zhenyu Xiao , Zhen Gao , Rui Zhang

Future wireless networks are envisioned to provide ubiquitous sensing services, which also gives rise to a substantial demand for high-dimensional non-convex parameter estimation, i.e., the associated likelihood function is non-convex and…

Signal Processing · Electrical Eng. & Systems 2023-10-10 Zhixiang Hu , An Liu , Minjian Zhao

While loopy belief propagation (LBP) performs reasonably well for inference in some Gaussian graphical models with cycles, its performance is unsatisfactory for many others. In particular for some models LBP does not converge, and in…

Machine Learning · Statistics 2015-05-28 Ying Liu , Venkat Chandrasekaran , Animashree Anandkumar , Alan S. Willsky