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The use of L1 regularisation for sparse learning has generated immense research interest, with successful application in such diverse areas as signal acquisition, image coding, genomics and collaborative filtering. While existing work…

Machine Learning · Computer Science 2012-08-20 Shakir Mohamed , Katherine Heller , Zoubin Ghahramani

In this paper, relaxed belief propagation (RBP) based detectors are proposed for multiple-input multiple-out (MIMO) system. The factor graph is leveraged to represent the MIMO channels, and based on which our algorithms are developed.…

Information Theory · Computer Science 2015-03-19 Feichi Long , Tiejun Lv

The generalized belief propagation (GBP), introduced by Yedidia et al., is an extension of the belief propagation (BP) algorithm, which is widely used in different problems involved in calculating exact or approximate marginals of…

Machine Learning · Computer Science 2016-05-09 Farzin Haddadpour , Mahdi Jafari Siavoshani , Morteza Noshad

In this work, we propose a Bayesian type sparse deep learning algorithm. The algorithm utilizes a set of spike-and-slab priors for the parameters in the deep neural network. The hierarchical Bayesian mixture will be trained using an…

Numerical Analysis · Mathematics 2021-03-17 Yating Wang , Wei Deng , Lin Guang

In this paper, we study weakly-supervised laparoscopic image segmentation with sparse annotations. We introduce a novel Bayesian deep learning approach designed to enhance both the accuracy and interpretability of the model's segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Zhou Zheng , Yuichiro Hayashi , Masahiro Oda , Takayuki Kitasaka , Kensaku Mori

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

The spectrum environment map (SEM), which can visualize the information of invisible electromagnetic spectrum, is vital for monitoring, management, and security of spectrum resources in cognitive radio (CR) networks. In view of a limited…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Jie Wang , Qiuming Zhu , Zhipeng Lin , Qihui Wu , Yang Huang , Xuezhao Cai , Weizhi Zhong , Yi Zhao

This paper considers inference over distributed linear Gaussian models using factor graphs and Gaussian belief propagation (BP). The distributed inference algorithm involves only local computation of the information matrix and of the mean…

Machine Learning · Statistics 2018-01-01 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

The radio environment map (REM) visually displays the spectrum information over the geographical map and plays a significant role in monitoring, management, and security of spectrum resources.In this paper, we present an efficient 3D REM…

Signal Processing · Electrical Eng. & Systems 2024-03-14 Wang Jie , Zhu Qiuming , Lin Zhipeng , Chen Junting , Ding Guoru , Wu Qihui , Gu Guochen , Gao Qianhao

This work is a re-examination of the sparse Bayesian learning (SBL) of linear regression models of Tipping (2001) in a high-dimensional setting. We propose a hard-thresholded version of the SBL estimator that achieves, for orthogonal design…

Methodology · Statistics 2015-02-12 Yves Atchade , Chia Chye Yee

Energy consumption is an important issue in continuous wireless telemonitoring of physiological signals. Compressed sensing (CS) is a promising framework to address it, due to its energy-efficient data compression procedure. However, most…

Information Theory · Computer Science 2014-11-18 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Zhouyue Pi , Bhaskar D. Rao

Conventional frequentist FL schemes are known to yield overconfident decisions. Bayesian FL addresses this issue by allowing agents to process and exchange uncertainty information encoded in distributions over the model parameters. However,…

Machine Learning · Computer Science 2022-09-20 Jinu Gong , Osvaldo Simeone , Joonhyuk Kang

Block-sparse signal recovery without knowledge of block sizes and boundaries, such as those encountered in multi-antenna mmWave channel models, is a hard problem for compressed sensing (CS) algorithms. We propose a novel Sparse Bayesian…

Signal Processing · Electrical Eng. & Systems 2021-02-17 Aditya Sant , Markus Leinonen , Bhaskar D. Rao

The recovery of block-sparse signals with unknown structural patterns remains a fundamental challenge in structured sparse signal reconstruction. By proposing a variance transformation framework, this paper unifies existing pattern-based…

Optimization and Control · Mathematics 2026-04-13 Yanhao Zhang , Zhihan Zhu , Yong Xia

A major benefit of graphical models is that most knowledge is captured in the model structure. Many models, however, produce inference problems with a lot of symmetries not reflected in the graphical structure and hence not exploitable by…

Artificial Intelligence · Computer Science 2012-05-14 Kristian Kersting , Babak Ahmadi , Sriraam Natarajan

This paper proposes a low-computational Bayesian algorithm for noisy sparse recovery (NSR), called BHT-BP. In this framework, we consider an LDPC-like measurement matrices which has a tree-structured property, and additive white Gaussian…

Information Theory · Computer Science 2015-01-20 Jaewook Kang , Heung-No Lee , Kiseon Kim

A novel Gaussian mixture model (GMM) aided sparse Bayesian learning (SBL) framework is proposed for channel state information (CSI) estimation in orthogonal time-frequency space (OTFS) modulated systems. The key attribute of the proposed…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Surbhi Gehlot , Suraj Srivastava , Sandeep Kumar Yadav , Lajos Hanzo

Neural networks (NNs) are primarily developed within the frequentist statistical framework. Nevertheless, frequentist NNs lack the capability to provide uncertainties in the predictions, and hence their robustness can not be adequately…

Computational Engineering, Finance, and Science · Computer Science 2023-10-26 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

Sparse Bayesian learning is a state-of-the-art supervised learning algorithm that can choose a subset of relevant samples from the input data and make reliable probabilistic predictions. However, in the presence of high-dimensional data…

Machine Learning · Computer Science 2020-01-10 Bingbing Jiang , Chang Li , Maarten de Rijke , Xin Yao , Huanhuan Chen