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We study a class of Approximate Message Passing (AMP) algorithms for symmetric and rectangular spiked random matrix models with orthogonally invariant noise. The AMP iterates have fixed dimension $K \geq 1$, a multivariate non-linearity is…

统计理论 · 数学 2024-06-14 Xinyi Zhong , Tianhao Wang , Zhou Fan

We propose efficient and low-complexity multiuser detection (MUD) algorithms for Gaussian multiple access channel (G-MAC) for short-packet transmission in massive machine type communications. To do so, we first formulate the G-MAC MUD…

信息论 · 计算机科学 2024-03-26 Mostafa Mohammadkarimi , Masoud Ardakani

Word2Vec is a prominent model for natural language processing (NLP) tasks. Similar inspiration is found in distributed embeddings for new state-of-the-art (SotA) deep neural networks. However, wrong combination of hyper-parameters can…

计算与语言 · 计算机科学 2021-04-20 Tosin P. Adewumi , Foteini Liwicki , Marcus Liwicki

In stochastic variational inference, the variational Bayes objective function is optimized using stochastic gradient approximation, where gradients computed on small random subsets of data are used to approximate the true gradient over the…

统计方法学 · 统计学 2015-10-19 Linda S. L. Tan , David J. Nott

We consider compressive imaging problems, where images are reconstructed from a reduced number of linear measurements. Our objective is to improve over existing compressive imaging algorithms in terms of both reconstruction error and…

信息论 · 计算机科学 2015-06-19 Jin Tan , Yanting Ma , Dror Baron

Many safety-critical real-world problems, such as autonomous driving and collaborative robots, are of a distributed multi-agent nature. To optimize the performance of these systems while ensuring safety, we can cast them as distributed…

系统与控制 · 电气工程与系统科学 2025-08-20 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

We address the problem of blind gain and phase calibration of a sensor array from ambient noise. The key motivation is to ease the calibration process by avoiding a complex procedure setup. We show that computing the sample covariance…

仪器与探测器 · 物理学 2023-03-22 Charles Vanwynsberghe , Simon Bouley , Jérôme Antoni

Medical diagnostic testing can be made significantly more efficient using pooled testing protocols. These typically require a sparse infection signal and use either binary or real-valued entries of O(1). However, existing methods do not…

统计力学 · 物理学 2024-03-15 Mansoor Sheikh , David Saad

In this paper, we consider the problem of recovering random graph signals from nonlinear measurements. We formulate the maximum a-posteriori probability (MAP) estimator, which results in a nonconvex optimization problem. Conventional…

信号处理 · 电气工程与系统科学 2024-10-28 Guy Sagi , Tirza Routtenberg

We propose a new approach to sequential testing which is an adaptive (on-line) extension of the (off-line) framework developed in [10]. It relies upon testing of pairs of hypotheses in the case where each hypothesis states that the vector…

统计理论 · 数学 2017-02-27 Anatoli Juditsky , Arkadi Nemirovski

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath

Approximate message passing (AMP) emerges as an effective iterative paradigm for solving high-dimensional statistical problems. However, prior AMP theory -- which focused mostly on high-dimensional asymptotics -- fell short of predicting…

统计理论 · 数学 2023-03-20 Gen Li , Yuting Wei

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

机器学习 · 统计学 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

The soft-margin support vector machine (SVM) is a ubiquitous tool for prediction of binary-response data. However, the SVM is characterized entirely via a numerical optimization problem, rather than a probability model, and thus does not…

统计方法学 · 统计学 2020-07-24 Hien D Nguyen , Daniel V Fryer

Bayesian optimal sensor placement, in its full generality, seeks to maximize the mutual information between uncertain model parameters and the predicted data to be collected from the sensors for the purpose of performing Bayesian inference.…

应用统计 · 统计学 2019-06-17 Pinaky Bhattacharyya , James L. Beck

In this paper we present two new approaches to efficiently solve large-scale compressed sensing problems. These two ideas are independent of each other and can therefore be used either separately or together. We consider all possibilities.…

机器学习 · 统计学 2013-12-17 Robert Vanderbei , Han Liu , Lie Wang , Kevin Lin

To improve the convergence property of approximate message-passing (AMP), convolutional AMP (CAMP) has been proposed. CAMP replaces the Onsager correction in AMP with a convolution of messages in all preceding iterations while it uses the…

信息论 · 计算机科学 2021-05-11 Keigo Takeuchi

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

最优化与控制 · 数学 2023-04-10 Prithvi Akella , Aaron D. Ames

Compressed sensing is a signal processing scheme that reconstructs high-dimensional sparse signals from a limited number of observations. In recent years, various problems involving signals with a finite number of discrete values have been…

统计力学 · 物理学 2024-08-20 Mikiya Doi , Masayuki Ohzeki

Compressed sensing, allows to acquire compressible signals with a small number of measurements. In applications, a hardware implementation often requires a calibration as the sensing process is not perfectly known. Blind calibration, that…

统计力学 · 物理学 2021-03-22 Marylou Gabrié , Jean Barbier , Florent Krzakala , Lenka Zdeborová
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