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Compressed sensing deals with the reconstruction of sparse signals using a small number of linear measurements. One of the main challenges in compressed sensing is to find the support of a sparse signal. In the literature, several bounds on…

Information Theory · Computer Science 2009-11-26 Ali Hormati , Amin Karbasi , Soheil Mohajer , Martin Vetterli

In this work we consider the unbiased estimation of expectations w.r.t.~probability measures that have non-negative Lebesgue density, and which are known point-wise up-to a normalizing constant. We focus upon developing an unbiased method…

Computation · Statistics 2023-08-17 Hamza Ruzayqat , Neil K. Chada , Ajay Jasra

For the information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that…

Information Theory · Computer Science 2008-08-18 Marat V. Burnashev , Hirosuke Yamamoto

In distributed target-tracking sensor networks, efficient data gathering methods are necessary to save communication resources and assure information accuracy. This paper proposes a Feedback (FB) distributed data-gathering method which lets…

Systems and Control · Electrical Eng. & Systems 2025-08-07 Hyeongmin Choe , SooJean Han

In this paper, adaptive estimation based on noisy quantized observations is studied. A low complexity adaptive algorithm using a quantizer with adjustable input gain and offset is presented. Three possible scalar models for the parameter to…

Information Theory · Computer Science 2012-10-15 Rodrigo Cabral Farias , Jean-Marc Brossier

In passive monitoring using sensor networks, low energy supplies drastically constrain sensors in terms of calculation and communication abilities. Designing processing algorithms at the sensor level that take into account these constraints…

Applications · Statistics 2015-11-23 Augusto Zebadua , Pierre-Olivier Amblard , Eric Moisan , Olivier . J. J. Michel

Communication compression is a common technique in distributed optimization that can alleviate communication overhead by transmitting compressed gradients and model parameters. However, compression can introduce information distortion,…

Machine Learning · Computer Science 2024-01-12 Yutong He , Xinmeng Huang , Kun Yuan

Approximate numerical methods are one of the most used strategies to extract information from many-interacting-agents systems. In particular, numerical approximations are of extended use to deal with epidemic, ecological and biological…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Jose J. Ramasco , Raúl Toral

In high-dimensional statistical inference in which the number of parameters to be estimated is larger than that of the holding data, regularized linear estimation techniques are widely used. These techniques have, however, some drawbacks.…

Methodology · Statistics 2025-08-06 Takashi Takahashi , Yoshiyuki Kabashima

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal…

Information Theory · Computer Science 2012-10-17 Jun Fang , Yanning Shen , Hongbin Li

We propose a new method, {\it binary fused compressive sensing} (BFCS), to recover sparse piece-wise smooth signals from 1-bit compressive measurements. The proposed algorithm is a modification of the previous {\it binary iterative hard…

Computer Vision and Pattern Recognition · Computer Science 2014-02-21 Xiangrong Zeng , Mário A. T. Figueiredo

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

Information Theory · Computer Science 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

We provide another framework of iterative algorithms based on thresholding, feedback and null space tuning for sparse signal recovery arising in sparse representations and compressed sensing. Several thresholding algorithms with various…

Information Theory · Computer Science 2012-11-13 Shidong Li , Yulong Liu , Tiebin Mi

Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems. In contrast to priors given by sparsity, deep models can provide direct low-dimensional…

Optimization and Control · Mathematics 2018-12-12 Wen Huang , Paul Hand , Reinhard Heckel , Vladislav Voroninski

Generally speaking, the model training for recommender systems can be based on two types of data, namely explicit feedback and implicit feedback. Moreover, because of its general availability, we see wide adoption of implicit feedback data,…

Information Retrieval · Computer Science 2023-04-17 Yi Ren , Hongyan Tang , Jiangpeng Rong , Siwen Zhu

We propose a generalized feedback model and compressive sensing based opportunistic feedback schemes for feedback resource reduction in MIMO Broadcast Channels under the assumption that both uplink and downlink channels undergo block…

Information Theory · Computer Science 2015-02-17 Syed Qaseem , Tareq Al-Naffouri , Mohammed Eltayeb , Hamid Reza Bahrami

Unbiased data collection is essential to guaranteeing fairness in artificial intelligence models. Implicit bias, a form of behavioral conditioning that leads us to attribute predetermined characteristics to members of certain groups and…

Artificial Intelligence · Computer Science 2020-03-03 Rupam Acharyya , Shouman Das , Ankani Chattoraj , Oishani Sengupta , Md Iftekar Tanveer

We study the performance of estimators of a sparse nonrandom vector based on an observation which is linearly transformed and corrupted by additive white Gaussian noise. Using the reproducing kernel Hilbert space framework, we derive a new…

Statistics Theory · Mathematics 2010-09-20 Sebastian Schmutzhard , Alexander Jung , Franz Hlawatsch , Zvika Ben-Haim , Yonina C. Eldar

The theory of compressive sensing (CS) asserts that an unknown signal $\mathbf{x} \in \mathbb{C}^N$ can be accurately recovered from $m$ measurements with $m\ll N$ provided that $\mathbf{x}$ is sparse. Most of the recovery algorithms need…

Methodology · Statistics 2017-10-12 Jianfeng Wang , Zhiyong Zhou , Anders Garpebring , Jun Yu