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Datasets with sheer volume have been generated from fields including computer vision, medical imageology, and astronomy whose large-scale and high-dimensional properties hamper the implementation of classical statistical models. To tackle…

Statistics Theory · Mathematics 2023-05-30 Hang Yu , Zhenxing Dou , Zhiwei Chen , Xiaomeng Yan

We consider the problem of recovering the superposition of $R$ distinct complex exponential functions from compressed non-uniform time-domain samples. Total Variation (TV) minimization or atomic norm minimization was proposed in the…

Information Theory · Computer Science 2017-11-07 Weiyu Xu , Jirong Yi , Soura Dasgupta , Jian-Feng Cai , Mathews Jacob , Myung Cho

We introduce a new methodology for analyzing serial data by quantile regression assuming that the underlying quantile function consists of constant segments. The procedure does not rely on any distributional assumption besides serial…

Methodology · Statistics 2020-09-09 Laura Jula Vanegas , Merle Behr , Axel Munk

In a typical multi-standard military communication receiver, fast and reliable spectrum sensing unit is required to extract the information of multiple channels (frequency bands) present in a wideband input signal. In this paper, an energy…

Information Theory · Computer Science 2016-08-16 S. J. Darak , A. P. Vinod , E. M-K. Lai

Markov chain Monte Carlo samplers produce dependent streams of variates drawn from the limiting distribution of the Markov chain. With this as motivation, we introduce novel univariate kernel density estimators which are appropriate for the…

Methodology · Statistics 2016-07-29 Hang J. Kim , Steven N. MacEachern , Yoonsuh Jung

In order to reduce hardware complexity and power consumption, massive multiple-input multiple-output (MIMO) systems employ low-resolution analog-to-digital converters (ADCs) to acquire quantized measurements $\boldsymbol y$. This poses new…

Information Theory · Computer Science 2021-02-12 Shuai Huang , Deqiang Qiu , Trac D. Tran

Phase noise correction is crucial to exploit full advantage of orthogonal frequency division multiplexing (OFDM) in modern high-data-rate communications. OFDM channel estimation with simultaneous phase noise compensation has therefore drawn…

Information Theory · Computer Science 2017-04-25 Zhongju Wang , Prabhu Babu , Daniel P. Palomar

This paper considers estimation of a quantized constant in noise when using uniform and nonuniform quantizers. Estimators based on simple arithmetic averages, on sample statistical moments and on the maximum-likelihood procedure are…

Signal Processing · Electrical Eng. & Systems 2018-04-30 Antonio Moschitta , Johan Schoukens , Paolo Carbone

Goal: This paper deals with the problems that some EEG signals have no good sparse representation and single channel processing is not computationally efficient in compressed sensing of multi-channel EEG signals. Methods: An optimization…

Information Theory · Computer Science 2015-06-30 Yipeng Liu , Maarten De Vos , Sabine Van Huffel

Collecting the most informative data from a large dataset distributed over a network is a fundamental problem in many fields, including control, signal processing and machine learning. In this paper, we establish a connection between…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Xu Zhang , Marcos M. Vasconcelos

The purpose of this study was to find the most accurate model for radiochromic film dosimetry by comparing different channel independent perturbation models. A model selection approach based on (algorithmic) information theory was followed,…

Medical Physics · Physics 2015-05-05 Ignasi Méndez

This paper develops a channel estimation technique for millimeter wave (mmWave) communication systems. Our method exploits the sparse structure in mmWave channels for low training overhead and accounts for the phase errors in the channel…

Signal Processing · Electrical Eng. & Systems 2023-10-12 Weijia Yi , Nitin Jonathan Myers , Geethu Joseph

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

Statistics Theory · Mathematics 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

We develop an efficient algorithm for determining optimal adaptive quantum estimation protocols with arbitrary quantum control operations between subsequent uses of a probed channel. We introduce a tensor network representation of an…

High-dimensional matrix regression has been studied in various aspects, such as statistical properties, computational efficiency and application to specific instances including multivariate regression, system identification and matrix…

Statistics Theory · Mathematics 2024-03-06 Xin Li , Dongya Wu

A new smoothing method for the improvement on the identification and quantification of spectral functions based on the previous knowledge of the signals that are expected to be quantified, is presented. These signals are used as weighted…

Atomic Physics · Physics 2017-01-31 Leonardo Bennun

We consider the problem of recovering linear image of unknown signal belonging to a given convex compact signal set from noisy observation of another linear image of the signal. We develop a simple generic efficiently computable nonlinear…

Statistics Theory · Mathematics 2019-04-12 Anatoli Juditsky , Arkadi Nemirovski

Channel estimation is a critical task in extremely large-scale multiple-input multiple-output (XL-MIMO) systems for 6G wireless communications. A hybrid-field channel model effectively characterizes the mixed far-field and near-field…

Information Theory · Computer Science 2025-09-24 Dehui Yang , Feng Xi , Yanxian Zhu

We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexact, the rigorous enforcement of multichannel interpolation is…

Information Theory · Computer Science 2022-09-20 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

Quantum waveform estimation, in which quantum sensors sample entire time series, promises to revolutionize the sensing of weak and stochastic signals, such as the biomagnetic impulses emitted by firing neurons. For long duration signals…