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Multidimensional scaling is an important dimension reduction tool in statistics and machine learning. Yet few theoretical results characterizing its statistical performance exist, not to mention any in high dimensions. By considering a…

统计方法学 · 统计学 2022-03-30 Xiucai Ding , Qiang Sun

This paper concerns the problem of estimating multidimensional (MD) frequencies using prior knowledge of the signal spectral sparsity from partial time samples. In many applications, such as radar, wireless communications, and…

信息论 · 计算机科学 2019-04-26 Yinchuan Li , Xu Zhang , Zegang Ding , Xiaodong Wang

The blind deconvolution problem amounts to reconstructing both a signal and a filter from the convolution of these two. It constitutes a prominent topic in mathematical and engineering literature. In this work, we analyze a sparse version…

信息论 · 计算机科学 2021-11-08 Axel Flinth , Ingo Roth , Benedikt Groß , Jens Eisert , Gerhard Wunder

We address the problem of recovering multiple structures of different classes in a dataset contaminated by noise and outliers. In particular, we consider geometric structures defined by a mixture of underlying parametric models (e.g. planes…

机器学习 · 计算机科学 2025-05-19 Luca Magri , Filippo Leveni , Giacomo Boracchi

Asymmetric Tensor PCA (ATPCA) is a prototypical model for studying the trade-offs between sample complexity, computation, and memory. Existing algorithms for this problem typically require at least…

机器学习 · 计算机科学 2026-04-14 Shihong Ding , Weicheng Lin , Cong Fang

An important receiver operation is to detect the presence specific preamble signals with unknown delays in the presence of scattering, Doppler effects and carrier offsets. This task, referred to as "link acquisition", is typically a…

信息论 · 计算机科学 2015-06-11 Xiao Li , Andrea Rueetschi , Anna Scaglione , Yonina C. Eldar

In frequency division duplex (FDD) massive MIMO systems, a major challenge lies in acquiring the downlink channel state information}\ (CSI) at the base station (BS) from limited feedback sent by the user equipment (UE). To tackle this…

信号处理 · 电气工程与系统科学 2025-09-11 Rajesh Shrestha , Mingjie Shao , Mingyi Hong , Wing-Kin Ma , Xiao Fu

This paper is concerned with the fundamental problem of estimating chirp parameters from a mixture of linear chirp signals. Unlike most previous methods, which solve the problem by discretizing the parameter space and then estimating the…

信号处理 · 电气工程与系统科学 2025-03-20 Dehui Yang , Feng Xi

Nonlinear adaptive filters often show some sparse behavior due to the fact that not all the coefficients are equally useful for the modeling of any nonlinearity. Recently, a class of proportionate algorithms has been proposed for nonlinear…

信号处理 · 电气工程与系统科学 2022-12-16 Danilo Comminiello , Michele Scarpiniti , Simone Scardapane , Luis A. Azpicueta-Ruiz , Aurelio Uncini

We explore a fundamental problem of super-resolving a signal of interest from a few measurements of its low-pass magnitudes. We propose a 2-stage tractable algorithm that, in the absence of noise, admits perfect super-resolution of an…

信息论 · 计算机科学 2014-03-10 Yuxin Chen , Yonina C. Eldar , Andrea J. Goldsmith

This work addresses the recovery and demixing problem of signals that are sparse in some general dictionary. Involved applications include source separation, image inpainting, super-resolution, and restoration of signals corrupted by…

信息论 · 计算机科学 2017-03-24 Fei Wen , Lasith Adhikari , Ling Pei , Roummel F. Marcia , Peilin Liu , Robert C. Qiu

The design of novel algorithms for solving inverse problems in signal processing is an incredibly difficult, heuristic-driven, and time-consuming task. In this short paper, we the idea of automated algorithm discovery in the signal…

机器学习 · 计算机科学 2025-12-29 Patrick Yubeaton , Sarthak Gupta , M. Salman Asif , Chinmay Hegde

Associative memories are data structures addressed using part of the content rather than an index. They offer good fault reliability and biological plausibility. Among different families of associative memories, sparse ones are known to…

神经与进化计算 · 计算机科学 2013-08-22 Ala Aboudib , Vincent Gripon , Xiaoran Jiang

Envisioned as the next-generation transceiver technology, the holographic multiple-input-multiple-output (HMIMO) garners attention for its superior capabilities of fabricating electromagnetic (EM) waves. However, the densely packed antenna…

信息论 · 计算机科学 2024-06-05 Yuqing Guo , Xufeng Guo , Yuanbin Chen , Ying Wang

In his article "Powerlist: A Structure for Parallel Recursion" Jayadev Misra wrote: "Many data parallel algorithms Fast Fourier Transform, Batcher's sorting schemes and prefix sum -exhibit recursive structure. We propose a data structure,…

分布式、并行与集群计算 · 计算机科学 2011-09-30 Roman Gitlin

Block sparsity is a widely exploited structure in sparse recovery, offering significant gains when signal blocks are known. Yet, practical signals often exhibit unknown block boundaries and isolated non-zero entries, which challenge…

信号处理 · 电气工程与系统科学 2026-02-05 Yanbin He , Geethu Joseph

Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

信息论 · 计算机科学 2016-11-24 M. Ferreira Da Costa , W. Dai

We study graph clustering in the Stochastic Block Model (SBM) in the presence of both large clusters and small, unrecoverable clusters. Previous convex relaxation approaches achieving exact recovery do not allow any small clusters of size…

机器学习 · 计算机科学 2025-02-25 Matthew Zurek , Yudong Chen

Hyperspectral Imaging is the acquisition of spectral and spatial information of a particular scene. Capturing such information from a specialized hyperspectral camera remains costly. Reconstructing such information from the RGB image…

图像与视频处理 · 电气工程与系统科学 2020-04-21 D. Sabari Nathan , K. Uma , D Synthiya Vinothini , B. Sathya Bama , S. M. Md Mansoor Roomi

We address the problem of reconstructing a multi-band signal from its sub-Nyquist point-wise samples. To date, all reconstruction methods proposed for this class of signals assumed knowledge of the band locations. In this paper, we develop…

元胞自动机与格子气 · 物理学 2007-09-12 Moshe Mishali , Yonina C. Eldar