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Motivated by the settings where sensing the entire tensor is infeasible, this paper proposes a novel tensor compressed sensing model, where measurements are only obtained from sensing each lateral slice via mutually independent matrices.…

Machine Learning · Computer Science 2024-12-24 Tongle Wu , Ying Sun , Jicong Fan

We propose a new stochastic coordinate descent method for minimizing the sum of convex functions each of which depends on a small number of coordinates only. Our method (APPROX) is simultaneously Accelerated, Parallel and PROXimal; this is…

Optimization and Control · Mathematics 2014-03-04 Olivier Fercoq , Peter Richtárik

A distributed sensing protocol uses a network of local sensing nodes to estimate a global feature of the network, such as a weighted average of locally detectable parameters. In the noiseless case, continuous-variable multipartite…

Quantum Physics · Physics 2020-02-28 Quntao Zhuang , John Preskill , Liang Jiang

Polar codes with large kernels achieve optimal error exponents but are difficult to construct when low decoding complexity is also required. We address this challenge under recursive maximum likelihood decoding (RMLD) using a rein-forcement…

Information Theory · Computer Science 2025-05-09 Yi-Ting Hong , Stefano Rini , Luca Barletta

This article introduces a novel communication scheme, termed coded compressed sensing, for unsourced multiple-access communication. The proposed divide-and-conquer approach leverages recent advances in compressed sensing and forward error…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

This paper proposes robust nonlinear transform coding (Robust-NTC), a generalizable digital joint source-channel coding (JSCC) framework that couples variational latent modeling with channel-adaptive transmission. Unlike learning-based JSCC…

Signal Processing · Electrical Eng. & Systems 2026-04-24 Jihun Park , Junyong Shin , Jinsung Park , Yo-Seb Jeon

Compressed sensing is the art of reconstructing structured $n$-dimensional vectors from substantially fewer measurements than naively anticipated. A plethora of analytic reconstruction guarantees support this credo. The strongest among them…

Information Theory · Computer Science 2018-12-20 Peter Jung , Richard Kueng , Dustin G. Mixon

The sheer sizes of modern datasets are forcing data-structure designers to consider seriously both parallel construction and compactness. To achieve those goals we need to design a parallel algorithm with good scalability and with low…

Data Structures and Algorithms · Computer Science 2017-05-02 Leo Ferres , José Fuentes-Sepúlveda , Travis Gagie , Meng He , Gonzalo Navarro

Robust matrix completion aims to recover a low-rank matrix from a subset of noisy entries perturbed by complex noises, where traditional methods for matrix completion may perform poorly due to utilizing $l_2$ error norm in optimization. In…

Information Theory · Computer Science 2020-02-19 Yicong He , Fei Wang , Yingsong Li , Jing Qin , Badong Chen

We present a novel distributed computing framework that is robust to slow compute nodes, and is capable of both approximate and exact computation of linear operations. The proposed mechanism integrates the concepts of randomized sketching…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Burak Bartan , Mert Pilanci

Fault-tolerant quantum computing demands decoders that are fast, accurate, and adaptable to circuit structure and realistic noise. While machine learning (ML) decoders have demonstrated impressive performance for quantum memory, their use…

Quantum Physics · Physics 2025-09-16 J. Pablo Bonilla Ataides , Andi Gu , Susanne F. Yelin , Mikhail D. Lukin

Performance of regularized least-squares estimation in noisy compressed sensing is analyzed in the limit when the dimensions of the measurement matrix grow large. The sensing matrix is considered to be from a class of random ensembles that…

Information Theory · Computer Science 2016-02-08 Mikko Vehkapera , Yoshiyuki Kabashima , Saikat Chatterjee

In this paper, we tackle the compressive phase retrieval problem in the presence of noise. The noisy compressive phase retrieval problem is to recover a $K$-sparse complex signal $s \in \mathbb{C}^n$, from a set of $m$ noisy quadratic…

Information Theory · Computer Science 2016-06-03 Dong Yin , Kangwook Lee , Ramtin Pedarsani , Kannan Ramchandran

The performance of graph representation learning is affected by the quality of graph input. While existing research usually pursues a globally smoothed graph embedding, we believe the rarely observed anomalies are as well harmful to an…

Machine Learning · Computer Science 2023-08-14 Bingxin Zhou , Yuanhong Jiang , Yu Guang Wang , Jingwei Liang , Junbin Gao , Shirui Pan , Xiaoqun Zhang

In this letter, we consider a problem of reconstructing an unknown discrete signal taking values in a finite alphabet from incomplete linear measurements. The difficulty of this problem is that the computational complexity of the…

Information Theory · Computer Science 2015-03-19 Masaaki Nagahara

The last decade has witnessed the breakthrough of deep neural networks (DNNs) in many fields. With the increasing depth of DNNs, hundreds of millions of multiply-and-accumulate (MAC) operations need to be executed. To accelerate such…

Hardware Architecture · Computer Science 2022-11-29 Amro Eldebiky , Grace Li Zhang , Georg Boecherer , Bing Li , Ulf Schlichtmann

Autoencoders are a type of unsupervised neural networks, which can be used to solve various tasks, e.g., dimensionality reduction, image compression, and image denoising. An AE has two goals: (i) compress the original input to a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-24 Firas Laakom , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

CountSketch is a popular dimensionality reduction technique that maps vectors to a lower dimension using randomized linear measurements. The sketch supports recovering $\ell_2$-heavy hitters of a vector (entries with $v[i]^2 \geq…

Data Structures and Algorithms · Computer Science 2022-03-01 Edith Cohen , Xin Lyu , Jelani Nelson , Tamás Sarlós , Moshe Shechner , Uri Stemmer

This paper considers correlation clustering on unweighted complete graphs. We give a combinatorial algorithm that returns a single clustering solution that is simultaneously $O(1)$-approximate for all $\ell_p$-norms of the disagreement…

Data Structures and Algorithms · Computer Science 2024-03-12 Sami Davies , Benjamin Moseley , Heather Newman

We develop a primal dual active set with continuation algorithm for solving the \ell^0-regularized least-squares problem that frequently arises in compressed sensing. The algorithm couples the the primal dual active set method with a…

Optimization and Control · Mathematics 2014-03-04 Yuling Jiao , Bangti Jin , Xiliang Lu
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