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Sampling and quantization are standard practices in signal and image processing, but a theoretical understanding of their impact is incomplete. We consider discrete image registration when the underlying function is a one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Serap A. Savari

In this paper, we propose a new polar coding scheme for the unsourced, uncoordinated Gaussian random access channel. Our scheme is based on sparse spreading, treat interference as noise and successive interference cancellation (SIC). On the…

Information Theory · Computer Science 2020-07-14 Mengfan Zheng , Yongpeng Wu , Wenjun Zhang

We consider the problem of joint source and channel coding of structured data such as natural language over a noisy channel. The typical approach to this problem in both theory and practice involves performing source coding to first…

Information Theory · Computer Science 2018-02-21 Nariman Farsad , Milind Rao , Andrea Goldsmith

Recent work has precisely characterized the achievable trade-offs between three key information processing tasks---classical communication (generation or consumption), quantum communication (generation or consumption), and shared…

Quantum Physics · Physics 2012-06-22 Mark M. Wilde , Patrick Hayden , Saikat Guha

We construct an explicit quantum coding scheme which achieves a communication rate not less than the coherent information when used to transmit quantum information over a noisy quantum channel. For Pauli and erasure channels we also present…

Quantum Physics · Physics 2015-12-10 Joseph M. Renes , David Sutter , Frédéric Dupuis , Renato Renner

Sparse representations have proven their efficiency in solving a wide class of inverse problems encountered in signal and image processing. Conversely, enforcing the information to be spread uniformly over representation coefficients…

Machine Learning · Statistics 2017-12-29 Clément Elvira , Pierre Chainais , Nicolas Dobigeon

Noisy shuffling channels capture the main characteristics of DNA storage systems where distinct segments of data are received out of order, after being corrupted by substitution errors. For realistic schemes with short-length segments,…

Information Theory · Computer Science 2024-10-07 Javad Haghighat , Tolga M. Duman

We consider a cognitive radio network scenario where a primary transmitter and a secondary transmitter, respectively, communicate a message to their respective primary receiver and secondary receiver over a packet-based wireless link, using…

Information Theory · Computer Science 2015-12-11 Nan Li , Lars K. Rasmussen , Ming Xiao

We introduce Noise Recycling, a method that enhances decoding performance of channels subject to correlated noise without joint decoding. The method can be used with any combination of codes, code-rates and decoding techniques. In the…

Information Theory · Computer Science 2020-10-16 Alejandro Cohen , Amit Solomon , Ken R. Duffy , Muriel Médard

Storage systems have a strong need for substantially improving their error correction capabilities, especially for long-term storage where the accumulating errors can exceed the decoding threshold of error-correcting codes (ECCs). In this…

Information Theory · Computer Science 2018-11-12 Pulakesh Upadhyaya , Anxiao , Jiang

Sparse coding algorithms are about finding a linear basis in which signals can be represented by a small number of active (non-zero) coefficients. Such coding has many applications in science and engineering and is believed to play an…

Neural and Evolutionary Computing · Computer Science 2016-08-14 András Lőrincz , Zsolt Palotai , Gábor Szirtes

Sparse coding algorithm is an learning algorithm mainly for unsupervised feature for finding succinct, a little above high - level Representation of inputs, and it has successfully given a way for Deep learning. Our objective is to use High…

Machine Learning · Computer Science 2014-04-08 R. Vidya , Dr. G. M. Nasira , R. P. Jaia Priyankka

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

We consider the problem of revealing/sharing data in an efficient and secure way via a compact representation. The representation should ensure reliable reconstruction of the desired features/attributes while still preserve privacy of the…

Information Theory · Computer Science 2016-05-09 Kittipong Kittichokechai , Giuseppe Caire

Sparse dictionary coding represents signals as linear combinations of a few dictionary atoms. It has been applied to images, time series, graph signals and multi-way spatio-temporal data by jointly employing temporal and spatial…

Machine Learning · Computer Science 2025-09-15 Boya Ma , Abram Magner , Maxwell McNeil , Petko Bogdanov

Classically, coding theory has been concerned with the problem of transmitting a single message in a format which is robust to noise. Recently, researchers have turned their attention to designing coding schemes to make two-way…

Data Structures and Algorithms · Computer Science 2019-07-25 Bernhard Haeupler , Nicolas Resch

A lossy source coding problem is studied in which a source encoder communicates with two decoders, one with and one without correlated side information with an additional constraint on the privacy of the side information at the uninformed…

Information Theory · Computer Science 2011-06-13 Ravi Tandon , Lalitha Sankar , H. Vincent Poor

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

Sparse coding (SC) is attracting more and more attention due to its comprehensive theoretical studies and its excellent performance in many signal processing applications. However, most existing sparse coding algorithms are nonconvex and…

Machine Learning · Computer Science 2017-09-12 Xiaodong Feng , Zhiwei Tang , Sen Wu

In the field of interactive coding, two or more parties wish to carry out a distributed computation over a communication network that may be noisy. The ultimate goal is to develop efficient coding schemes that can tolerate a high level of…

Data Structures and Algorithms · Computer Science 2022-08-04 Ran Gelles , Yael T. Kalai , Govind Ramnarayan