Least squares superposition codes of moderate dictionary size are reliable at rates up to capacity

A Joseph, AR Barron - IEEE Transactions on Information …, 2012 - ieeexplore.ieee.org
For the additive white Gaussian noise channel with average codeword power constraint,
coding methods are analyzed in which the codewords are sparse superpositions, that is …

Fast Sparse Superposition Codes Have Near Exponential Error Probability for

A Joseph, AR Barron - IEEE transactions on information theory, 2013 - ieeexplore.ieee.org
For the additive white Gaussian noise channel with average codeword power constraint,
sparse superposition codes are developed. These codes are based on the statistical high …

Sparse regression codes

R Venkataramanan, S Tatikonda… - … and Trends® in …, 2019 - nowpublishers.com
Developing computationally-efficient codes that approach the Shannon-theoretic limits for
communication and compression has long been one of the major goals of information and …

Lossy compression via sparse linear regression: Computationally efficient encoding and decoding

R Venkataramanan, T Sarkar… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
We propose computationally efficient encoders and decoders for lossy compression using a
sparse regression code. The codebook is defined by a design matrix and codewords are …

Lossy compression via sparse linear regression: Performance under minimum-distance encoding

R Venkataramanan, A Joseph… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
We study a new class of codes for lossy compression with the squared-error distortion
criterion, designed using the statistical framework of high-dimensional linear regression …

Sparse regression codes for multi-terminal source and channel coding

R Venkataramanan, S Tatikonda - 2012 50th Annual Allerton …, 2012 - ieeexplore.ieee.org
We study a new class of codes for Gaussian multiterminal source and channel coding.
These codes are designed using the statistical framework of high-dimensional linear …

Gaussian rate-distortion via sparse linear regression over compact dictionaries

R Venkataramanan, A Joseph… - 2012 IEEE International …, 2012 - ieeexplore.ieee.org
We study a class of codes for compressing memoryless Gaussian sources, designed using
the statistical framework of high-dimensional linear regression. Codewords are linear …

Compressed FEC codes with spatial-coupling

C Liang, J Ma, L Ping - IEEE Communications Letters, 2017 - ieeexplore.ieee.org
An error floor problem is observed for a spatially coupled sparse-regression (SCSR) code
with limited sparsity in low-to-medium rates. This letter presents a scheme that also involves …

The rate-distortion function and excess-distortion exponent of sparse regression codes with optimal encoding

R Venkataramanan, S Tatikonda - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper studies the performance of sparse regression codes for lossy compression with
the squared-error distortion criterion. In a sparse regression code, code words are linear …

Fast sparse superposition codes have exponentially small error probability for R< C

A Joseph, A Barron - arXiv preprint arXiv:1207.2406, 2012 - arxiv.org
For the additive white Gaussian noise channel with average codeword power constraint,
sparse superposition codes are developed. These codes are based on the statistical high …