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Quantum error correction (QEC) is required for large-scale computation, but incurs a significant resource overhead. Recent advances have shown that by jointly decoding logical qubits in algorithms composed of transversal gates, the number…

In 1995, Best et al. published a formula for the exact bit error probability for Viterbi decoding of the rate R=1/2, memory m=1 (2-state) convolutional encoder with generator matrix G(D)=(1 1+D) when used to communicate over the binary…

Information Theory · Computer Science 2015-03-19 Irina E. Bocharova , Florian Hug , Rolf Johannesson , Boris D. Kudryashov

In this paper, we propose a very deep fully convolutional encoding-decoding framework for image restoration such as denoising and super-resolution. The network is composed of multiple layers of convolution and de-convolution operators,…

Computer Vision and Pattern Recognition · Computer Science 2016-09-02 Xiao-Jiao Mao , Chunhua Shen , Yu-Bin Yang

The advancement of deep learning has led to the development of neural decoders for low latency communications. However, neural decoders can be very complex which can lead to increased computation and latency. We consider iterative pruning…

Machine Learning · Computer Science 2022-11-17 Vikrant Malik , Rohan Ghosh , Mehul Motani

We present a quantum Viterbi algorithm (QVA) with better than classical performance under certain conditions. In this paper the proposed algorithm is applied to decoding classical convolutional codes, for instance; large constraint length…

Quantum Physics · Physics 2015-06-23 Jon R. Grice , David A. Meyer

We consider the concatenation of a convolutional code (CC) with an optimized cyclic redundancy check (CRC) code as a promising paradigm for good short blocklength codes. The resulting CRC-aided convolutional code naturally permits the use…

Information Theory · Computer Science 2022-02-11 Hengjie Yang , Ethan Liang , Minghao Pan , Richard Wesel

Polarization-adjusted convolutional (PAC) codes are special concatenated codes in which we employ a one-to-one convolutional transform as a pre-coding step before the polar transform. In this scheme, the polar transform (as a mapper) and…

Information Theory · Computer Science 2020-07-13 Mohammad Rowshan , Emanuele Viterbo

Distributed computing systems are well-known to suffer from the problem of slow or failed nodes; these are referred to as stragglers. Straggler mitigation (for distributed matrix computations) has recently been investigated from the…

Information Theory · Computer Science 2024-12-20 Anindya Bijoy Das , Aditya Ramamoorthy

The problem of low complexity, close to optimal, channel decoding of linear codes with short to moderate block length is considered. It is shown that deep learning methods can be used to improve a standard belief propagation decoder,…

Information Theory · Computer Science 2018-03-14 Eliya Nachmani , Elad Marciano , Loren Lugosch , Warren J. Gross , David Burshtein , Yair Beery

Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

In the literature there exists analytical expressions for the probability of a receiver decoding a transmitted source message that has been encoded using random linear network coding. In this work, we look into the probability that the…

Information Theory · Computer Science 2022-03-08 Jessica Claridge , Ioannis Chatzigeorgiou

This paper studies the joint design of optimal convolutional codes (CCs) and CRC codes when serial list Viterbi algorithm (S-LVA) is employed in order to achieve the target frame error rate (FER). We first analyze the S-LVA performance with…

Information Theory · Computer Science 2018-11-30 Hengjie Yang , Ethan Liang , Richard D. Wesel

Deep convolutional neural networks have proven to be well suited for image classification applications. However, if there is distortion in the image, the classification accuracy can be significantly degraded, even with state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Minho Ha , Younghoon Byeon , Youngjoo Lee , Sunggu Lee

In this paper, we propose an iterative source error correction (ISEC) decoding scheme for deep-learning-based joint source-channel coding (Deep JSCC). Given a noisy codeword received through the channel, we use a Deep JSCC encoder and…

Machine Learning · Computer Science 2023-02-21 Changwoo Lee , Xiao Hu , Hun-Seok Kim

Some state-of-art multimedia source encoders produce embedded source bit streams that upon the reliable reception of only a fraction of the total bit stream, the decoder is able reconstruct the source up to a basic quality. Reliable…

Multimedia · Computer Science 2014-03-04 Suayb S. Arslan

In this paper, we employ the linear systems representation of a convolutional code to develop a decoding algorithm for convolutional codes over the erasure channel. We study the decoding problem using the state space description and this…

Information Theory · Computer Science 2020-08-21 Julia Lieb , Joachim Rosenthal

We consider a broadcast channel with a degraded message set, in which a single transmitter sends a common message to two receivers and a private message to one of the receivers only. The main goal of this work is to find new lower bounds to…

Information Theory · Computer Science 2009-06-09 Yonatan Kaspi , Neri Merhav

A distributed lossy compression network with $L$ encoders and a decoder is considered. Each encoder observes a source and sends a compressed version to the decoder. The decoder produces a joint reconstruction of target signals with the mean…

Information Theory · Computer Science 2022-06-06 Siyao Zhou , Sadaf Salehkalaibar , Jingjing Qian , Jun Chen , Wuxian Shi , Yiqun Ge , Wen Tong

In diffusion based molecular communication, the intersymbol interference (ISI) is an important reason for system performance degradation, which is caused by the random movement, out-of-order arrival and indistinguishability of the…

Information Theory · Computer Science 2019-01-01 Hui Li , Qingchao Li

In this work we explore possibilities for coding and decoding tailor-made for mean squared error evaluation of error in contexts such as image transmission. To do so, we introduce a loss function that expresses the overall performance of a…

Information Theory · Computer Science 2014-11-06 Marcelo Firer , Luciano Panek , Jerry Anderson Pinheiro
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