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We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) performance of such a combination for a fixed number of…

Information Theory · Computer Science 2008-02-12 Satish Babu Korada , Ruediger Urbanke

The study is devoted to definition of generalized metrical and topological (informational entropy) characteristics of neural signals via their well-known theoretical models. We have shown that time dependence of action potential of neurons…

Neurons and Cognition · Quantitative Biology 2016-10-06 Z. Zh. Zhanabaev , T. Yu. Grevtseva , Y. T. Kozhagulov

Dual scattering channel (DSC) schemes generalize Johns' TLM algorithm in replacing transmission lines with abstract scattering channels in terms of paired distributions. A well known merit of TLM schemes is unconditional stability, a…

Numerical Analysis · Mathematics 2025-10-20 Steffen Hein

This paper presents a statistical block fading channel model for multiuser massive MIMO system. The proposed channel model is evolved from correlation based stochastic channel model (CBSCM) but in addition to the properties of CBSCM, it has…

Information Theory · Computer Science 2016-04-05 Suresh Dahiya

In this paper we establish some criteria to decide when a discrete memoryless channel admits a metric in such a way that the maximum likelihood decoding coincides with the nearest neighbour decoding. In particular we prove a conjecture…

Information Theory · Computer Science 2018-03-20 Claudio M. Qureshi

Channels with synchronization errors, such as deletion and insertion errors, are crucial in DNA storage, data reconstruction, and other applications. These errors introduce memory to the channel, complicating its capacity analysis. This…

Information Theory · Computer Science 2025-05-13 Busra Tegin , Tolga M Duman

We present an analytic method of assessing the typical performance of low-density parity-check codes on finite-state Markov channels. We show that this problem is similar to a spin-glass model on a `small-world' lattice. We apply our…

Disordered Systems and Neural Networks · Physics 2014-09-23 I. Neri , N. S. Skantzos

The topology of a network associated with a reservoir computer is often taken so that the connectivity and the weights are chosen randomly. Optimization is hardly considered as the parameter space is typically too large. Here we investigate…

Disordered Systems and Neural Networks · Physics 2021-01-19 Chad Nathe , Enrico Del Frate , Thomas Carroll , Louis Pecora , Afroza Shirin , Francesco Sorrentino

In the setting of a metric space equipped with a doubling measure supporting a Poincar\'e inequality, we show that BV functions are, in the sense of multiple limits, continuous with respect to a 1-fine topology, at almost every point with…

Analysis of PDEs · Mathematics 2015-12-09 Panu Lahti

Exponential error bounds achievable by universal coding and decoding are derived for frame-asynchronous discrete memoryless %asynchronous multiple access channels with two senders, via the method of subtypes, a refinement of the method of…

Information Theory · Computer Science 2020-02-04 Lóránt Farkas , Tamás Kói

We study connectivity preserving multivalued functions between digital images. This notion generalizes that of continuous multivalued functions studied mostly in the setting of the digital plane $Z^2$. We show that connectivity preserving…

Computer Vision and Pattern Recognition · Computer Science 2015-12-24 Laurence Boxer , P. Christopher Staecker

Recently, the authors showed that Reed-Muller (RM) codes achieve capacity on binary memoryless symmetric (BMS) channels with respect to bit error rate. This paper extends that work by showing that RM codes defined on non-binary fields,…

Information Theory · Computer Science 2023-05-16 Galen Reeves , Henry D. Pfister

This paper studies channel coding for the discrete memoryless multiple-access channel with a given (possibly suboptimal) decoding rule. A multi-letter successive decoding rule depending on an arbitrary non-negative decoding metric is…

Information Theory · Computer Science 2017-12-08 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

We show how to use properties of the quantum conditional mutual information to obtain continuity bounds for information characteristics of quantum channels depending on their input dimension. First we prove tight estimates for variation of…

Quantum Physics · Physics 2021-09-28 M. E. Shirokov

While Learned Data Compression (LDC) has achieved superior compression ratios, balancing precise probability modeling with system efficiency remains challenging. Crucially, uniform single-stream architectures struggle to simultaneously…

Computation and Language · Computer Science 2026-04-09 Huidong Ma , Xinyan Shi , Hui Sun , Xiaofei Yue , Xiaoguang Liu , Gang Wang , Wentong Cai

We consider the redundancy of the exact channel synthesis problem under an i.i.d. assumption. Existing results provide an upper bound on the unnormalized redundancy that is logarithmic in the block length. We show, via an improved scheme,…

Information Theory · Computer Science 2024-01-31 Sharang M. Sriramu , Aaron B. Wagner

In this paper, we are concerned with the reliability assessment of redundant multi-channel systems having multiple controllers with overlapping functionality -- where all controllers are required to respond optimally to the non-faulty…

Dynamical Systems · Mathematics 2015-03-27 Getachew K. Befekadu , Panos J. Antsaklis

Continuous Time Markov Chain (CMTC) is widely used to describe and analyze systems in several knowledge areas. Steady state availability is one important analysis that can be made through Markov chain formalism that allows researchers…

Performance · Computer Science 2017-01-24 Eduardo M. Vasconcelos

We characterize the capacity for the discrete-time arbitrarily varying channel with discrete inputs, outputs, and states when (a) the encoder and decoder do not share common randomness, (b) the input and state are subject to cost…

Information Theory · Computer Science 2022-05-16 Yihan Zhang , Sidharth Jaggi , Michael Langberg , Anand D. Sarwate

This paper studies the second-order asymptotics of coding rates for the discrete memoryless multiple-access channel with a fixed target error probability. Using constant-composition random coding, coded time-sharing, and a variant of…

Information Theory · Computer Science 2014-11-18 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas
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