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This paper investigates achievable information rates and error exponents of mismatched decoding when the channel belongs to the class of channels that are close to the decoding metric in terms of relative entropy. For both discrete- and…

信息论 · 计算机科学 2025-05-28 Priyanka Patel , Francesc Molina , Albert Guillén i Fàbregas

Consider a lossy compression system with $\ell$ distributed encoders and a centralized decoder. Each encoder compresses its observed source and forwards the compressed data to the decoder for joint reconstruction of the target signals under…

信息论 · 计算机科学 2018-07-19 Yizhong Wang , Li Xie , Xuan Zhang , Jun Chen

We introduce heterogeneous quantum error-correcting codes composed of qubit types with distinct error channels and study their performance in the code-capacity regime using maximum-likelihood tensor network decoding. In the regime where…

In this article, a heuristic approach is used to determined the best approximate distribution of $\dfrac{Y_1}{Y_1 + Y_2}$, given that $Y_1,Y_2$ are independent, and each of $Y_1$ and $Y$ is distributed as the $\mathcal{F}$-distribution with…

统计理论 · 数学 2023-12-20 I. Seidu , E. Nyarko , S. Iddi , E. Ranganai , K. Doku-Amponsah

The asymptotically optimal hypothesis testing problem with the general sources as the null and alternative hypotheses is studied under exponential-type error constraints on the first kind of error probability. Our fundamental philosophy in…

概率论 · 数学 2007-05-23 Te Sun Han

We consider a channel-independent decoder which is for i.i.d. random codes what the maximum mutual-information decoder is for constant composition codes. We show that this decoder results in exactly the same i.i.d. random coding error…

信息论 · 计算机科学 2018-11-06 Sergey Tridenski , Ram Zamir

We prove a new extremal inequality, motivated by the vector Gaussian broadcast channel and the distributed source coding with a single quadratic distortion constraint problems. As a corollary, this inequality yields a generalization of the…

信息论 · 计算机科学 2007-07-13 Tie Liu , Pramod Viswanath

The problem of joint source-channel coding in transmitting independent sources over interference channels with correlated receiver side information is studied. When each receiver has side information correlated with its own desired source,…

信息论 · 计算机科学 2008-10-15 Nan Liu , Deniz Gunduz , Andrea J. Goldsmith , H. Vincent Poor

We introduce a new quantum decoder based on a variant of the pretty good measurement, but defined via an alternative matrix quotient. We use this decoder to show new lower bounds on the error exponent both in the one-shot and asymptotic…

量子物理 · 物理学 2025-07-29 Salman Beigi , Marco Tomamichel

A common statistical situation concerns inferring an unknown distribution Q(x) from a known distribution P(y), where X (dimension n), and Y (dimension m) have a known functional relationship. Most commonly, n<m, and the task is relatively…

定量方法 · 定量生物学 2016-02-01 Jayajit Das , Sayak Mukherjee , Susan E. Hodge

A detection system with a single sensor and two detectors is considered, where each of the terminals observes a memoryless source sequence, the sensor sends a message to both detectors and the first detector sends a message to the second…

信息论 · 计算机科学 2018-10-09 Pierre Escamilla , Abdellatif Zaidi , Michèle Wigger

We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source of truly random bits $x \in \bits^n$, and $k$ parties, who have noisy versions of the source bits $y^i \in \bits^n$, where for all $i$ and…

概率论 · 数学 2007-05-23 Elchanan Mossel , Ryan O'Donnell

We prove the following exponential inequality: Let $n\geq 1$ and let $X_1,...,X_n$ be $n$ independent identically distributed symmetric real-valued random variables. For any $x,y>0$, we have \[\mathbb{P}\big({X_1+...+X_n}\geq x,\,…

概率论 · 数学 2014-10-21 Raphaël Cerf , Matthias Gorny

In this work, we consider decoupling a bipartite quantum state via a general quantum channel. We propose a joint state-channel decoupling approach to obtain a one-shot error exponent bound without smoothing, in which trace distance is used…

量子物理 · 物理学 2024-09-24 Hao-Chung Cheng , Frédéric Dupuis , Li Gao

This letter introduces a novel channel coding design framework for short-length codewords that permits balancing the tradeoff between the bit error rate floor and waterfall region by modifying a single real-valued parameter. The proposed…

信息论 · 计算机科学 2016-11-17 Mikel Hernaez , Pedro M. crespo , Javier Del Ser

We provide a tight asymptotic characterization of the error exponent for classical-quantum channel coding assisted by activated non-signaling correlations. Namely, we find that the optimal exponent--also called reliability function--is…

量子物理 · 物理学 2024-10-08 Aadil Oufkir , Marco Tomamichel , Mario Berta

Consider a remote estimation problem where a sensor wants to communicate the state of an uncertain source to a remote estimator over a finite time horizon. The uncertain source is modeled as an autoregressive process with bounded noise.…

系统与控制 · 计算机科学 2019-02-12 Mukul Gagrani , Yi Ouyang , Mohammad Rasouli , Ashutosh Nayyar

A procedure is described for estimating an optimum kernel for the detection by convolution of signals among Poissonian noise. The technique is applied to the detection of x-ray point sources in XMM-Newton data, and is shown to yield an…

天体物理学 · 物理学 2009-11-11 Ian Stewart

In this article, the estimation of reliability of a system is discussed $p(y<x)$ when strength, $X$, and stress, $Y$, are two independent exponential distribution with different scale parameters when the available data are type II Censored…

统计方法学 · 统计学 2008-01-08 A. M. Abd Elfattah , O. Mohamed Marwa

This paper studies the random-coding exponent of joint source-channel coding for the multiple-access channel with correlated sources. For each user, by defining a threshold, the messages of each source are partitioned into two classes. The…

信息论 · 计算机科学 2019-04-19 Arezou Rezazadeh , Josep Font-Segura , Alfonso Martinez , Albert Guillén i Fàbregas