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Associate Professor Shannon Takala Harrison,Department of Microbiology & Immunology at University of Maryland,Dr. Takala received her B.S. in Zoology from Brigham Young University in 1999, after which...
Shannon’s Rate-Distortion Theory describes the number of bits needed to approximately represent typical realizations of a stochastic process X = (X(t) : t ∈ T),while Kolmogorov’s -entropy describes...
Duhok, a mountainous city in Kurdistan Region of Iraq, has witnessed rapid urban growth over the past decade due to population growth and economic improvements. These factors have placed a great p...
This paper presents an analysis of spinal codes, a class of rateless codes proposed recently. We prove that spinal codes achieve Shannon capacity for the binary symmetric channel (BSC) and the additiv...
本文运用广义离散Shannon奇异核褶积微分算子(GDSCD)计算波动方程的空间导数,推导了一阶和二阶GDSCD的具体形式,并提出了系数优化方法,即在频率域逼近平面波的真实导数,得到不同半径和采样下限的最优权系数。通过计算滤波响应分析算子精度,与多种数值方法进行了对比。模型试算结果表明,本文构造的最优化GDSCD方法模拟地震波具有高精度、高效率的特点。
This paper is aimed at developing a better understanding of the structure of the information that in contained in galaxy surveys, so as to find optimal ways to combine observables from such surveys. W...
In this paper, we derive the exact analytical expressions of entropy for the FellerPareto(FP) family and order statistics of FP subfamilies. The FP family is a very general unimodal distribution which...
Filyokov and Karpov [Inzhenerno-Fizicheskii Zhurnal 13, 624 (1967)] have proposed a theory of non-equilibrium steady states in direct analogy with the theory of equilibrium states : the principle is ...
本文在前人工作的基础上,建立了一种基于Shannon奇异核的交错网格褶积微分算子方法.文中不仅详细讨论了影响算子精度的各种因素,同时也着重分析了其在弹性波模拟中的频散关系和稳定性条件.通过和交错网格有限差分算子比较,发现该算子即使在高波数域也具有较高的精度.均匀介质中的数值试验也表明,该方法9点格式就基本上达到了解析解精度.而分层均匀介质和复杂介质中的地震波数值模拟也同时证实了该方法精度高,稳定性...
本文在前人工作的基础上,建立了一种基于Shannon奇异核的交错网格褶积微分算子方法.文中不仅详细讨论了影响算子精度的各种因素,同时也着重分析了其在弹性波模拟中的频散关系和稳定性条件.通过和交错网格有限差分算子比较,发现该算子即使在高波数域也具有较高的精度.均匀介质中的数值试验也表明,该方法9点格式就基本上达到了解析解精度.而分层均匀介质和复杂介质中的地震波数值模拟也同时证实了该方法精度高,稳定性...
We give optimal trade-offs between classical communication, quantum communication, and entanglement for processing information in the Shannon-theoretic setting. We first prove a "unit-resource" capaci...
The Tsallis nonextensive entropy of the statistical physics literature exactly matches the previously defined Havrda-Charvat structural α-entropy of information theory. We offer three novel results ...
该文通过概率空间上的任意分布与另一任意分布相比较,研究任意随机序列相对熵密度的小偏差定理.并由此得出若干任意信源, $m$阶马氏信源的Shannon-Mcmillan定理.将已有的关于离散信源的结果加以推广.
IIt is demonstrated that the entropy of statistical mechanics and of information theory, $S({\bf p}) = -\sum p_i \log p_i $ may be viewed as a measure of correlation. Given a probability distribution...

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