Search results

...PBMC "virogram assay" for precision medicine: Concordance between ex vivo and in vivo viral infection transcriptomes|first1=Vincent|last1=Gardeux|first2= ...(Y)}}, with the blue being <math>H(Y|X)</math>. The violet is the [[mutual information]] {{tmath|I(X;Y)}}. ...

...at describes a relationship involving the entropy of certain metric spaces and the concentration of measure phenomenon. It is named after the mathematicia ...of radius <math>\epsilon</math> required to cover <math>T</math>. Dudley's entropy integral is then given by the formula: ...

In [[mathematics]], an '''information source''' is a sequence of [[random variable]]s ranging over a [[Alphabet ( The '''uncertainty''', or '''[[entropy rate]]''', of an information source is defined as ...

...tum mechanics]], and especially [[quantum information processing]], the '''entropy exchange''' of a [[quantum operation]] <math>\phi \,</math> acting on the [ ...) \,</math> is the [[von Neumann entropy]] of the system <math>Q \,</math> and a fictitious [[Purification of quantum state|purifying]] auxiliary system < ...

...lity in [[information theory]] relating the [[Entropy (information theory)|entropy]] of a set of variables to the entropies of a collection of subsets. It is ...ets of {1,&nbsp;2,&nbsp;...,&nbsp;''d''} such that every integer between 1 and ''d'' lies in at least ''r'' of these subsets, then ...

{{Short description|Notion in information theory}} {{Information theory}} ...

...ntelligent Systems: 2nd International Conference on Information Processing and Management of Uncertainty in Knowledge Based Systems IPMU '88. Urbino, Ital Let <math>G = (V, E)</math> be an [[undirected graph]]. The graph entropy of <math>G</math>, denoted <math>H(G)</math> is defined as ...

...d to be positive in the [[Maximum entropy probability distribution|maximum entropy]] procedure, the [[q-exponential distribution]] is derived. ...cs]], [[geology]], [[anatomy]], [[astronomy]], [[economics]], [[finance]], and [[machine learning]]. The distributions are often used for their [[heavy ta ...

...]]. This entropy of paths is sometimes called the "caliber" of the system, and is given by the path integral ''The Minimum Entropy Production Principle'' in the context of deriving a principle for [[non-equ ...

...siteit Leuven|KU Leuven]]. Koenraad M. R. Audenaert is a Belgian physicist and civil engineer. He currently works at [[University of Ulm]]. For any two density matrices <math>\rho</math> and <math>\sigma</math> of dimensions <math>d</math>, ...

...H(A|B)\,=\,H(AB)-H(B) \, .</math> with <math>H(A)</math> the [[Von Neumann entropy]], <math>H(A):=-Tr\rho_A\log\rho_A</math>. It thus provides an operational ...this amount of entanglement can be gained, rather than used. Thus quantum information can be negative. ...

...which "merges" all the variables into one, preserving at least some of the entropy contained in the uniformly random variable. Mergers are currently used in o ==Intuition and definition== ...

..., Parameter 2) (5457977862).jpg|thumb|South Africa Inequality: Generalized Entropy Measure]] ...versity]] as entropy has also been proposed leading to uses of generalized entropy to quantify biodiversity.<ref>{{cite journal|last1=Pielou|first1=E.C.|title ...

{{short description|Term in quantum information theory}} ...on]]). Its role is analogous to that of the [[typical set]] in classical [[information theory]]. ...

...ed by [[Alexander Friedmann]] for the particular case of a [[perfect gas]] and published in 1922:<ref>Friedmann A. An essay on hydrodynamics of compressib ...hung der Bewegung der Gase mit Rotation]. [[Journal of Applied Mathematics and Mechanics|ZAMM]], Vol. 17, Issue 1, pp. 1–7, 1937. DOI: 10.1002/zamm.193701 ...

...description|Measure of distance between two clusterings related to mutual information}} ...ual information. Unlike the mutual information, however, the variation of information is a true [[metric (mathematics)|metric]], in that it obeys the [[triangle ...

...ref> to reduce a bias towards multi-valued attributes by taking the number and size of branches into account when choosing ...ats.stackexchange.com/q/13389 | title=Information gain, mutual information and related measures}}</ref> ...

...ation needed|date=July 2012}} and is based on the concept of [[information entropy]]. ...;=&nbsp;''P_X,Y''(''x'',&nbsp;''y'')/''P_X''(''x'')}}, and calculating the various entropies, we can determine the degree of associati ...

...of bipartite qubit states that are frequently used in quantum information and quantum computation theory.<ref name=":0">{{Cite journal |last1=Horodecki | ...i |first1=Ryszard |last2=Horodecki |first2=Michal/ |date=1996-09-01 |title=Information-theoretic aspects of inseparability of mixed states |url=https://link.aps.o ...

...ntum states]]. It is a "one-shot" analogue of [[quantum relative entropy]] and shares many properties of the latter quantity. ...characterization of resource requirements. <math>\epsilon</math>-relative entropy is one such particularly interesting measure. ...