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Von Neumann entropy
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_{A})+S(\rho _{B})-S(\rho _{AB}),} which can also be expressed in terms of conditional entropy: S ( A : B ) = S ( A ) − S ( A | B ) = S ( B ) − S ( B | A ) . {\displaystyleState-merging (413 words) [view diff] exact match in snippet view article find links to article
to this quantity. Unlike its classical counterpart, the quantum conditional entropy can be negative. In this case, the sender can transfer the stateSymbolic dynamics (940 words) [view diff] exact match in snippet view article find links to article
to layered dynamical systems, introducing the concept of symbolic conditional entropy, thus expanding symbolic dynamics to more abstract informationalRelevance (1,725 words) [view diff] exact match in snippet view article find links to article
the values of measurable hypotheses or observation statements. The conditional entropy of an observation variable e conditioned on a variable h characterizingMin-entropy (2,716 words) [view diff] exact match in snippet view article find links to article
A {\displaystyle A} and Bob to system B {\displaystyle B} . The conditional entropy measures the average uncertainty Bob has about Alice's state uponTopological entropy (1,744 words) [view diff] exact match in snippet view article find links to article
dimension Recent studies have extended topological entropy to symbolic conditional entropy in layered dynamical systems, generalizing classical entropy measuresQuantum relative entropy (2,421 words) [view diff] exact match in snippet view article find links to article
I(A:B) is the quantum mutual information and S(B|A) is the quantum conditional entropy. Nielsen, Michael A.; Chuang, Isaac L. (2010). Quantum computationFourier–Motzkin elimination (2,492 words) [view diff] exact match in snippet view article find links to article
I(X_{1};X_{2})=H(X_{1})-H(X_{1}|X_{2})} and the non-negativity of conditional entropy, i.e., H ( X 1 | X 2 ) ≥ 0 {\displaystyle H(X_{1}|X_{2})\geq 0}Cluster analysis (9,513 words) [view diff] exact match in snippet view article find links to article
S2CID 93003939. Rosenberg, Andrew, and Julia Hirschberg. "V-measure: A conditional entropy-based external cluster evaluation measure." Proceedings of the 2007Old Norse (9,016 words) [view diff] case mismatch in snippet view article find links to article
Moberg, J.; Gooskens, C.; Nerbonne, J.; Vaillette, N. (2007), "4. Conditional Entropy Measures Intelligibility among Related Languages", Proceedings ofVoynich manuscript (14,092 words) [view diff] exact match in snippet view article find links to article
languages are measured using a metric called h2, or second-order conditional entropy. Natural languages tend to have an h2 between 3 and 4, but VoynicheseIndus Valley Civilisation (21,172 words) [view diff] case mismatch in snippet view article find links to article
Wayback Machine Retrieved on 19 September 2009.[full citation needed] 'Conditional Entropy' Cannot Distinguish Linguistic from Non-linguistic Systems ArchivedRobert Schrader (1,601 words) [view diff] case mismatch in snippet view article find links to article
S2CID 16321746. Schrader, R. (2000). "On a Quantum Version of Shannon's Conditional Entropy". Fortschritte der Physik. 48 (8): 747–762. arXiv:quant-ph/0003048