On a coding theorem connected with ‘useful’ entropy of order $\alpha $ and type $\beta $

Priti Jain; R. K. Tuteja

Displaying similar documents to “On a coding theorem connected with ‘useful’ entropy of order $α$ and type $β$ ”

On coding theorem connected with “useful” entropy of order- $β$ .

Jain, Priti, Tuteja, R.K. (1989)

International Journal of Mathematics and Mathematical Sciences

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Coding theorems on generalized cost measure.

Dar, Rayees Ahmad, Baig, M.A.K. (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Characterization of a quantitative-qualitative measure of inaccuracy

Harish C. Taneja, R. K. Tuteja (1986)

Kybernetika

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Metric entropy of convex hulls in Hilbert spaces

Wenbo Li, Werner Linde (2000)

Studia Mathematica

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Let T be a precompact subset of a Hilbert space. We estimate the metric entropy of co(T), the convex hull of T, by quantities originating in the theory of majorizing measures. In a similar way, estimates of the Gelfand width are provided. As an application we get upper bounds for the entropy of co(T), $T = t_{1}, t_{2}, . . .$ , $| | t_{j} | | \leq a_{j}$ , by functions of the $a_{j}$ ’s only. This partially answers a question raised by K. Ball and A. Pajor (cf. [1]). Our estimates turn out to be optimal in the case of slowly decreasing sequences...

On the sequence of numbers of the form $ε ₀ + ε ₁ q + . . . + ε_{n} q^{n}$ , $ε_{i} \in 0, 1$

Paul Erdős, István Joó, Vilmos Komornik (1998)

Acta Arithmetica

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Aggregated estimators and empirical complexity for least square regression

Jean-Yves Audibert (2004)

Annales de l'I.H.P. Probabilités et statistiques

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On some vector balancing problems

Apostolos Giannopoulos (1997)

Studia Mathematica

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Let V be an origin-symmetric convex body in $ℝ^{n}$ , n≥ 2, of Gaussian measure $γ_{n} (V) \geq 1 / 2$ . It is proved that for every choice $u_{1}, . . ., u_{n}$ of vectors in the Euclidean unit ball $B_{n}$ , there exist signs $ε_{j} \in - 1, 1$ with $ε_{1} u_{1} + . . . + ε_{n} u_{n} \in (c l o g n) V$ . The method used can be modified to give simple proofs of several related results of J. Spencer and E. D. Gluskin.

Displaying similar documents to “On a coding theorem connected with ‘useful’ entropy of order α and type β ”

On coding theorem connected with “useful” entropy of order- β .

Coding theorems on generalized cost measure.

Characterization of a quantitative-qualitative measure of inaccuracy

Metric entropy of convex hulls in Hilbert spaces

On the sequence of numbers of the form ε ₀ + ε ₁ q + . . . + ε n q n , ε i ∈ 0 , 1

Aggregated estimators and empirical complexity for least square regression

On some vector balancing problems

Displaying similar documents to “On a coding theorem connected with ‘useful’ entropy of order $α$ and type $β$ ”

On coding theorem connected with “useful” entropy of order- $β$ .

On the sequence of numbers of the form $ε ₀ + ε ₁ q + . . . + ε_{n} q^{n}$ , $ε_{i} \in 0, 1$