Results 231 to 240 of about 70,649 (267)
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Entropy-Based Random Number Evaluation
American Journal of Mathematical and Management Sciences, 1995SYNOPTIC ABSTRACTPrevious work has shown how to test a simple hypothesis of uniformity on the interval (0, 1) by using spacings-based estimates of entropy. In this paper we use Monte Carlo methods to extend previous tables of critical points and power for such entropy tests to the large sample sizes likely to be desirable when evaluating the output of ...
Edward J. Dudewicz +3 more
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Entropy estimation and Fibonacci numbers
SPIE Proceedings, 2013We introduce a new metric on a space of right-sided infinite sequences drawn from a finite alphabet. Emerging from a problem of entropy estimation of a discrete stationary ergodic process, the metric is important on its own part and exhibits some interesting properties.
Evgeniy A. Timofeev, Alexei Kaltchenko
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Mathematische Nachrichten, 1987
The authors study generalized inner entropy numbers \(f_ n(T,{\mathfrak A})\) and Gelfand numbers \(c_ n(T,{\mathfrak A})\) of an operator T relative to some operator ideal \({\mathfrak A}\). Denoting the ideal of those maps T for which \((f_ n(T({\mathfrak A}))_{n\in {\mathbb{N}}}\) belongs to the Lorentz sequence space \(\ell_{p,q}\) by \({\mathfrak ...
Carl, Bernd, Stephani, Irmtraud
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The authors study generalized inner entropy numbers \(f_ n(T,{\mathfrak A})\) and Gelfand numbers \(c_ n(T,{\mathfrak A})\) of an operator T relative to some operator ideal \({\mathfrak A}\). Denoting the ideal of those maps T for which \((f_ n(T({\mathfrak A}))_{n\in {\mathbb{N}}}\) belongs to the Lorentz sequence space \(\ell_{p,q}\) by \({\mathfrak ...
Carl, Bernd, Stephani, Irmtraud
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The Entropy Generation Minimisation based on the Revised Entropy Generation Number
International Journal of Exergy, 2010In the present work, an improved Entropy Generation Minimisation (EGM) approach aiming at minimising the revised entropy generation number which is the non-dimensionalised entropy by the ratio of heat flow to the input temperature of the cold fluid is developed for a plate-fin heat exchanger design with multiple design variables with the help of ...
Jiangfeng Guo, Lin Cheng, Mingtian Xu
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Entropy Numbers, Approximation Numbers, and Embeddings
1998For convenience, all spaces considered here will be over the complex field. Given any Banach spaces X and Y, L (X, Y) will stand for the space of all bounded linear maps from X to Y; we shall write L(X) instead of L(X, X). We also put B X = {x ∈ X : ‖x‖ ≤ 1}. Let T ∈ L(X, Y) and n ∈ ℕ.
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Entropy Numbers, Operators and Support Vector Kernels
1998We derive new bounds for the generalization error of feature space machines, such as support vector machines and related regularization networks by obtaining new bounds on their covering numbers. The proofs are based on a viewpoint that is apparently novel in the field of statistical learning theory.
Williamson, R. +2 more
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Entropy Numbers,s-Numbers, and Eigenvalues
2018AbstractThe geometric quantities entropy numbers, approximation numbers and n-widths are defined for compact linear maps, and connections with the analytic entities eigenvalues and essential spectra discussed. The celebrated inequality of Weyl between the approximation numbers and eigenvalues is established in the general context of Lorentz sequence ...
D. E. Edmunds, W. D. Evans
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Function Spaces, Entropy Numbers, Differential Operators
1996The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i ...
D. E. Edmunds, H. Triebel
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Entropy-Enhanced Random Number Generation
The paper "Entropy-Enhanced Random Number Generation" presents a lightweight hybrid RNG system combining software-based pseudo-random number generators (PRNGs) with analog entropy collected using a low-cost Arduino microcontroller. By integrating analog noise sources such as light or sound with XOR and SHA-256 hashing techniques, the system achieves ...Sudnyesh Nehare, Aryan Bhad
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