Results 31 to 40 of about 33,492 (302)
The article provides a brief overview of the history milestones of scientific and pedagogical activity and the achievements of the Department of Probability Theory and Discrete Mathematics of Irkutsk State University for 50 years since its foundation.
O.V. Kuzmin
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Considerations on probability: from games of chance to modern science
The article sets out a number of considerations on the distinction between variability and uncertainty over the centuries. Games of chance have always been useful random experiments which through combinatorial calculation have opened the way to ...
Paola Monari
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Research on Universal Combinatorial Coding
The conception of universal combinatorial coding is proposed. Relations exist more or less in many coding methods. It means that a kind of universal coding method is objectively existent. It can be a bridge connecting many coding methods.
Jun Lu, Zhuo Zhang, Juan Mo
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On Singularities and Black Holes in Combination-Driven Models of Technological Innovation Networks. [PDF]
It has been suggested that innovations occur mainly by combination: the more inventions accumulate, the higher the probability that new inventions are obtained from previous designs.
Ricard Solé +2 more
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Short-length routes in low-cost networks via Poisson line patterns [PDF]
In designing a network to link n points in a square of area n, we might be guided by the following two desiderata. First, the total network length should not be much greater than the length of the shortest network connecting all points.
Aldous, James D. +3 more
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New families of subordinators with explicit transition probability semigroup
There exist only a few known examples of subordinators for which the transition probability density can be computed explicitly along side an expression for its Lévy measure and Laplace exponent.
Kuznetsov, Alexey +10 more
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Some aspects of teaching combinatorics and statistics
The paper deals with some definitions of combinatorial and statistical terms. Trying to find out why some certain knowledge of combinatory, probability theory ant statistics is difficult to acquire for pupils, some schoolbooks of mathematics are examined.
Algis Kavaliauskas, Inga Žilinskienė
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Combinatorial probability and the tightness of generalization bounds [PDF]
Accurate prediction of the generalization ability of a learning algorithm is an important problem in computational learning theory. The classical Vapnik-Chervonenkis (VC) generalization bounds are too general and therefore overestimate the expected error. Recently obtained data-dependent bounds are still overestimated.
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Stanley's character polynomials and coloured factorisations in the symmetric group
In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of ...
Rattan, Amarpreet, Rattan, A.
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Key Distribution System Based on Hadamard Designs
The problem of key distribution in a community for providing secure communication between its participants is studied. To solve this problem, key predistribution systems can be used, in which each user receives some key information that can later be used
Vladimir M. Deundyak, Alexey A. Taran
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