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ON A COMBINATORIAL PROBLEM OF PROBABILITY

CURRENT PROBLEMS OF TEACHING MATHEMATICS AT TECHNICAL UNIVERSITY, 2023
The paper considers an example of Olympiad-type tasks offered to students in order to stimulate independent work. For the right decision, additional points were added to the rating. The solution of the problem is reduced to the recalculation of permutations of a certain type for a sufficiently large number of elements.
L. G. Vetrov, A. L. Sunchalina
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Combinatorial properties of personal probabilities

Organizational Behavior and Human Performance, 1972
Abstract The experiment examined the degree to which personal probabilities, subjective probabilities which need not have objective counterparts, conform to probability theory. Subjects gave personal probability estimates for complex and elementary events.
Scott Barclay, Lee Roy Beach
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Cover-based combinatorial bounds on probability of overfitting

Doklady Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Frey, A. I., Tolstikhin, I. O.
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Probability evolutionary algorithm for functional and combinatorial optimization

2008 7th World Congress on Intelligent Control and Automation, 2008
A novel evolutionary algorithm called probability evolutionary algorithm (PEA) is proposed, which is inspired by the quantum computation and quantum-inspired evolutionary algorithm (QEA). The individual in PEA is encoded by a probabilistic superposed bit which can represent a linear superposition of the states 0 to k (k ges 1).
null Shuhan Shen, null Yuncai Liu
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Probably Approximately Efficient Combinatorial Auctions via Machine Learning

Proceedings of the AAAI Conference on Artificial Intelligence, 2017
A well-known problem in combinatorial auctions (CAs) is that the value space grows exponentially in the number of goods, which often puts a large burden on the bidders and on the auctioneer. In this paper, we introduce a new design paradigm for CAs based on machine learning (ML).
Gianluca Brero   +2 more
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EXTREMAL ESTIMATES OF PROBABILITY MEASURES AND THEIR COMBINATORIAL NATURE

Mathematics of the USSR-Izvestiya, 1983
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 46, 535-568 (Russian) (1982; Zbl 0513.60013).
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Fast reliability analysis of combinatorial logic circuits using conditional probabilities

Microelectronics Reliability, 2010
Probabilistic reliability analysis is a common approach in logic circuit reliability analysis. Existing methods suffer from accuracy or scalability problems for large circuits because of combinatorial explosion. In this work we show how the use of conditional probabilities can overcome scalability problems while maintaining accurate reliability ...
J. Torras Flaquer   +3 more
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Distance-Based Exponential Probability Models for Constrained Combinatorial Problems

2018
Estimation of Distribution Algorithms (EDAs) have already demonstrated their utility when solving a broad range of combinatorial problems. However, there is still room for methodological improvement when approaching problems with constraints. The great majority of works in the literature implement repairing or penalty schemes, or use ad-hoc sampling ...
Josu Ceberio   +2 more
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