Biased Boltzmann samplers and generation of extended linear languages with shuffle
This paper is devoted to the construction of Boltzmann samplers according to various distributions, and uses stochastic bias on the parameter of a Boltzmann sampler, to produce a sampler with a different distribution for the size of the output. As a significant application, we produce Boltzmann samp...
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| Published in: | Discrete mathematics and theoretical computer science Vol. DMTCS Proceedings vol. AQ,...; no. Proceedings; pp. 125 - 140 |
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| Main Authors: | , , , |
| Format: | Journal Article Conference Proceeding |
| Language: | English |
| Published: |
DMTCS
01.01.2012
Discrete Mathematics and Theoretical Computer Science Discrete Mathematics & Theoretical Computer Science |
| Series: | DMTCS Proceedings |
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| ISSN: | 1365-8050, 1462-7264, 1365-8050 |
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| Abstract | This paper is devoted to the construction of Boltzmann samplers according to various distributions, and uses stochastic bias on the parameter of a Boltzmann sampler, to produce a sampler with a different distribution for the size of the output. As a significant application, we produce Boltzmann samplers for words defined by regular specifications containing shuffle operators and linear recursions. This sampler has linear complexity in the size of the output, where the complexity is measured in terms of real-arithmetic operations and evaluations of generating functions. |
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| AbstractList | This paper is devoted to the construction of Boltzmann samplers according to various distributions, and uses stochastic bias on the parameter of a Boltzmann sampler, to produce a sampler with a different distribution for the size of the output. As a significant application, we produce Boltzmann samplers for words defined by regular specifications containing shuffle operators and linear recursions. This sampler has linear complexity in the size of the output, where the complexity is measured in terms of real-arithmetic operations and evaluations of generating functions. |
| Author | Panagiotou, Konstantinos Soria, Michele Darrasse, Alexis Roussel, Olivier |
| Author_xml | – sequence: 1 givenname: Alexis surname: Darrasse fullname: Darrasse, Alexis organization: Algorithmes, Programmes et Résolution – sequence: 2 givenname: Konstantinos surname: Panagiotou fullname: Panagiotou, Konstantinos organization: Max-Planck-Institut für Informatik – sequence: 3 givenname: Olivier surname: Roussel fullname: Roussel, Olivier organization: Algorithmes, Programmes et Résolution – sequence: 4 givenname: Michele surname: Soria fullname: Soria, Michele organization: Algorithmes, Programmes et Résolution |
| BackLink | https://inria.hal.science/hal-01197245$$DView record in HAL |
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| Title | Biased Boltzmann samplers and generation of extended linear languages with shuffle |
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