Littérature scientifique sur le sujet « Dirichlet »

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Articles de revues sur le sujet "Dirichlet"

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Guo, Bao Zhu. « Further results for a one-dimensional linear thermoelastic equation with Dirichlet-Dirichlet boundary conditions ». ANZIAM Journal 43, no 3 (janvier 2002) : 449–62. http://dx.doi.org/10.1017/s1446181100012621.

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AbstractWe show that a sequence of generalized eigenfunctions of a one-dimensional linear thermoelastic system with Dirichiet-Dirichlet boundary conditions forms a Riesz basis for the state Hilbert space. This develops a parallel result for the same system with Dirichlet-Neumann or Neumann-Dirichlet boundary conditions.
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Duan, Yu, et Hong Jian Luo. « The Calculation and Estimate of Interval-Valued and Fuzzy Dirichlet Series Coefficient ». Applied Mechanics and Materials 325-326 (juin 2013) : 1515–18. http://dx.doi.org/10.4028/www.scientific.net/amm.325-326.1515.

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This article gives the definition of interval-valued Dirichlet series. Based on [1, , this article discusses some properties about the coefficient of interval-valued and fuzzy Dirichlet series. Ihe calculation of coefficient , of interval-valued Dirichlet series and the coefficient of fuzzy Dirichelt series are also discussed. Moreover, some relative theorems and properties are presented.
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Ma, Rong, Yulong Zhang et Guohe Zhang. « On a Kind of Dirichlet Character Sums ». Abstract and Applied Analysis 2013 (2013) : 1–8. http://dx.doi.org/10.1155/2013/750964.

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Letp≥3be a prime and letχdenote the Dirichlet character modulop. For any primeqwithq<p, define the setEq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums∑a≤p a∈Eq,pχ(a), and use the properties of the DirichletL-functions and generalized Kloosterman sums to obtain an interesting estimate.
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Aron, Richard M., Frédéric Bayart, Paul M. Gauthier, Manuel Maestre et Vassili Nestoridis. « Dirichlet approximation and universal Dirichlet series ». Proceedings of the American Mathematical Society 145, no 10 (8 juin 2017) : 4449–64. http://dx.doi.org/10.1090/proc/13607.

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ZHANG, LILING. « SET OF EXTREMELY DIRICHLET NON-IMPROVABLE POINTS ». Fractals 28, no 02 (mars 2020) : 2050034. http://dx.doi.org/10.1142/s0218348x20500346.

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Let [Formula: see text] be the continued fraction expansion of [Formula: see text]. The growth rate of the product of the partial quotients [Formula: see text] is closely connected with the improvability of Dirichlet’s theorem in the sense that the faster [Formula: see text] grows, the less possibility the improvement of Dirichlet’s theorem has. In this paper, we study the size of the points for which [Formula: see text] grows in a given speed. We call the points of this type as extremely Dirichlet non-improvable points.
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Jespers, E., S. O. Juriaans, A. Kiefer, A. de A. e. Silva et A. C. Souza Filho. « Dirichlet-Ford domains and Double Dirichlet domains ». Bulletin of the Belgian Mathematical Society - Simon Stevin 23, no 3 (septembre 2016) : 465–79. http://dx.doi.org/10.36045/bbms/1473186517.

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Kassmann, Moritz. « On Dirichlet Forms and Semi-Dirichlet Forms ». Jahresbericht der Deutschen Mathematiker-Vereinigung 117, no 3 (20 février 2015) : 207–15. http://dx.doi.org/10.1365/s13291-015-0110-5.

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Harvey, F. Reese, et H. Blaine Lawson. « Dirichlet duality and the nonlinear Dirichlet problem ». Communications on Pure and Applied Mathematics 62, no 3 (mars 2009) : 396–443. http://dx.doi.org/10.1002/cpa.20265.

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Ceretkova, Sona, et Lubica Korenekova. « DIRICHLET’S PRINCIPLE AS AN ELEMENTARY MATHEMATICAL MODEL IN MATHEMATIC EDUCATION ». Problems of Education in the 21st Century 31, no 1 (5 juillet 2011) : 45–55. http://dx.doi.org/10.33225/pec/11.31.45.

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One important part of nowadays research in theory of mathematics education is focused on searching for some interesting and non-traditional mathematical topics and themes. The topic named the “Dirichlet’s Principle” is aimed to promote and exercise mathematical competencies by using quite simple mathematical rules. The rules were discovered and described in the 19th century by Johann Peter Gustav Lejeune Dirichlet (1805-1859). The article describes case studies as the results of qualitative research of mathematics’ lessons with the topic of Dirichlet’s principle at upper-secondary school and university. The elements of the history of mathematics concerning the topic and Dirichlet’s personality are also involved. Definitions, examples of exercises, tasks and problems are given in the article, too. Recommended methods of teaching with the focus on active methods, which support inquiry based learning, are described. Two case studies, one realized at secondary grammar school (17 year-old pupils) and one at university (student teachers) are described as examples of theoretical and methodological background implementation. The context of tasks and problems which are solved by using Dirichlet’s principle is set in real life situations. The topic content therefore helps to show the importance of mathematical knowledge for everyday life. Key words: case study, elementary mathematical model, Johann Peter Gustav Lejeune Dirichlet, problem solving.
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Huxley, M. N. « Dirichlet polynomials ». Banach Center Publications 17, no 1 (1985) : 307–16. http://dx.doi.org/10.4064/-17-1-307-316.

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Thèses sur le sujet "Dirichlet"

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Gutperle, Michael. « Dirichlet branes, Dirichlet instantons and string duality ». Thesis, University of Cambridge, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.627362.

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Beuchler, Sven. « A Dirichlet-Dirichlet DD-pre-conditioner for p-FEM ». Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601329.

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In this paper, a uniformly elliptic second order boundary value problem in 2D is discretized by the p-version of the finite element method. An inexact Dirichlet-Dirichlet domain decomposition pre-conditioner for the system of linear algebraic equations is investigated. The solver for the problem in the sub-domains and a pre-conditioner for the Schur-complement are proposed as ingredients for the inexact DD-pre-conditioner. Finally, several numerical experiments are given.
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Rodrigues, Guilherme Souza. « Modelos dinâmicos Dirichlet ». reponame:Repositório Institucional da UnB, 2011. http://repositorio.unb.br/handle/10482/10139.

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Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Estatística, 2011.
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O interesse central desta dissertação está na modelagem estatística de dados composicionais, que são caracterizados por vetores aleatórios yt definidos no (k − 1)- simplex aberto padrão. Cada coordenada de yt representa a participação, (share), em termos percentuais, de cada uma das k categorias de resposta possíveis em um fenˆomeno. Propomos um modelo dinâmico inédito, batizado como Modelo Dinâmico Dirichlet (MDD), para a descrição de dados composicionais. O MDD é útil tanto no estudo de dados relativos a uma série temporal, quanto no estudo de dados em que não há dinâmica, ou seja, dados estatísticos caracterizando unidades amostrais de um estudo. Apresentamos o modelo em duas estruturas distintas, uma delineada para a estimação recursiva dos parâmetros, dita online, e a outra para a abordagem de estimação via simulação estocástica MCMC (offline), sendo este último método indicado quando há parâmetros desconhecidos na estrutura do modelo. Discutimos a utilização prática do modelo proposto na descrição do comportamento passado da série histórica, assim como no processo de previs˜ao. Abordamos, ainda, a aplicação do Modelo Dinâmico Dirichlet no contexto estático, um importante caso particular no qual o MDD assume a forma de um modelo de regress˜ao Dirichlet. ______________________________________________________________________________ ABSTRACT
The main purpose of this dissertation is on the study of statistical models for compositional data. Such kind of data is characterized by random vectors yt defined on the open standard (k − 1)-simplex. Each coordinate of yt represents the share, in percentage, of each one of the k categories that represent a given phenomena. We propose a new dynamic model, the Dynamic Dirichlet Model (MDD), for describing compositional data. The MDD is useful not only in the study of time series of compositional data but also for analyzing static compositional. We designed both online and offline approaches for the estimation of the parameters in the model. The online version is adequate for recursive estimation while the offline one, which is based on stochastic simulation via MCMC, can be used when there are some specific unknown parameters is the model. We discuss the practical use of the proposed model in describing the past behavior of the series, as well as in the prediction process. We also discuss the application of the Dynamic Dirichlet Model in a static context, an important particular case in which the MDD takes the form of a Dirichlet regression model.
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Bertoin, Jean. « Processus de Dirichlet ». Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37602956z.

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Scioletti, Francesca. « Il problema di Dirichlet ». Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016.

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Il risultato principale di questa tesi è un risultato di esistenza e unicità della soluzione debole per il problema di Dirichlet associato ad un operatore ellittico in forma di divergenza. Seguendo la presentazione di Gilbarg-Trudinger, la prova utilizza in un primo tempo il Teorema di Lax-Milgram, e successivamente il principio del massimo debole. La prima parte della tesi è dedicata alla presentazione dei risultati di Analisi Funzionale che vengono utilizzati: teoria degli operatori lineari, proprietà degli operatori lineari compatti, teoremi dell'indice, spazi di Sobolev e teoremi di immersione.
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Song, Yuhyun. « Linkage Based Dirichlet Processes ». Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/74970.

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We live in the era of textit{Big Data} with significantly richer computational resources than the last two decades. The concurrence of computation resources and a large volume of data has boosted researchers' desire for developing feasible Markov Chain Monte Carlo (MCMC) algorithms for large parameter spaces. Dirichlet Process Mixture Models (DPMMs) have become a Bayesian mainstay for modeling heterogeneous structures, namely clusters, especially when the quantity of clusters is not known with the established MCMC methods. As opposed to many ad-hoc clustering methods, using Dirichlet Processes (DPs) in models provide a flexible and probabilistic approach for automatically estimating both cluster structure and quantity. While DPs are not fully parameterized, they depend on both a base measure and a concentration parameter that can heavily impact inferences. Determining the concentration parameter is critical and essential, since it adjusts the a-priori cluster expectation, but typical approaches for specifying this parameter are rather cavalier. In this work, we propose a new method for automatically and adaptively determining this parameter, which directly calibrates distances between clusters through an explicit link function within the DP. Furthermore, we extend our method to mixture models with Nested Dirichlet Processes (NDPs) that cluster the multilevel data and depend on the specification of a vector of concentration parameters. In this work, we detail how to incorporate our method in Markov chain Monte Carlo algorithms, and illustrate our findings through a series of comparative simulation studies and applications.
Ph. D.
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Narayanan, Sridhar. « Selberg's conjectures on Dirichlet series ». Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=55517.

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In this thesis we introduce the Rankin-Selberg hypothesis in the Selberg Class to obtain a non-vanishing theorem on line $ Re(s)=1$ for a certain sub-class of functions in this class. We also prove that the Selberg's Conjectures imply the $S sb{K}$-primitivity of $ zeta sb{K}.$
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Garousi, Mohammad R. (Mohammad Reza). « Superstring scattering from Dirichlet branes ». Thesis, McGill University, 1996. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=40351.

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We derive fully covariant expressions for all two-point scattering amplitudes of two massless closed strings from a Dirichlet p-brane. This construction relies on the observation that there is a simple relation between these D-brane amplitudes in type II superstring theory and four-point scattering amplitudes for type I open superstrings. From the two-point amplitudes, we derive the long range background fields for the D-branes, and verify that as expected they correspond to those of extremally charged p-brane solutions of the low energy effective action.
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Ponweiser, Martin. « Latent Dirichlet Allocation in R ». WU Vienna University of Economics and Business, 2012. http://epub.wu.ac.at/3558/1/main.pdf.

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Topic models are a new research field within the computer sciences information retrieval and text mining. They are generative probabilistic models of text corpora inferred by machine learning and they can be used for retrieval and text mining tasks. The most prominent topic model is latent Dirichlet allocation (LDA), which was introduced in 2003 by Blei et al. and has since then sparked off the development of other topic models for domain-specific purposes. This thesis focuses on LDA's practical application. Its main goal is the replication of the data analyses from the 2004 LDA paper ``Finding scientific topics'' by Thomas Griffiths and Mark Steyvers within the framework of the R statistical programming language and the R~package topicmodels by Bettina Grün and Kurt Hornik. The complete process, including extraction of a text corpus from the PNAS journal's website, data preprocessing, transformation into a document-term matrix, model selection, model estimation, as well as presentation of the results, is fully documented and commented. The outcome closely matches the analyses of the original paper, therefore the research by Griffiths/Steyvers can be reproduced. Furthermore, this thesis proves the suitability of the R environment for text mining with LDA. (author's abstract)
Series: Theses / Institute for Statistics and Mathematics
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Laniel, François. « Capacités et espace de Dirichlet ». Thesis, Université Laval, 2013. http://www.theses.ulaval.ca/2013/30186/30186.pdf.

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Choquet influença profondément la théorie du potentiel en démontrant la capacitabilité des ensembles analytiques, en particulier des boréliens. L’abstraction de la capacité newtonienne à des capacités abstraites permit l’introduction de capacités intéressantes à étudier et c’est en partie ce que nous ferons dans ce mémoire. Beurling fut le premier à discuter de l’espace de Dirichlet classique en démontrant dans sa thèse de doctorat un théorème profond liant la capacité logarithmique aux limites non tangentielles des fonctions de cet espace. En compagnie de Carleson, il établit les bases fondamentales de cette théorie. Plusieurs questions restent encore ouvertes concernant l’espace de Dirichlet et c’est ce qui motive l’intérêt de nombreux mathématiciens à son égard. Passant par la démonstration du théorème de Choquet, du théorème de Frostman, du théorème de Beurling et de l’inégalité capacitaire forte, ce mémoire se veut avant tout une introduction aux résultats classiques mais profonds concernant différentes capacités et l’espace de Dirichlet classique.
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Livres sur le sujet "Dirichlet"

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Merzbach, Uta C. Dirichlet. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7.

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Fabes, Eugene, Masatoshi Fukushima, Leonard Gross, Carlos Kenig, Michael Röckner et Daniel W. Stroock. Dirichlet Forms. Sous la direction de Gianfausto Dell'Antonio et Umberto Mosco. Berlin, Heidelberg : Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0074088.

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Fukushima, Masatoshi. Dirichlet forms and symmetric Markov processes. Berlin : W. de Gruyter, 1994.

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Ng, Kai Wang, Guo-Liang Tian et Man-Lai Tang. Dirichlet and Related Distributions. Chichester, UK : John Wiley & Sons, Ltd, 2011. http://dx.doi.org/10.1002/9781119995784.

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Keller, Matthias, Daniel Lenz et Radosław K. Wojciechowski. Graphs and Discrete Dirichlet Spaces. Cham : Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81459-5.

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Chen, Zhen-Qing, Masayoshi Takeda et Toshihiro Uemura, dir. Dirichlet Forms and Related Topics. Singapore : Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4672-1.

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Ma, Z. M., M. Röckner et J. A. Yan, dir. Dirichlet Forms and Stochastic Processes. Berlin, New York : DE GRUYTER, 1995. http://dx.doi.org/10.1515/9783110880052.

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Queffélec, Hervé, et Martine Queffélec. Diophantine Approximation and Dirichlet Series. Gurgaon : Hindustan Book Agency, 2013. http://dx.doi.org/10.1007/978-93-86279-61-3.

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Queffélec, Hervé, et Martine Queffélec. Diophantine Approximation and Dirichlet Series. Singapore : Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-9351-2.

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1956-, Jost Jürgen, dir. New directions in Dirichlet forms. Providence, R.I : American Mathematical Society, 1998.

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Chapitres de livres sur le sujet "Dirichlet"

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Merzbach, Uta C. « Rhineland ». Dans Dirichlet, 1–7. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_1.

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Merzbach, Uta C. « Expanding Interactions ». Dans Dirichlet, 131–43. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_10.

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Merzbach, Uta C. « Publications : 1839–1845 ». Dans Dirichlet, 145–56. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_11.

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Merzbach, Uta C. « A Darkling Decade ». Dans Dirichlet, 157–79. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_12.

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Merzbach, Uta C. « Publications : 1846–1855 ». Dans Dirichlet, 181–203. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_13.

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Merzbach, Uta C. « Göttingen ». Dans Dirichlet, 205–21. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_14.

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Merzbach, Uta C. « Aftermath ». Dans Dirichlet, 223–39. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_15.

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Merzbach, Uta C. « Lectures ». Dans Dirichlet, 241–51. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_16.

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Merzbach, Uta C. « Centennial Legacy and Commentary ». Dans Dirichlet, 253–76. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_17.

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Merzbach, Uta C. « Paris ». Dans Dirichlet, 9–15. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01073-7_2.

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Actes de conférences sur le sujet "Dirichlet"

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Wang, Xuanhui, Azadeh Shakery et Tao Tao. « Dirichlet PageRank ». Dans the 28th annual international ACM SIGIR conference. New York, New York, USA : ACM Press, 2005. http://dx.doi.org/10.1145/1076034.1076178.

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Wang, Hua-Yan, Hongbin Zha et Hong Qin. « Dirichlet aggregation ». Dans the 24th international conference. New York, New York, USA : ACM Press, 2007. http://dx.doi.org/10.1145/1273496.1273617.

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Koltcov, Sergei, Olessia Koltsova et Sergey Nikolenko. « Latent dirichlet allocation ». Dans the 2014 ACM conference. New York, New York, USA : ACM Press, 2014. http://dx.doi.org/10.1145/2615569.2615680.

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Wang, Hua-Yan, Qiang Yang, Hong Qin et Hongbin Zha. « Dirichlet component analysis ». Dans the 25th international conference. New York, New York, USA : ACM Press, 2008. http://dx.doi.org/10.1145/1390156.1390298.

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Qin, Lijing, et Xiaoyan Zhu. « Functional dirichlet process ». Dans the 22nd ACM international conference. New York, New York, USA : ACM Press, 2013. http://dx.doi.org/10.1145/2505515.2505537.

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Mohammad-Djafari, Ali, Marcelo de Souza Lauretto, Carlos Alberto de Bragança Pereira et Julio Michael Stern. « Dirichlet or Potts ? » Dans BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING : Proceedings of the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering. AIP, 2008. http://dx.doi.org/10.1063/1.3039000.

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Josang, Audun, et Jochen Haller. « Dirichlet Reputation Systems ». Dans The Second International Conference on Availability, Reliability and Security (ARES'07). IEEE, 2007. http://dx.doi.org/10.1109/ares.2007.71.

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Chien, Jen-Tzung, Chao-Hsi Lee et Zheng-Hua Tan. « Dirichlet mixture allocation ». Dans 2016 IEEE 26th International Workshop on Machine Learning for Signal Processing (MLSP). IEEE, 2016. http://dx.doi.org/10.1109/mlsp.2016.7738866.

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Bouguila, Nizar, et Djemel Ziou. « A Dirichlet process mixture of dirichlet distributions for classification and prediction ». Dans 2008 IEEE Workshop on Signal Processing for Machine Learning. IEEE, 2008. http://dx.doi.org/10.1109/mlsp.2008.4685496.

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Shafiei, M., et Evangelos Milios. « Latent Dirichlet Co-Clustering ». Dans Sixth International Conference on Data Mining (ICDM'06). IEEE, 2006. http://dx.doi.org/10.1109/icdm.2006.94.

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Rapports d'organisations sur le sujet "Dirichlet"

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Sethuraman, Jayaram. A Constructive Definition of Dirichlet Priors. Fort Belvoir, VA : Defense Technical Information Center, mai 1991. http://dx.doi.org/10.21236/ada238689.

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Munro, Evan, et Serena Ng. Latent Dirichlet Analysis of Categorical Survey Expectations. Cambridge, MA : National Bureau of Economic Research, mai 2020. http://dx.doi.org/10.3386/w27182.

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Teh, Yee W., David Newman et Max Welling. A Collapsed Variational Bayesian Inference Algorithm for Latent Dirichlet Allocation. Fort Belvoir, VA : Defense Technical Information Center, septembre 2007. http://dx.doi.org/10.21236/ada629956.

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Yin, Zheng. Dirichlet branes and nonperturbative aspects of supersymmetric string and gauge theories. Office of Scientific and Technical Information (OSTI), mai 1998. http://dx.doi.org/10.2172/753013.

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Babuska, Ivo, Victor Nistor et Nicolae Tarfulea. Approximate Dirichlet Boundary Conditions in the Generalized Finite Element Method (PREPRINT). Fort Belvoir, VA : Defense Technical Information Center, février 2006. http://dx.doi.org/10.21236/ada478502.

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Van Omen, Alan, et Tyler Morrow. Controlling radioisotope proportions when randomly sampling from Dirichlet distributions in PyRIID. Office of Scientific and Technical Information (OSTI), février 2024. http://dx.doi.org/10.2172/2335905.

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Greenbaum, A., L. Greengard et G. McFadden. Laplace's equation and the Dirichlet-Neumann map in multiply connected domains. Office of Scientific and Technical Information (OSTI), mars 1991. http://dx.doi.org/10.2172/5896532.

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Kuo, Lynn. A Note on Bayes Empirical Bayes Estimation by Means of Dirichlet Processes. Fort Belvoir, VA : Defense Technical Information Center, septembre 1985. http://dx.doi.org/10.21236/ada170039.

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Babuska, Ivo, B. Guo et Manil Suri. Implementation of Nonhomogeneous Dirichlet Boundary Conditions in the p- Version of the Finite Element Method. Fort Belvoir, VA : Defense Technical Information Center, septembre 1988. http://dx.doi.org/10.21236/ada207799.

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Antón Sarabia, Arturo, Santiago Bazdresch et Alejandra Lelo-de-Larrea. The Influence of Central Bank's Projections and Economic Narrative on Professional Forecasters' Expectations : Evidence from Mexico. Banco de México, décembre 2023. http://dx.doi.org/10.36095/banxico/di.2023.21.

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This paper evaluates the influence of central bank's projections and narrative signals provided in the summaries of its Inflation Report on the expectations of professional forecasters for inflation and GDP growth in the case of Mexico. We use the Latent Dirichlet Allocation model, a textmining technique, to identify narrative signals. We show that both quantitative and qualitative information have an influence on inflation and GDP growth expectations. We also find that narrative signals related to monetary policy, observed inflation, aggregate demand, and inflation and employment projections stand out as the most relevant in accounting for changes in analysts' expectations. If the period of the COVID-19 pandemic is excluded, we still find that forecasters consider both types of information for their inflation expectations.
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