Relevant bibliographies by topics / Infinite-Dimensional statistics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Infinite-Dimensional statistics'

Author: Grafiati
Published: 1 June 2024

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Journal articles on the topic "Infinite-Dimensional statistics"

1

Kleijn, B. J. K., and A. W. van der Vaart. "Misspecification in infinite-dimensional Bayesian statistics." Annals of Statistics 34, no. 2 (2006): 837–77. http://dx.doi.org/10.1214/009053606000000029.

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Cuchiero, Christa, and Sara Svaluto-Ferro. "Infinite-dimensional polynomial processes." Finance and Stochastics 25, no. 2 (2021): 383–426. http://dx.doi.org/10.1007/s00780-021-00450-x.

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Song, Yanglei, Xiaohui Chen, and Kengo Kato. "Approximating high-dimensional infinite-order $U$-statistics: Statistical and computational guarantees." Electronic Journal of Statistics 13, no. 2 (2019): 4794–848. http://dx.doi.org/10.1214/19-ejs1643.

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Palev, Tchavdar D. "Lie superalgebras, infinite-dimensional algebras and quantum statistics." Reports on Mathematical Physics 31, no. 3 (1992): 241–62. http://dx.doi.org/10.1016/0034-4877(92)90017-u.

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Bojdecki, Tomasz, and Luis G. Gorostiza. "Inhomogenous infinite dimensional langevin equations." Stochastic Analysis and Applications 6, no. 1 (1988): 1–9. http://dx.doi.org/10.1080/07362998808809133.

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Dalecky, Yu L., and V. R. Steblovskaya. "On infinite-dimensional variational problems." Stochastic Analysis and Applications 14, no. 1 (1996): 47–71. http://dx.doi.org/10.1080/07362999608809425.

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Nishikawa, Naoki, Taiji Suzuki, Atsushi Nitanda, and Denny Wu. "Two-layer neural network on infinite-dimensional data: global optimization guarantee in the mean-field regime *." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 11 (2023): 114007. http://dx.doi.org/10.1088/1742-5468/ad01b2.

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Abstract The analysis of neural network optimization in the mean-field regime is important as the setting allows for feature learning. The existing theory has been developed mainly for neural networks in finite dimensions, i.e. each neuron has a finite-dimensional parameter. However, the setting of infinite-dimensional input naturally arises in machine learning problems such as nonparametric functional data analysis and graph classification. In this paper, we develop a new mean-field analysis of a two-layer neural network in an infinite-dimensional parameter space. We first give a generalizati
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Schmuland, Byron. "Dirichlet forms: Some infinite-dimensional examples." Canadian Journal of Statistics 27, no. 4 (1999): 683–700. http://dx.doi.org/10.2307/3316125.

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Vaart, A. W. "Efficiency. of infinite dimensional M- estimators." Statistica Neerlandica 49, no. 1 (1995): 9–30. http://dx.doi.org/10.1111/j.1467-9574.1995.tb01452.x.

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Heintze, Ernst, and Xiaobo Liu. "Homogeneity of Infinite Dimensional Isoparametric Submanifolds." Annals of Mathematics 149, no. 1 (1999): 149. http://dx.doi.org/10.2307/121022.

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Dissertations / Theses on the topic "Infinite-Dimensional statistics"

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Romon, Gabriel. "Contributions to high-dimensional, infinite-dimensional and nonlinear statistics." Electronic Thesis or Diss., Institut polytechnique de Paris, 2023. http://www.theses.fr/2023IPPAG013.

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Trois problèmes sont abordés dans cette thèse: l'inférence en régression multi-tâche de grande dimension, les quantiles géométriques dans les espaces normés de dimension infinie, et les moyennes de Fréchet généralisées dans les arbres métriques. Premièrement, nous considérons un modèle de régression multi-tâche avec une hypothèse de sparsité sur les lignes de la matrice paramètre. L'estimation est faite en haute dimension avec l'estimateur Lasso multi-tâche. Afin de corriger le biais induit par la pénalité, nous introduisons un nouvel objet dépendant uniquement des données que nous appelons ma
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Blacque-Florentin, Pierre. "Some infinite dimensional topics in probability and statistics." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/43537.

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This thesis comprises two independent parts. In the first part, we develop a pathwise calculus for functionals of integer-valued measures and extend the framework of Functional Itô Calculus to functionals of integer-valued random measures by constructing a ’stochastic derivative’ operator with respect to such integer-valued random measures. This allows us to obtain weak martingale representation formulae holding beyond the class of Poisson random measures, and allowing for random and time-dependent compensators. We study the behaviour of this operator and compare it with other previous approac
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Horta, Eduardo de Oliveira. "Essays in nonparametric econometrics and infinite dimensional mathematical statistics." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/133007.

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A presente Tese de Doutorado é composta de quatro artigos científicos em duas áreas distintas. Em Horta, Guerre e Fernandes (2015), o qual constitui o Capítulo 2 desta Tese, é proposto um estimador suavizado no contexto de modelos de regressão quantílica linear (Koenker e Basset, 1978). Uma representação de Bahadur-Kiefer uniforme é obtida, a qual apresenta uma ordem assintótica que domina aquela correspondente ao estimador clássico. Em seguida, prova-se que o viés associado à suavização é negligenciável, no sentido de que o termo de viés é equivalente, em primeira ordem, ao verdadeiro parâmet
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Karlsson, John. "A class of infinite dimensional stochastic processes with unbounded diffusion." Licentiate thesis, Linköpings universitet, Matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-96583.

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The aim of this work is to provide an introduction into the theory of infinite dimensional stochastic processes. The thesis contains the paper A class of infinite dimensional stochastic processes with unbounded diffusion written at Linköping University during 2012. The aim of that paper is to take results from the finite dimensional theory into the infinite dimensional case. This is done via the means of a coordinate representation. It is shown that for a certain kind of Dirichlet form with unbounded diffusion, we have properties such as closability, quasi-regularity, and existence of local fi
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Bassi, Mohamed. "Quantification d'incertitudes et objets en dimension infinie." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMIR03.

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La théorie des polynômes de chaos, étant une alternative moins onéreuse et plus efficace de la simulation de Monte Carlo, reste limitée aux polynômes de variables gaussiennes. On présente une méthode de type hilbertien qui généralise cette théorie et on établit les conditions d’existence et de convergence d’une expansion en Série de Fourier Généralisée. Ensuite, on présente la Statistique des Objets qui permet d’étudier les caractéristiques statistiques d’un ensemble d’objets aléatoires en dimension infinie. En calculant les distances entre les hypervolumes, notamment la distance de Hausdorff,
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DE, VECCHI FRANCESCO CARLO. "LIE SYMMETRY ANALYSIS AND GEOMETRICAL METHODS FOR FINITE AND INFINITE DIMENSIONAL STOCHASTIC DIFFERENTIAL EQUATIONS." Doctoral thesis, Università degli Studi di Milano, 2018. http://hdl.handle.net/2434/565457.

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The main aim of the thesis is a systematic application (via suitable generalizations) of Lie symmetry analysis, or more generally, of the various geometric techniques for differential equations, to the study of finite and infinite dimensional stochastic differential equations (SDEs). The work can be divided in three main parts. In the first part a new geometric approach to finite dimensional SDEs driven by a multidimensional Brownian motion is proposed, which is based on a new notion of random transformations of a stochastic process called stochastic transformations. After having studied the
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IBRAGIMOV, ANTON. "G - Expectations in infinite dimensional spaces and related PDES." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/44738.

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In this thesis, we extend the G-expectation theory to infinite dimensions. Such notions as a covariation set of G-normal distributed random variables, viscosity solution, a stochastic integral drive by G-Brownian motion are introduced and described in the given infinite dimensional case. We also give a probabilistic representation of the unique viscosity solution to the fully nonlinear parabolic PDE with unbounded first order term in Hilbert space in terms of G-expectation theory.
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Kidzinski, Lukasz. "Inference for stationary functional time series: dimension reduction and regression." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209226.

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Les progrès continus dans les techniques du stockage et de la collection des données permettent d'observer et d'enregistrer des processus d’une façon presque continue. Des exemples incluent des données climatiques, des valeurs de transactions financières, des modèles des niveaux de pollution, etc. Pour analyser ces processus, nous avons besoin des outils statistiques appropriés. Une technique très connue est l'analyse de données fonctionnelles (ADF).<p><p>L'objectif principal de ce projet de doctorat est d'analyser la dépendance temporelle de l’ADF. Cette dépendance se produit, par exemple, si
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Cangiotti, Nicolò. "Feynman path integral for Schrödinger equation with magnetic field." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/251697.

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Feynman path integrals introduced heuristically in the 1940s are a powerful tool used in many areas of physics, but also an intriguing mathematical challenge. In this work we used techniques of infinite dimensional integration (i.e. the infinite dimensional oscillatory integrals) in two different, but strictly connected, directions. On the one hand we construct a functional integral representation for solutions of a general high-order heat-type equations exploiting a recent generalization of infinite dimensional Fresnel integrals; in this framework we prove a a Girsanov-type formula, which is
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Cangiotti, Nicolò. "Feynman path integral for Schrödinger equation with magnetic field." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/251697.

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Feynman path integrals introduced heuristically in the 1940s are a powerful tool used in many areas of physics, but also an intriguing mathematical challenge. In this work we used techniques of infinite dimensional integration (i.e. the infinite dimensional oscillatory integrals) in two different, but strictly connected, directions. On the one hand we construct a functional integral representation for solutions of a general high-order heat-type equations exploiting a recent generalization of infinite dimensional Fresnel integrals; in this framework we prove a a Girsanov-type formula, which is
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Books on the topic "Infinite-Dimensional statistics"

1

Giné, Evarist. Mathematical foundations of infinite-dimensional statistical models. Cambridge University Press, 2016.

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Stability of infinite dimensional stochastic differential equations with applications. Chapman & Hall/CRC, 2006.

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Invariant and quasiinvariant measures in infinite-dimensional topological vector spaces. Nova Science Publishers, 2007.

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Socolovsky, Eduardo A. A dissimilarity measure for clustering high- and infinite dimensional data that satisfies the triangle inequality. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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Malliavin calculus for Lévy processes and infinite-dimensional Brownian motion: An introduction. Cambridge University Press, 2012.

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6

Accardi, Luigi. Recent Developments in Infinite-Dimensional Analysis and Quantum Probability: Papers in Honour of Takeyuki Hida's 70th Birthday. Springer Netherlands, 2001.

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Conference on Quantum Probability and Infinite Dimensional Analysis (29th 2008 Ḥammāmāt, Tunisia). Quantum probability and infinite dimensional analysis: Proceedings of the 29th conference, Hammamet, Tunisia 13-18 October 2008. World Scientific, 2010.

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M, Berezanskiĭ I͡U. Spectral methods in infinite-dimensional analysis. Kluwer Academic, 1994.

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Temam, Roger. Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Springer US, 1988.

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1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. American Mathematical Society, 2011.

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Book chapters on the topic "Infinite-Dimensional statistics"

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Pantsulaia, Gogi. "Infinite-Dimensional Monte Carlo Integration." In Applications of Measure Theory to Statistics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45578-5_2.

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Eggermont, P. P. B., and V. N. LaRiccia. "Convex Optimization in Infinite-Dimensional Spaces." In Springer Series in Statistics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-0716-1244-6_10.

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Buldygin, V. V., and A. B. Kharazishvili. "Some infinite-dimensional vector spaces." In Geometric Aspects of Probability Theory and Mathematical Statistics. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-017-1687-1_5.

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Sudakov, A. V., V. N. Sudakov, and H. v. Weizsäcker. "Typical Distributions: Infinite-Dimensional Approaches." In Asymptotic Methods in Probability and Statistics with Applications. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0209-7_14.

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Nagy, Stanislav. "Depth in Infinite-dimensional Spaces." In Functional and High-Dimensional Statistics and Related Fields. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47756-1_25.

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Whittle, Peter. "Extension: Examples of the Infinite-Dimensional Case." In Springer Texts in Statistics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-0509-8_19.

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Whittle, Peter. "Extension: Examples of the Infinite-Dimensional Case." In Springer Texts in Statistics. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-2892-9_15.

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Ferraty, Frédéric, and Philippe Vieu. "Nonparametric Statistics and High/Infinite Dimensional Data." In Springer Proceedings in Mathematics & Statistics. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0569-0_32.

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Nikulin, A. M. "Applications of Infinite-Dimensional Gaussian Integrals." In Asymptotic Methods in Probability and Statistics with Applications. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0209-7_12.

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Draouil, Olfa, and Habib Ouerdiane. "Solutions of Infinite Dimensional Partial Differential Equations." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-06170-7_14.

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Conference papers on the topic "Infinite-Dimensional statistics"

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Bongiorno, Enea G. "Contributions in infinite-dimensional statistics and related topics." In Contributions in infinite-dimensional statistics and related topics, edited by Ernesto Salinelli, Aldo Goia, and Philippe Vieu. Società Editrice Esculapio, 2014. http://dx.doi.org/10.15651/9788874887637.

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GOLDIN, GERALD A., UGO MOSCHELLA, and TAKAO SAKURABA. "MEASURES ON SPACES OF INFINITE-DIMENSIONAL CONFIGURATIONS, GROUP REPRESENTATIONS, AND STATISTICAL PHYSICS." In Proceedings of the Fifth International Workshop. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702562_0020.

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Van der Velden, Alex, Patrick Koch, Srikanth Devanathan, Jeff Haan, Dave Naehring, and David Fox. "Probabilistic Certificate of Correctness for Cyber Physical Systems." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70135.

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Cyber Physical Systems couple computational and physical elements, therefore the behavior of geometry (deformations, kinematics), physics and controls needs to be certified using many different tools over a very high dimensional space. Because of the near infinite number of ways such a system can fail meeting its requirements, we developed a Probabilistic Certificate of Correctness (PCC) metric which quantifies the probability of satisfying requirements with consistent statistical confidence. PCC can be implemented as a scalable engineering practice for certifying complex system behavior at ev
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Xu, Hongyi, Yang Li, Catherine Brinson, and Wei Chen. "Descriptor-Based Methodology for Designing Heterogeneous Microstructural Materials System." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12232.

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In designing a microstructural materials system, there are several key questions associated with design representation, design evaluation, and design synthesis: how to quantitatively represent the design space of a heterogeneous microstructure system using a small set of design variables, how to efficiently reconstruct statistically equivalent microstructures for design evaluation, and how to quickly search for the optimal microstructure design to achieve the desired material properties. This paper proposes a new descriptor-based methodology for designing microstructural materials systems. A d
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Alhemdi, Aymen, and Ming Gu. "A Robust Workflow for Optimizing Drilling/Completion/Frac Design Using Machine Learning and Artificial Intelligence." In SPE Annual Technical Conference and Exhibition. SPE, 2022. http://dx.doi.org/10.2118/210160-ms.

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Abstract One of the biggest challenges in drilling/completion/hydraulic fracturing optimization is determining the optimal parameters in the infinite space of possible solutions. Applying a comprehensive parametric study with various geomechanical properties using both a frac simulator and a reservoir simulator is low efficient. This study proposes a workflow for optimizing unconventional reservoir development using machine learning and artificial intelligence (AI) in conjunction with advanced geomechanical modeling. The workflow consists of four steps: in Step1, appropriate acoustic interpret
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