Suchergebnisse - Applications of variational problems in infinite-dimensional spaces to the sciences

  1. 1

    Stein variational gradient descent on infinite-dimensional space and applications to statistical inverse problems von Jia, Junxiong, Li, Peijun, Meng, Deyu

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 12.05.2022
    Veröffentlicht in arXiv.org (12.05.2022)
    “… In this paper, we propose an infinite-dimensional version of the Stein variational gradient descent (iSVGD …”
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    Paper
  2. 2

    Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem von Barbagallo, A., Guarino Lo Bianco, S.

    ISSN: 1055-6788, 1029-4937
    Veröffentlicht: Abingdon Taylor & Francis 03.09.2023
    Veröffentlicht in Optimization methods & software (03.09.2023)
    “… To this aim, we introduce tensor variational inequalities in Hilbert spaces which are a powerful tool to analyse the model …”
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    The Nevanlinna theory and its related Paley problems with applications in infinite-dimensional spaces von Hu, C.G.

    ISSN: 1747-6933, 1747-6941
    Veröffentlicht: Colchester Taylor & Francis Group 01.01.2011
    Veröffentlicht in Complex variables and elliptic equations (01.01.2011)
    “… ) some applications to H ∞ -control theory, information theory and search for earthquake in infinite-dimensional spaces …”
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  5. 5

    Periodic value problems of differential systemson infinite-dimensional spaces and applications to differential geometry von Palamides, P.K., Galanis, G.N.

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.06.2004
    Veröffentlicht in Computers & mathematics with applications (1987) (01.06.2004)
    “… Periodicity questions of differential systems on infinite-dimensional Hilbert spaces arestudied via a new methodology which is based on Fan-Knaster-Kuratowski-Mazurkiewicz theorem …”
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    A new Green's function Monte Carlo algorithm for the solution of the two-dimensional nonlinear Poisson–Boltzmann equation: Application to the modeling of the communication breakdown problem in space vehicles during re-entry von Chatterjee, Kausik, Roadcap, John R., Singh, Surendra

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: United States Elsevier Inc 01.11.2014
    Veröffentlicht in Journal of computational physics (01.11.2014)
    “… ) algorithm for the solution of nonlinear partial differential equations and its application to the modeling of the plasma sheath region around a cylindrical conducting object, carrying a potential …”
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    Affine Variational Inequalities on Normed Spaces von Yen, Nguyen Dong, Yang, Xiaoqi

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.07.2018
    Veröffentlicht in Journal of optimization theory and applications (01.07.2018)
    “… This paper studies infinite-dimensional affine variational inequalities on normed spaces …”
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    Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces von Mordukhovich, B.S., Nghia, T.T.A.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Elsevier Ltd 01.07.2013
    Veröffentlicht in Nonlinear analysis (01.07.2013)
    “… The paper is devoted to developing second-order tools of variational analysis and their applications to characterizing tilt-stable local minimizers of constrained optimization problems infinite …”
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    Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems von Cao, Lianghao, O'Leary-Roseberry, Thomas, Jha, Prashant K., Oden, J. Tinsley, Ghattas, Omar

    ISSN: 0021-9991, 1090-2716
    Veröffentlicht: United States Elsevier Inc 01.08.2023
    Veröffentlicht in Journal of computational physics (01.08.2023)
    “… We explore using neural operators, or neural network representations of nonlinear maps between function spaces, to accelerate infinite-dimensional Bayesian inverse problems (BIPs …”
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    On a Class of Differential Variational Inequalities in Infinite-Dimensional Spaces von Treanţă, Savin

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 2021
    Veröffentlicht in Mathematics (Basel) (2021)
    “… A new class of differential variational inequalities (DVIs), governed by a variational inequality and an evolution equation formulated in infinite-dimensional spaces, is investigated in this paper …”
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    Image Convexity of Generalized Systems with Infinite-Dimensional Image and Applications von Li, J., Mastroeni, G.

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.04.2016
    Veröffentlicht in Journal of optimization theory and applications (01.04.2016)
    “… generalized system with infinite- dimensional image. These new results are applied to investigate vector quasi-optimization problems and vector dynamic variational …”
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    Optimal Stopping of a Hilbert Space Valued Diffusion: An Infinite Dimensional Variational Inequality von Chiarolla, Maria B., De Angelis, Tiziano

    ISSN: 0095-4616, 1432-0606
    Veröffentlicht: New York Springer US 01.04.2016
    Veröffentlicht in Applied mathematics & optimization (01.04.2016)
    “… A finite horizon optimal stopping problem for an infinite dimensional diffusion X is analyzed by means of variational techniques …”
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    Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces von Ambrosio, Luigi, Mondino, Andrea, Savaré, Giuseppe

    ISBN: 9781470439132, 1470439131
    ISSN: 0065-9266, 1947-6221
    Veröffentlicht: Providence, Rhode Island American Mathematical Society 2019
    “… The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces …”
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    E-Book Buch
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    A New Approach to Solve Convex Infinite-Dimensional Bilevel Problems: Application to the Pollution Emission Price Problem von Maugeri, Antonino, Scrimali, Laura

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.05.2016
    Veröffentlicht in Journal of optimization theory and applications (01.05.2016)
    “… This paper presents a new approach to studying bilevel programming problems in infinite-dimensional spaces, based on infinite-dimensional duality and evolutionary variational inequalities …”
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    Journal Article
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    Lagrangean variables in infinite dimensional spaces for a dynamic economic equilibrium problem von Donato, Maria Bernadette, Milasi, Monica

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.10.2011
    Veröffentlicht in Nonlinear analysis (01.10.2011)
    “… ; then the Lagrangean theory in infinite dimensional spaces is applied. Thanks to the application of this theory we obtain the existence of Lagrangean multipliers, which allows us …”
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    Numerical approximation of the solution in infinite dimensional global optimization using a representation formula von Zidani, H., De Cursi, J. E. Souza, Ellaia, R.

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.06.2016
    Veröffentlicht in Journal of global optimization (01.06.2016)
    “… A non convex optimization problem, involving a regular functional J , on a closed and bounded subset S of a separable Hilbert space V is here considered …”
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    Cooperation in pollution control problems via evolutionary variational inequalities von Scrimali, Laura, Mirabella, Cristina

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.02.2018
    Veröffentlicht in Journal of global optimization (01.02.2018)
    “… Then, by means of infinite dimensional duality tools, we prove the existence of Lagrange multipliers that play a fundamental role to describe countries …”
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    Evolutionary variational inequalities and applications to complex dynamic multi-level models von Daniele, Patrizia

    ISSN: 1366-5545, 1878-5794
    Veröffentlicht: Exeter Elsevier India Pvt Ltd 01.11.2010
    “… For such a framework we furnish, using the infinite dimensional duality theory, the equilibrium conditions for the representatives of each tier of the supernetwork, the time-dependent variational …”
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    Asymptotic behavior of semi-quasivariational optimistic bilevel problems in Banach spaces von Lignola, M. Beatrice, Morgan, Jacqueline

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Elsevier Inc 01.04.2015
    Veröffentlicht in Journal of mathematical analysis and applications (01.04.2015)
    “… The great interest into hierarchical optimization problems and the increasing use of game theory in many economic or engineering applications led to investigate scalar bilevel problems in which the …”
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    Journal Article
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    A Pontryagin Maximum Principle for Infinite-Dimensional Problems von Krastanov, M. I., Ribarska, N. K., Tsachev, Ts. Y.

    ISSN: 0363-0129, 1095-7138
    Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
    Veröffentlicht in SIAM journal on control and optimization (01.01.2011)
    “… " We use this idea to prove the main result of the present paper--a Pontryagin maximum principle for infinite-dimensional optimal control problems with pointwise terminal constraints in arbitrary Banach state space …”
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