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

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

“…In this paper, we propose an infinite-dimensional version of the Stein variational gradient descent (iSVGD…”
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Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem by Barbagallo, A., Guarino Lo Bianco, S.

“… To this aim, we introduce tensor variational inequalities in Hilbert spaces which are a powerful tool to analyse the model…”
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MODIFIED INERTIAL HYBRID SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS FOR AN INFINITE FAMILY OF MULTIVALUED RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH APPLICATIONS

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The Nevanlinna theory and its related Paley problems with applications in infinite-dimensional spaces by Hu, C.G.

“…) some applications to H ∞ -control theory, information theory and search for earthquake in infinite-dimensional spaces…”
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Periodic value problems of differential systemson infinite-dimensional spaces and applications to differential geometry by Palamides, P.K., Galanis, G.N.

“…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 by Chatterjee, Kausik, Roadcap, John R., Singh, Surendra

“…) 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 by Yen, Nguyen Dong, Yang, Xiaoqi

“…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 by Mordukhovich, B.S., Nghia, T.T.A.

“…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 by Cao, Lianghao, O'Leary-Roseberry, Thomas, Jha, Prashant K., Oden, J. Tinsley, Ghattas, Omar

“…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 by Treanţă, Savin

“…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 by Li, J., Mastroeni, G.

“… 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 by Chiarolla, Maria B., De Angelis, Tiziano

“…A finite horizon optimal stopping problem for an infinite dimensional diffusion X is analyzed by means of variational techniques…”
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A New Approach to Solve Convex Infinite-Dimensional Bilevel Problems: Application to the Pollution Emission Price Problem by Maugeri, Antonino, Scrimali, Laura

“…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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Lagrangean variables in infinite dimensional spaces for a dynamic economic equilibrium problem by Donato, Maria Bernadette, Milasi, Monica

“…; 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 by Zidani, H., De Cursi, J. E. Souza, Ellaia, R.

“…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 by Scrimali, Laura, Mirabella, Cristina

“… 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 by Daniele, Patrizia

“… 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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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces by Ambrosio, Luigi, Mondino, Andrea, Savaré, Giuseppe

“…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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Asymptotic behavior of semi-quasivariational optimistic bilevel problems in Banach spaces by Lignola, M. Beatrice, Morgan, Jacqueline

“…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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A Pontryagin Maximum Principle for Infinite-Dimensional Problems by Krastanov, M. I., Ribarska, N. K., Tsachev, Ts. Y.

“…" 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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