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Stochastic Approximations and Differential Inclusions [PDF]
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Benaïm, Michel +2 more
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Stochastic Approximations and Differential Inclusions, Part II: Applications [PDF]
We apply the theoretical results on “stochastic approximations and differential inclusions” developed in Benaïm et al. [M. Benaïm, J. Hofbauer, S. Sorin. 2005. Stochastic approximations and differential inclusions. SIAM J. Control Optim. 44 328–348] to several adaptive processes used in game theory, including classical and generalized approachability,
Benaïm, Michel +2 more
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The work is dedicated to mathematical modelling of random diffusion flows of admixture particles in a two-phase stratified strip with stochastic disposition of phases and random thickness of inclusion-layers.
Olha Chernukha +4 more
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Inferring temporal dynamics from cross-sectional data using Langevin dynamics
Cross-sectional studies are widely prevalent since they are more feasible to conduct compared with longitudinal studies. However, cross-sectional data lack the temporal information required to study the evolution of the underlying dynamics. This temporal
Pritha Dutta +4 more
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Stochastic Langevin Differential Inclusions with Applications to Machine Learning
Stochastic differential equations of Langevin-diffusion form have received significant attention, thanks to their foundational role in both Bayesian sampling algorithms and optimization in machine learning. In the latter, they serve as a conceptual model of the stochastic gradient flow in training over-parameterized models.
Fabio V. Difonzo +2 more
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The prediction of spatial and temporal variation of soil water content brings numerous benefits in the studies of soil. However, it requires a considerable number of covariates to be included in the study, complicating the analysis.
Ester Carbó +5 more
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The optimal methods for the synthesis of mechanisms in rehabilitation usually require solving constrained optimization problems. Metaheuristic algorithms are frequently used to solve these problems with the inclusion of Constraint-Handling Techniques ...
José Saúl Muñoz-Reina +3 more
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THE BOUNDEDNESS OF SOLUTIONS FOR STOCHASTIC DIFFERENTIAL INCLUSIONS [PDF]
Let \((\Omega,{\mathcal F},P)\) be a complete probability with a right-continuous increasing family \(({\mathcal F_t})_{t\geq 0}\) of \(\sigma\)-fields each containing all \(P\)-nul sets. Let \(B= (B_t)_{t\geq 0}\) be an \(r\)-dimensional \(({\mathcal F}_t)\)-Brownian motion.
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On the Relationship Between Solutions of Stochastic and Random Differential Inclusions [PDF]
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di erential inclusion obtained after a change of variable are proved. As a consequence, we obtain the pullback convergence of the solutions of the stochastic inclusion to a compact random set.
Caraballo Garrido, Tomás +2 more
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A market model: uncertainty and reachable sets
Uncertain parameters are always present in models that include human factor. In marketing the uncertain consumer behavior makes it difficult to predict the future events and elaborate good marketing strategies.
Raczynski Stanislaw
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