Results 31 to 40 of about 16,327 (277)
Graph Neural Stochastic Differential Equations [PDF]
, 2023 We present a novel model Graph Neural Stochastic Differential Equations (Graph Neural SDEs). This technique enhances the Graph Neural Ordinary Differential Equations (Graph Neural ODEs) by embedding randomness into data representation using Brownian ...
Hernandez-Lobato, Jose Miguel +3 more
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Optimal solutions to stochastic differential inclusions [PDF]
Applicationes Mathematicae, 2002 The main aim of this paper is to establish an existence theorem for the optimal weak solution \(\xi^{\ast}\) of the following problem: \[ \begin{split} E \int_{0}^{T} h(t,\xi^{\ast}_{t} ) \, dt & = \sup_{\xi} E \int_{0}^{T} h(t, \xi_{t} ) \, dt \\ \text{s.t.} \quad d\xi_{t} & \in F(t,\xi_{t} ) \, dt + G(t, \xi_{t} ) \, dW_{t} \\ P^{\xi_{0}}& = \mu ...
openaire +1 more source
Multiscale Stuart-Landau Emulators: Application to Wind-Driven Ocean Gyres
Fluids, 2018 The multiscale variability of the ocean circulation due to its nonlinear dynamics remains a big challenge for theoretical understanding and practical ocean modeling.
Dmitri Kondrashov +2 more
doaj +1 more source
Ages and transit times as important diagnostics of model performance for predicting carbon dynamics in terrestrial vegetation models [PDF]
Biogeosciences, 2018 The global carbon cycle is strongly controlled by the source/sink strength of vegetation as well as the capacity of terrestrial ecosystems to retain this carbon.
V. Ceballos-Núñez +4 more
doaj +1 more source
Transient Analysis of PCB Lines with the Inclusion of Parameters Uncertainties [PDF]
, 2011 This paper presents an effective solution for the transient analysis of long bus-like interconnects with the inclusion of geometrical and material uncertainties of the structure. The proposed approach is based on the expansion of the well-known frequency-
Stievano, Igor Simone +5 more
core +1 more source
On solutions of stochastic differential equations with parameters modeled by random sets [PDF]
, 2010 We consider ordinary stochastic differential equations whose coefficients depend on parameters. After giving conditions under which the solution processes continuously depend on the parameters random compact sets are used to model the parameter ...
Schmelzer, Bernhard, Bernhard Schmelzer
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On Stochastic Differential Inclusions with Current Velocities
Journal of Computational and Engineering Mathematics, 2015 Existence of solution theorems are obtained for stochastic differential inclusions given in terms of the so-called current velocities (symmetric mean derivatives, a direct analogs of ordinary velocity of deterministic systems) and quadratic mean derivatives (giving information on the diffusion coefficient) on the flat $n$-dimensional torus.
Yu.E. Gliklikh, A.V. Makarova
openaire +2 more sources
Stochastic inclusions and set-valued stochastic equations driven by a two-parameter Wiener process [PDF]
, 2018 In the paper we study properties of solutions to stochastic differential inclusions and set-valued stochastic differential equations driven by a two-parameter Wiener process. We establish new connections between their solutions. We prove that attainable
Kamil Łukasz Świa̧tek, Mariusz Michta
core +1 more source
A parabolic stochastic differential inclusion [PDF]
, 2005 Stochastic differential inclusions can be considered as a generalisation of stochastic differential equations. In particular a multivalued mapping describes the set of equations, in which a solution has to be found.
Bauwe, Anne, Grecksch, Wilfried
core
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source