Results 41 to 50 of about 3,101,733 (290)

dynoGP: Deep Gaussian Processes for Dynamic System Identification

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli, Marco Forgione, Dario Piga, Marco Zaffalon   +3 more
wiley   +1 more source

Backward Stochastic Linear Quadratic Optimal Control with Expectational Equality Constraint

Mathematics
This paper investigates a backward stochastic linear quadratic control problem with an expected-type equality constraint on the initial state. By using the Lagrange multiplier method, the problem with a uniformly convex cost functional is first ...
Yanrong Lu, Jize Li, Yonghui Zhou
doaj   +1 more source

Triviality of the 2D stochastic Allen-Cahn equation [PDF]

, 2012
We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber, Martin Hairer, Hairer, Martin, Marc D. Ryser, M. Hairer, Hendrik Weber, Weber, Hendrik, M. D. Ryser, Ryser, Marc D.   +8 more
core   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Terminal-Dependent Statistical Inference for the Integral Form of FBSDE

Discrete Dynamics in Nature and Society, 2013
Backward Stochastic Differential Equation (BSDE) has been well studied and widely applied. The main difference from the Original Stochastic Differential Equation (OSDE) is that the BSDE is designed to depend on a terminal condition, which is a key factor
Qi Zhang
doaj   +1 more source

Homogenization of periodic elliptic degenerate PDEs with non-linear Neumann boundary condition

Partial Differential Equations in Applied Mathematics, 2021
In this paper, a semi-linear elliptic partial differential equation (PDE) with non linear Neumann boundary condition and rapidly oscillating coefficients is homogenized.
Mohamed Marzougue, Ibrahima Sane
doaj   +1 more source

Semi-linear degenerate backward stochastic partial differential equations and associated forward–backward stochastic differential equations

Stochastic Processes and their Applications, 2013
23 ...
Du, Kai, Zhang, Qi
openaire   +4 more sources

Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization

Advanced Engineering Materials, EarlyView.
Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier, Moritz Blum, Luana Caron, Alisa Chirkova, Philipp Cimiano, Basil Ell, Inga Ennen, Michael Feige, Maik Gaerner, Thomas Hilbig, Andreas Hütten, Günter Reiss, Tapas Samanta, Sonja Schöning, Christian Schröder, Lennart Schwan, Chris Taake, Martin Wortmann   +17 more
wiley   +1 more source

Dynamic programming principle for backward doubly stochastic recursive optimal control problem and sobolev weak solution of the stochastic Hamilton-Jacobi-Bellman equation

Fundamental Research
In this paper, we investigate a backward doubly stochastic recursive optimal control problem wherein the cost function is expressed as the solution to a backward doubly stochastic differential equation.
Yunhong Li, Anis Matoussi, Lifeng Wei, Zhen Wu   +3 more
doaj   +1 more source

A stochastic Fubini theorem: BSDE method

Journal of Inequalities and Applications, 2017
In this paper, we prove a stochastic Fubini theorem by solving a special backward stochastic differential equation (BSDE, for short) which is different from the existing techniques. As an application, we obtain the well-posedness of a class of BSDEs with
Yanqing Wang
doaj   +1 more source