Results 81 to 90 of about 4,761,041 (315)

A note on the Malliavin–Sobolev spaces [PDF]

Statistics & Probability Letters, 2016
In this paper, we provide a strong formulation of the stochastic G{ }teaux differentiability in order to study the sharpness of a new characterization, introduced in [6], of the Malliavin-Sobolev spaces. We also give a new internal structure of these spaces in the sense of sets inclusion.
Imkeller, Peter, Mastrolia, Thibaut, Possamaï, Dylan, Réveillac, Anthony   +3 more
openaire   +4 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Optimal stencils in Sobolev spaces [PDF]

IMA Journal of Numerical Analysis, 2017
This paper proves that the approximation of pointwise derivatives of order $s$ of functions in Sobolev space $W_2^m(\R^d)$ by linear combinations of function values cannot have a convergence rate better than $m-s-d/2$, no matter how many nodes are used for approximation and where they are placed.
Davydov, Oleg, Schaback, Robert
openaire   +4 more sources

A regional implementation of a mixed finite‐element, semi‐implicit dynamical core

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A regional version of a new dynamical core with an iterated semi‐implicit time discretisation and mixed finite‐element spatial discretisation is described. This involves modifying the mixed‐system and Helmholtz‐preconditioner equations to use lateral boundary condition (LBC) data specified by a driving model.
Christine Johnson, Ben Shipway, Thomas Melvin, Thomas Bendall, James Kent, Ian Boutle, Alex Brown, Mohamed Zerroukat, Benjamin Buchenau, Nigel Wood   +9 more
wiley   +1 more source

Trace principle for Riesz potentials on Herz-type spaces and applications

Journal of Inequalities and Applications
We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
doaj   +1 more source

Fractional Maximal Functions in Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2013
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni, Lehrbäck Juha, Nuutinen Juho, Tuominen Heli   +3 more
doaj   +1 more source

Polynomial differentiation decreases the training time complexity of physics-informed neural networks and strengthens their approximation power

Machine Learning: Science and Technology, 2023
We present novel approximates of variational losses, being applicable for the training of physics-informed neural networks (PINNs). The formulations reflect classic Sobolev space theory for partial differential equations (PDEs) and their weak ...
Juan-Esteban Suarez Cardona, Michael Hecht   +1 more
doaj   +1 more source

Decentralized propaganda in the era of digital media: The massive presence of the Chinese state on Douyin

American Journal of Political Science, EarlyView.
Abstract The rise of social media in the digital era poses unprecedented challenges to authoritarian regimes that aim to influence public attitudes and behaviors. To address these challenges, we argue that authoritarian regimes have adopted a decentralized approach to produce and disseminate propaganda on social media.
Yingdan Lu, Jennifer Pan, Xu Xu, Yiqing Xu   +3 more
wiley   +1 more source

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Dynamically Consistent Analysis of Realized Covariations in Term Structure Models

Mathematical Finance, EarlyView.
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley   +1 more source