Results 121 to 130 of about 3,355,987 (326)
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
Discretization of the stationary distribution of heat in the non-homogeneous body [PDF]
We give a short survey on the theory of the mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium defined on any Lipschitz domain \(\Omega\subset\mathbb{R}^n\) (\(n\geq 2\)).
Bogusław Bożek
doaj
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
Optimal Boundary Control of Non-Isothermal Viscous Fluid Flow
We study an optimal control problem for the mathematical model that describes steady non-isothermal creeping flows of an incompressible fluid through a locally Lipschitz bounded domain.
Evgenii S. Baranovskii +2 more
doaj +1 more source
Hardy Spaces and the Dirichlet Problem on Lipschitz Domains
Let D be a Lipschitz domain in \(R^ n\) (n\(\geq 3)\) and consider the ``Hardy space'' \(H^ p(D,d\sigma)=\{u\); \(\Delta u=0\) in D, \(u(P_ 0)=0\) and \(Nu\in L^ p(\partial D,d\sigma)\}\), where \(P_ 0\in D\) is a fixed point, \(d\sigma\) is the surface measure on \(\partial D\) and Du is the non-tangential maximal function of u.
Kenig, Carlos E., Pipher, Jill
openaire +3 more sources
Detecting Relevant Deviations From the White Noise Assumption for Non‐Stationary Time Series
ABSTRACT We consider the problem of detecting deviations from a white noise assumption in time series. Our approach differs from the numerous methods proposed for this purpose with respect to two aspects. First, we allow for non‐stationary time series. Second, we address the problem that a white noise test is usually not performed because one believes ...
Patrick Bastian
wiley +1 more source
Adaptive Estimation for Weakly Dependent Functional Times Series
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro +2 more
wiley +1 more source
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing
We show the well posedness of the Poisson and Stokes problems on weighted spaces over general Lipschitz domains. For a particular range of p, we consider those weights in the Muckenhoupt class A p that have no singularities in a neighborhood of the ...
E. Otárola, A. Salgado
semanticscholar +1 more source

