Results 91 to 100 of about 13,676,050 (240)

Resistance Conditions and Applications

Analysis and Geometry in Metric Spaces, 2013
This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several ...
Kinnunen Juha, Silvestre Pilar
doaj   +1 more source

Medial Axis Aware Learning of Signed Distance Functions

Computer Graphics Forum, EarlyView.
Abstract We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is explicitly taken into account through a higher‐order variational formulation that enforces linear growth ...
Samuel Weidemaier, Christoph Norden‐Smoch, Martin Rumpf   +2 more
wiley   +1 more source

Strictly Conservative Neural Distance Fields

Computer Graphics Forum, EarlyView.
Abstract We propose a first method to generate neural unsigned or signed distance fields (SDFs) that are guaranteed to be conservative with respect to a given 3D shape. This means the true distance is never overestimated and the zero‐level set is a bounding volume for the shape. The method makes use of neural network architectures that ensure Lipschitz
I. Ludwig, M. Campen
wiley   +1 more source

Lipschitz conditions satisfied by Hankel transforms

, 1995
It is shown that Hankel transforms of functions on certain weighted LP spaces satisfy Lipschitz and integral Lipschitz conditions. In particular, Fourier-cosine and Fourier-sine transforms satisfy such Lipschitz conditions on such spaces.
P. Heywood, P. G. Rooney
core   +1 more source

Stochastic monotonicity and duality for one-dimensional Markov processes [PDF]

, 2011
The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [11]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core   +1 more source

A Splitting Architecture for Exact Reduced Coulomb Friction

Computer Graphics Forum, EarlyView.
Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song, Ye Fan, Uri M. Ascher, Dinesh K. Pai   +3 more
wiley   +1 more source

On the relationship between coercivity conditions and CPS type conditions of local Lipschitz functional

四川大学学报. 自然科学版
In this paper， using Ekeland’s variational principle and Clarke’s generalized gradient theory for non-smooth local Lipschitz functional， we study the relationship between classical coercive condition and Palais-Smale type condition generalized by Gong ...
ZHANG Xin-Yu, ZHANG Shi-Qing
doaj  

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
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, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

Basic theory of differential equations with linear perturbations of second type on time scales

Boundary Value Problems, 2019
In this paper, we develop the theory of differential equations with linear perturbations of second type on time scales. An existence theorem for differential equations with linear perturbations of second type on time scales is given under D $\mathscr{D}$
Yige Zhao, Yibing Sun, Zhi Liu, Zhanbing Bai   +3 more
doaj   +1 more source

A note on generalised information criteria for structured sparse models

International Statistical Review, EarlyView.
Summary We propose a generalised information criteria ( gic) that accounts for sparsity pattern in the model. We obtain both asymptotic and nonasymptotic results for model selection. Moreover, we show that the gic is useful for selecting the regularisation parameter in regularised m$$ m $$ estimation in high‐dimensional scenarios.
Eduardo Fonseca Mendes, Gabriel Jardim Pereira Pinto   +1 more
wiley   +1 more source