Results 111 to 120 of about 417,873 (284)

Hoffman’s Error Bounds and Uniform Lipschitz Continuity of Best l(p) -Approximations [PDF]

, 1997
In a central paper on smoothness of best approximation in 1968 R. Holmes and B. Kripke proved among others that on ℝn, endowed with the lρ-norm, 1\u3c p \u3c ∞, the metric projection onto a given linear subspace is Lipschitz continuous where the ...
Finzel, M., Li, W., Xu, Y., Berens, H.
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

Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in L1 [PDF]

, 1991
The relations between the lower semicontinuity of the metric projection PG onto a finite-dimensional subspace G of L1, the Lipschitz continuity of PG, the existence of continuous selections for PG, and uniform strong uniqueness of PG are studied.
Li, Wu, Deutsch, Frank
core   +1 more source

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

Lipschitz continuity of solution multifunctions of extended $\ell_1$ regularization problems [PDF]

In this paper we obtain a verifiable sufficient condition for a polyhedral multifunction to be Lipschitz continuous on its domain. We apply this sufficient condition to establish the Lipschitz continuity of the solution multifunction for an extended ...
Yang, Xiaoqi, Wu, Pengcheng, Meng, Kaiwen   +2 more
core   +1 more source

Functional Vašiček Model

Journal of Time Series Analysis, EarlyView.
ABSTRACT We propose a new formulation of the Vašičekmodel within the framework of functional data analysis. We treat observations (continuous‐time rates) within a suitably defined trading day as a single statistical object. We then consider a sequence of such objects, indexed by day.
Piotr Kokoszka, Neda Mohammadi, Leonardo Santoro, Hong Miao, Haonan Wang   +4 more
wiley   +1 more source

Density‐Valued ARMA Models by Spline Mixtures

Journal of Time Series Analysis, EarlyView.
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
Yasumasa Matsuda, Rei Iwafuchi
wiley   +1 more source

Robust CDF‐Filtering of a Location Parameter

Journal of Time Series Analysis, EarlyView.
ABSTRACT This paper introduces a novel framework for designing robust filters associated with signal plus noise models having symmetric observation density. The filters are obtained by a recursion where the innovation term is a transform of the cumulative distribution function of the residuals.
Leopoldo Catania, Andrew C. Harvey, Alessandra Luati   +2 more
wiley   +1 more source

A class of fractional order neural network systems with sector dead zones for synchronization

Nantong Daxue xuebao. Ziran kexue ban
Synchronization is examined for a class of fractional order neural network systems with sector dead zones and orders between 1 and 2. Through variable replacement, the synchronization problem for systems with orders in(1,2) is reformulated as one with ...
JIANG Wenfang;LIU Heng
doaj   +1 more source

Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators

Journal of Applied Mathematics, 2014
We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we
Qiu Lin
doaj   +1 more source