Results 1 to 10 of about 2,417 (212)
Stochastic growth equations and reparametrization invariance [PDF]
Reviews of Modern Physics, 1996 It is shown that, by imposing reparametrization invariance, one may derive a variety of stochastic equations describing the dynamics of surface growth and identify the physical processes responsible for the various terms. This approach provides a particularly transparent way to obtain continuum growth equations for interfaces.
Matteo Marsili +2 more
exaly +4 more sources
A Reparametrization Approach for Dynamic Space-Time Models [PDF]
Journal of Statistical Theory and Practice, 2008 Researchers in diverse areas such as environmental and health sciences are increasingly working with data collected across space and time. The space-time processes that are generally used in practice are often complicated in the sense that the auto-dependence structure across space and time is non-trivial, often non-separable and non-stationary in ...
Sujit K Ghosh
exaly +5 more sources
Analytic reparametrization of semi-algebraic sets
Journal of Complexity, 2008 The paper concerns the controlled parametrizations of compact semi-algebraic sets. The main result is a generalization, to the analytic case, of the following theorem (Yomdin, Gromov). For any natural \(k\) and any compact semi-algebraic set \(A\subset I^{n}\subset \mathbb{R}^{n}\) (\(I:=[-1,1]\)) there exists a subdivision of \(A\) into semi-algebraic
Y Yomdin
exaly +4 more sources
Reparametrization of the Colle–Salvetti formula [PDF]
Royal Society Open Science, 2022 We investigate the Colle–Salvetti (CS) formula, the basis of the Lee, Yang and Parr (LYP) correlation functional used in approximate density functional theory.
Adam L. Baskerville +2 more
doaj +4 more sources
Perfect Density Models Cannot Guarantee Anomaly Detection [PDF]
Entropy, 2021 Thanks to the tractability of their likelihood, several deep generative models show promise for seemingly straightforward but important applications like anomaly detection, uncertainty estimation, and active learning.
Charline Le Lan, Laurent Dinh
doaj +2 more sources
Normal and equivolumetric coordinate systems for cortical areas [PDF]
MethodsXWe describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains.
Laurent Younes +2 more
doaj +2 more sources
Proper Reparametrization of Rational Ruled Surface [PDF]
2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics, 2007 In this paper, we present a proper reparametrization algorithm for rational ruled surfaces. That is, for an improper rational parametrization of a ruled surface, we construct a proper rational parametrization for the same surface. The algorithm consists of three steps.
Li-Yong Shen, Xiaoshan Gao
exaly +2 more sources
Nonlinear Kalman Filtering with Reparametrization Gradients
2024 9th International Conference on Frontiers of Signal Processing (ICFSP)We introduce a novel nonlinear Kalman filter that utilizes reparametrization gradients. The widely used parametric approximation is based on a jointly Gaussian assumption of the state-space model, which is in turn equivalent to minimizing an approximation to the Kullback-Leibler divergence. It is possible to obtain better approximations using the alpha
San Gültekin, John Paisley
exaly +3 more sources
The μ-Basis of Improper Rational Parametric Surface and Its Application
Mathematics, 2021 The μ-basis is a newly developed algebraic tool in curve and surface representations and it is used to analyze some essential geometric properties of curves and surfaces.
Sonia Pérez-Díaz, Li-Yong Shen
doaj +1 more source
The Burr XII Autoregressive Moving Average Model
Computer Sciences & Mathematics Forum, 2023 The present work proposes a new class of model for random variables with support in the positive real line, this model explains the conditional quantile and is an alternative for modeling data that indicate asymmetric behavior and heavy tails. We present
Fernando José Monteiro de Araújo +2 more
doaj +1 more source