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Fusing time, frequency and shape-related information: Introduction to the Discrete Shapelet Transform's second generation (DST-II)
(2018-05-01)
This article introduces the second generation of the Discrete Shapelet Transform (DST-II), a tool created for fusing three types of information: time, frequency and shape-related. Considered a particular Discrete Wavelet ...
On computational aspects of discrete Sobolev inner products on the unit circle
(2013-09-17)
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete ...
On computational aspects of discrete Sobolev inner products on the unit circle
(2013-09-17)
In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete ...
CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
(2020-01-01)
Wavelets have been placed at the forefront of scientific researches involving signal processing, applied mathematics, pattern recognition and related fields. Nevertheless, as we have observed, students and young researchers ...
The truss‐like discrete element method in fracture and damage mechanics
(Emerald Group Publishing Limited, 2011-12)
Purpose: It is the purpose of this paper to further develop the truss-like discrete element method (DEM) in order to make it suitable to deal with damage and fracture problems. Design/methodology/approach: Finite and ...
On the discretization and control of an SEIR epidemic model with a periodic impulsive vaccination
This paper deals with the discretization and control of an SEIR epidemic model. Such a model
describes the transmission of an infectious disease among a time-varying host population. The model
assumes mortality from ...
Implicit Euler Time-Discretization of a Class of Lagrangian Systems with Set-Valued Robust Controller
(Heldermann Verlag, 2016)
A class of Lagrangian continuous dynamical systems with set-valued controller and subjected to a perturbation force has been thoroughly studied in [3]. In this paper, we study the time discretization of these set-valued ...
Error analysis of forced discrete mechanical systems
(American Institute of Mathematical Sciences, 2021-12)
The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Es- sentially, we prove that when a discretization of contact order r of the La- ...
Discretization of gene expression data revised
(Oxford University Press, 2015-09)
Gene expression measurements represent the most important source of biological data used to unveil theinteraction and functionality of genes. In this regard, several data mining and machine learning algorithms havebeen ...
Riemannian Submersions with Discrete Spectrum
(SPRINGERNEW YORK, 2012)
We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the fibers. When the fibers of the submersions ...