The complex nature of lithium-ion battery degradation has led to many machine learning-based approaches for health forecasting being proposed in the literature. However, learning using sophisticated models can be computationally expensive, and although linear are faster they also inflexible. Piecewise-linear offer a compromise—a fast flexible alternative that is not as expensive techniques such...

In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of fuzzy differential equations. The existence, uniqueness and convergence of the approximate solution are investigated. To sho...

This report describes a new set of macromolecular descriptors of relevance to protein QSAR/QSPR studies, protein's quadratic indices. These descriptors are calculated from the macromolecular pseudograph's alpha-carbon atom adjacency matrix. A study of the protein stability effects for a complete set of alanine substitutions in Arc repressor illustrates this approach. Quantitative Structure-Stab...

In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...

This supplementary material contains technical details on the structure of the Grassmann manifold (Section A), our shooting strategy for Grassmannian geodesic regression (GGR, Section B), and the continuous piecewise GGR (Section C). The references to sections that appear in the paper [2] are marked as [Paper, §xxx]. The source code and further updates are also provided here: https://yi_hong@bi...

Functional data analysis has received considerable recent attention and a number of successful applications have been reported. In this paper, asymptotically simultaneous confidence bands are obtained for the mean function of the functional regression model, using piecewise constant spline estimation. Simulation experiments corroborate the asymptotic theory. The confidence band procedure is ill...

We introduce a Bayesian semiparametric methodology for joint quantile regression with linearity and piecewise linearity constraints. We develop a probability model for all quantile curves in a continuum that define a coherent sampling distribution of the response variable. We provide a detailed illustration of model fitting and inference by analyzing wind speed trends of tropical cyclones in th...

sufficient measurements of effective parameters with suitable temporal and spatial distributions for all phenomena are needed. however, providing the data and informations are difficult and costly. so, temporal and/or spatial downscaling is of prime importance. by downscaling, one can generate data from available ones. there are diffent downscaling methods in literature but they are not compare...