An introduction to regular splines and their application for initial value problems of ordinary differential equations [PDF]
This report describes an application of the general method of integrating initial value problems by means of regular splines for equations with movable singularities.
Werner, H
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Unstructured spline spaces for isogeometric analysis based on spline manifolds
Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold structure, which allows for the definition of function spaces that have a ...
Sangalli, Giancarlo +2 more
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Advanced Design for Weakly Coupled Resonators by Automatic Active Optimization
An Automatic Active Optimization (AAO) strategy integrates machine learning predictors and genetic algorithms in a closed‐loop workflow. By iteratively expanding its dataset with new discoveries, AAO overcomes the limits of conventional methods. This approach finds superior microstructural designs beyond the initial sample space. We demonstrate this on
Wei Yue +8 more
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Regularity of Dual Gabor Windows
We present a construction of dual windows associated with Gabor frames with compactly supported windows. The size of the support of the dual windows is comparable to that of the given window.
Ole Christensen +2 more
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Stability Analysis of Some Fractional Differential Equations by Special type of Spline Function
One fractional spline interpolation is presented in this paper for the solution fractional initial value problems that is with spline interpolation as a new class depended on class splines as a method to approximate the exact solution of such problem. Error bounds were discussed as the presented spline function.
Faraidun HamaSalh, Amina Ali
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Smoothing splines with varying smoothing parameter
This paper considers the development of spatially adaptive smoothing splines for the estimation of a regression function with non-homogeneous smoothness across the domain.
Du, Pang, Shen, Jinglai, Wang, Xiao
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Early Radiation Therapy Response Assessment Using Multi‐Scale Photoacoustic Imaging
Tomographic and mesoscopic photoacoustics capture intratumoural features of radioresistance and response. ABSTRACT There is a critical unmet clinical need to identify biomarkers that predict and detect radiation therapy (RT) response in cancer. Using the unique capabilities of multi‐scale photoacoustic imaging (PAI) to depict tumor oxygenation and ...
Thierry L. Lefebvre +12 more
wiley +1 more source
Network or regression-based methods for disease discrimination: a comparison study
Background In stark contrast to network-centric view for complex disease, regression-based methods are preferred in disease prediction, especially for epidemiologists and clinical professionals.
Xiaoshuai Zhang +4 more
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The Property of a Special Type of Exponential Spline Function
Approximation theory experienced a long term history. Since 50’ last century, the rise of spline function as well as the advance of calculation promotes the growth of classical approximation theory and makes them develop a profound theory in maths, and application values have shown among the field of scientific calculation and engineering technology ...
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A Wearable Brain–Computer Interface for Mitigating Car Sickness via Attention Shifting
Car sickness poses a major challenge in vehicular travel, yet effective nonpharmacological solutions are scarce. We developed a wearable, closed‐loop mindfulness BCI that uses real‐time EEG‐based neurofeedback to shift attention away from motion‐induced discomfort. Validated in real‐car experiments involving >100$>100$ susceptible individuals, over 83%
Jiawei Zhu +14 more
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