the National Social Science Foundation of China(Grant No.22BTJ035).
The classification of functional data has drawn much attention in recent years.The main challenge is representing infinite-dimensional functional data by finite-dimensional features while utilizing those features to a...
supported in part by the National Natural Science Foundation of China(Grant No.61471410).
is not completely clear which elements constitute the frame sets of the B-splines currently,but some considerable results have been obtained.In this paper,firstly,the background of frame set is introduced.Secondly,the...
supported by the National Key R&D Program of China(2020YFB1708900);NSF of China(No.61872328);the Youth Innovation Promotion Association CAS.
Topology optimization plays an important role in a wide range of engineering applications.In this paper,we propose a novel isogeometric topology optimization algorithm based on deep learning.Unlike the other neural ne...
The first and third authors were supported by FAPERJ and CNPq,Brazil.The second author acknowledges the support of the Natural Sciences and Engineering Research Council of Canada(NSERC),funding reference number RGPIN-2021-02632。
In this work we fit an epidemiological model SEIAQR(Susceptible-Exposed-Infectious-Asymptomatic-Quarantined-Removed)to the data of the first COVID-19 outbreak in Rio de Janeiro,Brazil.Particular emphasis is given to t...
supported by the National Key Research and Development Program of China(No.2020YFA0714200);the National Science Foundation of China(No.12125103,No.12071362,No.11971468,No.11871474,No.11871385);the Natural Science Foundation of Hubei Province(No.2021AAA010,No.2019CFA007);the Fundamental Research Funds for the Central Universities.
In recent years,physical informed neural networks(PINNs)have been shown to be a powerful tool for solving PDEs empirically.However,numerical analysis of PINNs is still missing.In this paper,we prove the convergence ra...
In this paper, a semi-parametric regression model with an adaptive LASSO penalty imposed on both the linear and the nonlinear components of the mode is considered. The model is rewritten so that a signed-rank techniqu...
In this paper,a proficient numerical technique for the time-fractional telegraph equation(TFTE)is proposed.The chief aim of this paper is to utilize a relatively new type of B-spline called the cubic trigonometric B-s...
We would like to thank the anonymous reviewers and our labo-ratory group for helpful discussions and comments.The work is supported by the NSF of China(No.11771420).
R-function is a widely used tool when considering objects obtained through the Boolean operations start from simple base primitives.However,there is square root operation in the representation.Considering that the use...
We consider a functional partially linear additive model that predicts a functional response by a scalar predictor and functional predictors. The B-spline and eigenbasis least squares estimator for both the parametric...