We extend the(outer)measureγ_(I) associated to an operator ideal I to a measureγ_(I) for bounded bilinear operators.If I is surjective and closed,and J is the class of those bilinear operators such thatγ_(I)(T)=0,w...
We propose a new method for smoothly interpolating a given set of data points on Grassmann and Stiefel manifolds using a generalization of the De Casteljau algorithm.To that end,we reduce interpolation problem to the ...
National Key Research and Development Program of China,Grant/Award Number:2023YFC3006702。
To have effective water resource management,the distributed hydrological models are commonly applied for supporting the decision-making processes.Among different inputs,the spatial distributed rainfall plays significa...
The refinement of the 1cm geoid holds significant importance in engineering applications,where the accuracy of the geoid is frequently constrained by its resolution.However,there has been limited exploration into the ...
This research was supported by the National Natural Science Foundation of China(grant number 31770687).
Using stable isotopes to detect and analyze the geographical origin of insects represents an important traceability technology,which requires a rich isotope database.In this study,we representatively sampled the Chine...
The accuracy of interpolation models applied to groundwater depends, among other factors, on the interpolation method chosen. Therefore, it is necessary to compare different approaches. For this, different methods of ...
Supported by the Foundation of China(grant number 42171419);National Science and Technology Major Project of China(grant number 2018ZX10713001).
Introduction:The prevalence of unstable and incomplete monitoring data significantly complicates syndromic analysis.Many data interpolation methods currently available demonstrate inadequate effectiveness in overcomin...
Project supported by the Natural Science Foundation of Shandong Province,China (Grant No. ZR2021MF049);the Joint Fund of Natural Science Foundation of Shandong Province (Grant Nos. ZR2022LLZ012 and ZR2021LLZ001)。
We redesign the parameterized quantum circuit in the quantum deep neural network, construct a three-layer structure as the hidden layer, and then use classical optimization algorithms to train the parameterized quantu...
partially supported by the National Key Research and Development Program of China under Grant No. 2020YFA0713703;the National Science Foundation of China under Grant Nos. 11688101, 12371384;12271516;the Fundamental Research Funds for the Central Universities。
Curve interpolation with B-spline is widely used in various areas. This problem is classic and recently raised in application scenario with new requirements such as path planning following the tangential vector field ...
supported by the National Natural Science Foundation of China (No.12172154);the 111 Project (No.B14044);the Natural Science Foundation of Gansu Province (No.23JRRA1035);the Natural Science Foundation of Anhui University of Finance and Economics (No.ACKYC20043).
In this study,a wavelet multi-resolution interpolation Galerkin method(WMIGM)is proposed to solve linear singularly perturbed boundary value problems.Unlike conventional wavelet schemes,the proposed algorithm can be r...