As we know, Newton's interpolation polynomial is based on divided differ-ences which can be calculated recursively by the divided-difference scheme while Thiele'sinterpolating continued fractions are geared to...As we know, Newton's interpolation polynomial is based on divided differ-ences which can be calculated recursively by the divided-difference scheme while Thiele'sinterpolating continued fractions are geared towards determining a rational functionwhich can also be calculated recursively by so-called inverse differences. In this paper,both Newton's interpolation polynomial and Thiele's interpolating continued fractionsare incorporated to yield a kind of bivariate vector valued blending rational interpolantsby means of the Samelson inverse. Blending differences are introduced to calculate theblending rational interpolants recursively, algorithm and matrix-valued case are dis-cussed and a numerical example is given to illustrate the efficiency of the algorithm.展开更多
多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别...多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别建立电、气、热能源系统的全纯嵌入能流模型;其次,分析全纯嵌入法在多能流计算中的递归求解原理,将幂级数系数的传递划分为横向传递与纵向传递两类,建立可分向传递求解的电-气-热IES全纯嵌入多能流模型;接着,推导各全纯嵌入状态量的幂级数系数递归关系,通过幂级数系数的分向传递,递归求取状态量的幂级数系数,实现电-气-热多能流求解;最后,算例结果表明,所提方法能够以少量的交互信息实现多能流计算,具有更优的收敛性能和计算效率。展开更多
In this paper the new notion of multivariate least-squares orthogonal poly-nomials from the rectangular form is introduced. Their existence and uniqueness isstudied and some methods for their recursive computation are...In this paper the new notion of multivariate least-squares orthogonal poly-nomials from the rectangular form is introduced. Their existence and uniqueness isstudied and some methods for their recursive computation are given. As an applica-is constructed.展开更多
Images captured in rainy days suffer from noticeable degradation of scene visibility.Unmanned aerial vehicles(UAVs),as important outdoor image acquisition systems,demand a proper rain removal algorithm to improve visu...Images captured in rainy days suffer from noticeable degradation of scene visibility.Unmanned aerial vehicles(UAVs),as important outdoor image acquisition systems,demand a proper rain removal algorithm to improve visual perception quality of captured images as well as the performance of many subsequent computer vision applications.To deal with rain streaks of different sizes and directions,this paper proposes to employ convolutional kernels of different sizes in a multi-path structure.Split attention is leveraged to enable communication across multiscale paths at feature level,which allows adaptive receptive field to tackle complex situations.We incorporate the multi-path convolution and the split attention operation into the basic residual block without increasing the channels of feature maps.Moreover,every block in our network is unfolded four times to compress the network volume without sacrificing the deraining performance.The performance on various benchmark datasets demonstrates that our method outperforms state-of-the-art deraining algorithms in both numerical and qualitative comparisons.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10171026 and in part by the Foundation for Excellent Young Teachers of the Ministry of Education of China and the Financially-Aiding Program for the Backbone Teachers of the Min
文摘As we know, Newton's interpolation polynomial is based on divided differ-ences which can be calculated recursively by the divided-difference scheme while Thiele'sinterpolating continued fractions are geared towards determining a rational functionwhich can also be calculated recursively by so-called inverse differences. In this paper,both Newton's interpolation polynomial and Thiele's interpolating continued fractionsare incorporated to yield a kind of bivariate vector valued blending rational interpolantsby means of the Samelson inverse. Blending differences are introduced to calculate theblending rational interpolants recursively, algorithm and matrix-valued case are dis-cussed and a numerical example is given to illustrate the efficiency of the algorithm.
文摘多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别建立电、气、热能源系统的全纯嵌入能流模型;其次,分析全纯嵌入法在多能流计算中的递归求解原理,将幂级数系数的传递划分为横向传递与纵向传递两类,建立可分向传递求解的电-气-热IES全纯嵌入多能流模型;接着,推导各全纯嵌入状态量的幂级数系数递归关系,通过幂级数系数的分向传递,递归求取状态量的幂级数系数,实现电-气-热多能流求解;最后,算例结果表明,所提方法能够以少量的交互信息实现多能流计算,具有更优的收敛性能和计算效率。
基金This work is supported by NNSF(10271022)of China.
文摘In this paper the new notion of multivariate least-squares orthogonal poly-nomials from the rectangular form is introduced. Their existence and uniqueness isstudied and some methods for their recursive computation are given. As an applica-is constructed.
基金the Fundation of Graduate Innovation Center in Nanjing University of Aeronautics and Astronautics(No.kfjj20191601).
文摘Images captured in rainy days suffer from noticeable degradation of scene visibility.Unmanned aerial vehicles(UAVs),as important outdoor image acquisition systems,demand a proper rain removal algorithm to improve visual perception quality of captured images as well as the performance of many subsequent computer vision applications.To deal with rain streaks of different sizes and directions,this paper proposes to employ convolutional kernels of different sizes in a multi-path structure.Split attention is leveraged to enable communication across multiscale paths at feature level,which allows adaptive receptive field to tackle complex situations.We incorporate the multi-path convolution and the split attention operation into the basic residual block without increasing the channels of feature maps.Moreover,every block in our network is unfolded four times to compress the network volume without sacrificing the deraining performance.The performance on various benchmark datasets demonstrates that our method outperforms state-of-the-art deraining algorithms in both numerical and qualitative comparisons.
