This paper presents learning rates for the least-square regularized regression algorithms with polynomial kernels. The target is the error analysis for the regression problem in learning theory. A regularization schem...This paper presents learning rates for the least-square regularized regression algorithms with polynomial kernels. The target is the error analysis for the regression problem in learning theory. A regularization scheme is given, which yields sharp learning rates. The rates depend on the dimension of polynomial space and polynomial reproducing kernel Hilbert space measured by covering numbers. Meanwhile, we also establish the direct approximation theorem by Bernstein-Durrmeyer operators in $ L_{\rho _X }^2 $ with Borel probability measure.展开更多
Plant tissue sap analysis is becoming an established tool for crop fertilization recommendation. Few research was conducted to use it as screening tools in crop breeding. With introduction of hhand-held sap analysis m...Plant tissue sap analysis is becoming an established tool for crop fertilization recommendation. Few research was conducted to use it as screening tools in crop breeding. With introduction of hhand-held sap analysis meters, sap analysis is becoming a promising tool for genotype screening. In this study, we measured Brix and pH of flag leaf juice of 10 winter wheat genotypes after heading stage. Brix value tended to increase during the measurement period. Brix value of flag leaf sap was negatively correlated with kernel number per spike and grain yield per spike, positively correlated with kernel weight. The pH values of flag leaf sap were negatively correlated with kernel number per spike and grain yield per spike, positively correlated with kernel weight.展开更多
We investigate some problems for truncated Toeplitz operators. Namely, the solvability of the Riccati operator equation on the set of all truncated Toeplitz operators on the model space Kθ = H^2θθH^2 is studied. We...We investigate some problems for truncated Toeplitz operators. Namely, the solvability of the Riccati operator equation on the set of all truncated Toeplitz operators on the model space Kθ = H^2θθH^2 is studied. We study in terms of Berezin symbols invertibility of model operators. We also prove some results for the Berezin number of the truncated Toeplitz operators. Moreover, we study some property for H2-functions in terms of noncyclicity of co-analytic Toeplitz operators and hypercyclicity of model operators.展开更多
Using the linear space over the binary field that related to a graph G, a sufficient and necessary condition for the chromatic number of G is obtained.
Asparagus officinalis L.is favored by its high health function,but its hybrid seeds are expensive.The amount of seed,seed plumpness and germination rate are related to the production costs of breeding enterprises and ...Asparagus officinalis L.is favored by its high health function,but its hybrid seeds are expensive.The amount of seed,seed plumpness and germination rate are related to the production costs of breeding enterprises and large growers.Therefore,it is necessary to investigate the seed number and thousand kernel weight of A.officinalis L.This study developed a quick and accurate method to measure the seed number and thousand kernel weight of A.officinalis L.using image processing technology.Seed sample of A.officinalis L.was scanned with 200 dpi resolution,and the seed number was then obtained using Image-ProPlus software.After weighing the seeds,thousand kernel weight was finally calculated.By recording‘macro’,the batch processing of the samples can also be realized.This method is simple and accurate,and can greatly save the time of investigation.展开更多
文摘This paper presents learning rates for the least-square regularized regression algorithms with polynomial kernels. The target is the error analysis for the regression problem in learning theory. A regularization scheme is given, which yields sharp learning rates. The rates depend on the dimension of polynomial space and polynomial reproducing kernel Hilbert space measured by covering numbers. Meanwhile, we also establish the direct approximation theorem by Bernstein-Durrmeyer operators in $ L_{\rho _X }^2 $ with Borel probability measure.
基金Item supported by national natural sciencefoundation (No.20337010)
文摘Plant tissue sap analysis is becoming an established tool for crop fertilization recommendation. Few research was conducted to use it as screening tools in crop breeding. With introduction of hhand-held sap analysis meters, sap analysis is becoming a promising tool for genotype screening. In this study, we measured Brix and pH of flag leaf juice of 10 winter wheat genotypes after heading stage. Brix value tended to increase during the measurement period. Brix value of flag leaf sap was negatively correlated with kernel number per spike and grain yield per spike, positively correlated with kernel weight. The pH values of flag leaf sap were negatively correlated with kernel number per spike and grain yield per spike, positively correlated with kernel weight.
文摘We investigate some problems for truncated Toeplitz operators. Namely, the solvability of the Riccati operator equation on the set of all truncated Toeplitz operators on the model space Kθ = H^2θθH^2 is studied. We study in terms of Berezin symbols invertibility of model operators. We also prove some results for the Berezin number of the truncated Toeplitz operators. Moreover, we study some property for H2-functions in terms of noncyclicity of co-analytic Toeplitz operators and hypercyclicity of model operators.
文摘Using the linear space over the binary field that related to a graph G, a sufficient and necessary condition for the chromatic number of G is obtained.
基金Modern Agricultural Industry Technology System Project(CARS-23-G-05)Modern Agricultural Science and Technology Innovation Project of Hebei Academy of Agriculture and Forestry Sciences(2019-3-2-1)the Third Batch of"Giant Plan"Vegetable Scientific Research and Innovation Team Project in Hebei Province.
文摘Asparagus officinalis L.is favored by its high health function,but its hybrid seeds are expensive.The amount of seed,seed plumpness and germination rate are related to the production costs of breeding enterprises and large growers.Therefore,it is necessary to investigate the seed number and thousand kernel weight of A.officinalis L.This study developed a quick and accurate method to measure the seed number and thousand kernel weight of A.officinalis L.using image processing technology.Seed sample of A.officinalis L.was scanned with 200 dpi resolution,and the seed number was then obtained using Image-ProPlus software.After weighing the seeds,thousand kernel weight was finally calculated.By recording‘macro’,the batch processing of the samples can also be realized.This method is simple and accurate,and can greatly save the time of investigation.
