Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order princip...Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit （HOPCP）, since it is critical in multi-way data analysis. Unlike the convexification （nuclear norm） for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme： the augmented Lagrangian alternating direction method （ALADM） and its truncated higher-order singular value decomposition （ALADM-THOSVD） version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing.展开更多
为建立一种适宜的板栗资源果实品质评价方法,本研究以25个板栗品种为研究对象,选取21项品质指标进行测定,通过主成分分析结合相关性分析、描述性统计分析的方法筛选影响板栗品质的核心评价指标,基于熵权法对核心指标赋予权重,并建立灰...为建立一种适宜的板栗资源果实品质评价方法,本研究以25个板栗品种为研究对象,选取21项品质指标进行测定,通过主成分分析结合相关性分析、描述性统计分析的方法筛选影响板栗品质的核心评价指标,基于熵权法对核心指标赋予权重,并建立灰色关联度评价模型。结果表明,不同品种板栗多项指标存在显著差异(P<0.05),且多个指标间存在显著相关性,主成分分析确立了水分、直链淀粉与支链淀粉含量的比值(Ratio of amylose to amylopectin,AA)、总黄酮、好果率、果形指数、硬度、可溶性糖和还原糖为核心指标,熵权法计算核心指标的权重分别为14.08%、14.64%、15.64%、7.74%、9.41%、9.11%、18.90%、10.48%。灰色关联度分析结果表明,丹栗1号、丹东9113和qX-005综合品质列前三位。经聚类分析将25个品种板栗分为4类,第一类板栗适宜开发功能性饮品;第二类板栗适合取仁加工,制作罐头、果脯等产品,或加工成板栗粉用于面包、饼干等产品的制作;第三类板栗可作为优质的食品原料;第四类板栗适宜炒食,也适宜作为直售坚果。本研究结果为板栗优质资源筛选及品种的选育提供参考,也为各品种的综合利用提供了理论依据。展开更多
为获得‘雀嘴茶’中乌金苷(6′-O-caffioylarbutin,CA)、绿原酸(3′-O-caffeoylquinic acid,CGA)和熊果苷(arbutin,Arb)3种主效成分高保留的干燥方法,该研究采用热风干燥(hot air drying,HAD)、真空冷冻干燥(freeze vacuum drying,FVD)...为获得‘雀嘴茶’中乌金苷(6′-O-caffioylarbutin,CA)、绿原酸(3′-O-caffeoylquinic acid,CGA)和熊果苷(arbutin,Arb)3种主效成分高保留的干燥方法,该研究采用热风干燥(hot air drying,HAD)、真空冷冻干燥(freeze vacuum drying,FVD)、真空干燥(vacuum drying,VD)、日晒干燥(sun drying,SD)、微波干燥(microware drying,MD)、自然阴干(natural air drying,NAD)、煮制阴干(boiling and natural air drying,B-NAD)、蒸制阴干(steaming and natural air drying,S-NAD)和烫制阴干(quick-boiling and natural air drying,QB-NAD)9种干燥方法对樟叶越桔叶芽进行干燥处理,并利用HPLC建立3种主效成分含量分析方法。进一步设置6个不同预处理时间对创新方法S-NAD、QB-NAD和B-NAD进行了优化试验。结果显示,9种干燥方法获得的3种主效成分含量均表现出CA>CGA>Arb。S-NAD是CA和CGA含量最高保留的干燥方法,分别高达428.726 mg/g和13.213 mg/g,VD是Arb含量最高保留的干燥方法,高达16.054 mg/g,S-NAD法也可得到较高的Arb含量(11.815 mg/g)。3种创新干燥方法的最佳预处理时间分别为S-NAD蒸制5 min、QB-NAD烫制和B-NAD煮制均为1 min。因此,干燥方法显著影响‘雀嘴茶’3种主效成分的保留含量,但3种主效成分含量高低顺序不受干燥方法的影响。为同时实现‘雀嘴茶’3种主效成分高保留,S-NAD是最适的干燥方法,且蒸制预处理5 min最佳。展开更多
基金supported by the National Natural Science Foundationof China(51275348)
文摘Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit （HOPCP）, since it is critical in multi-way data analysis. Unlike the convexification （nuclear norm） for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme： the augmented Lagrangian alternating direction method （ALADM） and its truncated higher-order singular value decomposition （ALADM-THOSVD） version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing.
文摘为建立一种适宜的板栗资源果实品质评价方法,本研究以25个板栗品种为研究对象,选取21项品质指标进行测定,通过主成分分析结合相关性分析、描述性统计分析的方法筛选影响板栗品质的核心评价指标,基于熵权法对核心指标赋予权重,并建立灰色关联度评价模型。结果表明,不同品种板栗多项指标存在显著差异(P<0.05),且多个指标间存在显著相关性,主成分分析确立了水分、直链淀粉与支链淀粉含量的比值(Ratio of amylose to amylopectin,AA)、总黄酮、好果率、果形指数、硬度、可溶性糖和还原糖为核心指标,熵权法计算核心指标的权重分别为14.08%、14.64%、15.64%、7.74%、9.41%、9.11%、18.90%、10.48%。灰色关联度分析结果表明,丹栗1号、丹东9113和qX-005综合品质列前三位。经聚类分析将25个品种板栗分为4类,第一类板栗适宜开发功能性饮品;第二类板栗适合取仁加工,制作罐头、果脯等产品,或加工成板栗粉用于面包、饼干等产品的制作;第三类板栗可作为优质的食品原料;第四类板栗适宜炒食,也适宜作为直售坚果。本研究结果为板栗优质资源筛选及品种的选育提供参考,也为各品种的综合利用提供了理论依据。
文摘为获得‘雀嘴茶’中乌金苷(6′-O-caffioylarbutin,CA)、绿原酸(3′-O-caffeoylquinic acid,CGA)和熊果苷(arbutin,Arb)3种主效成分高保留的干燥方法,该研究采用热风干燥(hot air drying,HAD)、真空冷冻干燥(freeze vacuum drying,FVD)、真空干燥(vacuum drying,VD)、日晒干燥(sun drying,SD)、微波干燥(microware drying,MD)、自然阴干(natural air drying,NAD)、煮制阴干(boiling and natural air drying,B-NAD)、蒸制阴干(steaming and natural air drying,S-NAD)和烫制阴干(quick-boiling and natural air drying,QB-NAD)9种干燥方法对樟叶越桔叶芽进行干燥处理,并利用HPLC建立3种主效成分含量分析方法。进一步设置6个不同预处理时间对创新方法S-NAD、QB-NAD和B-NAD进行了优化试验。结果显示,9种干燥方法获得的3种主效成分含量均表现出CA>CGA>Arb。S-NAD是CA和CGA含量最高保留的干燥方法,分别高达428.726 mg/g和13.213 mg/g,VD是Arb含量最高保留的干燥方法,高达16.054 mg/g,S-NAD法也可得到较高的Arb含量(11.815 mg/g)。3种创新干燥方法的最佳预处理时间分别为S-NAD蒸制5 min、QB-NAD烫制和B-NAD煮制均为1 min。因此,干燥方法显著影响‘雀嘴茶’3种主效成分的保留含量,但3种主效成分含量高低顺序不受干燥方法的影响。为同时实现‘雀嘴茶’3种主效成分高保留,S-NAD是最适的干燥方法,且蒸制预处理5 min最佳。
