【摘 要】
：
Partial least squares(PLS)regression is an important linear regression method that efficiently addresses the multiple correlation problem by combining principal component analysis and multiple regression.In this paper,we present a quan-tum partial least s
【机 构】
：
School of Artificial Intelligence,Beijing University of Post and Telecommunications,Beijing 100876,C
论文部分内容阅读
Partial least squares(PLS)regression is an important linear regression method that efficiently addresses the multiple correlation problem by combining principal component analysis and multiple regression.In this paper,we present a quan-tum partial least squares(QPLS)regression algorithm.To solve the high time complexity of the PLS regression,we design a quantum eigenvector search method to speed up principal components and regression parameters construction.Mean-while,we give a density matrix product method to avoid multiple access to quantum random access memory(QRAM)during building residual matrices.The time and space complexities of the QPLS regression are logarithmic in the indepen-dent variable dimension n,the dependent variable dimension w,and the number of variables m.This algorithm achieves exponential speed-ups over the PLS regression on n,m,and w.In addition,the QPLS regression inspires us to explore more potential quantum machine learning applications in future works.
其他文献
为提升渔用中草药应用效果,本研究控制中草药发酵过程中的含水量、接菌量、发酵时间和发酵温度,采用单因素试验和4因素3水平的正交试验对发酵工艺进行优化,以蒽酮-硫酸法测定中草药发酵后的多糖含量,最终确定该中草药的最佳发酵工艺为含水量50％,接菌量4％,发酵温度33℃,发酵时间72 h.本研究可为渔用中草药的发酵应用提供参考.
Gallium nitride(GaN)thin film of the nitrogen polarity(N-polar)was grown on C-plane sapphire and misoriented C-plane sapphire substrates respectively by metal-organic chemical vapor deposition(MOCVD).The misorientation angle is off-axis from C-plane towar
以加州鲈为试验对象,研究不同的投喂时间对其生长的影响.试验选用800尾规格约为16.0 g/尾的加州鲈,随机分为两组:对照组和试验组,每组400尾,每个组别分两个平行,每个平行200尾.对照组和试验组的加州鲈每天均饲喂3次鲈鱼饲料,对照组的饲喂时间为上午7:30、上午11:30、下午4:30;试验组的饲喂时间为上午5:30、上午11:30和下午6:30,投喂量为加州鲈停止摄食为止.预试验3 d,正式试验60 d.试验过程每隔10 d随机选取20尾加州鲈进行体重称量并记录,同时也记录其摄食总量.结果显示,试
The appearance of rumors intensifies people\'s panic and affects social stability.How to control the spread of rumors has become an important issue which is worth studying.In order to more accurately reflect the actual situation in the real world,a stoc
Teleportation is a quantum information process without classical counterparts,in which the sender can disembodiedly transfer unknown quantum states to the receiver.In probabilistic teleportation through a partial entangled quantum channel,the transmission
以草鱼为研究对象,通过降低草鱼基本日粮里的蛋白质水平,提高脂肪水平,研究日粮对草鱼肌肉营养成分的影响.选取健康度和规格一致的草鱼360尾,随机分成两组:对照组和试验组.每组180尾,分3个水平,每个水平60尾.对照组饲喂基础日粮,试验组饲喂高脂肪水平的日粮,预试验5 d,正式试验56 d.试验结束后对草鱼的肌肉营养成分进行测定.结果显示,验组的草鱼肌肉的水分、粗蛋白、粗灰分和对照组的相比无显著差异(P>0.05);试验组的粗脂肪水平显著高于对照组(P<0.05);以上结果说明在草鱼的基础日粮中降低蛋白质水
Expectation values of single electron and interelectronic geometric quantities such as,,,,andare calculated for doubly excited 2pnp 1Pe(3≤n≤5),2pnp3Pe(2≤n≤5)and 2pnd1,3D°(3≤n≤5)states of helium using Hylleraas-B-spline basis set.The energy levels converge
Using a single-mode approximation,we carry out the entanglement measures,e.g.,the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame,but only uniform acceleration is consid-ered for simplicity.In
在鲤鱼饵料分别添加鱼油、豆油、菜籽油配置成等能等氮的饵料,探讨不同脂肪源对其机体抗氧化功能的影响.结果表明,鲤鱼饵料中分别使用鱼油、豆油、菜籽油对鲤鱼血清中的超氧化物歧化酶和过氧化氢酶活性未产生显著的影响(P>0.05).鱼油组总抗氧化能力和谷胱甘肽过氧化物酶活性显著高于菜籽油组(P0.05);鱼油组丙二醛含量显著低于豆油组和菜籽油组(P<0.05),豆油组丙二醛含量显著低于菜籽油组(P<0.05).在鲤鱼饵料中使用鱼油对其机体血清的抗氧化功能效果较好,鱼油优于豆油,豆油优于菜籽油.
We propose three alternative measures for non-Gaussianity of quantum states:sine distance,Bures angle,and Bures distance,which are based on quantum fidelity introduced by Wang[Phys.Lett.A 373 58(2008)].Using them,we evaluate the non-Gaussianity of some re