光学乐谱识别(optical music recognition,OMR)是将纸质的音乐乐谱转化为计算机可以读取的格式。其中音乐符号分类是乐谱识别的重要一个步骤。本文并提出了一种基于DAG-LDM的手写音乐符号分类方法,该方法利用DAG有向无环图结构将二类分...光学乐谱识别(optical music recognition,OMR)是将纸质的音乐乐谱转化为计算机可以读取的格式。其中音乐符号分类是乐谱识别的重要一个步骤。本文并提出了一种基于DAG-LDM的手写音乐符号分类方法,该方法利用DAG有向无环图结构将二类分类器LDM拓展到多类,对于N类音乐符号,需要训练N(N-1)/2个分类器,并依照音乐符号的特征合理排序,防止DAG结构的错误累积效应,用这种DAG结构解决多类分类问题效率高,速度快。在分类器方面,相比支持向量机(support vector machine,SVM)只优化了最小间隔,DAG-LDM还优化了间隔的分布,这更符合音乐符号的样本分布特性,并且具有较强的抗噪性能。本文将这种新DAG_LDM音乐符号分类算法与几种主流的方法进行对比测试,测试结果显示本文提出的新算法对手写音乐符号分类具有更高的分类准确率。且本文提出的算法不仅仅适用于音乐符号识别,还可以用于其他的多类分类问题中。展开更多
The fluctuation and relative fluctuation of entanglement entropy of a bipartite system for Dirac fields in noninertial frames are investigated. It is shown that the fluctuation and relative fluctuation of entanglement...The fluctuation and relative fluctuation of entanglement entropy of a bipartite system for Dirac fields in noninertial frames are investigated. It is shown that the fluctuation and relative fluctuation of entanglement entropy are observer-dependent, which depend on their observed frames. It is found that both the fluctuation and relative fluctuation of entanglement entropy become more noticeable with the increasing of the subsystem's acceleration. We also find that the entanglement entropy always has fluctuation regardless of the initial state parameter and for any magnitude of the acceleration. We argue that the statistical mean for the measurement of entanglement entropy relates to the accelerated motion of the observer.展开更多
文摘光学乐谱识别(optical music recognition,OMR)是将纸质的音乐乐谱转化为计算机可以读取的格式。其中音乐符号分类是乐谱识别的重要一个步骤。本文并提出了一种基于DAG-LDM的手写音乐符号分类方法,该方法利用DAG有向无环图结构将二类分类器LDM拓展到多类,对于N类音乐符号,需要训练N(N-1)/2个分类器,并依照音乐符号的特征合理排序,防止DAG结构的错误累积效应,用这种DAG结构解决多类分类问题效率高,速度快。在分类器方面,相比支持向量机(support vector machine,SVM)只优化了最小间隔,DAG-LDM还优化了间隔的分布,这更符合音乐符号的样本分布特性,并且具有较强的抗噪性能。本文将这种新DAG_LDM音乐符号分类算法与几种主流的方法进行对比测试,测试结果显示本文提出的新算法对手写音乐符号分类具有更高的分类准确率。且本文提出的算法不仅仅适用于音乐符号识别,还可以用于其他的多类分类问题中。
基金Supported by the National Natural Science Foundation of China under Grant No.11305058the Doctoral Scientific Fund Project of the Ministry of Education of China under Grant No.20134306120003
文摘The fluctuation and relative fluctuation of entanglement entropy of a bipartite system for Dirac fields in noninertial frames are investigated. It is shown that the fluctuation and relative fluctuation of entanglement entropy are observer-dependent, which depend on their observed frames. It is found that both the fluctuation and relative fluctuation of entanglement entropy become more noticeable with the increasing of the subsystem's acceleration. We also find that the entanglement entropy always has fluctuation regardless of the initial state parameter and for any magnitude of the acceleration. We argue that the statistical mean for the measurement of entanglement entropy relates to the accelerated motion of the observer.
