Quantum Relief Algorithm

التفاصيل البيبلوغرافية
العنوان: Quantum Relief Algorithm
المؤلفون: Liu, Wen-Jie, Gao, Pei-Pei, Yu, Wen-Bin, Qu, Zhi-Guo, Yang, Ching-Nung
المصدر: Quantum Information Processing,2018, 17(10): 280
سنة النشر: 2020
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Relief algorithm is a feature selection algorithm used in binary classification proposed by Kira and Rendell, and its computational complexity remarkable increases with both the scale of samples and the number of features. In order to reduce the complexity, a quantum feature selection algorithm based on Relief algorithm, also called quantum Relief algorithm, is proposed. In the algorithm, all features of each sample are superposed by a certain quantum state through the \emph{CMP} and \emph{rotation} operations, then the \emph{swap test} and measurement are applied on this state to get the similarity between two samples. After that, \emph{Near-hit} and \emph{Near-miss} are obtained by calculating the maximal similarity, and further applied to update the feature weight vector $WT$ to get $WT'$ that determine the relevant features with the threshold $\tau$. In order to verify our algorithm, a simulation experiment based on IBM Q with a simple example is performed. Efficiency analysis shows the computational complexity of our proposed algorithm is \emph{O(M)}, while the complexity of the original Relief algorithm is \emph{O(NM)}, where $N$ is the number of features for each sample, and $M$ is the size of the sample set. Obviously, our quantum Relief algorithm has superior acceleration than the classical one.
Comment: 15 pges, 6 gigures
نوع الوثيقة: Working Paper
DOI: 10.1007/s11128-018-2048-x
URL الوصول: http://arxiv.org/abs/2002.00184
رقم الأكسشن: edsarx.2002.00184
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s11128-018-2048-x