130 citations · 270 across the 10 of their papers we have counts for
10 papers
Quantum-assisted anomaly detection with multivariate Gaussian distribution
Chao-Hua Yu, Hong-Miao Rao, Ying-Pei Wu +3
Anomaly detection with multivariate Gaussian distribution, which we refer to as Gassian anomaly detection (GAD), is a prominent task in data mining and machine learning. The core t…
Non-Markovian Dynamics of Time-Fractional Open Quantum Systems
Dongmei Wei, Hailing Liu, Yongmei Li +3
Applications of Time-Fractional Schrodinger Equations (TFSEs) to quantum processes are instructive for understanding and describing the time behavior of real physical systems. By a…
Quantum algorithm for Markov Random Fields structure learning by information theoretic properties
Liming Zhao, Lin-chun Wan, Ming-Xing Luo
Probabilistic graphical models play a crucial role in machine learning and have wide applications in various fields. One pivotal subset is undirected graphical models, also known a…
Quantum mean centering for block-encoding-based quantum algorithm
Hai-Ling Liu, Chao-Hua Yu, Lin-Chun Wan +3
Mean Centering (MC) is an important data preprocessing technique, which has a wide range of applications in data mining, machine learning, and multivariate statistical analysis. Wh…
A quantum algorithm for solving eigenproblem of the Laplacian matrix of a fully connected weighted graph
Hai-Ling Liu, Su-Juan Qin, Lin-Chun Wan +4
Solving eigenproblem of the Laplacian matrix of a fully connected weighted graph has wide applications in data science, machine learning, and image processing, etc. However, this i…
Quantum algorithm for Neighborhood Preserving Embedding
Shi-Jie Pan, Lin-Chun Wan, Hai-Ling Liu +4
Neighborhood Preserving Embedding (NPE) is an important linear dimensionality reduction technique that aims at preserving the local manifold structure. NPE contains three steps, i.…
Variational Quantum algorithm for Poisson equation
Hailing Liu, Yusen Wu, Linchun Wan +4
The Poisson equation has wide applications in many areas of science and engineering. Although there are some quantum algorithms that can efficiently solve the Poisson equation, the…
Improved quantum algorithm for A-optimal projection
Shi-Jie Pan, Lin-Chun Wan, Hai-Ling Liu +4
Dimensionality reduction (DR) algorithms, which reduce the dimensionality of a given data set while preserving the information of the original data set as well as possible, play an…
Block-encoding based quantum algorithm for linear systems with displacement structures
Lin-Chun Wan, Chao-Hua Yu, Shi-Jie Pan +3
Matrices with the displacement structures of circulant, Toeplitz, and Hankel types as well as matrices with structures generalizing these types are omnipresent in computations of s…
Asymptotic Quantum Algorithm for the Toeplitz Systems
Lin-Chun Wan, Chao-Hua Yu, Shi-Jie Pan +3
Solving the Toeplitz systems, which is to find the vector such that given an Toeplitz matrix and a vector , has a variety of applications in mat…