130 citations · 275 across the 11 of their papers we have counts for
11 papers
A general quantum matrix exponential dimensionality reduction framework based on block-encoding
Yong-Mei Li, Hai-Ling Liu, Shi-Jie Pan +3
As a general framework, Matrix Exponential Dimensionality Reduction (MEDR) deals with the small-sample-size problem that appears in linear Dimensionality Reduction (DR) algorithms.…
Quantum Algorithm for Unsupervised Anomaly Detection
MingChao Guo, ShiJie Pan, WenMin Li +5
Anomaly detection, an important branch of machine learning, plays a critical role in fraud detection, health care, intrusion detection, military surveillance, etc. As one of the mo…
Quantum Algorithm for Anomaly Detection of Sequences
Ming-Chao Guo, Hai-Ling Liu, Shi-Jie Pan +5
Anomaly detection of sequences is a hot topic in data mining. Anomaly Detection using Piecewise Aggregate approximation in the Amplitude Domain (called ADPAAD) is one of the widely…
Quantum discriminative canonical correlation analysis
Yong-Mei Li, Hai-Ling Liu, Shi-Jie Pan +3
Discriminative Canonical Correlation Analysis (DCCA) is a powerful supervised feature extraction technique for two sets of multivariate data, which has wide applications in pattern…
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…
Quantum algorithm for logistic regression
Hai-Ling Liu, Chao-Hua Yu, Yu-Sen Wu +4
Logistic regression (LR) is an important machine learning model for classification, with wide applications in text classification, image analysis and medicine diagnosis, etc. Howev…
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…