A link density clustering algorithm based on automatically selecting density peaks for overlapping community detection

Peer reviewedPostprin

Partitioning Clustering Based on Support Vector Ranking

Postprin

e-Distance Weighted Support Vector Regression

We propose a novel support vector regression approach called e-Distance Weighted Support Vector Regression (e-DWSVR).e-DWSVR specifically addresses two challenging issues in support vector regression: first, the process of noisy data; second, how to deal with the situation when the distribution of boundary data is different from that of the overall data. The proposed e-DWSVR optimizes the minimum margin and the mean of functional margin simultaneously to tackle these two issues. In addition, we use both dual coordinate descent (CD) and averaged stochastic gradient descent (ASGD) strategies to make e-DWSVR scalable to large scale problems. We report promising results obtained by e-DWSVR in comparison with existing methods on several benchmark datasets

Explosion gravitation field algorithm with dust sampling for unconstrained optimization

This research was funded by the National Natural Science Foundation of China (Nos. 61572227, 61772227, 61702214), the Development Project of Jilin Province of China (Nos 20170101006JC, 20180414012GH, 20170203002GX, 20190201293JC), Zhuhai Premier-Discipline Enhancement Scheme, China (Grant 2015YXXK02) and Guangdong Premier Key-Discipline Enhancement Scheme, China (Grant 2016GDYSZDXK036). This work was also supported by Jilin Provincial Key Laboratory of Big Date Intelligent Computing, China (No. 20180622002JC).Peer reviewedPostprin

Entanglement Entropy and Quantum Phase Transition in the O(N)O(N) σ\sigma-model

We investigate how entanglement entropy behaves in a system with a quantum phase transition. We study the $\sigma$-model which has an $O(N)$ symmetry when the mass squared parameter $\mu^2$ is positive, and when $\mu^2$ is negative, this symmetry is broken spontaneously. The area law and the leading divergence of entanglement entropy are preserved in both the symmetric and the broken phases. In 3+1 dimensions, the spontaneous symmetry breaking changes the subleading divergence from a log to log squared, while in 2+1 dimensions the subleading divergent structure is unchanged. At the leading order of the coupling constant expansion, the entanglement entropy reaches its local maximum with a cusp at the quantum phase transition point $\mu^2=0$ and decreases while $|\mu^2|$ is increased. We also find novel scaling behavior of the entanglement entropy near the transition point.Comment: 32 pp., 6 figures. v2. scaling behavior revised, 3 references added, submitted to JHE