Binrui Shen

This paper studies a unified framework for graph matching problems called the constrained gradient method. Popular algorithms within this framework include graduated assignment (GA), integer projected fixed-point method (IPFP), and doubly stochastic projected fixed-point method (DSPFP). These algorithms differ from the step size parameter and constrained operator. Our contributed adaptive step size parameter can guarantee the underlying algorithms' convergence and enhance their efficiency and accuracy. A preliminary analysis suggests that the optimal step size parameter has a high probability of being 1 in fully connected graph matching. Secondly, we propose a dynamic strategy for softassign, a popular constrained operator, to address its sensitivity concerning nodes' cardinality and risk of overflow. Combining the adaptive step size parameter and the dynamical softassign, we propose a novel graph matching algorithm: the softassign constrained gradient method. Various experiments demonstrate that it is significantly faster than other state-of-the-art algorithms based on the constrained gradient method with improved accuracy.

Fabricating experimental pictures in research work is a serious academic misconduct, which should better be detected in the reviewing process. However, due to large number of submissions, the detection whether a picture is fabricated or reused is laborious for reviewers, and sometimes is indistinct with human eyes. A tool for detecting similarity between images may help to alleviate this problem. Some methods based on local feature points matching work for most of the time, while these methods may result in mess of matchings due to ignorance of global relationship between features. We present a framework to detect similar, or perhaps fabricated, pictures with the graph matching techniques. A new iterative method is proposed, and experiments show that such a graph matching technique is better than the methods based only on local features for some cases.