Numerical Random Periodic Shadowing Orbits of a Class of Stochastic Differential Equations

This paper is devoted to the existence of a true random periodic solution near the numerical approximate one for a kind of stochastic differential equations. A general finite-time random periodic shadowing theorem is proposed for the random dynamical systems generated by some stochastic differential equations under appropriate conditions and an estimate of shadowing distance via computable quantities is given. Application is demonstrated in the numerical simulations of random periodic orbits of the stochastic Lorenz system for certain given parameters

SiamVGG: Visual Tracking using Deeper Siamese Networks

Recently, we have seen a rapid development of Deep Neural Network (DNN) based visual tracking solutions. Some trackers combine the DNN-based solutions with Discriminative Correlation Filters (DCF) to extract semantic features and successfully deliver the state-of-the-art tracking accuracy. However, these solutions are highly compute-intensive, which require long processing time, resulting unsecured real-time performance. To deliver both high accuracy and reliable real-time performance, we propose a novel tracker called SiamVGG. It combines a Convolutional Neural Network (CNN) backbone and a cross-correlation operator, and takes advantage of the features from exemplary images for more accurate object tracking. The architecture of SiamVGG is customized from VGG-16, with the parameters shared by both exemplary images and desired input video frames. We demonstrate the proposed SiamVGG on OTB-2013/50/100 and VOT 2015/2016/2017 datasets with the state-of-the-art accuracy while maintaining a decent real-time performance of 50 FPS running on a GTX 1080Ti. Our design can achieve 2% higher Expected Average Overlap (EAO) compared to the ECO and C-COT in VOT2017 Challenge

1949ネン イゴ ノ チュウゴク ノウソン ニ オケル ゲンダイ キョウイク ノ ハッテン カホクショウ ショウレイケン コウカエイソン ヲ ジレイ ト シテ

大阪大學中國文化論壇 討論文件Discussion Papers in Contemporary China Studies, Osaka University Forum on China概要:中国語田中, 洋子 :

Joint measurement of multiple noncommuting parameters

Although quantum metrology allows us to make precision measurements beyond the standard quantum limit, it mostly works on the measurement of only one observable due to the Heisenberg uncertainty relation on the measurement precision of noncommuting observables for one system. In this paper, we study the schemes of joint measurement of multiple observables which do not commute with each other using the quantum entanglement between two systems. We focus on analyzing the performance of a SU(1,1) nonlinear interferometer on fulfilling the task of joint measurement. The results show that the information encoded in multiple noncommuting observables on an optical field can be simultaneously measured with a signal-to-noise ratio higher than the standard quantum limit, and the ultimate limit of each observable is still the Heisenberg limit. Moreover, we find a resource conservation rule for the joint measurement

An Empirical Examination of IPO Underpricing in Hong Kong and Singapore

The objective of this thesis is to investigate the main determinants of IPO underpricing for firms listed in Hong Kong and Singapore from 2004 to 2008. Data collected from the Datastream and Reuters, together with the information disclosure in both stock exchanges is used to examine the significance of different variables in order to explain the IPO underpricing level. We find that operating margin, financial leverage, firm size, IPO offer size and overallotment option exercised, to some extent, influence the IPO underpricing for both markets. Based on the regressions, we could conclude that the difference between the levels of IPO underpricing in Hong Kong and Singapore can be explained by the financial leverage and firm size. Firm size is the primary determinant as compared to financial leverage

Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle

In this work we construct a stochastic contact variational integrator and its discrete version via stochastic Herglotz variational principle for stochastic contact Hamiltonian systems. A general structure-preserving stochastic contact method is devised, and the stochastic contact variational integrators are established. The implementation of this approach is validated by the numerical experiments.Comment: 24 pages,15 figure