Conventional principal component analysis(PCA) can obtain low-dimensional representations of original data space, but the selection of principal components(PCs) based on variance is subjective, which may lead to infor...Conventional principal component analysis(PCA) can obtain low-dimensional representations of original data space, but the selection of principal components(PCs) based on variance is subjective, which may lead to information loss and poor monitoring performance. To address dimension reduction and information preservation simultaneously, this paper proposes a novel PC selection scheme named full variable expression. On the basis of the proposed relevance of variables with each principal component, key principal components can be determined.All the key principal components serve as a low-dimensional representation of the entire original variables, preserving the information of original data space without information loss. A squared Mahalanobis distance, which is introduced as the monitoring statistic, is calculated directly in the key principal component space for fault detection. To test the modeling and monitoring performance of the proposed method, a numerical example and the Tennessee Eastman benchmark are used.展开更多
Tracking multiple maneuvering targets remains a challenge due to the existence of clutter and the disturbance of spurious targets. Traditional tracking algorithms treat target measurements as points which results in t...Tracking multiple maneuvering targets remains a challenge due to the existence of clutter and the disturbance of spurious targets. Traditional tracking algorithms treat target measurements as points which results in the loss of information. We have propose a Signature Driven multiple-target Tracking (SDT) method which uses target signature in spectral,spatial and temporary spaces as well as the Markov property of target motion,and the data association process in SDT is very effective. The experimental results have shown its outstanding performance.展开更多
We present a short and direct derivation of Hawking radiation as a tunneling process across the horizonand compute the tunneling probability.Considering the self-gravitation and energy conservation,we use the Keski-Va...We present a short and direct derivation of Hawking radiation as a tunneling process across the horizonand compute the tunneling probability.Considering the self-gravitation and energy conservation,we use the Keski-Vakkuri,Kraus,and Wilczek(KKW)analysis to compute the temperature and entropy of the black holes surrounded byquintessence and obtain the temperature and entropy are different from the Hawking temperature and the Bekenstein-Hawkingentropy.The result we get can offer a possible mechanism to deal with the information loss paradox becausethe spectrum is not purely thermal.展开更多
Using Damour-Ruffini method,we investigate Hawking radiation from NUT-Taub-like(NT-like) black hole.Considering the total energy conservation and the back reaction of the particle to the spacetime,we get the radiation...Using Damour-Ruffini method,we investigate Hawking radiation from NUT-Taub-like(NT-like) black hole.Considering the total energy conservation and the back reaction of the particle to the spacetime,we get the radiation spectrum on the black hole event horizon,which is related to the change of Bekenstein-Hawking entropy.Meanwhile,we find that the radiation is not exactly thermal,and can take out information from the black hole,which can be used to explain the information loss paradox.The result that we get satisfies the unitary theory of quantum mechanics and is consistent with the work finished before.展开更多
基金Supported by the National Natural Science Foundation of China(No.61374140)Shanghai Pujiang Program(Project No.12PJ1402200)
文摘Conventional principal component analysis(PCA) can obtain low-dimensional representations of original data space, but the selection of principal components(PCs) based on variance is subjective, which may lead to information loss and poor monitoring performance. To address dimension reduction and information preservation simultaneously, this paper proposes a novel PC selection scheme named full variable expression. On the basis of the proposed relevance of variables with each principal component, key principal components can be determined.All the key principal components serve as a low-dimensional representation of the entire original variables, preserving the information of original data space without information loss. A squared Mahalanobis distance, which is introduced as the monitoring statistic, is calculated directly in the key principal component space for fault detection. To test the modeling and monitoring performance of the proposed method, a numerical example and the Tennessee Eastman benchmark are used.
基金Supported by the National Natural Science Foundation of China (No. 60772154)the President Foundation of Graduate University of Chinese Academy of Sciences (No. 085102GN00)
文摘Tracking multiple maneuvering targets remains a challenge due to the existence of clutter and the disturbance of spurious targets. Traditional tracking algorithms treat target measurements as points which results in the loss of information. We have propose a Signature Driven multiple-target Tracking (SDT) method which uses target signature in spectral,spatial and temporary spaces as well as the Markov property of target motion,and the data association process in SDT is very effective. The experimental results have shown its outstanding performance.
基金Supported by the National Basic Research Programme of China under Grant No.2010CB832800the Natural Science Foundation of China under Grant No.10873004the Hunan Provincial Education Department Scientific Research Fund under Grant No.09C392
文摘We present a short and direct derivation of Hawking radiation as a tunneling process across the horizonand compute the tunneling probability.Considering the self-gravitation and energy conservation,we use the Keski-Vakkuri,Kraus,and Wilczek(KKW)analysis to compute the temperature and entropy of the black holes surrounded byquintessence and obtain the temperature and entropy are different from the Hawking temperature and the Bekenstein-Hawkingentropy.The result we get can offer a possible mechanism to deal with the information loss paradox becausethe spectrum is not purely thermal.
文摘Using Damour-Ruffini method,we investigate Hawking radiation from NUT-Taub-like(NT-like) black hole.Considering the total energy conservation and the back reaction of the particle to the spacetime,we get the radiation spectrum on the black hole event horizon,which is related to the change of Bekenstein-Hawking entropy.Meanwhile,we find that the radiation is not exactly thermal,and can take out information from the black hole,which can be used to explain the information loss paradox.The result that we get satisfies the unitary theory of quantum mechanics and is consistent with the work finished before.
