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Existence and Multiplicity Results for a Degenerate Elliptic Equation

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Acta Mathematica Sinica,English Series 2006年第3期22卷 665-670页

作者： Wei DONG jian tao CHEN Hebei University of Engineering

The goal of this paper is to study the multiplicity result of positive solutions of a class of degenerate elliptic equations. On the basis of the mountain pass theorems and the sub- and supersolutions argument for p-Laplacian operators, under suitable conditions on the nonlinearity f（x, s）, we show the following problem：-△pu=λu^α-a（x）u^q in Ω,u│δΩ=0 possesses at least two positive solutions for large λ, where Ω is a bounded open subset of R^N, N ≥ 2, with C^2 boundary, λ is a positive parameter, Ap is the p-Laplacian operator with p 〉 1, α, q are given constants such that p - 1 〈α 〈 q, and a（x） is a continuous positive function in Ω^-.

关键词： degenerate elliptic equation mountain pass theorem maximal positive solution

Strategies and Methods for Cloud Migration

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International Journal of Automation and computing 2014年第2期11卷 143-152页

作者： Jun-Feng Zhao jian-tao Zhou College of Computer Science Inner Mongolia University

Legacy system migration to the cloud brings both great challenges and benefits, so there exist various academic research and industrial applications on legacy system migration to the cloud. By analyzing the research achievements and application status,we divide the existing migration methods into three strategies according to the cloud service models integrally. Different processes need to be considered for different migration strategies, and different tasks will be involved accordingly. The similarities and differences between the migration strategies are discussed, and the challenges and future work about legacy system migration to the cloud are proposed. The aim of this paper is to provide an overall presentation for legacy system migration to the cloud and identify important challenges and future research directions.

关键词： Migration legacy system cloud infrastructure as a service(IaaS) platform as a service(PaaS) software as a service(SaaS).

Linking Structural Equation Modeling with Bayesian Network and Its Application to Coastal Phytoplankton Dynamics in the Bohai Bay

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China Ocean Engineering 2016年第5期30卷 733-748页

作者： XU Xiao-fu SUN jian NIE Hong-tao YUAN De-kui tao jian-hua Tianjin Bohai Sea Fisheries Research Institute Tianjin 300457 China Department of Hydraulic Engineering Tsinghua University Beijing 100084 China School of Marine Science and Technology Tianjin University Tianjin 300072 China Department of Mechanics Tianjin University Tianjin 300072 China

Bayesian networks （BN） have many advantages over other methods in ecological modeling, and have become an increasingly popular modeling tool. However, BN are flawed in regard to building models based on inadequate existing knowledge. To overcome this limitation, we propose a new method that links BN with structural equation modeling （SEM）. In this method, SEM is used to improve the model structure for BN. This method was used to simulate coastal phytoplankton dynamics in the Bohai Bay. We demonstrate that this hybrid approach minimizes the need for expert elicitation, generates more reasonable structures for BN models, and increases the BN model＇s accuracy and reliability. These results suggest that the inclusion of SEM for testing and verifying the theoretical structure during the initial construction stage improves the effectiveness of BN models, especially for complex eco-environment systems. The results also demonstrate that in the Bohai Bay, while phytoplankton biomass has the greatest influence on phytoplankton dynamics, the impact of nutrients on phytoplankton dynamics is larger than the influence of the physical environment in summer. Furthermore, although the Redfield ratio indicates that phosphorus should be the primary nutrient limiting factor, our results show that silicate plays the most important role in regulating phytoplankton dynamics in the Bohai Bay.

关键词： structural equation modeling Bayesian networks ecological modeling Bohai Bay phytoplankton dynamics

An efficient equivariant adaptive separation via independence algorithm for acoustical source separation and identification

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Science China(Technological Sciences) 2016年第12期59卷 1825-1836页

作者： CHENG Wei LU jian tao GAO Lin ZHANG Jie State Key Laboratory for Manufacturing Systems Engmeermg Xi'an Jiaotong UniversityXi'an 710049China Institute of Biomedical Engineering Key Laboratory of Biomedical Information Engineering of Education MinistryXi'an Jiaotong UniversityXi'an 710049China

To balance the convergence rate and steadystate error of blind source separation(BSS) algorithms, an efficient equivariant adaptive separation via independence(Efficient EASI) algorithm is proposed based on separating indicator, which was derived from the convergence condition of EASI, and can be used to evaluate the separation degree of separated signals. Furthermore, a nonlinear monotone increasing function between suitable step sizes and separating indicator is constructed to adaptively adjust step sizes, and forgetting factor is employed to weaken effects of data at the initial stage. Numerical case studies and experimental studies on a test bed with shell structures are provided to validate the efficiency improvement of the proposed method. This study can benefit for vibration & acoustic monitoring and control, and machinery condition monitoring and fault diagnosis.

关键词： equivariant adaptive separation via independence adaptive step size separation indicator forgetting factor acoustical source separation and identification

Method for denoising and reconstructing radar HRRP using modified sparse auto-encoder

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Chinese Journal of Aeronautics 2020年第3期33卷 1026-1036页

作者： Chen GUO Haipeng WANG tao jian Congan XU Shun SUN Information Fusion Institution Naval Aviation UniversityYantai 264001China

A high resolution range profile(HRRP) is a summation vector of the sub-echoes of the target scattering points acquired by a wide-band ***, HRRPs obtained in a noncooperative complex electromagnetic environment are contaminated by strong *** pre-processing of the HRRP data can greatly improve the accuracy of target *** this paper, a denoising and reconstruction method for HRRP is proposed based on a Modified Sparse Auto-Encoder, which is a representative non-linear *** better reconstruct the HRRP, a sparse constraint is added to the proposed model and the sparse coefficient is calculated based on the intrinsic dimension of *** denoising of the HRRP is performed by adding random noise to the input HRRP data during the training process and fine-tuning the weight matrix through singular-value *** results of simulations showed that the proposed method can both reconstruct the signal with fidelity and suppress noise effectively, significantly outperforming other methods, especially in low Signal-to-Noise Ratio conditions.

关键词： High resolution range profile Intrinsic dimension Modified sparse autoencoder Signal denoise Signal sparse reconstruction

Expression Analysis Based on Face Regions in Real-world Conditions

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International Journal of Automation and computing 2020年第1期17卷 96-107页

作者： Zheng Lian Ya Li jian-Hua tao jian Huang Ming-Yue Niu National Laboratory of Pattern Recognition Institute of AutomationChinese Academy of Sciences(CAS)Beijing 100190China School of Artificial Intelligence University of Chinese Academy of SciencesBeijing 100190China CAS Center for Excellence in Brain Science and Intelligence Technology Institute of AutomationChinese Academy of SciencesBeijing 100190China

Facial emotion recognition is an essential and important aspect of the field of human-machine *** research on facial emotion recognition focuses on the laboratory ***,it faces many challenges in real-world conditions,i.e.,illumination changes,large pose variations and partial or full *** challenges lead to different face areas with different degrees of sharpness and *** by this fact,we focus on the authenticity of predictions generated by different*** example,if only the mouth areas are available and the emotion classifier predicts happiness,then there is a question of how to judge the authenticity of *** problem can be converted into the contribution of different face areas to different *** this paper,we divide the whole face into six areas:nose areas,mouth areas,eyes areas,nose to mouth areas,nose to eyes areas and mouth to eyes *** obtain more convincing results,our experiments are conducted on three different databases:facial expression recognition+(FER+),real-world affective faces database(RAF-DB)and expression in-the-wild(ExpW)*** analysis of the classification accuracy,the confusion matrix and the class activation map(CAM),we can establish convincing *** sum up,the contributions of this paper lie in two areas:1)We visualize concerned areas of human faces in emotion recognition;2)We analyze the contribution of different face areas to different emotions in real-world conditions through experimental *** findings can be combined with findings in psychology to promote the understanding of emotional expressions.

关键词： Facial emotion analysis face areas class activation map confusion matrix concerned area

Data fusion methods in multimodal human computer dialog

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Virtual Reality & Intelligent Hardware 2019年第1期1卷 21-38页

作者： Ming-Hao YANG jian-Hua tao National Laboratory of Pattern Recognition Institute of Automation Chinese Academy of SciencesBeijing 100190China The Center for Excellence in Brain Science and Intelligent Technology of Chinese Academy of Sciences Beijing 100190China University of Chinese Academy of Sciences Beijing 100049China

In multimodal human computer dialog,non-verbal channels,such as facial expression,posture,gesture,etc,combined with spoken information,are also important in the procedure of ***,in spite of high performance of users*single channel behavior computing,it is still great challenge to understand users1 intention accurately from their multimodal *** reason for this challenge is that we still need to improve multimodal information fusion in theories,methodologies and practical *** paper presents a review of data fusion methods in multimodal human computer *** first introduce the cognitive assumption of single channel processing,and then discuss its implementation methods in human computer dialog;for the task of multi-modal information fusion,serval computing models are presented after we introduce the principle description of multiple data ***,some practical examples of multimodal information fusion methods are introduced and the possible and important breakthroughs of the data fusion methods in future multimodal human-computer interaction applications are discussed.

关键词： Intention understanding Multimodal human computer dialog

An environmentally benign benzylic oxidation catalyzed by hypervalent iodine intermediate in water

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Chinese Chemical Letters 2012年第8期23卷 891-894页

作者： Yuan Xu jian tao Hu Jie Yan College of Chemical Engineering and Materials Science Zhejiang University of TechnologyHangzhou 310032China

An effective and environmentally benign benzylic oxidation for transition of alkylarenes into the corresponding carbonyl compounds was reported. Alkylarenes were mixed and stirred with potassium bromide, m-chloroperbenzoic acid and a catalytic amount of iodobenzene in water at 60 ℃ for several hours, a series of the corresponding carbonyl compounds was obtained in moderate to good yields. In the reaction, iodobenzene was first oxidized by m-chloroperbenzoic acid into the hypervalent iodine intermediate which then reacted with potassium bromide to form the key radical initiator for the benzylic oxidation.

关键词： Benzylic oxidation Hypervalent iodine intermediate Catalytic reaction Synthesis

Semi-supervised Ladder Networks for Speech Emotion Recognition

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International Journal of Automation and computing 2019年第4期16卷 437-448页

作者： jian-Hua tao jian Huang Ya Li Zheng Lian Ming-Yue Niu National Laboratory of Pattern Recognition Beijing 100190 China School of Artificial Intelligence University of Chinese Academy of Science (CAS) Beijing 100190 China CAS Center for Excellence in Brain Science and Intelligence Technology Institute of Automation Chinese Academy of Sciences Beijing 100190 China

As a major component of speech signal processing, speech emotion recognition has become increasingly essential to understanding human communication. Benefitting from deep learning, many researchers have proposed various unsupervised models to extract effective emotional features and supervised models to train emotion recognition systems. In this paper, we utilize semi-supervised ladder networks for speech emotion recognition. The model is trained by minimizing the supervised loss and auxiliary unsupervised cost function. The addition of the unsupervised auxiliary task provides powerful discriminative representations of the input features, and is also regarded as the regularization of the emotional supervised task. We also compare the ladder network with other classical autoencoder structures. The experiments were conducted on the interactive emotional dyadic motion capture (IEMOCAP) database, and the results reveal that the proposed methods achieve superior performance with a small number of labelled data and achieves better performance than other methods.

关键词： Speech emotion recognition the ladder network semi-supervised learning autoencoder regularization