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UV -theory of a Class of Semidefinite Programming and Its Applications

Acta Mathematicae Applicatae Sinica 2021年第4期37卷 717-737页

作者： Ming HUANG Jin-long YUAN Li-ping PANG Zun-quan XIA School of Science Dalian Maritime UniversityDalian116026China School of Mathematical Science Dalian University of TechnologyDalian116023China

In this paper we study optimization problems involving convex nonlinear semidefinite programming(CSDP).Here we convert CSDP into eigenvalue problem by exact penalty function,and apply the U-Lagrangian theory to the function of the largest eigenvalues,with matrix-convex valued *** give the first-and second-order derivatives of U-Lagrangian in the space of decision variables Rm when transversality condition ***,an algorithm frame with superlinear convergence is ***,we give one application:bilinear matrix inequality(BMI)optimization;meanwhile,list their UV decomposition results.

关键词： semidefinite programming nonsmooth optimization eigenvalue optimization UV-decomposition,u-Lagrangian smooth manifold second-order derivative

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A Modified Multiple Matching Method Based on Equipoise Pseudomulti-Channel Filter and Huber Nor

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Communications in Computational Physics 2020年第6期28卷 498-517页

作者： Yinting Wu J.T.Wu School of Geological and Surveying&Mapping Engineering Chang’an UniversityXi’an 710064P.R.China School of CML Engineering&Architecture Ningbo Institute of TechnologyZhejiang UniversityNingbo 315100P.R.China

This study is aimed at improving multiple adaptive *** propose a modified pseudomulti-channel matching method based on the Huber norm,to adjust the matching differences on frequency and phase between the predicted multi-ples and original *** second-order derivative of the predicted multiples is utilized to replace the derivative of its Hilbert *** to the additional frequency term,this method can enhance the high-frequency *** introduce 180◦phase rotation of the multiple channels,which can decrease phase *** Huber norm interpolates between smooth L2 norm treatment of small residuals and robust L1 norm treatment of large *** method can eliminate the restriction of large value conditions from the L2 norm and weaken the condition of orthogonality from the L1 *** applications of the Pluto and Delft models shows that compared with pseudomulti-channel matching filter,the main frequency is increased from 36 Hz to 38 Hz,and the primary reflection wave is more *** practical application of field data verifies the effectiveness of the proposed method.

关键词： Multiple adaptive matching filter equipoise pseudomulti-channel Huber norm second-order derivative

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A BLIND AUDIO STEGANALYSIS BASED ON FEATURE FUSION

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Journal of Electronics(China) 2011年第3期28卷 265-276页

作者： Wei Yifang Guo Li Wang Yujie Wang Cuiping Department of Electronic Science and Technology University of Science and Technology of China Hefei 230027 China

In this paper, we present a blind steganalysis based on feature fusion. Features based on Short Time Fourier Transform (STFT), which consists of second-order derivative spectrum features of audio and Mel-frequency cepstrum coefficients, audio quality metrics and features on linear prediction residue are extracted separately. Then feature fusion is conducted. The performance of the proposed steganalysis is evaluated against 4 steganographic schemes: Direct Sequence Spread Spectrum (DSSS), Quantization Index Modulation (QIM), ECHO embedding (ECHO), and Least Significant Bit em-bedding (LSB). Experiment results show that the classifying performance of the proposed detector is much superior to the previous work. Even more exciting is that the proposed methodology could detect the four steganography, with 85%+ classification accuracy achieved in all the detections, which makes the proposed steganalysis methodology capable of being regarded as a blind steganalysis, and especially useful when the steganalyzer are without the knowledge of the steganographic scheme employed in data embedding.

关键词： Feature fusion Steganalysis Mel-cepstrum second-order derivative Audio quality metrics Linear prediction

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