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On the learning dynamics of two-layer quadratic neural networks for understanding deep learning

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Frontiers of Computer Science 2022年第3期16卷 77-82页

作者： Zhenghao tan Songcan CHEN College of Computer Science and Technology Nanjing University of Aeronautics and AstronauticsNanjing 211106China College of Computer Science and Technology Nanjing University of Aeronautics and AstronauticsMIIT Key Laboratory of Pattern Analysis and Machine IntelligenceNanjing 211106China

Deep learning performs as a powerful paradigm in many real-world applications;however,its mechanism remains much of a *** gain insights about nonlinear hierarchical deep networks,we theoretically describe the coupled nonlinear learning dynamic of the two-layer neural network with quadratic activations,extending existing results from the linear *** quadratic activation,although rarely used in practice,shares convexity with the widely used ReLU activation,thus producing similar *** this work,we focus on the case of a canonical regression problem under the standard normal distribution and use a coupled dynamical system to mimic the gradient descent method in the sense of a continuous-time limit,then use the high order moment tensor of the normal distribution to simplify these ordinary differential *** simplified system yields unexpected fixed *** existence of these non-global-optimal stable points leads to the existence of saddle points in the loss surface of the quadratic *** analysis shows there are conserved quantities during the training of the quadratic *** quantities might result in a failed learning process if the network is initialized ***,We illustrate the comparison between the numerical learning curves and the theoretical one,which reveals the two alternately appearing stages of the learning process.

关键词： learning dynamic quadratic network ordinary differential equations

Multi-Distributed Speech Emotion Recognition Based on Mel Frequency Cepstogram and Parameter Transfer

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Chinese Journal of Electronics 2022年第1期31卷 155-167页

作者： LIN Long tan Liang School of Computer Science Sichuan Normal University Institute of Computing Technology Chinese Academy of Sciences

Speech emotion recognition(SER) is the use of speech signals to estimate the state of emotion. At present, machine learning is one of the main research methods of SER, the test and training data S of traditional machine learning all have the same distribution and feature space, but the data of speech is accessed from different environments and devices, with different distribution characteristics in real life. Thus, the traditional machine learning method is applied to the poor performance of SER. This paper proposes a multi-distributed SER method based on Mel frequency cepstogram(MFCC) and parameter transfer. The method is based on single-layer long short-term memory(LSTM), pre-trained inceptionv3 network and multi-distribution corpus. The speech pre-processed MFCC is taken as the input of single-layer LSTM, and input to the pre-trained inception-v3 *** features are extracted through the pre-trained inception-v3 model. Then the features are sent to the newly defined the fully connected layer and classification layer,let the parameters of the fully connected layer be finetuned, finally get the classification result. The experiment proves that the method can effectively complete the classification of multi-distribution speech emotions and is more effective than the traditional machine learning framework of SER.

关键词： multidistribution corpus fully connected layer feature extraction speech signals machine learning method pre-trained inception-v3 model multidistributed speech emotion recognition pre-trained inception-v3 network feature space recurrent neural nets Mel frequency cepstogram parameter transfer single-layer LSTM speech pre-processed MFCC learning (artificial intelligence) speech recognition emotion recognition multidistributed SER method multidistribution speech emotions

Joint Channel Estimation and Power Allocation for the CRS-NOMA

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Chinese Journal of Electronics 2020年第1期29卷 177-182页

作者： tan Yizhi CHEN Baoren School of Information Engineering Guangdong University of Technology Power Dispatching Control Center China Southern Power Grid

We study the channel estimation and power allocation method for the Cooperative relaying system using Non-orthogonal multiple access(CRS-NOMA).Our object is maximizing the Average effective signal-tointerference-and-noise ratio(AESINR) of the weak user while guaranteeing bounded AESINR for the strong *** transform the nonconvex optimization problem into a Difference of convex(DC) programming and propose a Sequential parametric convex approximation(SPCA)based iterative algorithm to obtain a local optimum. For comparison, we consider a similar optimization problem for a Non-cooperative NOMA(NC-NOMA) *** results show that the AESINR performance of the CRS-NOMA outperforms signicantly that of the NCNOMA system.

关键词： Channel estimation Power allocation Cooperative relaying system(CRS) Non-orthogonal multiple access(NOMA)

Vapor treatment enables efficient and stable FAPbI_(3) perovskite solar cells

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Science China Chemistry 2021年第1期64卷 5-6页

作者： Hairen tan National Laboratory of Solid State Microstructures Jiangsu Key Laboratory of Artificial Functional MaterialsCollege of Engineering and Applied SciencesNanjing UniversityNanjing 210093China

Metal halide perovskite solar cells(PSCs)have attracted extensive research interest in recent years due to their lowcost processing,high power conversion efficiency(PCE),and tunable bandgap enabling tandem photovoltaics(PVs).Over the past decade,PSCs have witnessed an impressive increase in PCEs from 3.8%to 25.5%,which is the highest among thin-film PV technologies and is comparable to those of crystalline silicon solar cells[1].

关键词： perovskite enable crystalline

Enhanced plasmonic absorption of Pt cuboctahedra-WO_(3)nanohybrids used as visible light photocatalysts for overall water splitting

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Nano Research 2023年第4期16卷 5919-5928页

作者： Qiaoling Chen Yiwei tan State Key Laboratory of Materials-Oriented Chemical Engineering School of Chemistry and Chemical EngineeringNanjing Tech UniversityNanjing 211816China

Localized surface plasmon resonance(LSPR)effects of nanoscale plasmonic metals/semiconductor composites have been extensively applied into visible light ***,Pt nanoparticles(NPs)with the visible LSPR absorption maxima have rarely been used as a photosensitizer to facilitate photocatalytic reactions,especially the photocatalytic overall water splitting(POWS)reaction,presumably because they feature weak light ***,we present that the increased plasmonic absorption and local field enhancement can be achieved in the wide visible range by exploiting the simulated and experimental expressions of Pt nanocuboctahedra and Pt cuboctahedra-WO_(3)nanohybrids(Pt-WO3).First,monodisperse Pt cuboctahedra with different sizes,a hierarchical WO_(3)nanoarchitecture composed of radially patterned WO_(3)nanopillars,and Pt-WO_(3)were systematically ***,visible plasmonic Pt-WO_(3)photocatalysts were employed in the POWS tests and exhibited the significant activity enhancement in the visible light *** apparent quantum efficiency(AQE)of greater than 7%within the range of visible light has been achieved for the optimal Pt-WO3.

关键词： localized surface plasmon resonance plasmonic photocatalysis overall water splitting plasmonic Pt nanoparticles WO_(3)

Natural ventilation performance of single room building with fluctuating wind speed and thermal mass

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Journal of Central South University 2012年第3期19卷 733-739页

作者： tan Gang Department of Civil and Architectural Engineering University of Wyoming Laramie Wyoming USA

Natural ventilation is driven by either buoyancy forces or wind pressure forces or their combinations that inherit stochastic variation into ventilation rates. Since the ventilation rate is a nonlinear function of multiple variable factors including wind speed, wind direction, internal heat source and building structural thermal mass, the conventional methods for quantifying ventilation rate simply using dominant wind direction and average wind speed may not accurately describe the characteristic performance of natural ventilation. From a new point of view, the natural ventilation performance of a single room building under fluctuating wind speed condition using the Monte-Carlo simulation approach was investigated by incorporating building facade thermal mass effect. Given a same hourly turbulence intensity distribution, the wind speeds with 1 rain frequency fluctuations were generated using a stochastic model, the modified GARCH model. Comparisons of natural ventilation profiles, effective ventilation rates, and air conditioning electricity use for a three-month period show statistically significant differences （for 80% confidence interval） between the new calculations and the traditional methods based on hourly average wind speed.

关键词： natural ventilation fluctuating wind speed thermal mass GARCH model

SELF-ORGANIZING ASSEMBLY MODELING BASED ON RELATIONAL CONSTRAINTS

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Chinese Journal of Mechanical Engineering 2000年第2期13卷 145-152页

作者： tan Jianrong 浙江大学计算机辅助设计与图形学国家重点实验室浙江杭州抚顺石油学院辽宁抚顺

On the research of assembly modeling of mechanical products,current CAD systems can only support the design Process of component-to-assembly. It is difficult to realize the design process of assembly-to -*** theory of self-organizing assembly modeling based on relational constraints is proposed, which implements the product design of assembly-to-component commencing with conceptual design and supporting abstract design and step-nice refinement design.

关键词： Assembly modeling Assembly constraint Self-organizing assembly

Design of Perfect Reconstruction Cosine Modulated Filter Bank with Linear Phase

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Journal of Systems Engineering and Electronics 1998年第1期9卷 24-30页

作者： tan, Ying Univ of Science and Technology of China Hefei China

We propose the quadratic constrained formulas for the design of linear phase cosine modulated paraunitary filter banks given in references . Using these formulae, we can, directly, optimize the prototype filter coeff... 详细信息

关键词： Quadratic constrained formula Linear phase Perfect reconstruction Cosine modulated FB.

On mapping degrees between 1-connected 5-manifolds

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Science China Mathematics 2006年第12期49卷 1855-1863页

作者： tan Liang LMAM Department of MathematicsPeking UniversityBeijing 100871China

We study the set of the mapping degrees between simply connected closed manifolds in this paper.

关键词： mapping degree simply connected manifolds Moore space Eilenberg-Maclane space.