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学者姓名:彭济根

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Shaping the collision selectivity in a looming sensitive neuron model with parallel ON and OFF pathways and spike frequency adaptation EI SCIE PubMed Scopus
期刊论文 | 2018 , 106 , 127-143 | NEURAL NETWORKS
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Abstract :

Shaping the collision selectivity in vision-based artificial collision-detecting systems is still an open challenge. This paper presents a novel neuron model of a locust looming detector, i.e. the lobula giant movement detector (LGMD1), in order to provide effective solutions to enhance the collision selectivity of looming objects over other visual challenges. We propose an approach to model the biologically plausible mechanisms of ON and OFF pathways and a biophysical mechanism of spike frequency adaptation (SFA) in the proposed LGMD1 visual neural network. The ON and OFF pathways can separate both dark and light looming features for parallel spatiotemporal computations. This works effectively on perceiving a potential collision from dark or light objects that approach; such a bio-plausible structure can also separate LGMD1's collision selectivity to its neighbouring looming detector - the LGMD2. The SFA mechanism can enhance the LGMD1's collision selectivity to approaching objects rather than receding and translating stimuli, which is a significant improvement compared with similar LGMD1 neuron models. The proposed framework has been tested using off-line tests of synthetic and real-world stimuli, as well as on-line bio-robotic tests. The enhanced collision selectivity of the proposed model has been validated in systematic experiments. The computational simplicity and robustness of this work have also been verified by the bio-robotic tests, which demonstrates potential in building neuromorphic sensors for collision detection in both a fast and reliable manner. (C) 2018 Elsevier Ltd. All rights reserved.

Keyword :

Neuron model Collision selectivity Locusts LGMD1 Bio-robotics ON and OFF pathways

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GB/T 7714 Fu, Qinbing , Hu, Cheng , Peng, Jigen et al. Shaping the collision selectivity in a looming sensitive neuron model with parallel ON and OFF pathways and spike frequency adaptation [J]. | NEURAL NETWORKS , 2018 , 106 : 127-143 .
MLA Fu, Qinbing et al. "Shaping the collision selectivity in a looming sensitive neuron model with parallel ON and OFF pathways and spike frequency adaptation" . | NEURAL NETWORKS 106 (2018) : 127-143 .
APA Fu, Qinbing , Hu, Cheng , Peng, Jigen , Yue, Shigang . Shaping the collision selectivity in a looming sensitive neuron model with parallel ON and OFF pathways and spike frequency adaptation . | NEURAL NETWORKS , 2018 , 106 , 127-143 .
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Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media EI SCIE Scopus
期刊论文 | 2018 , 56 (5) , 2991-3001 | IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING
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Abstract :

The numerical simulation of wave fields in 3-D poroelastic media can give a better understanding of elastic properties, deformation characteristics of rocks, and interaction with pore fluids. However, the wave equations in 3-D poroelastic media include more equations, and the size of geophysical model for practical reservoir is immense. Therefore, numerical simulation is time consuming. In order to improve the efficiency, we proposed variable-order staggered-grid (SG) finite difference (FD) method to solve 3-D poroelastic wave equations. In this method, different orders of SGFD scheme can be selected for different velocities in a heterogeneous poroelastic model by restricting the dispersion parameters within a tolerable threshold. We derive the dispersion relation, numerical dispersion relation, and stability condition for 3-D poroelastic media using plane wave analysis and SGFD scheme. Based on the numerical dispersion relation of slow P-wave, S-wave, and fast P-wave, we restrict the average of dispersion parameters of the three waves within a given range; the orders of the SGFD scheme can be calculated for different velocities. Dispersion analysis shows that the variable-order SGFD method can maintain the accuracy compared with the fixed-order SGFD method. We use three numerical examples, which include laterally homogeneous model, a simplified overthrust model, and a geophysical model in a desert area in China, to demonstrate the accuracy and efficiency of the proposed method. The numerical results confirm that the variable-order SGFD method can reduce the computation time efficiently and still ensure the accuracy.

Keyword :

finite difference (FD) poroelastic media 3-D variable order dispersion relationship

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GB/T 7714 Zhang, Yijie , Gao, Jinghuai , Peng, Jigen . Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media [J]. | IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING , 2018 , 56 (5) : 2991-3001 .
MLA Zhang, Yijie et al. "Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media" . | IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING 56 . 5 (2018) : 2991-3001 .
APA Zhang, Yijie , Gao, Jinghuai , Peng, Jigen . Variable-Order Finite Difference Scheme for Numerical Simulation in 3-D Poroelastic Media . | IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING , 2018 , 56 (5) , 2991-3001 .
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A modified primal-dual method with applications to some sparse recovery problems EI SCIE Scopus
期刊论文 | 2018 , 333 , 76-94 | APPLIED MATHEMATICS AND COMPUTATION
WoS CC Cited Count: 1 SCOPUS Cited Count: 1
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Abstract :

In this paper, we first present a modified Chambolle-Pock primal-dual method (MCPPDM) to solve a convex composite optimization problem which minimizes the sum of two convex functions with one composed by a linear operator. It is well known that the Chambolle-Pock primal-dual method (CPPDM) with the combination parameter being 1 is an application of the proximal point algorithm and thus is convergent, however, when the combination parameter is not 1, the method may be not convergent. To choose flexibly the combination parameter, we develop a slightly modified version with little additional computation cost. In CPPDM, one variable is updated twice but another variable is updated only once at each iteration. However, in the modified version, two variables are respectively updated twice at each iteration. Another main task of this paper is that we reformulate some well-known sparse recovery problems as special cases of the convex composite optimization problem and then apply MCPPDM to address these sparse recovery problems. A large number of numerical experiments have demonstrated that the efficiency of the proposed method is generally comparable or superior to that of existing well-known methods such as the linearized alternating direction method of multipliers and the graph projection splitting algorithm in terms of solution quality and run time. (C) 2018 Elsevier Inc. All rights reserved.

Keyword :

Proximity operator Sparse recovery problems Primal-dual method

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GB/T 7714 Yu, Yongchao , Peng, Jigen . A modified primal-dual method with applications to some sparse recovery problems [J]. | APPLIED MATHEMATICS AND COMPUTATION , 2018 , 333 : 76-94 .
MLA Yu, Yongchao et al. "A modified primal-dual method with applications to some sparse recovery problems" . | APPLIED MATHEMATICS AND COMPUTATION 333 (2018) : 76-94 .
APA Yu, Yongchao , Peng, Jigen . A modified primal-dual method with applications to some sparse recovery problems . | APPLIED MATHEMATICS AND COMPUTATION , 2018 , 333 , 76-94 .
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An approximation to the reflection coefficient of plane longitudinal waves based on the diffusive-viscous wave equation EI SCIE Scopus
期刊论文 | 2017 , 136 , 156-164 | JOURNAL OF APPLIED GEOPHYSICS | IF: 1.646
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Abstract :

The frequency-dependent seismic anomalies related to hydrocarbon reservoirs have lately attracted wide interest. The diffusive-viscous model was proposed to explain these anomalies. When an incident diffusive-viscous wave strikes a boundary between two different media, it is reflected and transmitted. The equation for the reflection coefficient is quite complex and laborious, so it does not provide an intuitive understanding of how different amplitude relates to the parameters of the media and how variation of a particular parameter affects the reflection coefficient. In this paper, we firstly derive a two-term (intercept-gradient) and three-term (intercept-gradient -curvature) approximation to the reflection coefficient of the plane diffusive-viscous wave without any assumptions. Then, we study the limitations of the obtained approximations by comparing the approximate value of the reflection coefficient with its exact value. Our results show that the two approximations match well with the exact solutions within the incident angle of 35 degrees. Finally, we analyze the effects of diffusive and viscous attenuation parameters, velocity and density in the diffusive-viscous wave equation on the intercept, gradient and curvature terms in the approximations. The results show that the diffusive attenuation parameter has a big impact on them, while the viscous attenuation parameter is insensitive to them; the velocity and density have a significant influence on the normal reflections and they distinctly affect the intercept, gradient and curvature term at lower acoustic impedance. (C) 2016 Elsevier B.V. All rights reserved.

Keyword :

Approximation Diffusive-viscous wave equation Reflection coefficient Frequency-dependent

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GB/T 7714 Zhao, Haixia , Gao, Jinghuai , Peng, Jigen . An approximation to the reflection coefficient of plane longitudinal waves based on the diffusive-viscous wave equation [J]. | JOURNAL OF APPLIED GEOPHYSICS , 2017 , 136 : 156-164 .
MLA Zhao, Haixia et al. "An approximation to the reflection coefficient of plane longitudinal waves based on the diffusive-viscous wave equation" . | JOURNAL OF APPLIED GEOPHYSICS 136 (2017) : 156-164 .
APA Zhao, Haixia , Gao, Jinghuai , Peng, Jigen . An approximation to the reflection coefficient of plane longitudinal waves based on the diffusive-viscous wave equation . | JOURNAL OF APPLIED GEOPHYSICS , 2017 , 136 , 156-164 .
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TWO NEW LOWER BOUNDS FOR THE SPARK OF A MATRIX SCIE Scopus
期刊论文 | 2017 , 96 (3) , 353-360 | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | IF: 0.482
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Abstract :

The l(0)-minimisation problem has attracted much attention in recent years with the development of compressive sensing. The spark of a matrix is an important measure that can determine whether a given sparse vector is the solution of an l0-minimisation problem. However, its calculation involves a combinatorial search over all possible subsets of columns of the matrix, which is an NP-hard problem. We use Weyl's theorem to give two new lower bounds for the spark of a matrix. One is based on the mutual coherence and the other on the coherence function. Numerical examples are given to show that the new bounds can be significantly better than existing ones.

Keyword :

coherence function spark lower bound compressive sensing mutual coherence

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GB/T 7714 Liu, Haifeng , Zhu, Jihua , Peng, Jigen . TWO NEW LOWER BOUNDS FOR THE SPARK OF A MATRIX [J]. | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY , 2017 , 96 (3) : 353-360 .
MLA Liu, Haifeng et al. "TWO NEW LOWER BOUNDS FOR THE SPARK OF A MATRIX" . | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 96 . 3 (2017) : 353-360 .
APA Liu, Haifeng , Zhu, Jihua , Peng, Jigen . TWO NEW LOWER BOUNDS FOR THE SPARK OF A MATRIX . | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY , 2017 , 96 (3) , 353-360 .
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A Primal Douglas-Rachford Splitting Method for the Constrained Minimization Problem in Compressive Sensing EI SCIE Scopus
期刊论文 | 2017 , 36 (10) , 4022-4049 | CIRCUITS SYSTEMS AND SIGNAL PROCESSING | IF: 1.998
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Abstract :

Compressive sensing has achieved great success in many scientific research fields. It has revealed that sparse signals can be stably recovered from a small number of noisy measurements by solving the constrained convex -minimization problem. In practice, a faster algorithm for solving this optimization problem is the key to compressive sensing. The Douglas-Rachford splitting method is a well-known operator splitting method that has been widely applied for solving a certain class of convex composite problems. In particular, its dual application results in the popular alternating direction method of multipliers (ADMM). In this paper, we reformulate the constrained convex -minimization problem as a convex composite problem with a special structure and then apply the primal Douglas-Rachford splitting method to solve it. The computational cost of the developed algorithm in each iteration is dominated by the projection onto the constraint set. A fast and efficient method of computing the projection is proposed. Numerical results show that the developed algorithm performs better than the popular NESTA and LADMM (inexact ADMM) in terms of accuracy and run time for large-scale sparse signal recovery.

Keyword :

Douglas-Rachford splitting method Compressive sensing Sparse signal recovery

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GB/T 7714 Yu, Yongchao , Peng, Jigen , Han, Xuanli et al. A Primal Douglas-Rachford Splitting Method for the Constrained Minimization Problem in Compressive Sensing [J]. | CIRCUITS SYSTEMS AND SIGNAL PROCESSING , 2017 , 36 (10) : 4022-4049 .
MLA Yu, Yongchao et al. "A Primal Douglas-Rachford Splitting Method for the Constrained Minimization Problem in Compressive Sensing" . | CIRCUITS SYSTEMS AND SIGNAL PROCESSING 36 . 10 (2017) : 4022-4049 .
APA Yu, Yongchao , Peng, Jigen , Han, Xuanli , Cui, Angang . A Primal Douglas-Rachford Splitting Method for the Constrained Minimization Problem in Compressive Sensing . | CIRCUITS SYSTEMS AND SIGNAL PROCESSING , 2017 , 36 (10) , 4022-4049 .
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EXPLOSIVE SOLUTIONS OF PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE SCIE Scopus
期刊论文 | 2017 , 37 (10) , 5105-5125 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | IF: 0.976
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Abstract :

In this paper, we study the explosive solutions to a class of parbolic stochastic semilinear differential equations driven by a Levy type noise. The sufficient conditions are presented to guarantee the existence of a unique positive solution of the stochastic partial differential equation under investigation. Moreover, we show that positive solutions will blow up in finite time in mean L-P-norm sense, provided that the initial data, the nonlinear term and the multiplicative noise satisfies some conditions. Several examples are presented to illustrate the theory. Finally, we establish a global existence theorem based on a Lyapunov functional and prove that a stochastic Allen-Cahn equation driven by Levy noise has a global solution.

Keyword :

Levy noise blow-up of solutions Stochastic reaction-diffusion equation positive solution

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GB/T 7714 Li, Kexue , Peng, Jigen , Jia, Junxiong . EXPLOSIVE SOLUTIONS OF PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE [J]. | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS , 2017 , 37 (10) : 5105-5125 .
MLA Li, Kexue et al. "EXPLOSIVE SOLUTIONS OF PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE" . | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 37 . 10 (2017) : 5105-5125 .
APA Li, Kexue , Peng, Jigen , Jia, Junxiong . EXPLOSIVE SOLUTIONS OF PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE . | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS , 2017 , 37 (10) , 5105-5125 .
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The Moreau envelope based efficient first-order methods for sparse recovery EI SCIE Scopus
期刊论文 | 2017 , 322 , 109-128 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | IF: 1.632
WoS CC Cited Count: 1
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Abstract :

Sparse recovery from indirectly under-sampled or possibly noisy data is a burgeoning topic drawing the attention of many researchers. Since sparse recovery problems can be cast as a class of the constrained convex optimization models which minimize a nonsmooth convex objection function in a convex closed set, fast and efficient methods for solving the constrained optimization models are highly needed. By introducing the indicator functions related to constrained sets in sparse recovery models, we reformulate these models as two general unconstrained optimization problems. To develop fast first order methods, two smoothing approaches are proposed based on the Moreau envelope: smoothing the related indicator functions or the objection functions. By using the first smoothing approach, we obtain more proper unconstrained models for sparse recovery from noisy data. Fast iterative shrinkage-thresholding algorithm (FISTA) is applied to solve the smoothed models. When smoothing the objection functions, we propose an efficient first-order method based on FISTA to establish the rate of convergence of order theta(logk/k) for the iterative sequence of values of the original objective functions. Numerical experiments have demonstrated that the two proposed smoothing methods are comparable to the stateof-the-art first-order methods with respect to accuracy and speed when applied to the sparse recovery problems such as compressed sensing, matrix completion, and robust and stable principal component analysis. (C) 2017 Elsevier B.V. All rights reserved.

Keyword :

Moreau envelope Sparse recovery First-order methods

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GB/T 7714 Yu, Yongchao , Peng, Jigen . The Moreau envelope based efficient first-order methods for sparse recovery [J]. | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , 2017 , 322 : 109-128 .
MLA Yu, Yongchao et al. "The Moreau envelope based efficient first-order methods for sparse recovery" . | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 322 (2017) : 109-128 .
APA Yu, Yongchao , Peng, Jigen . The Moreau envelope based efficient first-order methods for sparse recovery . | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , 2017 , 322 , 109-128 .
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ON THE DECAY AND STABILITY OF GLOBAL SOLUTIONS TO THE 3D INHOMOGENEOUS MHD SYSTEM SCIE Scopus
期刊论文 | 2017 , 16 (3) , 745-780 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | IF: 0.884
WoS CC Cited Count: 1
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Abstract :

In this paper, we investigative the large time decay and stability to any given global smooth solutions of the 3D incompressible inhomogeneous MHD systems. We prove that given a solution (a, u, B) of (2), the velocity field and the magnetic field decay to zero with an explicit rate, for u which coincide with incompressible inhomogeneous Navier-Stokes equations [1]. In particular, we give the decay rate of higher order derivatives of u and B which are useful to prove our main stability result. For a large solution of (2) denoted by (a, u, B), we show that a small perturbation of the initial data still generates a unique global smooth solution and the smooth solution keeps close to the reference solution (a, u, B). At last, we should mention that the main results in this paper are concerned with large solutions.

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GB/T 7714 Jia, Junxiong , Peng, Jigen , Li, Kexue . ON THE DECAY AND STABILITY OF GLOBAL SOLUTIONS TO THE 3D INHOMOGENEOUS MHD SYSTEM [J]. | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2017 , 16 (3) : 745-780 .
MLA Jia, Junxiong et al. "ON THE DECAY AND STABILITY OF GLOBAL SOLUTIONS TO THE 3D INHOMOGENEOUS MHD SYSTEM" . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 16 . 3 (2017) : 745-780 .
APA Jia, Junxiong , Peng, Jigen , Li, Kexue . ON THE DECAY AND STABILITY OF GLOBAL SOLUTIONS TO THE 3D INHOMOGENEOUS MHD SYSTEM . | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS , 2017 , 16 (3) , 745-780 .
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General fractional differential equations of order and Type in Banach spaces SCIE Scopus
期刊论文 | 2017 , 94 (3) , 712-737 | SEMIGROUP FORUM | IF: 0.492
WoS CC Cited Count: 3
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Abstract :

In this paper, we are concerned with general fractional differential equations of order and type in Banach spaces. We define and develop a theory of general fractional sine functions and show that they are essentiality equivalent to a general fractional resolvent. We use such theory to study the well-posedness of the above general fractional differential equations. An illustration example is presented.

Keyword :

General fractional sine function Fractional differential equations Mild solution Strong solution

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GB/T 7714 Mei, Zhan-Dong , Peng, Ji-Gen , Gao, Jing-Huai . General fractional differential equations of order and Type in Banach spaces [J]. | SEMIGROUP FORUM , 2017 , 94 (3) : 712-737 .
MLA Mei, Zhan-Dong et al. "General fractional differential equations of order and Type in Banach spaces" . | SEMIGROUP FORUM 94 . 3 (2017) : 712-737 .
APA Mei, Zhan-Dong , Peng, Ji-Gen , Gao, Jing-Huai . General fractional differential equations of order and Type in Banach spaces . | SEMIGROUP FORUM , 2017 , 94 (3) , 712-737 .
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