姓名: 曹飞龙
学校: 中国计量大学
学院: 理学院
职称:  

<div class> <p><br/>   基本信息</strong><br/>   姓名:曹飞龙</strong><br/>   性别:男<br/>   学位:博士<br/>   职称:教授<br/>   一级学科:数学 <br/>   二级学科:应用数学<br/>   二级学院:理学院 <br/>   一级学科2:数学<br/>   二级学科2:计算数学<br/>   研究方向:智能计算、可信软件、图形图像处理、函数逼近论及其应用 <br/>   Email:flcao@cjlu.edu.cn<br/> <br/>   在研课题</strong><br/>   基于球调和分析理论的信号稀疏表示与重构算法”,性质:国家自然科学基金面上项目,排名:1/9,编号:61272023,执行时时间:2013.1-2016.12<br/>   <br/>   近期发表的主要成果</strong><br/>   1. 曹飞龙,夏晟。球面混合插值的逼近性质,中国科学(A辑),43(1),pp 45-60,2013<br/>   2.F. L. Cao*, S. B. Lin, X. Y. Chang, Z. B. Xu. Learning rates of regularized regression on the unit sphere. Science China, Series A, Mathematics, DOI: 10.1007/ s11425-000-0000-0, 2013(SCI)<br/>   3.F. L. Cao*, X. Xing. An oracle inequality for regularized minimizers with strongly mixing observations. Front. Math. China, DOI: 10.1007/s11464-012-0186-5, 2013(SCI)<br/>   4.F. L. Cao*, B. Liu, D. S. Park. Image classification based on effective extreme learning machine. Neurocomputing, 102, pp 90–97, 2013 (SCI)<br/>   5.F. L. Cao, C. M. Wang. The learning rate for regularized least-squares algorithm on the unit sphere. J. Computational Analysis and Applications, 15(2), pp 224-236, 2013 (SCI)<br/>   6.M. Li, F. L. Cao*, Z. X. Chen. The equivalent theorem for Jackson-type operators on spherical cap. J. Computational Analysis and Applications, 15(4), pp 778-787, 2013(SCI)<br/>   7.Z. X. Chen, F. L. Cao*. The properties of logistic function and applications to neural network approximation. J. Computational Analysis and Applications, 15(6), pp 1046-1056, 2013(SCI)<br/>   8.T. F. Xie, F. L. Cao*. The rate of approximation of Gaussian radial basis neural networks in continuous function space. Acta Mathematica Sinica, English Series, 29(2), pp 295-302, 2013 (SCI)<br/>   9.Z. H. Zhou, J. W. Zhao, F. L. Cao*. Surface reconstruction based on extreme learning machine. Neural Computing and Applications, doi: 10.1007/s00521-012-0891-8, 2013(SCI)<br/>   10.J. W. Zhao, Z. H. Zhou, F. L. Cao*. Human face recognition based on ensemble of polyharmonic classifiers. Neural Computing and Applications, DOI: 10.1007/ s00521 -013- 1356-4, 2013(SCI)<br/>   11.F. L. Cao*, S. B. Lin. Multivariate weighted Bernstein-type inequality and its applications. Acta Mathematica Scientia, 32B(2), pp471–482, 2012(SCI)<br/>   12.F. L. Cao*, X. Xing, J. W. Zhao. Learning rates of support vector machine classification for density level detection. Neurocomputing, 82, pp 84–90, 2012 (SCI)<br/>   13.F. L. Cao*, Z. H. Lee, Y. Q. Zhang. Estimates of learning rates of regularized regression via polyline functions. Math. Methods in Applied Sciences, 35, pp 174–181, 2012(SCI)<br/>   14.F. L. Cao*, D. Wu, Z. H. Lee, Learning rates for regularized classifiers using trigonometric polynomial kernels, Neural Process. Lett, 35, pp265-281, 2012(SCI)<br/>   15.Z. X. Chen, F. L. Cao*. The construction and approximation of a class of neural networks operators with ramp functions. J. Comput. Anal. Appli, 14(1), pp 101-112, 2012(SCI)<br/>   16.Z. X. Chen, F. L. Cao*, Jinjie Hu. Error estimates of quasi-interpolation and its derivatives. J. Comput. Applied Math, 236, pp 3137-3146, 2012(SCI)<br/>   17.Z. X. Chen, F. L. Cao*, J. W. Zhao. The construction and approximation of some neural networks operators. Applied Math. J. Chinese Univ, 27(1), pp 69-77, 2012(SCI)<br/>   18.Z. B. Xu, Y. Q. Zhang, F. L. Cao*. Estimation of convergence rate for multi-regression learning algorithm, Sciences in China, Series F: Information Science, 55(3), pp 701-713, 2012(SCI)<br/>     徐宗本,张永全,曹飞龙*.多元回归学习算法收敛速度的估计,中国科学F辑:信息科学,41(2),pp 144-156,2011<br/>   19.Y. Q. Zhang, F. L. Cao*. Analysis of convergence performance of neural networks ranking algorithm, Neural Networks, 34, pp 65-71, 2012(SCI)<br/>   20.Y. B. Yuan, H. Y. Zhu, B. Liu, F. L. Cao*.Software reliability modeling with removed errors and compounded-decreased-rate. Mathematical and Computer Modelling, 55, pp 697–709, 2012 (SCI)<br/>   21.S. B. Lin, F. L. Cao, X. Y. Chang, Z. B. Xu. A general radial quasi-interpolation operator on the sphere. J. Approx. Theory, 164, pp1402-1414, 2012 (SCI)<br/>   22.S. B. Lin, F. L. Cao, Z. B. Xu. A convergence rate for approximate solutions of Fredholm integral equations of the first kind. Positivity, 16(4), pp 641-652, 2012 (SCI)<br/>   23.S. B. Lin, F. L. Cao, Z. B. Xu, X. F. Guo. Cubature formula for spherical basis function networks. Chinese Annals of Mathematics-Series B, 33(6), pp 807-814, 2012(SCI)<br/>   24.J. W. Zhao, Dong Sun Park, Joonwhoan Lee, F. L. Cao*. Generlized extreme learning machine on a metric space, Soft Computing, 16, pp1503–1514, 2012 (SCI)<br/>   25.S. B. Lin, F. L. Cao, Z. B. Xu, Essential rate for approximation by spherical neural networks, Neural Networks, 24, pp 752–758, 2011(SCI: 813VB)<br/>   26.Y. Q. Zhang, F. L. Cao*, Z. B. Xu. Estimation of learning rate of least square algorithm via Jackson operators. Neurocomputing, 74, pp 516–521, 2011 (SCI: 712WU)<br/>   27.Y. Q. Zhang, F. L. Cao*, Z. B. Xu. Optimal rate of the regularized regression learning algorithm, Inter. J. Computer Math, 88(7), pp 1471 -1483, 2011(SCI: 749YA)<br/>   28.F. L. Cao*, X. Xing. Learning rates for multi-kernel linear programming classifiers, Frontiers of Mathematics in China, 6(2), pp 203-219, 2011 (SCI: 746YG)<br/>   29.Y. B. Yuan, Y. G. Wang, F. L. Cao*, Optimization approximation solution for regression problem based on extreme learning machine, Neurocomputing, 74, pp 2475–2482, 2011 (SCI: 823ET)<br/>   30.Y. G. Wang, F. L. Cao*, Y. B. Yuan, A study on effectiveness of extreme learning machine, Neurocomputing, 74, pp 2483–2490, 2011 (SCI: 823ET)<br/>   31.F. L. Cao*, S. B. Lin, Z. B. Xu. Constructive approximate interpolation by neural networks in the metric space, Math. Computer Model, 52, pp 1674-1681, 2011 (SCI: 644DZ)<br/>   32. T. F. Xie, F. L. Cao*. The errors of simultaneous approximation of multivariate functions by neural networks, Computers and Mathematics with Applications, 61, pp 3146– 3152, 2011, (SCI: 775IQ)<br/>   33.S. B. Lin, F. L. Cao*, Z. B. Xu, The essential rate of approximation for radial function manifold, Science in China Ser. A: Mathematics, 54(9), pp 1985-1994, 2011 (SCI: 811OY)<br/>   34.F. L. Cao*, H. Z. Wang, S. B. Lin. The estimate for approximation error of spherical neural networks, Math. Methods Applied Sciences, 34(15), pp 1888-1895, 2011 (SCI: 831FW)<br/>   35.Y. G. Wang, F. L. Cao*. Approximation by Boolean sums of Jackson operators on the sphere. J. Computational Analysis and Applications, 13(5), pp 830-842, 2011 (SCI:736XB)<br/>   36.F. L. Cao*, X. F. Guo, S. B. Lin. Lp error estimations for scattered data interpolation on the sphere. Numerical Functional Analysis and Optimization, 32(12), pp 1205– 1218, 2011 (SCI: )<br/>   37.F. L. Cao*, S. B. Lin. The capabilities of approximation for interpolation neural networks on the sphere. Math. Methods Applied Sciences, 34, pp 469-478, 2011 (SCI: 731FJ)<br/>   38.S. B. Lin, F. L. Cao*. Strong Converse Inequality for a Spherical Operator. J. Ineq. Appli, 2011, 1-7, 2011 (SCI: 60QQ)<br/>   39.F. L. Cao*, S. B. Lin. Nikolskii-type inequality with doubling weights. Journal of Computational Analysis and Applications, 13(5), pp 822-829, 2011 (SCI:736XB)<br/>   40.F. L. Cao*, Y. F. Liu. Approximation theorems by positive linear operators in weighted spaces, Positivity, 15, 87–103, 2011 (SCI:723JZ)<br/>   41.T. F. Xie, F. L. Cao*. The ridge function representation of polynomials and an application to neural networks, Acta Math. Sinica (English Series), 27(11), pp 2169– 217, 2011 (SCI: 837CP)<br/>   42.F. L. Cao*, Y. F. An. Lp Approximation by Multivariate Baskakov-Durrmeyer Operator. J. Ineq. Appli, 2011, 1-7, 2011 (SCI: 760PY)<br/>   43.T. F. Xie, F. L. Cao*, The errors in simultaneous approximation by feed-forward neural networks, Neurocomputing, 73, pp 903–907, 2010 (SCI: 570AC )<br/>   44.F. L. Cao*,S. B. Lin, Z. B. Xu. The capabilities of approximation for interpolation neural networks. Neurocomputing, 73, pp 457-460, 2010 (SCI: 701GG)<br/>   45.F. L. Cao*, Y. B. Yuan. Learning errors of linear programming support vector regression. Applied Math. Modeling, 35, pp1820-1828, 2010 (SCI: 717QR)<br/>   46.F. L. Cao*, X. F. Guo. Approximation by Jackson-type operator on the sphere. Mathematical Communications, 15, pp 331-346, 2010 (SCI: 691ME)<br/>   47.Z. X. Chen, F. L. Cao*. Global errors for approximate approximations with Gaussian kernels on compact intervals. Applied Math. Computation, 217: 725–734, 2010 (SCI: 640PG)<br/>   48.F. L. Cao, S. B. Lin, B. L. Zhang. On general Bernstein and Nikol’ski? type inequalities. Appl. Math. J. Chinese Univ, 25(1), pp 35-42, 2010 (SCI: 568MM)<br/> <br/>   主持完成的科研项目</strong><br/>   项目名称:基于逼近理论的误差可控计算与可信算法研究,<br/>   性质:国家自然科学基金可信软件重大研究计划项目,<br/>   排名:1/10,批准号:90818020,执行时间:2009.1-2011.12<br/>   1.项目名称:球面学习理论研究,性质:国家自然基金面上项目,排名:1/9,批准号:60873206,执行时间:2009.1-2011.12。<br/>   2.项目名称:超强学习机国际研讨会,性质:国家自然科学基金国际合作与交流项目,排名:1/1,编号:61110306122,执行时时间:2011.9-2012.12。<br/>   3.项目名称:奇异摄动时滞系统最优控制近似方法研究,性质:国家自然科学基金面上项目,排名:2/9,批准号60874029,执行时间:2009.1-2011.12。<br/>   4.项目名称:神经网络逼近与插值的下界估计,性质:省自然科学基金项目,排名:1/6,批准号:Y7080235,执行时间:2009.1-2011.12<br/> <br/>   个人简历</strong><br/>   曹飞龙,教授,博士后。现任理学院院长,浙江省重点学科“应用数学”学科负责人,计量与计算科学研究所所长。<br/>   (1)浙江省高校中青年学科带头人(2004---)<br/>   (2)浙江省“新世纪151优秀人才工程第二层次培养人员”(2006—)<br/>   (3)西安交通大学兼职博士生导师(2007--)<br/>   (4)河北师范大学兼职硕士生导师(2003—)<br/>   (5)浙江省数学教学指导委员会委员(2008—)<br/> <br/>   *如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。联系方式&gt;&gt;</a></p> </div>


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