中国计量大学硕士生导师信息表

基本信息

姓名: 曹飞龙 性别: 学位: 博士
职称: 教授 一级学科: 数学 二级学科: 应用数学
二级学院: 理学院 一级学科2: 数学 二级学科2: 计算数学
研究方向: 智能计算与应用 图形图像处理 大数据分析与处理 函数逼近论及其应用 办公地点:
办公电话: 移动电话: Email: flcao@cjlu.edu.cn

在研课题

1.主持国家自然科学基金面上项目“基于球调和分析理论的信号稀疏表示与重构算法”,编号:61272023, 执行时时间:2013.1-2016.12
2.主持国家自然科学基金重大研究计划项目“矩阵恢复的稀疏正则化算法及其应用”,编号:91330118, 执行时时间:2014.1-2016.12
3.主持企业委托项目“血液细胞图像处理与分类”,50万,2013.10-2015.10

获奖情况

 

近期发表的主要成果

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

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)
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)
4.  F. L. Cao*, B. Liu, D. S. Park. Image classification based on effective extreme learning machine. Neurocomputing, 102, pp 90–97, 2013 (SCI)
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)
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)
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)
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)
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)
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)
11.  F. L. Cao*, S. B. Lin. Multivariate weighted Bernstein-type inequality and its applications. Acta Mathematica Scientia, 32B(2), pp471–482, 2012(SCI)
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)
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)
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)
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)
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)
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)
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)
    18+ 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
19.  Y. Q. Zhang, F. L. Cao*. Analysis of convergence performance of neural networks ranking algorithm, Neural Networks, 34, pp 65-71, 2012(SCI) 
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)
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)
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)
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) 
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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: )
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)
38.  S. B. Lin, F. L. Cao*. Strong Converse Inequality for a Spherical Operator. J. Ineq. Appli., 2011, 1-7, 2011 (SCI: 60QQ)
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)
40.  F. L. Cao*, Y. F. Liu. Approximation theorems by positive linear operators in weighted spaces, Positivity, 15, 87–103, 2011 (SCI:723JZ)
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)
42.  F. L. Cao*, Y. F. An. Lp Approximation by Multivariate Baskakov-Durrmeyer Operator. J. Ineq. Appli., 2011, 1-7, 2011 (SCI: 760PY)
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 )
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)
45.  F. L. Cao*, Y. B. Yuan. Learning errors of linear programming support vector regression. Applied Math. Modeling, 35, pp1820-1828, 2010 (SCI: 717QR)
46.  F. L. Cao*, X. F. Guo. Approximation by Jackson-type operator on the sphere. Mathematical Communications, 15, pp 331-346, 2010 (SCI: 691ME)
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)
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)

主持完成的科研项目

1.国家自然科学基金可信软件重大研究计划项目:基于逼近理论的误差可控计算与可信算法研究(no.90818020),执行时间:2009.1-2011.12
2.国家自然基金面上项目:球面学习理论研究(no.60873206),执行时间:2009.1-2011.12
3.国家自然科学基金国际合作与交流项目 (no.61110306122), 执行时时间:2011.9-2012.12。
4.浙江省自然科学基金项目:神经网络逼近与插值的下界估计(no.Y7080235),执行时间:2009.1-2011.12

个人简历

    现任中国计量学院理学院院长院长、教授,计量与计算科学研究所所长,浙江省重点学科“应用数学”负责人,浙江省高校中青年学科带头人,浙江省应用数学研究会常务理事,浙江省数学会理事,入选浙江省“新世纪151人才工程”第二层次。任西安交通大学基础科学研究中心客座研究员、兼职博士生导师。2003年毕业于西安交通大学应用数学专业,获博士学位,2006年西安交通大学力学博士后流动站出站。2005年7月至2005年9月任香港浸会大学计算机系访问教授, 2006年7月至2006年9月任复旦大学教育部“非线性数学模型与方法”重点实验室访问教授,2011年6月至2011年8月及2012年1月至2012年2月任韩国全北大学电子工程学院访问教授,2013年11月至2014年1月任澳大利亚La Trbue大学计算机系访问教授。曾短期学术访问澳门大学数学系、澳大利亚斯文本科技大学机械控制系、悉尼科技大学计算机系等。
    主持国家自然科学基金面上项目3项、重大研究计划项目2项、国际合作项目1项。在《Neural Networks》、《Information Science》、《J. Approx. Theory》、《J. Math. Anal. Appli.》等国际期刊上发表学术论文90多篇,在国内的《中国科学》上发表论文9篇、在《数学学报》与《数学年刊》上发表论文13篇,被SCI检索论文80多篇。多年来指导硕士生二十多名,合作指导博士研究生1名,出版教材2部。

其他

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