曹飞龙
sex
1
title
教授
department
理学院
college

college2
经济与管理学院
degree
博士
recruit":0,"firstDiscipline1
数学
secondaryDiscipline1

firstDiscipline2

secondaryDiscipline2

executive

officePhone

mobilePhone

emailAddress
flcao@cjlu.edu.cn
businessAddress

individualResume
现任中国计量大学教授，计量与计算科学研究所所长，浙江省一流学科“数学”、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，浙江省数学会常务理事，入选浙江省“新世纪151人才工程”第二层次。西安交通大学、澳大利亚La Trobe 大学兼职博士生导师，东北大学、深圳大学、浙江海洋大学客座教授。\r 主持国家自然科学基金面上项目4项、重大研究计划项目2项、国际合作项目1项。在《Neural Networks》（国际神经网络学会会刊）、《IEEE Trans.》系列、《中国科学》等主流期刊上发表学术论文200多篇，其中被SCI检索论文130多篇。多年来指导硕士生50多名，合作指导博士研究生2名，出版教材2部。
researchTopic
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：**, 执行时时间：2013.1-2016.12\r2.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：**, 执行时时间：2014.1-2016.12\r3.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\r
awards

researchProject
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.**)，执行时间：2009.1-2011.12\r2.国家自然基金面上项目：球面学习理论研究(no.**)，执行时间：2009.1-2011.12\r3.国家自然科学基金国际合作与交流项目 (no.), 执行时时间：2011.9-2012.12。\r4.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.Y**)，执行时间：2009.1-2011.12
publications
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\r\r2. 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)\r3. 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)\r4. F. L. Cao*, B. Liu, D. S. Park. Image classification based on effective extreme learning machine. Neurocomputing, 102, pp 90–97, 2013 (SCI)\r5. 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)\r6. 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)\r7. 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)\r8. 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)\r9. 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)\r10. 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)\r11. F. L. Cao*, S. B. Lin. Multivariate weighted Bernstein-type inequality and its applications. Acta Mathematica Scientia, 32B(2), pp471–482, 2012(SCI)\r12. 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)\r13. 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)\r14. 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)\r15. 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)\r16. 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)\r17. 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)\r18. 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)\r 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\r19. Y. Q. Zhang, F. L. Cao*. Analysis of convergence performance of neural networks ranking algorithm, Neural Networks, 34, pp 65-71, 2012(SCI) \r20. 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)\r21. 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)\r22. 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)\r23. 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) \r24. 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)\r25. 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)\r26. 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)\r27. 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)\r28. 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)\r29. 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)\r30. 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)\r31. 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)\r32. 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)\r33. 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)\r34. 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)\r35. 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)\r36. 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: )\r37. 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)\r38. S. B. Lin, F. L. Cao*. Strong Converse Inequality for a Spherical Operator. J. Ineq. Appli., 2011, 1-7, 2011 (SCI: 60QQ)\r39. 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)\r40. F. L. Cao*, Y. F. Liu. Approximation theorems by positive linear operators in weighted spaces, Positivity, 15, 87–103, 2011 (SCI:723JZ)\r41. 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)\r42. F. L. Cao*, Y. F. An. Lp Approximation by Multivariate Baskakov-Durrmeyer Operator. J. Ineq. Appli., 2011, 1-7, 2011 (SCI: 760PY)\r43. T. F. Xie, F. L. Cao*, The errors in simultaneous approximation by feed-forward neural networks, Neurocomputing, 73, pp 903–907, 2010 (SCI: 570AC )\r44. 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)\r45. F. L. Cao*, Y. B. Yuan. Learning errors of linear programming support vector regression. Applied Math. Modeling, 35, pp1820-1828, 2010 (SCI: 717QR)\r46. F. L. Cao*, X. F. Guo. Approximation by Jackson-type operator on the sphere. Mathematical Communications, 15, pp 331-346, 2010 (SCI: 691ME)\r47. 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)\r48. 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)\r\r
others

correlation
researchDirection1
智能计算与应用
researchDirection2
机器学习及其应用
researchDirection3
人工神经网络及其应用
researchDirection4
函数逼近论及其应用