向道紅，女，博士，浙江師範大學數學與計算機科學學院教授。
基本介紹
- 中文名：向道紅
- 畢業院校：香港城市大學
- 學位/學歷：博士
- 職業：教師
- 專業方向：統計學習理論、穩健統計、深度學習等相關領域
- 任職院校：浙江師範大學數學與計算機科學學院
研究方向,主講課程,學術成果,科研項目,論文著作,榮譽獎項,
研究方向
統計學習理論、穩健統計、深度學習等相關領域。
主講課程
主講本科課程：《機率論》、《數理統計》、《多元統計分析》、《壽險精算》等。
主講研究生課程:《高等數理統計》、《統計學習理論》、《多元統計分析》等。
學術成果
科研項目
1.對一系列高維學習算法的理論研究，國家自然科學基金青年基金，2011.01-2013.12，主持；
2.資訊理論學習中的正則化及相關高維數據分析方法的數學理論，國家自然科學基金面上項目，2015.01-2018.12，主持；
3.半監督流形學習的數學理論，國家自然科學基金面上項目，2019.01-2022.12， 主持；
4.稀疏與冗餘表征的理論及套用研究，國家自然科學基金面上項目，2012.01-2015.12，參與，第三；
5.基於小波框架的散亂數據重構及其在計算生物中的套用，國家自然科學基金面上項目，2018.01-2021.12，參與，第二。
論文著作
1. D. R. Chen andD. H. Xiang, The consistency of multicategory support vector machines,Advances in Computational Mathematics24(2006), 155-169.
2.D. R. Chen andD. H. Xiang, A construction of multiresolution analysis on interval,Acta Mathematica Sinica (English Series)23(2007), 705-710.
3.Z. W. Pan,D. H. Xiang, Q. W. Xiao, and D. X. Zhou, Parzen windows for multi-classclassification,Journal of Complexity24(2008), 606-618.
4.D. H. Xiangand D. X. Zhou, Classification with Gaussians and convex loss,Journal ofMachine Learning Research10(2009), 1447-1468.
5.H. Y. Wang,D. H. Xiangand D. X. Zhou,Moving least-square method in learning theory,Journal of Approximation Theory162(2010), 599-614.(Corresponding author)
6.B. H. Sheng andD . H. Xiang, The convergence rate for a K-functional in learning theory,Journal of Inequalities and Applications,2010,doi:10.1155/2010/249507.
7.D. H. Xiang, Classification with Gaussians and convex loss II : improving error bounds by noise conditions,Sci China Math54(2011), 165-171.
8.D. H. Xiang, Logistic classification with varying Gaussians,Computers and Mathematics with Applications,61(2011), 397-407.
9.D. H. Xiang, T. Hu and D. X. Zhou, Learning with varying insensitive loss,Applied Mathematics Letters,24(2011), 2107-2109.
10.D. H. Xiang, Conditional quantiles with varying Gaussians,Advances in Computational Mathematics,2011,doi:10.1007/s10444-011-9257-5.
11.B. H. Sheng andD. H. Xiang,The consistency analysis of coefficient regularized classification with convex loss,WSEAS Transactionson Mathematics,10(2011), 291-300.
12.D. H. Xiang, A new comparison theorem on conditional quantiles,Applied Mathematics Letters,25(2012), 58-62, doi:10.1016/j.aml.2011.05.048.
13.D. H. Xiang, T. Hu and D. X. Zhou, Approximation analysis of learning algorithmsfor support vector regressionand quantile regression,Journal of Applied Mathematics,2012(2012), 17 pages, doi:10.1155/2012/902139.
14.B. H. Sheng andD. H. Xiang,Bound the learning rates with generalized gradients,WSEAS Transactions on Signal Processing, 8(2012), 1-10.
15.T. Hu,D. H. Xiangand D. X. Zhou, Online learning for quantile regression,Journal of Statistical Inference and Planning,142(2012), 3107-3122.
16.D. H. Xiang, ERM scheme for quantile regression,Abstract and Applied Analysis,2013(2013), 1-6,
17.B. H. Sheng andD. H. Xiang,The learning rate ofl2-coefficient regularized classificationwith strong loss,Acta Mathematica Sinica, English Series,29(2013),2397-2408.
18.B. H. Sheng,D. H. Xiangand P. X. Ye,Convergence rate of semi-supervised gradient learning. International Journal of Wavelets,Multiresolution and Information Processing,13(2015), 26 pages, doi:10.1142/S0219691315500216.
19. J. Cai andD. H. Xiang, Statistical consistency of coefficient-based conditional quantile regression,Journal of Multivariate Analysis,149(2016), 1-12.
20. A. Christmann, F. Dumpert andD. H. Xiang, On extension theorems and their connection to universal consistency in machine learning.Analysis and Applications,14(2016), 795-808.
21.Z. C. Guo,D. H. Xiang, X. Guo and D. X. Zhou, Thresholded spectral algorithms for sparse approximations.Analysis and Applications,15(2017), 433-455. （高被引論文）
22. B. H. Sheng andD. H. Xiang, The performance of semi-supervised Laplacian regularized regression with the least square loss.International Journal of Wavelets, Multiresolution and Information Processing,15(2017), 1-31.
23. A. Christmann,D. H. Xiangand D. X. Zhou, Total stability of kernel methods,Neurocomputing,289(2018), 101–118.
榮譽獎項
1.CityUniversity of Hong KongOutstanding Academic Performance Award for Research Degree Students,HK$ 1,000,2008.
2.CityUniversity of Hong KongResearch Tuition Scholarship,HK$ 15,000,2008.
