吳鋼,博士,教授,博士生導師,江蘇省“青藍工程”中青年學術帶頭人,江蘇省“333工程”中青年科學技術帶頭人”,現任江蘇省計算數學學會副理事長。
主要研究方向:數據科學中的大規模矩陣計算;數據挖掘與統計計算;大數據相關快速算法與理論;機器學習中的快速算法與優化;人工智能的數學理論與快速算法;
教育背景:1994年9月-1998年7月就讀于山東大學數學與系統科學學院計算數學及其應用軟件專業,獲理學學士學位;1998年9月-2001年7月就讀于大連理工大學應用數學系,獲理學碩士學位;2001年9月-2004年7月就讀于複旦大學數學研究所,獲理學博士學位。
招生專業:
博士生招生專業:計算數學(招生方向:大規模科學與工程計算、數據科學中的大規模矩陣計算、數據挖掘與統計計算);應用數學(招生方向:大數據相關快速算法與理論、機器學習中的快速算法與優化);人工智能(招生方向:人工智能的數學理論與快速算法)
碩士生招生專業:計算數學、統計學、應用數學、運籌學與控制論、人工智能(人工智能的數學理論與快速算法)
個人主頁:http://faculty.cumt.edu.cn/WG123/zh_CN/index.htm
研究生院個人主頁:http://yjsxt.cumt.edu.cn/Gwork/Teacher/TeacherInfo.aspx?EID=LaosoqV95obwlF5b1lJ4MWcny1oCMgkH
聯系方式:E-mail:gangwu@cumt.edu.cn, gangwu76@126.com, QQ:2545165275
通訊地址:江蘇省徐州市,中國礦業大學伟德bvA309,郵政編碼:221116
一、主講課程
研究生課程:數據分析與數據挖掘、機器學習、深度學習、統計學習方法、大規模科學計算方法、工程計算的新方法等;
本科生課程:統計計算、數據挖掘、矩陣計算(雙語)、數值分析、矩陣分析等。
二、科研項目
1.主持國家自然科學基金面上項目:高維大樣本數據降維中核矩陣計算問題的随機算法研究,No. 12271518, 2023.1-2026.12, 在研;
2. 主持國家自然科學基金面上項目:複雜網絡關鍵節點快速算法研究及其在蛋白質功能預測中的應用,No. 11371176, 2014.1-2017.12,已結題;
3.主持國家自然科學基金項目(青年基金):PageRank問題的研究及其在基因芯片數據挖掘中的應用,No.10901132,2010.1-2012.12,已結題;
4.主持國家自然科學基金項目(數學天元青年基金): Google搜索引擎中網頁等級問題的理論與快速算法研究,No.10626044,2007.1-2007.12,已結題;
5. 主持江蘇省自然科學基金面上項目:高維數據降維的“不精确”矩陣函數判别分析方法研究, No. BK20171185,2017.7-2020.6,已結題;
6.主持江蘇省自然科學基金面上項目: 基于投影類技術的數據降維算法及其在圖像處理中的應用,No. BK20131126, 2013.7-2016.6,已結題;
三、學術論著
在SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing,SIAM Journal on Matrix Analysis and Applications, IMA Journal of Numerical Analysis, IEEE Transactions on Knowledge and Data Engineering, Pattern Recognition, Machine Learning, ACM Transactions on Information Systems等發表學術論文多篇。部分代表性學術論著如下:
2022
Yongyan Guo, Gang Wu, A new lower bound on the size of the smallest vertex separator of a graph, SIAM Journal on Matrix Analysis and Applications, 43: 370-376, 2022.
Gang Wu, Keke Peng, An inverse-free block-SOR method with randomly sampling for temporal multiplex PageRank problems, IEEE Transactions on Knowledge and Data Engineering, DOI:10.1109/TKDE.2022.3197920, Accepted, 2022.
Pang, Gang Wu, Fast algorithms for incremental and decremental semi-supervised discriminant analysis, Pattern Recognition, 131, Article 108888, 2022.
Ke Li, Gang Wu. Randomized approximate class-specific kernel spectral regression analysis for large-scale face verification, Machine Learning, 111: 2037–2091, 2022.
Bo Feng, Gang Wu, Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem, Applied Numerical Mathematics, 181: 388–402, 2022.
2021
Wenya Shi,Gang Wu, A randomized algorithm for Trace-Ratio problem with applications to high-dimensional and large sample dimensionality reduction, Machine Learning, https://doi.org/10.1007/s10994-020-05937-w, 2021.
Gang Wu, Fei Li, A randomized exponential canonical correlation analysis method for data analysis and dimensionality reduction, Applied Numerical Mathematics, 164: 101–124, 2021.
Azita Tajaddini, Gang Wu, Farid Saberi-Movahed, Najmeh Azizizadeh, Two new variants of the simpler block GMRES method with vector deflation and eigenvalue deflation for multiple linear systems, Journal of Scientific Computing, 86: Article 9, 2021.
Ke Li, Gang Wu, A randomized generalized low rank approximations of matrices algorithm for high dimensionality reduction and image compression, Numerical Linear Algebra with Applications, 28, e2338, 2021.
Jun Huang Gang Wu, Convergence of the fixed-point iteration for multilinear PageRank, Numerical Linear Algebra with Applications, 28, e2379, 2021.
2020
Yingdi Lu, GangWu, Fast and incremental algorithms for exponential semi-supervised discriminant embedding, Pattern Recognition, 108, 107530, 2020.
Yunjie Wang, Gang Wu, New strategies for determining backward perturbation bound of approximate two-sided Krylov subspaces, Numerical Linear Algebra with Applications, 27, e2324, 2020.
Yunjie Wang, Gang Wu, On the Kahan-Parlett-Jiang theorem—A globally optimal backward perturbation error for two-sided invariant subspaces, Linear Algebra and its Applications, 602, 73--92, 2020.
2018
Gang Wu, Lu Zhang. New algorithms for approximating phi-functions and their condition numbers for large sparse matrices, IMA Journal of Numerical Analysis, 38: 1185–1208, 2018.
2017
Gang Wu. The convergence of harmonic Ritz vectors and harmonic Ritz values, Revisited, SIAM Journal on Matrix Analysis and Applications, 2017 , 38: 118--133.
Gang Wu, Tingting Feng, Lijia Zhang, Meng Yang. Inexact implementation using Krylov subspace methods for large scale exponential discriminant analysis with applications to high dimensionality reduction problems, Pattern Recognition, 66: 328--341, 2017.
Gang Wu, Hongkui Pang. On the correction equation of the Jacobi-Davidson method, Linear Algebra and its Applications, 522: 51--70, 2017.
2016
Gang Wu, Lu Zhang, Ting-ting Xu. A framework of the harmonic Arnoldi method for evaluating phi-functions with applications to exponential integrators, Advances in Computational Mathematics, 42: 505--541, 2016.
2015
Gang Wu, Wei Xu and Huan Leng. Inexact and incremental bilinear Lanczos components algorithms for high dimensionality reduction and image reconstruction, Pattern Recognition, 48: 244--263, 2015.
Gang Wu, Ting-ting Feng, Yimin Wei. An inexact shift-and-invert Arnoldi algorithm for Toeplitz matrix exponential, Numerical Linear Algebra with Applications, 22: 777--792, 2015.
Gang Wu, Ting-ting Feng. A theoretical contribution to the fast implementation of null linear discriminant analysis with random matrix multiplication, Numerical Linear Algebra with Applications, 22: 1180--1188, 2015.
2014
Gang Wu, Lu Zhang, On expansion of search subspaces for large non-Hermitian eigenproblem, Linear Algebra and its Applications, 454: 107--129, 2014.
2013
Gang Wu, Wei Xu, Ying Zhang and Yimin Wei, A preconditioned conjugate gradient algorithm for GeneRank with application to microarray data mining, Data Mining and Knowledge Discovery, 26: 27--56, 2013.
Gang Wu, Ying Zhang and Yimin Wei, Accelerating the Arnoldi-type algorithm for the PageRank problem and the ProteinRank problem. Journal of Scientific Computing, 57: 74--104, 2013.
Gang Wu, Yimin Wei, Zhigang Jia, Sitao Ling and Lu Zhang, Towards backward error bounds for approximate dual Krylov subspaces, BIT Numerical Mathematics, 53: 225–239, 2013.
2012
Gang Wu, Yanchun Wang and Xiaoqing Jin, A preconditioned and shifted GMRES algorithm for the PageRank problem with multiple damping factors, SIAM Journal on Scientific Computing, 34, A2558--A2575, 2012.
2010
Gang Wu, Yimin Wei. On analysis of projection methods for rational function approximation to the matrix exponential, SIAM Journal on Numerical Analysis, 48: 191--197, 2010.
Gang Wu, Yimin Wei, Arnoldi versus GMRES for computing PageRank: A theoretical contribution to Google’s PageRank Problem. ACM Transactions on Information Systems, 28, Article 11: 1--28, 2010.
Gang Wu, Ying Zhang, Yimin Wei, Krylov subspace algorithms for computing GeneRank for the analysis of microarray data mining. Journal of Computational Biology, 17: 631--646, 2010.
2008
Gang Wu, Yimin Wei, Comments on Jordan canonical form of the Google matrix. SIAM Journal on Matrix Analysis and Applications, 30: 364--374, 2008.
2007
Gang Wu, Yimin Wei, A Power-Arnoldi algorithm for computing PageRank. Numerical Linear Algebra with Applications, 14: 521--546, 2007.
2006
Gang Wu, A dynamic thick restarted semi-refined ABLE algorithm for computing a few selected eigentriplets of large nonsymmetric matrices. Linear Algebra and its Applications, 416: 313--335, 2006.
研究團隊:
在讀研究生:
博士生:郭永燕;顧穎;豐博;李珂;
碩士生:張啟元、王召勇、李炳谕、曲志璇、李夏昕;李順昌、張宇、王秋茹、李豔豔;黃俊、常喬、楊文;
已畢業學生:
博士生:時文雅(常州大學阿裡雲大數據學院)、王雲傑(江蘇師範大學科文學院);
碩士生:郭永燕(碩博連讀)、彭可可(上海市浦發銀行);龐文娆(上海人工智能創新中心)、楊佳麗(興業銀行股份有限公司西安分行);豐博(碩博連讀);劉靜(南京銀行總行)、景圓倩(蘇州銀行);李珂(碩博連讀)、江宇同(中國建設銀行徐州分行)、李斐(上海市浦發銀行)、王健健(江蘇省昆山開發區兵希小學);陸迎弟(江蘇省運河中學);馮亭亭(華東師大讀博,現任職于杭州電子科技大學)、許婷婷(江蘇大學靖江學院);田娟娟、張立家、袁枚;張露(澳門大學讀博,現任職于徐州工程學院)、冷歡;王豔春、孫江麗;王建(徐州開放大學)、張鳳勳、劉文傑;仲紅秀(華東師大讀博,現任職于江南大學)、于慶(徐州師範學校)、姜薇