Computer Science ›› 2018, Vol. 45 ›› Issue (1): 108-112.doi: 10.11896/j.issn.1002-137X.2018.01.017
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WU Lu-hui, LI Fan-zhang and ZHANG Li
[1] 王珏,周志华,周傲英.机器学习及其应用[M].北京:清华大学出版社,2006. [2] MURPHY K P.Machine Learning:A Probabilistic Perspective [M].The MIT Press,2012. [3] WANG S J.Bionic (Topological) Pattern Recognition-ANew Model of Pattern Recognition Theory and Its Applications[J].Tien Tzu Hsueh Paoacta Electronica Sinica,2002,30(10):1417-1420. [4] ZHANG L,ZHANG B.A geometrical representation of McCulloch-Pitts neural model and its applications [J].IEEE Transactions on Neural Networks,1999,10(4):925-929. [5] ZHANG Y P,ZHANG L,DUAN Z,et al.A Constructive Kernel Covering Algorithm and Applying It to Image Recognition [J].Journal of Image & Graphics,2004,9(11):1304-1308. [6] GUAN W W,LI F Z.Research on Covering Algorithm of Lie Group Machine Learning and Its Application[D].Suzhou:Suzhou University,2009.(in Chinese) 管文文,李凡长.李群机器学习的覆盖算法及其应用研究[D].苏州:苏州大学,2009. [7] YAN C,LI F Z,ZOU P.Application of Multiply Connected Lie Group Learning Algorithm in Image Classification[J].Journal of Frontiers of Computer Science & Technology,2014,8(9):1101-1112.(in Chinese) 严晨,李凡长,邹鹏.多连通李群覆盖学习算法在图像分类上的应用[J].计算机科学与探索,2014,8(9):1101-1112. [8] YAN C,LI F Z.Path Optimization Algorithm for CoveringLearning [J].Journal of Software,2015,26(11):2781-2794.(in Chinese) 严晨,李凡长.覆盖学习的道路优化算法[J].软件学报,2015,26(11):2781-2794. [9] WU L H,LI F Z.Application of Multiply Lie Group Kernel Covering Learning Algorithm in Image Classification[J].Journal of Frontiers of Computer Science & Technology,2016,10(12):1737-1743.(in Chinese) 吴鲁辉,李凡长.多李群核覆盖学习算法在图像分类上的应用 [J].计算机科学与探索,2016,10(12):1737-1743. [10] CHEVALLEY C.Theory of Lie groups [M].Theory of Lie Groups,Princeton University Press,1946. [11] ISERLES A,MUNTHE-KAAS H Z,N RSETT S P,et al.Lie-group methods[J].Acta Numerica,2000,9(2):215-365. [12] WOLF J A,GRAY A.Homogeneous spaces defined by Liegroup automorphisms[J].Journal of Differential Geometry,1968,2(1/2):77-159. [13] BAKER A.Matrix groups:An introduction to Lie group theory [J].American Mathematical Monthly,2002,0(5):446. [14] BARTELS A,FARRELL F,LüCK W.The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups [J].Journal of the American Mathematical Society,2014,27(2):339-388. [15] DA SILVA A,SANTANA A J, STELMASTCHUK S N.Conjugation of linear vector fields on Lie groups[J].arXiv preprint arXiv:1602.08468,2016. [16] KNUDBY S.On connected Lie groups and the Approximation Property [J].Comptes Rendus Mathematique,2016,354(7):697-699. [17] VARADARJAN V S.Lie groups,Lie algebras,and their representations [M].Springer Science & Business Media,2013. [18] WHITEHEAD G W.Elements of homotopy theory[M].Spri-nger Science & Business Media,2012. [19] ANDERSON D R,MUNKHOLM H J.Boundedly controlled topology:foundations of algebraic topology and simple homotopy theory[M].Springer,2006. [20] JACKOWSKI S,MCCLURE J,OLIVER B.Homotopy Theory of Classifying Spaces of Compact Lie Groups[M].Springer New Work,1994:81-123. [21] BIRMAN J S.Braids,Links,and Mapping Class Groups [M].Princeton University Press,2016. [22] WIESER A,VRANA P.Basics of Lie Theory [R].roseminar Conformal Field Theory and Strings.ETHZ,2013. [23] XU B G,ZHA X Y.Thickness and Outerthickness for Embedded Graphs [J].Mathematics,arXiv:1512.04995v1,5. [24] YAN S,XU D,ZHANG B,et al.Graph embedding and extensions:a general framework for dimensionality reduction [J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2007,29(1):40-51. [25] XU C,LU C,GAO J,et al.Discriminative Analysis for Symmetric Positive Definite Matrices on Lie Groups [J].IEEE Transactions on Circuits & Systems for Video Technology,2015,25(10):1576-1585. |
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