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Volumn 34, Issue 1, 2012, Pages 158-173

Angular embedding: A Robust Quadratic Criterion

Author keywords

clustering; constrained optimization; graph algorithms; Least squares methods; linear programming; modeling and recovery of physical attributes; spectral methods; statistical computing

Indexed keywords

CLUSTERING; GRAPH ALGORITHMS; LEAST SQUARES METHODS; SPECTRAL METHODS; STATISTICAL COMPUTING;

EID: 81855190912     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2011.107     Document Type: Article
Times cited : (44)

References (67)
  • 1
    • 49449122896 scopus 로고
    • A scaling method for priorities in hierarchical structures
    • T.L. Saaty, "A Scaling Method for Priorities in Hierarchical Structures," J. Math. Psychology, vol. 15, pp. 234-281, 1977.
    • (1977) J. Math. Psychology , vol.15 , pp. 234-281
    • Saaty, T.L.1
  • 2
    • 48549108692 scopus 로고
    • Inconsistency and rank preservation
    • T.L. Saaty and L.G. Vargas, "Inconsistency and Rank Preservation," J. Math. Psychology, vol. 28, pp. 205-214, 1984.
    • (1984) J. Math. Psychology , vol.28 , pp. 205-214
    • Saaty, T.L.1    Vargas, L.G.2
  • 3
    • 59149098939 scopus 로고    scopus 로고
    • An essay on rank preservation and reversal
    • T.L. Saaty and M. Sagir, "An Essay on Rank Preservation and Reversal," Math. and Computer Modelling, vol. 49, pp. 1230-1243, 2009.
    • (2009) Math. and Computer Modelling , vol.49 , pp. 1230-1243
    • Saaty, T.L.1    Sagir, M.2
  • 4
    • 0000163787 scopus 로고    scopus 로고
    • The possibility of social choice
    • A. Sen, "The Possibility of Social Choice," The Am. Economic Rev., vol. 89, no. 3, pp. 349-378, 1999.
    • (1999) The Am. Economic Rev. , vol.89 , Issue.3 , pp. 349-378
    • Sen, A.1
  • 5
    • 81855171481 scopus 로고    scopus 로고
    • A matrix approach to asset pricing in foreign exchange market
    • M. Ma, "A Matrix Approach to Asset Pricing in Foreign Exchange Market," Social Science Research Network, http://ssrn.com/abstract=921755, 2006.
    • (2006) Social Science Research Network
    • Ma, M.1
  • 6
    • 0000759450 scopus 로고
    • Remarks on the method of paired comparisons: I. The least squares solution assuming equal standard deviations and equal correlations
    • F. Mosteller, "Remarks on the Method of Paired Comparisons: I. The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations," Psychometrika, vol. 16, no. 1, pp. 3-9, 1951.
    • (1951) Psychometrika , vol.16 , Issue.1 , pp. 3-9
    • Mosteller, F.1
  • 7
    • 34250912153 scopus 로고
    • Remarks on the method of paired comparisons: II. The effect of an aberrant standard deviation when equal standard deviations and equal correlations are assumed
    • F. Mosteller, "Remarks on the Method of Paired Comparisons: II. The Effect of an Aberrant Standard Deviation When Equal Standard Deviations and Equal Correlations Are Assumed," Psychometrika, vol. 16, no. 2, pp. 203-206, 1951.
    • (1951) Psychometrika , vol.16 , Issue.2 , pp. 203-206
    • Mosteller, F.1
  • 8
    • 34250924117 scopus 로고
    • Remarks on the method of paired comparisons: III. A test of significance for paired comparisons when equal standard deviations and equal correlations are assumed
    • F. Mosteller, "Remarks on the Method of Paired Comparisons: III. A Test of Significance for Paired Comparisons When Equal Standard Deviations and Equal Correlations Are Assumed," Psychometrika, vol. 16, no. 2, pp. 207-218, 1951.
    • (1951) Psychometrika , vol.16 , Issue.2 , pp. 207-218
    • Mosteller, F.1
  • 9
    • 0000813623 scopus 로고
    • A generalization of spectral analysis with application to ranked data
    • P. Diaconis, "A Generalization of Spectral Analysis with Application to Ranked Data," The Annals of Statistics, vol. 17, no. 3, pp. 949-979, 1989.
    • (1989) The Annals of Statistics , vol.17 , Issue.3 , pp. 949-979
    • Diaconis, P.1
  • 10
    • 79952775325 scopus 로고    scopus 로고
    • Statistical ranking and combinatorial hodge theory
    • X. Jiang, L.H. Lim, Y. Yao, and Y. Ye, "Statistical Ranking and Combinatorial Hodge Theory," Math. Programming, vol. 127, no. 1, pp. 203-244, 2011.
    • (2011) Math. Programming , vol.127 , Issue.1 , pp. 203-244
    • Jiang, X.1    Lim, L.H.2    Yao, Y.3    Ye, Y.4
  • 14
    • 49749086487 scopus 로고    scopus 로고
    • Scalable collabroative filtering with jointly derived neighbourhood interpolation weights
    • R.M. Bell and Y. Koren, "Scalable Collabroative Filtering with Jointly Derived Neighbourhood Interpolation Weights," Proc. Int'l Conf. Machine Learning, 2007.
    • (2007) Proc. Int'l Conf. Machine Learning
    • Bell, R.M.1    Koren, Y.2
  • 16
    • 33646030944 scopus 로고    scopus 로고
    • Removing photography artifacts using gradient projection and Flash-Exposure sampling
    • A. Agrawal, R. Raskar, S. Nayar, and Y. Li, "Removing Photography Artifacts Using Gradient Projection and Flash-Exposure Sampling," ACM Trans. Graphics, vol. 24, pp. 828-835, 2005.
    • (2005) ACM Trans. Graphics , vol.24 , pp. 828-835
    • Agrawal, A.1    Raskar, R.2    Nayar, S.3    Li, Y.4
  • 18
    • 81855160624 scopus 로고    scopus 로고
    • Simultaneous segmentation and figure-ground organization using angular embedding
    • M. Maire, "Simultaneous Segmentation and Figure-Ground Organization Using Angular Embedding," Proc. European Conf. Computer Vision, 2010.
    • (2010) Proc. European Conf. Computer Vision
    • Maire, M.1
  • 21
    • 77953830606 scopus 로고    scopus 로고
    • Gradient domain high dynamic range compression
    • R. Fattal, D. Lischinski, and M. Werman, "Gradient Domain High Dynamic Range Compression," ACM Trans. Graphics, vol. 21, pp. 249-256, 2002.
    • (2002) ACM Trans. Graphics , vol.21 , pp. 249-256
    • Fattal, R.1    Lischinski, D.2    Werman, M.3
  • 27
    • 33645699091 scopus 로고    scopus 로고
    • Shapelets correlated with surface normals produce surfaces
    • P. Kovesi, "Shapelets Correlated with Surface Normals Produce Surfaces," Proc. IEEE Int'l Conf. Computer Vision, 2005.
    • (2005) Proc. IEEE Int'l Conf. Computer Vision
    • Kovesi, P.1
  • 28
    • 0025430746 scopus 로고
    • Direct analytical methods for solving Poisson equations in computer vision problems
    • DOI 10.1109/34.55103
    • T. Simchony, R. Chellappa, and M. Shao, "Direct Analytical Methods for Solving Poisson Equations in Computer Vision Problems," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 12, no. 5 pp. 435-446, May 1990. (Pubitemid 20702886)
    • (1990) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.12 , Issue.5 , pp. 435-446
    • Simchony Tal1    Chellappa Rama2    Shao, M.3
  • 30
    • 0035363672 scopus 로고    scopus 로고
    • From few to many: Illumination cone models for face recognition under variable lighting and pose
    • DOI 10.1109/34.927464
    • A.S. Georghiades, P.N. Belhumeur, and D.J. Kriegman, "From Few to Many: Illumination Cone Models for Face Recognition under Variable Lighting and Pose," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 23, no. 6, pp. 643-660, June 2001. (Pubitemid 32585276)
    • (2001) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.23 , Issue.6 , pp. 643-660
    • Georghiades, A.S.1    Belhumeur, P.N.2    Kriegman, D.J.3
  • 32
    • 34249825770 scopus 로고    scopus 로고
    • Overview of total least-squares methods
    • DOI 10.1016/j.sigpro.2007.04.004, PII S0165168407001405, Total Least Squares and Errors-in-Variables Modeling
    • I. Markovsky and S.V. Huffel, "Overview of Total Least Squares Methods," Signal Processing, vol. 87, pp. 2283-2302, 2007. (Pubitemid 46855921)
    • (2007) Signal Processing , vol.87 , Issue.10 , pp. 2283-2302
    • Markovsky, I.1    Van Huffel, S.2
  • 34
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • DOI 10.1126/science.290.5500.2323
    • S. Roweis and L. Saul, "Nonlinear Dimensionality Reduction by Locally Linear Embedding," Science, vol. 290, pp. 2323-2326, 2000. (Pubitemid 32041578)
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Roweis, S.T.1    Saul, L.K.2
  • 39
    • 70350450643 scopus 로고    scopus 로고
    • Diffusion interpretation of nonlocal neighbourhood filters for signal denoising
    • A. Singer, Y. Shkolnisky, and B. Nadler, "Diffusion Interpretation of Nonlocal Neighbourhood Filters for Signal Denoising," SIAM J. Imaging Sciences, vol. 2, no. 1, pp. 118-139, 2009.
    • (2009) SIAM J. Imaging Sciences , vol.2 , Issue.1 , pp. 118-139
    • Singer, A.1    Shkolnisky, Y.2    Nadler, B.3
  • 41
    • 4544280485 scopus 로고    scopus 로고
    • Nearly-Linear time algorithms for graph partitioning, graph sparsification, and solving linear systems
    • D.A. Spielman and S. Teng, "Nearly-Linear Time Algorithms for Graph Partitioning, Graph Sparsification, and Solving Linear Systems," Proc. Ann. ACM Symp. Theory of Computing, 2004.
    • (2004) Proc. Ann. ACM Symp. Theory of Computing
    • Spielman, D.A.1    Teng, S.2
  • 42
    • 0043178250 scopus 로고
    • Estimating the largest eigenvalue by the power and lanczos algorithms with a random start
    • J. Kuczynski and H. Wozniakowski, "Estimating the Largest Eigenvalue by the Power and Lanczos Algorithms with a Random Start," SIAM J. Matrix Analysis and Applications, vol. 13, no. 4, pp. 1094-1122, 1992.
    • (1992) SIAM J. Matrix Analysis and Applications , vol.13 , Issue.4 , pp. 1094-1122
    • Kuczynski, J.1    Wozniakowski, H.2
  • 43
    • 21844490598 scopus 로고
    • Bounded-Variable least squares: An algorithm and applications
    • P.B. Stark and R.L. Parker, "Bounded-Variable Least Squares: An Algorithm and Applications," Computational Statistics, vol. 10, pp. 129-141, 1995.
    • (1995) Computational Statistics , vol.10 , pp. 129-141
    • Stark, P.B.1    Parker, R.L.2
  • 45
    • 13544250158 scopus 로고    scopus 로고
    • Identifying vector fields singularities using a discrete hodge decomposition
    • Springer
    • K. Polthier and E. Preuss, "Identifying Vector Fields Singularities Using a Discrete Hodge Decomposition," Visualization and Math. III, Springer 2003.
    • (2003) Visualization and Math. III
    • Polthier, K.1    Preuss, E.2
  • 46
    • 13544263205 scopus 로고    scopus 로고
    • Efficient Hodge-Helmholtz decomposition of motion fields
    • DOI 10.1016/j.patrec.2004.08.008, PII S0167865504001886, ICARP 2003
    • Q. Guo, M.K. Mandal, and M.Y. Li, "Efficient Hodge-Helmholtz Decomposition of Motion Fields," Pattern Recognition Letters, vol. 26, pp. 493-501, 2005. (Pubitemid 40220144)
    • (2005) Pattern Recognition Letters , vol.26 , Issue.4 , pp. 493-501
    • Guo, Q.1    Mandal, M.K.2    Li, M.Y.3
  • 47
    • 70349973854 scopus 로고    scopus 로고
    • Discrete multiscale vector field decomposition
    • Y. Tong, S. Lombeyda, A.N. Hirani, and M. Desbrun, "Discrete Multiscale Vector Field Decomposition," ACM Trans. Graphics, vol. 22, no. 3, pp. 445-452, 2003.
    • (2003) ACM Trans. Graphics , vol.22 , Issue.3 , pp. 445-452
    • Tong, Y.1    Lombeyda, S.2    Hirani, A.N.3    Desbrun, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.