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Volumn 118, Issue 1-2, 2002, Pages 115-143

The MIN PFS problem and piecewise linear model estimation

Author keywords

Feasible subsystems; Infeasible linear systems; Minimum partition; Piecewise linear model estimation; Relaxation methods

Indexed keywords


EID: 84867956834     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(01)00260-8     Document Type: Article
Times cited : (46)

References (44)
  • 2
    • 0000026159 scopus 로고
    • The relaxation method for linear inequalities
    • S. Agmon The relaxation method for linear inequalities Canadian J. Math. 6 1954 382 392
    • (1954) Canadian J. Math. , vol.6 , pp. 382-392
    • Agmon, S.1
  • 4
    • 27644505687 scopus 로고    scopus 로고
    • Randomized relaxation methods for the maximum feasible subsystem problem
    • DEI, Politecnico di Milano, Italy
    • E. Amaldi, R. Hauser, Randomized relaxation methods for the maximum feasible subsystem problem, Technical Report, N. 2001-90, DEI, Politecnico di Milano, Italy, 2001.
    • (2001) Technical Report, N. 2001-90
    • Amaldi, E.1    Hauser, R.2
  • 5
    • 0029638653 scopus 로고
    • The complexity and approximability of finding maximum feasible subsystems of linear relations
    • E. Amaldi, and V. Kann The complexity and approximability of finding maximum feasible subsystems of linear relations Theoret. Comput. Sci. 147 1-2 1995 181 210
    • (1995) Theoret. Comput. Sci. , vol.147 , Issue.12 , pp. 181-210
    • Amaldi, E.1    Kann, V.2
  • 6
    • 84949955695 scopus 로고    scopus 로고
    • A combinatorial optimization approach to extract piecewise linear structure from non-linear data and an application to optical flow segmentation
    • Cornell Computational Optimization project, Cornell University, Ithaca NY
    • E. Amaldi, M. Mattavelli, A combinatorial optimization approach to extract piecewise linear structure from non-linear data and an application to optical flow segmentation, Technical Report 97-12, Cornell Computational Optimization project, Cornell University, Ithaca NY, 1997.
    • (1997) Technical Report 97-12
    • Amaldi, E.1    Mattavelli, M.2
  • 7
    • 84948977621 scopus 로고    scopus 로고
    • Some structural and algorithmic properties of the maximum feasible subsystem problem
    • G. Cornuéjols, R. Burkard, G. Woeginger, Lecture Notes in Computer Science Springer Berlin
    • E. Amaldi, M. Pfetsch, and L. Trotter Jr. Some structural and algorithmic properties of the maximum feasible subsystem problem G. Cornuéjols, R. Burkard, G. Woeginger, Proceeding of the 10th Integer Programming and Combinatorial Optimization conference (IPCO'99) Lecture Notes in Computer Science Vol. 1610 1999 Springer Berlin 45 59
    • (1999) Proceeding of the 10th Integer Programming and Combinatorial Optimization Conference (IPCO'99) , vol.1610 VOL. , pp. 45-59
    • Amaldi, E.1    Pfetsch, M.2    Trotter, Jr.L.3
  • 12
    • 0346452791 scopus 로고    scopus 로고
    • Fast heuristics for the maximum feasible subsystem problem
    • J. Chinneck Fast heuristics for the maximum feasible subsystem problem INFORMS J. Comput. 13 2001 210 213
    • (2001) INFORMS J. Comput. , vol.13 , pp. 210-213
    • Chinneck, J.1
  • 13
    • 0007133880 scopus 로고
    • A "thermal" perceptron learning rule
    • M. Frean A "thermal" perceptron learning rule Neural Comput. 4 6 1992 946 957
    • (1992) Neural Comput. , vol.4 , Issue.6 , pp. 946-957
    • Frean, M.1
  • 15
    • 0019049551 scopus 로고
    • Relaxation method for solving systems of linear inequalities
    • J.L. Goffin The relaxation method for solving systems of linear inequalities Math. Oper. Res. 5 1980 388 414 (Pubitemid 11438184)
    • (1980) Mathematics of Operations Research , vol.5 , Issue.3 , pp. 388-414
    • Goffin, J.L.1
  • 17
    • 0000950204 scopus 로고    scopus 로고
    • Clustering analysis and mathematical programming
    • P. Hansen, and B. Jaumard Clustering analysis and mathematical programming Math. Programming B 79 1997 191 216
    • (1997) Math. Programming B , vol.79 , pp. 191-216
    • Hansen, P.1    Jaumard, B.2
  • 20
    • 0025489075 scopus 로고
    • The self organizing map
    • T. Kohonen The self organizing map Proc. IEEE 78 1990 1464 1480
    • (1990) Proc. IEEE , vol.78 , pp. 1464-1480
    • Kohonen, T.1
  • 21
    • 33747992562 scopus 로고
    • A new curve detection method: Randomized Hough transform
    • P. Kultaken, L. Xu, and E. Oja A new curve detection method: randomized Hough transform Pattern Recognition Lett. 11 1995 331 338
    • (1995) Pattern Recognition Lett. , vol.11 , pp. 331-338
    • Kultaken, P.1    Xu, L.2    Oja, E.3
  • 22
    • 43949164163 scopus 로고
    • Which Hough transform?
    • V.F. Leavers Which Hough transform? CVGIP: Image Understanding 58 2 1993 250 264 (Pubitemid 24395437)
    • (1993) CVGIP: Image Understanding , vol.58 , Issue.2 , pp. 250-264
    • Leavers, V.F.1
  • 23
    • 0038513682 scopus 로고    scopus 로고
    • Planning implants of radionuclides for the treatment of prostate cancer: An application of mixed integer programming
    • E.K. Lee, R.J. Gallagher, and M. Zaider Planning implants of radionuclides for the treatment of prostate cancer: an application of mixed integer programming Optima 61 1999 1 7
    • (1999) Optima , vol.61 , pp. 1-7
    • Lee, E.K.1    Gallagher, R.J.2    Zaider, M.3
  • 24
    • 0001509691 scopus 로고
    • Misclassification minimization
    • O.L. Mangasarian Misclassification minimization J. Global Optim. 5 1994 309 323
    • (1994) J. Global Optim. , vol.5 , pp. 309-323
    • Mangasarian, O.L.1
  • 26
    • 84867998642 scopus 로고    scopus 로고
    • A new efficient line detection algorithm based on combinatorial optimization techniques
    • Chicago, Illinois, October 4-7 1998, IEEE Signal Processing Society
    • M. Mattavelli, V. Noel, E. Amaldi, A new efficient line detection algorithm based on combinatorial optimization techniques, Proceedings of the 1998 International Conference on Image Processing (ICIP98), Chicago, Illinois, October 4-7 1998, IEEE Signal Processing Society.
    • Proceedings of the 1998 International Conference on Image Processing (ICIP98)
    • Mattavelli, M.1    Noel, V.2    Amaldi, E.3
  • 28
    • 34247106638 scopus 로고    scopus 로고
    • Fast Line Detection Algorithms Based on Combinatorial Optimization
    • Visual Form 2001 4th International Workshop on Visual Form, IWVF4
    • M. Mattavelli, V. Noel, E. Amaldi, Fast line detection algorithms based on combinatorial optimization, Proceedings of the 4th International Workshop on Visual Form (IWVF4), Capri, Italy, Lecture Notes in Computer Science, eds. C. Arcelli and L.P. Cordella and G. Sanniti di Baja, Springer, Berlin, 2001, pp. 410-419. (Pubitemid 33276045)
    • (2001) Lecture Notes In Computer Science , Issue.2059 , pp. 410-419
    • Mattavelli, M.1    Noel, V.2    Amaldi, E.3
  • 30
    • 0000026160 scopus 로고
    • The relaxation method for linear inequalities
    • T.S. Motzkin, and I.J. Schoenberg The relaxation method for linear inequalities Canadian J. Math. 6 1954 393 404
    • (1954) Canadian J. Math. , vol.6 , pp. 393-404
    • Motzkin, T.S.1    Schoenberg, I.J.2
  • 31
    • 52149107555 scopus 로고
    • Houghtool a software package for Hough transform calculation
    • Uppsala, Sweden
    • E. Oja, H. Kalviainen, P. Hirvonen, Houghtool a software package for Hough transform calculation, Ninth Scandinavian Conference on Image Analysis, Uppsala, Sweden, 1995, pp. 841-848, http://www.lut.fi/dep/tite/XHoughtool/ xhoughtool.html.
    • (1995) Ninth Scandinavian Conference on Image Analysis , pp. 841-848
    • Oja, E.1    Kalviainen, H.2    Hirvonen, P.3
  • 32
    • 0027838805 scopus 로고
    • A Hough transform algorithm with a 2D hypothesis testing kernel
    • P. Palmer, M. Petrou, J. Kittler, A Hough transform algorithm with a 2-D hypothesis testing kernel, CVGIP 58(2)(Image Understanding) (1993) 221-234. (Pubitemid 24395438)
    • (1993) CVGIP: Image Understanding , vol.58 , Issue.2 , pp. 221-234
    • Palmer, P.L.1    Petrou, M.2    Kittler, J.3
  • 34
    • 0242294539 scopus 로고    scopus 로고
    • Random algorithms for solving convex inequalities
    • D. Butnariu, Y. Censor, S. Reich, Studies in Computational Mathematics Elsevier Amsterdam
    • B.T. Polyak Random algorithms for solving convex inequalities D. Butnariu, Y. Censor, S. Reich, Inherently Parallel Algorithms in Feasibility and Other Applications Studies in Computational Mathematics 2001 Elsevier Amsterdam
    • (2001) Inherently Parallel Algorithms in Feasibility and Other Applications
    • Polyak, B.T.1
  • 37
    • 4243103574 scopus 로고
    • Transversals of IIS-hypergraphs
    • J. Ryan Transversals of IIS-hypergraphs Congr. Numer. 81 1991 17 22
    • (1991) Congr. Numer. , vol.81 , pp. 17-22
    • Ryan, J.1
  • 38
    • 0020087678 scopus 로고
    • On relaxation methods for systems of linear inequalities
    • DOI 10.1016/0377-2217(82)90071-6
    • J. Telgen On relaxation methods for systems of linear inequalities European J. Oper. Res. 9 1982 184 189 (Pubitemid 12500623)
    • (1982) European Journal of Operational Research , vol.9 , Issue.2 , pp. 184-189
    • Telgen Jan1
  • 42
    • 84867998643 scopus 로고    scopus 로고
    • A new approach to piecewise linear modeling based on a combinatorial optimization formulation
    • under revision
    • J.-M. Vesin, M. Mattavelli, E. Amaldi, A new approach to piecewise linear modeling based on a combinatorial optimization formulation, Physica D, under revision.
    • Physica D
    • Vesin, J.-M.1    Mattavelli, M.2    Amaldi, E.3
  • 43
    • 33747992562 scopus 로고
    • A new curve detection method: Randomized Hough transform
    • L. Xu, E. Oja, and P. Kultanen A new curve detection method: randomized Hough transform Pattern Recognition Lett. 11 5 1990 334 344
    • (1990) Pattern Recognition Lett. , vol.11 , Issue.5 , pp. 334-344
    • Xu, L.1    Oja, E.2    Kultanen, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.