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Heuristic Implementation of Dynamic Programming for Matrix Permutation Problems in Combinatorial Data Analysis

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  • Michael Brusco
  • Hans-Friedrich Köhn
  • Stephanie Stahl

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  • Michael Brusco & Hans-Friedrich Köhn & Stephanie Stahl, 2008. "Heuristic Implementation of Dynamic Programming for Matrix Permutation Problems in Combinatorial Data Analysis," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 503-522, September.
    • Handle: RePEc:spr:psycho:v:73:y:2008:i:3:p:503-522
    DOI: 10.1007/s11336-007-9049-5
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    1. Patrick Groenen & Willem Heiser, 1996. "The tunneling method for global optimization in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 529-550, September.
    2. J. M. Blin & A. B. Whinston, 1974. "Note--A Note on Majority Rule under Transitivity Constraints," Management Science, INFORMS, vol. 20(11), pages 1439-1440, July.
    3. Manuel Laguna & Fred Glover, 1993. "Bandwidth Packing: A Tabu Search Approach," Management Science, INFORMS, vol. 39(4), pages 492-500, April.
    4. Alex Murillo & J. Fernando Vera & Willem J. Heiser, 2005. "A Permutation-Translation Simulated Annealing Algorithm for L 1 and L 2 Unidimensional Scaling," Journal of Classification, Springer;The Classification Society, vol. 22(1), pages 119-138, June.
    5. Vadim Pliner, 1996. "Metric unidimensional scaling and global optimization," Journal of Classification, Springer;The Classification Society, vol. 13(1), pages 3-18, March.
    6. V. J. Bowman & C. S. Colantoni, 1973. "Majority Rule Under Transitivity Constraints," Management Science, INFORMS, vol. 19(9), pages 1029-1041, May.
    7. Lawrence Hubert & Phipps Arabie & Jacqueline Meulman, 1998. "Graph-theoretic representations for proximity matrices through strongly-anti-Robinson or circular strongly-anti-Robinson matrices," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 341-358, December.
    8. Michael J. Brusco, 2006. "On the Performance of Simulated Annealing for Large-Scale L 2 Unidimensional Scaling," Journal of Classification, Springer;The Classification Society, vol. 23(2), pages 255-268, September.
    9. Michael Brusco & Stephanie Stahl, 2005. "Optimal Least-Squares Unidimensional Scaling: Improved Branch-and-Bound Procedures and Comparison to Dynamic Programming," Psychometrika, Springer;The Psychometric Society, vol. 70(2), pages 253-270, June.
    10. L. Hubert & R. Golledge, 1981. "Matrix reorganization and dynamic programming: Applications to paired comparisons and unidimensional seriation," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 429-441, December.
    11. P. J. F. Groenen & W. J. Heiser & J. J. Meulman, 1999. "Global Optimization in Least-Squares Multidimensional Scaling by Distance Smoothing," Journal of Classification, Springer;The Classification Society, vol. 16(2), pages 225-254, July.
    12. Howe, Eric C, 1991. "A More Powerful Method for Triangularizing Input-Output Matrices: A Comment," Econometrica, Econometric Society, vol. 59(2), pages 521-523, March.
    13. Fukui, Yukio, 1986. "A More Powerful Method for Triangularizing Input-Output Matrices and the Similarity of Production Structures," Econometrica, Econometric Society, vol. 54(6), pages 1425-1433, November.
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    Cited by:

    1. Jose Apesteguia & Miguel A. Ballester, 2015. "A Measure of Rationality and Welfare," Journal of Political Economy, University of Chicago Press, vol. 123(6), pages 1278-1310.
    2. Michael Brusco & Hans-Friedrich Köhn, 2009. "Exemplar-Based Clustering via Simulated Annealing," Psychometrika, Springer;The Psychometric Society, vol. 74(3), pages 457-475, September.
    3. Michael J. Brusco & Douglas Steinley & Ashley L. Watts, 2022. "Disentangling relationships in symptom networks using matrix permutation methods," Psychometrika, Springer;The Psychometric Society, vol. 87(1), pages 133-155, March.
    4. Köhn, Hans-Friedrich, 2010. "Representation of individual differences in rectangular proximity data through anti-Q matrix decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2343-2357, October.
    5. Hahsler, Michael, 2017. "An experimental comparison of seriation methods for one-mode two-way data," European Journal of Operational Research, Elsevier, vol. 257(1), pages 133-143.
    6. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.

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