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Optimal Least-Squares Unidimensional Scaling: Improved Branch-and-Bound Procedures and Comparison to Dynamic Programming

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  • Michael Brusco
  • Stephanie Stahl

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  • 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.
    • Handle: RePEc:spr:psycho:v:70:y:2005:i:2:p:253-270
    DOI: 10.1007/s11336-002-1032-6
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    References listed on IDEAS

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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. Vadim Pliner, 1996. "Metric unidimensional scaling and global optimization," Journal of Classification, Springer;The Classification Society, vol. 13(1), pages 3-18, March.
    3. 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.
    4. 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.
    5. Michael Brusco, 2002. "A branch-and-bound algorithm for fitting anti-robinson structures to symmetric dissimilarity matrices," Psychometrika, Springer;The Psychometric Society, vol. 67(3), pages 459-471, September.
    6. 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.
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    Cited by:

    1. Michael Brusco & Renu Singh & Douglas Steinley, 2009. "Variable Neighborhood Search Heuristics for Selecting a Subset of Variables in Principal Component Analysis," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 705-726, December.
    2. 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.
    3. Michael Brusco & Douglas Steinley, 2011. "A Tabu-Search Heuristic for Deterministic Two-Mode Blockmodeling of Binary Network Matrices," Psychometrika, Springer;The Psychometric Society, vol. 76(4), pages 612-633, October.
    4. 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.
    5. Dorit S. Hochbaum & Erick Moreno-Centeno & Phillip Yelland & Rodolfo A. Catena, 2011. "Rating Customers According to Their Promptness to Adopt New Products," Operations Research, INFORMS, vol. 59(5), pages 1171-1183, October.
    6. Michael Brusco & Patrick Doreian, 2015. "An Exact Algorithm for the Two-Mode KL-Means Partitioning Problem," Journal of Classification, Springer;The Classification Society, vol. 32(3), pages 481-515, October.

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