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Volumn 56, Issue 4, 2009, Pages

Empirical hardness models: Methodology and a case study on combinatorial auctions

Author keywords

Algorithm portfolios; Combinatorial auctions; Empirical analysis of algorithms; Runtime prediction

Indexed keywords

BENCHMARK SUITES; COMBINATORIAL AUCTION; COMBINATORIAL AUCTIONS; EMPIRICAL ANALYSIS OF ALGORITHMS; HARD PROBLEMS; NP COMPLETE PROBLEMS; PROBLEM INSTANCES; RUNNING TIME; RUNTIME PREDICTION; RUNTIMES; SUPERVISED MACHINE LEARNING; WINNER DETERMINATION PROBLEM;

EID: 68549128640     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/1538902.1538906     Document Type: Article
Times cited : (121)

References (84)
  • 1
    • 0034892310 scopus 로고    scopus 로고
    • Lower bounds for random 3-SAT via differential equations
    • ACHLIOPTAS, D. 2001. Lower bounds for random 3-SAT via differential equations. Theoret. Comput. Sci. 265, 1-2, 159-185.
    • (2001) Theoret. Comput. Sci , vol.265 , Issue.1-2 , pp. 159-185
    • ACHLIOPTAS, D.1
  • 2
    • 1842458396 scopus 로고    scopus 로고
    • A sharp threshold in proof complexity yields lower bounds for satisfiability search
    • ACHLIOPTAS, D., BEAME, P., AND MOLLOY, M. 2004. A sharp threshold in proof complexity yields lower bounds for satisfiability search. J. Comput. Syst. Sci. 68, 2, 238-268.
    • (2004) J. Comput. Syst. Sci , vol.68 , Issue.2 , pp. 238-268
    • ACHLIOPTAS, D.1    BEAME, P.2    MOLLOY, M.3
  • 4
    • 31144465450 scopus 로고    scopus 로고
    • Hiding satisfying assignments: Two are better than one
    • ACHLIOPTAS, D., JIA, H., AND MOORE, C. 2005. Hiding satisfying assignments: Two are better than one. J. Artif. Intell. Res. 24, 623-639.
    • (2005) J. Artif. Intell. Res , vol.24 , pp. 623-639
    • ACHLIOPTAS, D.1    JIA, H.2    MOORE, C.3
  • 9
    • 33745197794 scopus 로고    scopus 로고
    • Applying machine learning to low knowledge control of optimization algorithms
    • CARCHRAE, T., AND BECK, J. C. 2005. Applying machine learning to low knowledge control of optimization algorithms. Computat. Intell. 21, 4, 372-387.
    • (2005) Computat. Intell , vol.21 , Issue.4 , pp. 372-387
    • CARCHRAE, T.1    BECK, J.C.2
  • 10
    • 84972528615 scopus 로고
    • Bayesian experimental design: A review
    • CHALONER, K., AND VERDINELLI, I. 1995. Bayesian experimental design: A review. Statist. Sci. 10, 273-304.
    • (1995) Statist. Sci , vol.10 , pp. 273-304
    • CHALONER, K.1    VERDINELLI, I.2
  • 12
    • 2442641940 scopus 로고    scopus 로고
    • Heuristic average-case analysis of the backtrack resolution of random 3-satisfiability instances
    • COCCO, S., AND MONASSON, R. 2004. Heuristic average-case analysis of the backtrack resolution of random 3-satisfiability instances. Theoret. Comput. Sci. 320, 2-3, 345-372.
    • (2004) Theoret. Comput. Sci , vol.320 , Issue.2-3 , pp. 345-372
    • COCCO, S.1    MONASSON, R.2
  • 15
    • 0242550401 scopus 로고    scopus 로고
    • Combinatorial auctions: A survey
    • DE VRIES, S., AND VOHRA, R. 2003. Combinatorial auctions: A survey. INFORMS J. Comput. 15, 3, 284-309.
    • (2003) INFORMS J. Comput , vol.15 , Issue.3 , pp. 284-309
    • DE VRIES, S.1    VOHRA, R.2
  • 18
    • 0001691345 scopus 로고    scopus 로고
    • A general upper bound for the satisfiability threshold of random r-SAT formulae
    • DUBOIS, O., AND BOUFKHAD, Y. 1997. A general upper bound for the satisfiability threshold of random r-SAT formulae. Journal of Algorithms 24, 2, 395-420.
    • (1997) Journal of Algorithms , vol.24 , Issue.2 , pp. 395-420
    • DUBOIS, O.1    BOUFKHAD, Y.2
  • 22
    • 0034882875 scopus 로고    scopus 로고
    • Results related to threshold phenomena research in satisfiability: Lower bounds
    • FRANCO, J. 2001. Results related to threshold phenomena research in satisfiability: Lower bounds. Theoret. Comput. Sci. 265, 1-2, 147-157.
    • (2001) Theoret. Comput. Sci , vol.265 , Issue.1-2 , pp. 147-157
    • FRANCO, J.1
  • 23
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines
    • FRIEDMAN, J. 1991. Multivariate adaptive regression splines. Ann. Stat. 19, 1, 1-141.
    • (1991) Ann. Stat , vol.19 , Issue.1 , pp. 1-141
    • FRIEDMAN, J.1
  • 24
    • 0030371894 scopus 로고    scopus 로고
    • Analysis of two simple heuristics on a random instance of k-SAT
    • FRIEZE, A., AND SUEN, S. 1996. Analysis of two simple heuristics on a random instance of k-SAT. J. Algor. 20, 2, 312-355.
    • (1996) J. Algor , vol.20 , Issue.2 , pp. 312-355
    • FRIEZE, A.1    SUEN, S.2
  • 33
    • 0035250831 scopus 로고    scopus 로고
    • Algorithm portfolios
    • GOMES, C., AND SELMAN, B. 2001. Algorithm portfolios. Artif. Intell. 126, 1-2, 43-62.
    • (2001) Artif. Intell , vol.126 , Issue.1-2 , pp. 43-62
    • GOMES, C.1    SELMAN, B.2
  • 34
    • 0034140167 scopus 로고    scopus 로고
    • Heavy-tailed phenomena in satisfiability and constraint satisfaction problems
    • GOMES, C., SELMAN, B., CRATO, N., AND KAUTZ, H. 2000. Heavy-tailed phenomena in satisfiability and constraint satisfaction problems. J. Automat. Reason. 24, 1-2, 67-100.
    • (2000) J. Automat. Reason , vol.24 , Issue.1-2 , pp. 67-100
    • GOMES, C.1    SELMAN, B.2    CRATO, N.3    KAUTZ, H.4
  • 36
    • 85040831051 scopus 로고    scopus 로고
    • Optimal solutions for multi-unit combinatorial auctions: Branch and bound heuristics
    • ACM, New York
    • GONEN, R., AND LEHMANN, D. 2000. Optimal solutions for multi-unit combinatorial auctions: Branch and bound heuristics. In EC: Proceedings of the ACM Conference on Electronic Commerce. ACM, New York, 13-20.
    • (2000) EC: Proceedings of the ACM Conference on Electronic Commerce , pp. 13-20
    • GONEN, R.1    LEHMANN, D.2
  • 37
    • 23044446604 scopus 로고    scopus 로고
    • Linear programming helps solving large multi-unit combinatorial auctions
    • Tech. Rep. TR-2001-8, Leibniz Center for Research in Computer Science. April
    • GONEN, R., AND LEHMANN, D. 2001. Linear programming helps solving large multi-unit combinatorial auctions. Tech. Rep. TR-2001-8, Leibniz Center for Research in Computer Science. April.
    • (2001)
    • GONEN, R.1    LEHMANN, D.2
  • 38
    • 34548737646 scopus 로고    scopus 로고
    • GUO, H., AND HSU, W. 2007. A machine learning approach to algorithm selection for NP-hard optimization problems. Ann. Oper. Res. 156, 1 (Dec.), 61-82.
    • GUO, H., AND HSU, W. 2007. A machine learning approach to algorithm selection for NP-hard optimization problems. Ann. Oper. Res. 156, 1 (Dec.), 61-82.
  • 41
    • 0033170342 scopus 로고    scopus 로고
    • Towards a characterisation of the behaviour of stochastic local search algorithms for SAT
    • HOOS, H. H., AND STÜTZLE, T. 1999. Towards a characterisation of the behaviour of stochastic local search algorithms for SAT. Artif. Intell. 112, 1-2, 213-232.
    • (1999) Artif. Intell , vol.112 , Issue.1-2 , pp. 213-232
    • HOOS, H.H.1    STÜTZLE, T.2
  • 44
    • 0031035643 scopus 로고    scopus 로고
    • An economics approach to hard computational problems
    • HUBERMAN, B., LUKOSE, R., AND HOGG, T. 1997. An economics approach to hard computational problems. Science 265, 51-54.
    • (1997) Science , vol.265 , pp. 51-54
    • HUBERMAN, B.1    LUKOSE, R.2    HOGG, T.3
  • 45
    • 33750380289 scopus 로고    scopus 로고
    • Performance prediction and automated tuning of randomized and parametric algorithms
    • CP: Proceedings of the International Conference on Principles and Practice of Constraint Programming, Springer-Verlag, Berlin, Germany
    • HUTTER, F., HAMADI, Y., HOOS, H. H., AND LEYTON-BROWN, K. 2006. Performance prediction and automated tuning of randomized and parametric algorithms. In CP: Proceedings of the International Conference on Principles and Practice of Constraint Programming. Lecture Notes in Computer Science, vol. 4204. Springer-Verlag, Berlin, Germany, 213-228.
    • (2006) Lecture Notes in Computer Science , vol.4204 , pp. 213-228
    • HUTTER, F.1    HAMADI, Y.2    HOOS, H.H.3    LEYTON-BROWN, K.4
  • 47
    • 34249014095 scopus 로고    scopus 로고
    • JIA, H., MOORE, C., AND STRAIN, D. 2007. Generating hard satisfiable formulas by hiding solutions deceptively. J. Artif. Intell. Res. 28, 107-118.
    • JIA, H., MOORE, C., AND STRAIN, D. 2007. Generating hard satisfiable formulas by hiding solutions deceptively. J. Artif. Intell. Res. 28, 107-118.
  • 48
    • 84966254647 scopus 로고
    • Estimating the efficiency of backtrack programs
    • KNUTH, D. 1975. Estimating the efficiency of backtrack programs. Math. Comput. 29, 129, 121-136.
    • (1975) Math. Comput , vol.29 , Issue.129 , pp. 121-136
    • KNUTH, D.1
  • 49
    • 0031381525 scopus 로고    scopus 로고
    • Wrappers for feature subset selection
    • KOHAVI, R., AND JOHN, G. 1997. Wrappers for feature subset selection. Artif. Intell. 97, 1-2, 273-324.
    • (1997) Artif. Intell , vol.97 , Issue.1-2 , pp. 273-324
    • KOHAVI, R.1    JOHN, G.2
  • 57
    • 35348987266 scopus 로고    scopus 로고
    • Empirical hardness models for combinatorial auctions
    • MIT Press, Cambridge, Chap. 19, 479-504
    • LEYTON-BROWN, K., NUDELMAN, E., AND SHOHAM, Y. 2006. Empirical hardness models for combinatorial auctions. In Combinatorial Auctions. MIT Press, Cambridge, Chap. 19, 479-504.
    • (2006) Combinatorial Auctions
    • LEYTON-BROWN, K.1    NUDELMAN, E.2    SHOHAM, Y.3
  • 62
    • 0033536221 scopus 로고    scopus 로고
    • Determining computational complexity for characteristic 'phase transitions'
    • MONASSON, R., ZECCHINA, R., KIRKPATRICK, S., SELMAN, B., AND TROYANSKY, L. 1998. Determining computational complexity for characteristic 'phase transitions'. Nature 400, 133-137.
    • (1998) Nature , vol.400 , pp. 133-137
    • MONASSON, R.1    ZECCHINA, R.2    KIRKPATRICK, S.3    SELMAN, B.4    TROYANSKY, L.5
  • 66
    • 0003056605 scopus 로고
    • The algorithm selection problem
    • RICE, J. R. 1976. The algorithm selection problem. Adv. Comput. 15, 65-118.
    • (1976) Adv. Comput , vol.15 , pp. 65-118
    • RICE, J.R.1
  • 67
    • 0032141895 scopus 로고    scopus 로고
    • Computationally manageable combinatorial auctions
    • ROTHKOPF, M., PEKEČ, A., AND HARSTAD, R. 1998. Computationally manageable combinatorial auctions. Manage. Sci. 44, 8, 1131-1147.
    • (1998) Manage. Sci , vol.44 , Issue.8 , pp. 1131-1147
    • ROTHKOPF, M.1    PEKEČ, A.2    HARSTAD, R.3
  • 70
    • 0036467861 scopus 로고    scopus 로고
    • Algorithm for optimal winner determination in combinatorial auctions
    • SANDHOLM, T. 2002. Algorithm for optimal winner determination in combinatorial auctions. Artif. In-tell. 135, 1, 1-54.
    • (2002) Artif. In-tell , vol.135 , Issue.1 , pp. 1-54
    • SANDHOLM, T.1
  • 72
    • 18144420825 scopus 로고    scopus 로고
    • CABOB: A fast optimal algorithm for winner determination in combinatorial auctions
    • SANDHOLM, T., SURI, S., GILPIN, A., AND LEVINE, D. 2005. CABOB: A fast optimal algorithm for winner determination in combinatorial auctions. Manage. Sci. 51, 3, 374-390.
    • (2005) Manage. Sci , vol.51 , Issue.3 , pp. 374-390
    • SANDHOLM, T.1    SURI, S.2    GILPIN, A.3    LEVINE, D.4
  • 73
    • 0025448521 scopus 로고
    • The strength of weak learnability
    • SCHAPIRE, R. 1990. The strength of weak learnability. Mach. Learn. 5, 197-227.
    • (1990) Mach. Learn , vol.5 , pp. 197-227
    • SCHAPIRE, R.1
  • 74
    • 0018547414 scopus 로고
    • A simple method for regression analysis with censored data
    • SCHMEE, J., AND HAHN, G. J. 1979. A simple method for regression analysis with censored data. Technometrics 21, 4, 417-432.
    • (1979) Technometrics , vol.21 , Issue.4 , pp. 417-432
    • SCHMEE, J.1    HAHN, G.J.2
  • 75
    • 0030105333 scopus 로고    scopus 로고
    • Generating hard satisfiability problems
    • SELMAN, B., MITCHELL, D. G., AND LEVESQUE, H. J. 1996. Generating hard satisfiability problems. Artif. Intell. 81, 1-2, 17-29.
    • (1996) Artif. Intell , vol.81 , Issue.1-2 , pp. 17-29
    • SELMAN, B.1    MITCHELL, D.G.2    LEVESQUE, H.J.3
  • 79
    • 38349063502 scopus 로고    scopus 로고
    • Hierarchical hardness models for SAT
    • CP: Proceedings of the International Conference on Principles and Practice of Constraint Programming, Springer-Verlag, Berlin, Germany
    • XU, L., HOOS, H. H., AND LEYTON- BROWN, K. 2007a. Hierarchical hardness models for SAT. In CP: Proceedings of the International Conference on Principles and Practice of Constraint Programming. Lecture Notes in Computer Science, vol. 4741. Springer-Verlag, Berlin, Germany, 696-711.
    • (2007) Lecture Notes in Computer Science , vol.4741 , pp. 696-711
    • XU, L.1    HOOS, H.H.2    LEYTON- BROWN, K.3
  • 80
    • 38349031300 scopus 로고    scopus 로고
    • SATzilla-07: The design and analysis of an algorithm portfolio for SAT
    • CP: Proceedings of the International Conference on Principles and Practice of Constraint Programming, Springer-Verlag, Berlin, Germany
    • XU, L., HUTTER, F., HOOS, H. H., AND LEYTON-BROWN, K. 2007b. SATzilla-07: The design and analysis of an algorithm portfolio for SAT. In CP: Proceedings of the International Conference on Principles and Practice of Constraint Programming. Lecture Notes in Computer Science, vol. 4741. Springer-Verlag, Berlin, Germany, 712-727.
    • (2007) Lecture Notes in Computer Science , vol.4741 , pp. 712-727
    • XU, L.1    HUTTER, F.2    HOOS, H.H.3    LEYTON-BROWN, K.4


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