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Team selection for prediction tasks

Author

Listed:
  • MohammadAmin Fazli

    (Sharif University of Technology)

  • Azin Ghazimatin

    (Sharif University of Technology)

  • Jafar Habibi

    (Sharif University of Technology)

  • Hamid Haghshenas

    (Sharif University of Technology)

Abstract

Given a random variable $$O \in \mathbb {R}$$ O ∈ R and a set of experts $$E$$ E , we describe a method for finding a subset of experts $$S \subseteq E$$ S ⊆ E whose aggregated opinion best predicts the outcome of $$O$$ O . Therefore, the problem can be regarded as a team formation for performing a prediction task. We show that in case of aggregating experts’ opinions by simple averaging, finding the best team (the team with the lowest total error during past $$k$$ k rounds) can be modeled with an integer quadratic programming and we prove its NP-hardness whereas its relaxation is solvable in polynomial time. At the end, we do an experimental comparison between different rounding and greedy heuristics on artificial datasets which are generated based on calibration and informativeness of exprets’ information and show that our suggested tabu search works effectively.

Suggested Citation

  • MohammadAmin Fazli & Azin Ghazimatin & Jafar Habibi & Hamid Haghshenas, 2016. "Team selection for prediction tasks," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 743-757, February.
  • Handle: RePEc:spr:jcomop:v:31:y:2016:i:2:d:10.1007_s10878-014-9784-3
    DOI: 10.1007/s10878-014-9784-3
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    References listed on IDEAS

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    1. James K. Hammitt & Yifan Zhang, 2013. "Combining Experts’ Judgments: Comparison of Algorithmic Methods Using Synthetic Data," Risk Analysis, John Wiley & Sons, vol. 33(1), pages 109-120, January.
    2. Robert T. Clemen & Robert L. Winkler, 1999. "Combining Probability Distributions From Experts in Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 19(2), pages 187-203, April.
    3. Mostaghimi, Mehdi, 1996. "Combining ranked mean value forecasts," European Journal of Operational Research, Elsevier, vol. 94(3), pages 505-516, November.
    4. Graefe, Andreas & Armstrong, J. Scott & Jones, Randall J. & Cuzán, Alfred G., 2014. "Combining forecasts: An application to elections," International Journal of Forecasting, Elsevier, vol. 30(1), pages 43-54.
    5. Yiling Chen & Chao-Hsien Chu & Tracy Mullen, 2006. "Predicting Uncertain Outcomes Using Information Markets: Trader Behavior And Information Aggregation," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 2(03), pages 281-297.
    6. Peter A. Morris, 1974. "Decision Analysis Expert Use," Management Science, INFORMS, vol. 20(9), pages 1233-1241, May.
    7. Qinghua Wu & Jin-Kao Hao, 2013. "An adaptive multistart tabu search approach to solve the maximum clique problem," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 86-108, July.
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