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Akbari, Sina; Escobedo, Adolfo R. (, Computers & Operations Research)
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Akbari, Sina; Escobedo, Adolfo R. (, International Symposium on Combinatorial Optimization)Top-k lists are being increasingly utilized in various fields and applications including information retrieval, machine learning, and recommendation systems. Since multiple top-k lists may be generated by different algorithms to evaluate the same set of entities or system of interest, there is often a need to consolidate this collection of heterogeneous top-k lists to obtain a more robust and coherent list. This work introduces various exact mathematical formulations of the top-k list aggregation problem under the generalized Kendall tau distance. Furthermore, the strength of the proposed formulations is analyzed from a polyhedral point of view.more » « less
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Akbari, Sina; Escobedo, Adolfo R. (, 2021 IEEE Symposium Series on Computational Intelligence)Rank aggregation has many applications in computer science, operations research, and group decision-making. This paper introduces lower bounds on the Kemeny aggregation problem when the input rankings are non-strict (with and without ties). It generalizes some of the existing lower bounds for strict rankings to the case of non-strict rankings, and it proposes shortcuts for reducing the run time of these techniques. More specifically, we use Condorcet criterion variations and the Branch & Cut method to accelerate the lower bounding process.more » « less
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