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Learning how to rank many objects M. Jordan and A. Hero

Learning how to rank many objects M. Jordan and A. Hero. Motivating question : can we learn to rank objects in large database based on a persons’ rankings of just a few objects? Relevance : predicting human ranking behavior is important for human-in-the-loop systems.

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Learning how to rank many objects M. Jordan and A. Hero

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  1. Learning how to rank many objects M. Jordan and A. Hero • Motivating question: can we learn to rank objects in large database based on a persons’ rankings of just a few objects? • Relevance: predicting human ranking behavior is important for human-in-the-loop systems. • Students: J. Duchi (UCB) and J. Calder (UM) Pareto ranking Main questions What rank orders are identifiable from incomplete observations? [1] Can one simplify the problem by PDE relaxations? Partial rankings using Hamilton-Jacobi equations[2] What are minimax convergence rates of numerical PDE solnsto ranking problems? 1 2 5 3 6 7 4 10 Score 2 8 11 12 9 13 14 Score 1 [1] Duchietal, “Asymptotics of ranking,” 2013 [2] Calder etal, “A Hamilton-Jacobi equation for…non-dominated sorting,” 2013.

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