Download Algorithmic Learning Theory: 25th International Conference, by Peter Auer, Alexander Clark, Thomas Zeugmann, Sandra Zilles PDF

By Peter Auer, Alexander Clark, Thomas Zeugmann, Sandra Zilles

This booklet constitutes the court cases of the twenty fifth foreign convention on Algorithmic studying thought, ALT 2014, held in Bled, Slovenia, in October 2014, and co-located with the seventeenth overseas convention on Discovery technological know-how, DS 2014. The 21 papers offered during this quantity have been conscientiously reviewed and chosen from 50 submissions. furthermore the booklet includes four complete papers summarizing the invited talks. The papers are equipped in topical sections named: inductive inference; special studying from queries; reinforcement studying; on-line studying and studying with bandit details; statistical studying thought; privateness, clustering, MDL, and Kolmogorov complexity.

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Extra info for Algorithmic Learning Theory: 25th International Conference, ALT 2014, Bled, Slovenia, October 8-10, 2014. Proceedings

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Based on these observations, one can devise an efficient algorithm for identifying the most preferred arm when the underlying distribution is Mallows. The algorithm proposed in [10] for the MPI problem, called MallowsMPI, is similar to the one used for finding the largest element in an array. However, since a stochastic environment is assumed in which the outcomes of pairwise comparisons are random variables, a single comparison of two arms ai and aj is not enough; instead, they are compared until 1/2 ∈ / qi,j − ci,j , qi,j + ci,j .

PAC Rank Elicitation. In a subsequent work by Busa-Fekete et al. [11], an extended version of the top-k selection problem is considered. In the PAC rank elicitation problem, the goal is to find a ranking that is “close” to the ranking produced by the ranking procedure with high probability. To make this problem feasible, more practical ranking procedures are considered. In fact, the problem of ranking procedures like Copeland is that a minimal change of a value qi,j ≈ 12 may strongly influence the induced order relation CO .

Busa-Fekete and E. H¨ ullermeier with h(k, φ) = k/(1 − φk ). Based on this result, one can show that the “margin” min |1/2 − qi,j | i=j φ 1 , 1+φ ). around 1/2 is relatively wide; more specifically, there is no qi,j ∈ ( 1+φ Moreover, the result also implies that qi,j − qi,k = O( φ ) for arms ai , aj , ak satisfying ri = rj − = rk − − 1 with 1 < , and qi,k − qi,j = O( φ ) for arms ai , aj , ak satisfying ri = rj + = rk + + 1 with 1 < . Therefore, deciding whether an arm aj has higher or lower rank than ai (with respect to r) is easier than selecting the preferred option from two candidates aj and ak for which j, k = i.

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