This work shows that the optimal logarithmic regret is also achievable uniformly over time, with simple and efficient policies, and for all reward distributions with bounded support.Expand

Here a polynomial time algorithm for MCD for fixed dimension of the data is presented and it is shown that computing the MCD-estimator is NP-hard if the dimension varies.Expand

It is shown how to find a maximum convex polygon which contains a given point in time O(n3logn), and how to use other measures fulfilling a certain additive property, however, this may affect the running time.Expand

It is proved that 2-term is learnable by a conjunction of a 2-CNF and a 1-DNF and that k-RSE, the class of ring-sum-expansions containing only monomials of length at most k, can be learned from positive (negative) examples alone.Expand

It has been conjectured that the cut-off point of combinatorial group testing is equal to x ∗ = 1 3 and the strategy of testing n − 1 objects individually minimizes the worst case number of queries iff k n ⩾ α ∗ and k.Expand

Two new approaches to approximating the minimum number of misclassifications achievable with affine hyperplanes are introduced, modifications of the regression depth method proposed by Rousseeuw and Hubert (1999) for linear regression models.Expand

This paper considers the situation where one is given a finite set of n points in the plane each of which is labeled either “positive” or “negative” and shows that the problem to find a bounded convex polygon of maximum area can be solved in time O(n4 log n).Expand

It is shown that some problems have polynomial time algorithms while others are NP-complete, and that many commonly considered puzzles can be emulated by simple puzzles with quadratic pieces, so that one can restrict oneself to investigating those.Expand

This paper presents a generic algorithm using randomized hypotheses that can tolerate noise rates slightly larger than ε/(1 + ε) while using samples of size <italic>d</italic*/ε as in the noise-free case and shows upper and lower bounds of this order.Expand