Optimal advice

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چکیده

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Optimal Advice

Ko Ko83] proved that the P-selective sets are in the advice class P/quadratic. We prove that the P-selective sets are in NP=linear T coNP=linear. We show this to be optimal in terms of the amount of advice needed.

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Towards Optimal Algorithms for Prediction with Expert Advice

We study the classical problem of prediction with expert advice in the adversarial setting with a geometric stopping time. In 1965, Cover gave the optimal algorithm for the case of 2 experts. In this paper, we design the optimal algorithm, adversary and regret for the case of 3 experts. Further, we show that the optimal algorithm for 2 and 3 experts is a probability matching algorithm (analogou...

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Optimal Online Edge Coloring of Planar Graphs with Advice

We study the amount of knowledge about the future that an online algorithm needs to color the edges of a graph optimally (i.e. using as few colors as possible). Assume that along with each edge, the online algorithm receives a fixed number of advice bits. For graphs of maximum degree ∆, it follows from Vizing’s Theorem that ⌈log(∆+ 1)⌉ bits per edge suffice to achieve optimality. We show that e...

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Defensive forecasting for optimal prediction with expert advice

The method of defensive forecasting is applied to the problem of prediction with expert advice for binary outcomes. It turns out that defensive forecasting is not only competitive with the Aggregating Algorithm but also handles the case of “second-guessing” experts, whose advice depends on the learner’s prediction; this paper assumes that the dependence on the learner’s prediction is continuous.

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1996

ISSN: 0304-3975

DOI: 10.1016/0304-3975(95)00076-3