We present a general PAC-Bayes theorem from which all known PAC-Bayes risk bounds are obtained as particular cases. We also propose different learning algorithms for finding linea...
Abstract. We propose a very general syntactical notion of epistemic state and a compact axiomatization for iterated revision when the new information is an epistemic state. We set ...
We present a multi-dimensional generalization of the Szemer´edi-Trotter Theorem, and give a sharp bound on the number of incidences of points and not-too-degenerate hyperplanes i...
We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas sequences. By studying...
Abstract. In the paper we introduce and study the uniform regular enumerations for arbitrary recursive ordinals. As an application of the technique we obtain a uniform generalizati...