75
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
62
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
DAGSTUHL
2006
15 years 2 months ago
2006
In this paper we study a class of dynamical systems defined by Pfaffian maps. It is a sub-class of o-minimal dynamical systems which capture rich continuous dynamics and yet can be...
65
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
89
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
We present and relate recent results in prediction based on countable classes of either probability (semi-)distributions or base predictors. Learning by Bayes, MDL, and stochastic ...
90
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
We bound the future loss when predicting any (computably) stochastic sequence online. Solomonoff finitely bounded the total deviation of his universal predictor M from the true dis...
99
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
We show that Kolmogorov complexity and such its estimators as universal codes (or data compression methods) can be applied for hypothesis testing in a framework of classical mathe...
58
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
The problem of prediction future event given an individual sequence of past events is considered. Predictions are given in form of real numbers pn which are computed by some algori...
58
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
78
Voted
DAGSTUHL
2006
15 years 2 months ago
2006
Multisource information theory in Shannon setting is well known. In this article we try to develop its algorithmic information theory counterpart and use it as the general framewo...