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» Ideal convergence of bounded sequences
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JSYML
2007
91views more  JSYML 2007»
13 years 10 months ago
Ideal convergence of bounded sequences
We generalize the Bolzano-Weierstrass theorem (that every bounded sequence of reals admits a convergentsubsequence) on ideal convergence. Weshow examplesofidealswith and without th...
Rafal Filipów, Reclaw Ireneusz, Mrozek Niko...
HYBRID
2010
Springer
14 years 5 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan
ECML
2001
Springer
14 years 3 months ago
Convergence and Error Bounds for Universal Prediction of Nonbinary Sequences
Solomonoff’s uncomputable universal prediction scheme ξ allows to predict the next
Marcus Hutter
ICML
2001
IEEE
14 years 11 months ago
General Loss Bounds for Universal Sequence Prediction
The Bayesian framework is ideally suited for induction problems. The probability of observing xt at
Marcus Hutter
CORR
2006
Springer
101views Education» more  CORR 2006»
13 years 11 months ago
MDL Convergence Speed for Bernoulli Sequences
The Minimum Description Length principle for online sequence estimation/prediction in a proper learning setup is studied. If the underlying model class is discrete, then the total...
Jan Poland, Marcus Hutter