Titlebook: Measures of Complexity; Festschrift for Alex Vladimir Vovk,Harris Papadopoulos,Alexander Gammer Book 2015 Springer International Publishing

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Institute of Control Sciences Through the Lens of VC Dimensionand the main directions of their work against the background of everyday life of the Institute, and the beginning of the Institute’s studies in the field of pattern recognition. It also provides a brief summary of VC theory in machine learning. Personal observations of the author accompany the story

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Predictive Complexity for Games with Finite Outcome Spacesf a sequence in a particular prediction environment. This chapter surveys key results on predictive complexity for games with finitely many outcomes. The issues of existence, non-existence, uniqueness, and linear inequalities are covered.

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Classes of Functions Related to VC Propertieseorems for empirical measures can be proved uniformly over such classes. Specific such classes on Euclidean spaces can be used to show the existence of location vector and scatter matrix functionals, replacing mean vectors and covariance matrices, but on classes of probability measures . that are we

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