منابع مشابه
Small Deviation Probability via Chaining
We obtain several extensions of Talagrand’s lower bound for the small deviation probability using metric entropy. For Gaussian processes, our investigations are focused on processes with sub-polynomial and, respectively, exponential behaviour of covering numbers. The corresponding results are also proved for non-Gaussian symmetric stable processes, both for the cases of critically small and cri...
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In this paper we study the problem of bounding the value of the probability distribution function of a random variable X at E[X] + a where a is a small quantity in comparison with E[X], by means of the second and the fourth moments of X. In this particular context, many classical inequalities yield only trivial bounds. By studying the primal-dual moments-generating conic optimization problems, ...
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Abstract. We modify Talagrand’s generic chaining method to obtain upper bounds for all p-th moments of the supremum of a stochastic process. These bounds lead to an estimate for the upper tail of the supremum with optimal deviation parameters. We apply our procedure to improve and extend some known deviation inequalities for suprema of unbounded empirical processes and chaos processes. As an ap...
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When using a team of small unmanned aircraft, with no satellite communications, the operational range of the team is typically limited by line-of-sight communication constraints between an individual aircraft and a ground station, and not the endurance range of the individual aircraft within the team. By using electronic chaining to form a multi-hop communication link using the team, the overal...
متن کاملSymbol Grounding via Chaining of Morphisms
A new model of symbol grounding is presented, in which the structures of natural language, logical semantics, perception and action are represented categorically, and symbol grounding is modeled via the composition of morphisms between the relevant categories. This model gives conceptual insight into the fundamentally systematic nature of symbol grounding, and also connects naturally to practic...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2008
ISSN: 0304-4149
DOI: 10.1016/j.spa.2008.01.005