منابع مشابه
Tail bounds via generic chaining
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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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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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...
متن کاملAgent deliberation via forward and backward chaining in linear logic
BDI Deliberation cycle, linear logic, forward chaining, Lygon Agent solutions to programming problems are often based on the Belief-Desire-Intention (BDI) paradigm [12]. Beliefs represent what the agent believes to be the current state of the world. Desires specify the proactive behaviour of the agent, in that the agent works to make these true. Often desires can be mutually exclusive or contra...
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Understanding the nature of commonsense reasoning is one of the deepest questions of cognitive science. Prior work has proposed analogy as a mechanism for commonsense reasoning, with prior simulations focusing on reasoning about continuous behavior of physical systems. This paper examines how analogy might be used in commonsense more broadly. The two contributions are (1) the idea of common sen...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1991
ISSN: 0090-5364
DOI: 10.1214/aos/1176347989