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Titlebook: Weak Convergence and Empirical Processes; With Applications to Aad W. Vaart,Jon A. Wellner Book 19961st edition Springer Science+Business M

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0172-7397 gence in distribution. The classical theory of this subject was developed mostly in the 1950s and is well summarized in Billingsley (1968). During the last 15 years, the need for a more general theory allowing random elements that are not Borel measurable has become well established, particularly in
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Uniformity and Metrizationble) subsets such that pointwise convergence on such a subset is automatically uniform, and equivalent to pointwise convergence on the whole of ..(D), i.e. weak convergence. For separable D, it is even possible to pick such a countable subset that works for every .., at the same time.
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The Ball Sigma-Field and Measurability of Supremat turns out that the set of ball measurable . ∈ ..(D) is rich enough to make this fruitful, but at the same time it is so rich that the theory is a special case of the theory that we have discussed so far.
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d its effectiveness in various vision tasks, mainly due to its capacity to model long-term relationships. However, when it comes to image inpainting tasks, the transformer tends to fall short in terms of modeling local information, and interference from damaged regions can pose challenges. To tackle
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ts. Focusing on the shortcomings of traditional RRT methods such as long, unsmooth paths, and uncoupling with robot control system, an automatic robot motion planning method was proposed based on Rapid Exploring Random Tree called AM-RRT* (automatic motion planning based on RRT*). First, the RRT alg
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rtant to improve road safety. Most of the existing research on fatigue detection is based on the facial key-points of drivers, which are prone to inaccurate detection and thus affect the accuracy of fatigue judgment in complex driving environments. This paper first proposes an end-to-end fatigue det
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efficiency than traditional reinforcement learning algorithms because curriculum learning enables agents to learn tasks in a meaningful order: from simple tasks to difficult ones. However, most curriculum learning in RL still relies on fixed hand-designed sequences of tasks. We present a novel sche
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