Musculoskeletal
发表于 2025-3-23 13:36:26
,Fréchet Means in the Wasserstein Space ,,If . is a Hilbert space (or a closed convex subspace thereof) and .., …, .. ∈ ., then the empirical mean . is the unique element of . that minimises the sum of squared distances from the ..’s.
解脱
发表于 2025-3-23 16:49:19
,Phase Variation and Fréchet Means,Why is it relevant to construct the Fréchet mean of a collection of measures with respect to the Wasserstein metric? A simple answer is that this kind of average will often express a more natural notion of “typical” realisation of a random probability distribution than an arithmetic average.
兴奋过度
发表于 2025-3-23 20:16:59
Optimal Transport, this topic are the books by Rachev and Rüschendorf [.], Villani [., .], Ambrosio et al. [.], Ambrosio and Gigli [.], and Santambrogio [.]. This chapter includes only few proofs, when they are simple, informative, or are not easily found in one of the cited references.
物种起源
发表于 2025-3-24 01:34:54
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Asparagus
发表于 2025-3-24 03:35:48
,Der Petroleum-Tankdampfer »August Korff«, this topic are the books by Rachev and Rüschendorf [.], Villani [., .], Ambrosio et al. [.], Ambrosio and Gigli [.], and Santambrogio [.]. This chapter includes only few proofs, when they are simple, informative, or are not easily found in one of the cited references.
分期付款
发表于 2025-3-24 08:58:52
Victor M. Panaretos,Yoav ZemelGives a succinct introduction to necessary mathematical background, focusing on the results useful for statistics from an otherwise vast mathematical literature.Presents an up-to-date overview of the
Nerve-Block
发表于 2025-3-24 11:44:33
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mutineer
发表于 2025-3-24 18:45:29
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缺陷
发表于 2025-3-24 20:09:46
,Die Kaiseryacht »Hohenzollern«,. The resulting metric space, a subspace of ., is commonly known as the . . (although, as Villani [., pages 118–119] puts it, this terminology is “very questionable”; see also Bobkov and Ledoux [., page 4]). In Chap. ., we shall see that this metric is in a sense canonical when dealing with warpings
Harbor
发表于 2025-3-25 02:12:14
,Der Petroleum-Tankdampfer »August Korff«,multivariate case, where, apart from the important yet special case of compatible measures, closed-form formulae are not available. This chapter presents an iterative procedure that provably approximates at least a Karcher mean with mild restrictions on the measures .., …, ... The algorithm is based