1,720,975 research outputs found

    Random Matrices, Geometric Functional Analysis and Algorithms

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    The workshop gathered close to 50 participants on the topics of random matrix theory, high dimensional convex geometry and probabilistic methods in theoretical computer science. It favored cooperation between researchers in these interlaced areas by providing an interacting working atmosphere most appreciated by the participants. We hope this workshop will advance the developments at these interfaces further

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Obstructions to embeddabillity of metric spaces in LpL_p spaces: Property α\alpha

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    I'll present a few inequalities on metric spaces holding for LpL_p and other natural spaces. One of these inequalities can serve as the metric analogue of (Pisier's) property α\alpha and serves as an obstruction to the Lipschitz(and uniform) embeddability of (some discrete subsets of) Schatten classes into LpL_p spaces. Joint work with Assaf Naor.Non UBCUnreviewedAuthor affiliation: Weizmann Institute of ScienceFacult

    No good dimension reduction in the trace class norm

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    I'll present a result of Assaf Naor, Gilles Pisier and myself: Let S1S_1 denote the Schatten--von Neumann trace class, i.e., the Banach space of all compact operators T:22T:\ell_2\to \ell_2 whose trace class norm TS1=j=1σj(T)\|T\|_{S_1}=\sum_{j=1}^\infty\sigma_j(T) is finite, where {σj(T)}j=1\{\sigma_j(T)\}_{j=1}^\infty are the singular values of TT. We prove that for arbitrarily large nNn\in \mathbb{N} there exists a subset SS1S\subset S_1 with S=n|S|=n that cannot be embedded with bi-Lipschitz distortion O(1)O(1) into any no(1)n^{o(1)}-dimensional linear subspace of S1S_1. This extends a well known result of Brikmann and Charikar (2003) who proved a similar result with 1\ell_1 replacing S1S_1. It stand in sharp dichotomy with the Johnson--Lindenstrauss lemma (1984) which says that the situation in 2\ell_2 is very different.Non UBCUnreviewedAuthor affiliation: Weizmann InstituteFacult

    Two observations regarding embedding subsets of Euclidean spaces in normed spaces

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    AbstractThis paper contains two results concerning linear embeddings of subsets of Euclidean space in low-dimensional normed spaces. The first is an improvement of the known dependence on ɛ in Dvoretzky's theorem from order of ɛ2 to order of ɛ (except for log factors). The second is a joint generalization of (Milman's version of) Dvoretzky's theorem and (a recent generalization by Klartag and Mendelson of) the Johnson–Lindenstrauss Lemma
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