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Barnes-Hut-SNE
The paper presents an O(N logN)-implementation of t-SNE — an embedding technique that is commonly used for the visualization of high-dimensional data in scatter plots and that normally runs in O(N). The new implementation uses vantage-point trees to compute sparse pairwise similarities between the input data objects, and it uses a variant of the Barnes-Hut algorithm to approximate the forces be...
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A new family of probability distributions βM,N , M = 0 · · ·N, N ∈ N on the unit interval (0, 1] is defined by the Mellin transform. The Mellin transform of βM,N is characterized in terms of products of ratios of Barnes multiple gamma functions, shown to satisfy a functional equation, and a Shintani-type infinite product factorization. The distribution log βM,N is infinitely divisible. If M < N...
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Silvio Ionta,* Roberto Martuzzi, Roy Salomon, and Olaf Blanke Center for Neuroprosthetics, School of Life Sciences, École Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland; Laboratory of Cognitive Neuroscience, Brain-Mind Institute, School of Life Sciences, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland; and Department of Neurology, University Ho...
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been introduced. Every article is up-to-date and concise, and the list of contributors is as guarantee of good work. The volume is a clearly printed and as well illustrated as ever, but is printed on fine thin paper, so that the bulk of the book is reduced. The general index is particularly well done, and there are no less than 42 plates and 200 other illustrations. A useful glossary of new ter...
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A catalogue record for this book is available from the British Library.
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ژورنال
عنوان ژورنال: Toxicological Sciences
سال: 2002
ISSN: 1096-0929
DOI: 10.1093/toxsci/68.2.267