Prof. E. Barnes

Welcome Note to Prof. Peter Barnes and Dr. Irfan Rahman to Join Tanaffos Journal Editorial Board

We are pleased to inform you that Prof. Peter Barnes from London Imperial College and Dr. Irfan Rahman from University of Rochester accepted our invitation to join the Tanaffos Journal Editorial Board team. Prof. Peter Barnes is Professor of Thoracic Medicine and Head of Airway Disease at the National Heart and Lung Institute and Honorary Consultant Physician at Royal Brompton Hospital, London....

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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...

Theory of Barnes Beta distributions

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...

Asymptotics and Mellin-Barnes Integrals

A catalogue record for this book is available from the British Library.