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Information-theoretic metric learning
- in NIPS 2006 Workshop on Learning to Compare Examples
, 2007
"... We formulate the metric learning problem as that of minimizing the differential relative entropy between two multivariate Gaussians under constraints on the Mahalanobis distance function. Via a surprising equivalence, we show that this problem can be solved as a low-rank kernel learning problem. Spe ..."
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Cited by 359 (15 self)
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. Specifically, we minimize the Burg divergence of a low-rank kernel to an input kernel, subject to pairwise distance constraints. Our approach has several advantages over existing methods. First, we present a natural information-theoretic formulation for the problem. Second, the algorithm utilizes the methods
Online linear regression using burg entropy
, 2007
"... We consider the problem of online prediction with a linear model. In contrast to existing work in online regression, which regularizes based on squared loss or KL-divergence, we regularize using divergences arising from the Burg entropy. We demonstrate regret bounds for our resulting online gradient ..."
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Cited by 2 (1 self)
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We consider the problem of online prediction with a linear model. In contrast to existing work in online regression, which regularizes based on squared loss or KL-divergence, we regularize using divergences arising from the Burg entropy. We demonstrate regret bounds for our resulting online
The Channel Capacity when the Non-Shannon Information Measure is Maximized by Normal Distribution
, 2012
"... Abstract In the present paper we shall discuss the information capacity of a Gaussian channel through Kullback-Leibler's [2] information measure of directed divergence and maximized entropy by the normal distribution due to Burg ..."
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Abstract In the present paper we shall discuss the information capacity of a Gaussian channel through Kullback-Leibler's [2] information measure of directed divergence and maximized entropy by the normal distribution due to Burg
Rank-based Distance Metric Learning: An Application to Image Retrieval
"... We present a novel approach to learn distance metric for information retrieval. Learning distance metric from a number of queries with side information, i.e., relevance judgements, has been studied widely, for example pairwise constraint-based distance metric learning. However, the capacity of exist ..."
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Cited by 13 (0 self)
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explicitly, we propose rankbased distance metric learning. Our approach overcomes the drawback of existing algorithms by comparing the distances only among the relevant and irrelevant objects for a given query. To avoid over-fitting, a regularizer based on the Burg matrix divergence is also introduced. We
Quantum Voronoi Diagrams and Holevo Channel Capacity for 1-Qubit Quantum States
, 2008
"... Abstract—In this paper, we first introduce a smooth parametric family of Bregman-Csiszár quantum entropies including the von Neumann and Burg quantum entropies. We then describe the dualistic nature of Voronoi diagrams for 1-qubit quantum states inside the 3D Bloch ball representation. We show that ..."
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Abstract—In this paper, we first introduce a smooth parametric family of Bregman-Csiszár quantum entropies including the von Neumann and Burg quantum entropies. We then describe the dualistic nature of Voronoi diagrams for 1-qubit quantum states inside the 3D Bloch ball representation. We show
OPTICAL DIFFRACTION RADIATION INTERFEROMETRY AS ELECTRON TRANSVERSE DIAGNOSTICS∗
"... The characterization of the transverse phase space for high charge density and high energy electron beams is de-manding for the successful development of the next gener-ation light sources and linear colliders. Due to its non-invasive and non-intercepting features, Optical Diffraction Radiation (ODR ..."
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(ODR) is considered as one of the most promising candidates to measure the transverse beam size and angular divergence. A thin stainless steel mask has been installed at 45o with respect to the DR target and normally to the beam propa-gation to reduce the contribution of synchrotron radiation (SR
Thinking of Particulars1
"... We aim at objectivity in both day to day and scientific inquiry. In aiming at objectivity, our targets are both getting the facts about the world right and communicating our knowledge to others. Central to this epistemological ideal is a notion of a particular object. Objects are the things that bea ..."
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of Fregean sense that diverge in their interpretation of sense as descriptive or non-descriptive. I argue that a descriptive notion of sense forces one to postulate non-conceptual content, which I further argue is an untenable position. I ultimately provide an alternative account to what I ascertain to be a
Putative New West Nile Virus Lineage
"... West Nile virus (WNV) is becoming more widespread and markedly effecting public health. We sequenced the complete polyprotein gene of a divergent WNV strain newly detected in a pool of Uranotaenia unguiculata mosquitoes in Austria. Phylogenetic analyses suggest that the new strain constitutes a nin ..."
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West Nile virus (WNV) is becoming more widespread and markedly effecting public health. We sequenced the complete polyprotein gene of a divergent WNV strain newly detected in a pool of Uranotaenia unguiculata mosquitoes in Austria. Phylogenetic analyses suggest that the new strain constitutes a
ACKNOWLEDGMENTS
, 2011
"... First and foremost, I would like to thank my advisor, Prof. Jennifer E. Michaels. I am most appreciative of your guidance over the last four years, from the basics of elastic waves to both short- and long-term career advice. I have grown a tremendous amount, both profes-sionally and personally, and ..."
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First and foremost, I would like to thank my advisor, Prof. Jennifer E. Michaels. I am most appreciative of your guidance over the last four years, from the basics of elastic waves to both short- and long-term career advice. I have grown a tremendous amount, both profes-sionally and personally, and am deeply grateful for your mentorship, patience, and support. I would also like to thank my Ph.D. committee for their valuable insight and sugges-
Die Deutsche Bibliothek- Cataloging in Publication Data
, 1996
"... @ Printed on acid-free paper which falls within the guidelines of the ANSI ..."
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@ Printed on acid-free paper which falls within the guidelines of the ANSI