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DCG
2010
76views more  DCG 2010»
13 years 7 months ago
The Euclidean Distortion of the Lamplighter Group
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
Tim Austin, Assaf Naor, Alain Valette
QI
2009
Springer
190views Physics» more  QI 2009»
14 years 2 months ago
Characterizing Pure High-Order Entanglements in Lexical Semantic Spaces via Information Geometry
An emerging topic in Quantuam Interaction is the use of lexical semantic spaces, as Hilbert spaces, to capture the meaning of words. There has been some initial evidence that the p...
Yuexian Hou, Dawei Song
ALT
2007
Springer
14 years 4 months ago
Learning Kernel Perceptrons on Noisy Data Using Random Projections
In this paper, we address the issue of learning nonlinearly separable concepts with a kernel classifier in the situation where the data at hand are altered by a uniform classific...
Guillaume Stempfel, Liva Ralaivola
COMPGEOM
2006
ACM
14 years 1 months ago
Embedding ultrametrics into low-dimensional spaces
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
DEBS
2009
ACM
13 years 11 months ago
MICS: an efficient content space representation model for publish/subscribe systems
One of the main challenges faced by content-based publish/subscribe systems is handling large amount of dynamic subscriptions and publications in a multidimensional content space....
Hojjat Jafarpour, Sharad Mehrotra, Nalini Venkatas...