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» A Divergence Formula for Randomness and Dimension
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TALG
2010
158views more  TALG 2010»
12 years 11 months ago
Clustering for metric and nonmetric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P of size n, our goal is to find a set C of size k such t...
Marcel R. Ackermann, Johannes Blömer, Christi...
JCB
2008
106views more  JCB 2008»
13 years 4 months ago
Statistics of Random Protein Superpositions: p-Values for Pairwise Structure Alignment
Quantification of statistical significance is essential for the interpretation of protein structural similarity. To address this, a random model for protein structure comparison w...
James O. Wrabl, Nick V. Grishin
CORR
2006
Springer
77views Education» more  CORR 2006»
13 years 4 months ago
Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications
This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
Wei Dai, Youjian Liu, Brian Rider
AUSAI
2007
Springer
13 years 11 months ago
Merging Algorithm to Reduce Dimensionality in Application to Web-Mining
Dimensional reduction may be effective in order to compress data without loss of essential information. Also, it may be useful in order to smooth data and reduce random noise. The...
Vladimir Nikulin, Geoffrey J. McLachlan
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 3 months ago
The LASSO risk for gaussian matrices
We consider the problem of learning a coefficient vector x0 ∈ RN from noisy linear observation y = Ax0 + w ∈ Rn . In many contexts (ranging from model selection to image proce...
Mohsen Bayati, Andrea Montanari