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JC
2000
138views more  JC 2000»
13 years 5 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
ICC
2009
IEEE
190views Communications» more  ICC 2009»
14 years 9 hour ago
Decomposition for Low-Complexity Near-Optimal Routing in Multi-Hop Wireless Networks
Abstract—Network flow models serve as a popular mathematical framework for the analysis and optimization of Multi-hop Wireless Networks. They also serve to provide the understan...
Vinay Kolar, Nael B. Abu-Ghazaleh, Petri Mäh&...
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 2 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
HYBRID
1998
Springer
13 years 9 months ago
High Order Eigentensors as Symbolic Rules in Competitive Learning
We discuss properties of high order neurons in competitive learning. In such neurons, geometric shapes replace the role of classic `point' neurons in neural networks. Complex ...
Hod Lipson, Hava T. Siegelmann
DIS
2001
Springer
13 years 9 months ago
Functional Trees
In the context of classification problems, algorithms that generate multivariate trees are able to explore multiple representation languages by using decision tests based on a com...
Joao Gama