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JAT
2010
71views more  JAT 2010»
13 years 7 months ago
Functions with prescribed best linear approximations
A common problem in applied mathematics is that of finding a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In ...
Patrick L. Combettes, Noli N. Reyes
ICASSP
2009
IEEE
14 years 3 months ago
A PDE characterization of the intrinsic mode functions
For the first time, a proof of the sifting process (SP) and so the empirical mode decomposition (EMD), is given. For doing this, lower and upper envelopes are modeled in a more c...
El-Hadji Samba Diop, R. Alexandre, Abdel-Ouahab Bo...
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 3 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
AICCSA
2006
IEEE
86views Hardware» more  AICCSA 2006»
14 years 2 months ago
On the Optimal Deployment of Heterogeneous Sensing Devices
The problem of optimally deploying a heterogeneous set of sensing devices in environments with differential surveillance requirements is presented. The problem is formulated in th...
Rabie Ramadan, Khaled Abdelghany, Hesham El-Rewini
ISIPTA
1999
IEEE
117views Mathematics» more  ISIPTA 1999»
14 years 29 days ago
Towards a Unified Theory of Imprecise Probability
Belief functions, possibility measures and Choquet capacities of order 2, which are special kinds of coherent upper or lower probability, are amongst the most popular mathematical...
Peter Walley