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» On the number of minima of a random polynomial
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JC
2008
68views more  JC 2008»
13 years 11 months ago
On the number of minima of a random polynomial
We give an upper bound in O(d(n+1)/2 ) for the number of critical points of a normal random polynomial. The number of minima (resp. maxima) is in O(d(n+1)/2 )Pn, where Pn is the (...
Jean-Pierre Dedieu, Gregorio Malajovich
JCO
2007
123views more  JCO 2007»
13 years 10 months ago
On the number of local minima for the multidimensional assignment problem
The Multidimensional Assignment Problem (MAP) is an NP-hard combinatorial optimization problem occurring in many applications, such as data association, target tracking, and resou...
Don A. Grundel, Pavlo A. Krokhmal, Carlos A. S. Ol...
CORR
2006
Springer
125views Education» more  CORR 2006»
13 years 11 months ago
Barriers and local minima in energy landscapes of stochastic local search
: A local search algorithm operating on an instance of a Boolean constraint satisfaction problem (in particular, k-SAT) can be viewed as a stochastic process traversing successive ...
Petteri Kaski
RSA
2010
89views more  RSA 2010»
13 years 9 months ago
Some remarks on Betti numbers of random polygon spaces
Polygon spaces like Mℓ = {(u1, · · · , un) ∈ S1 × · · · S1 ; n i=1 liui = 0}/SO(2) or they three dimensional analogues Nℓ play an important rle in geometry and topolo...
Clément Dombry, Christian Mazza
NCA
2008
IEEE
13 years 10 months ago
The application of ridge polynomial neural network to multi-step ahead financial time series prediction
Motivated by the slow learning properties of multilayer perceptrons (MLPs) which utilize computationally intensive training algorithms, such as the backpropagation learning algorit...
Rozaida Ghazali, Abir Jaafar Hussain, Panos Liatsi...