We consider the problem of minimizing a polynomial on the hypercube [0, 1]n and derive new error bounds for the hierarchy of semidefinite programming approximations to this problem...
Some new results that provide refinements and reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) -inequality in the general setting of Measure Theory and under some boundedness condi...
We consider the new problem of determining the number of partitions of a number into a fixed number k of squares, and find explicit formulae in the cases k = 2, 3, 4. Classificati...
Using multi-layer neural networks to estimate the probabilities of word sequences is a promising research area in statistical language modeling, with applications in speech recogn...
Hai Son Le, Alexandre Allauzen, Guillaume Wisniews...