Motivation: Recent technological advances allow the measurement, in a single Hi-C experiment, of the frequencies of physical contacts among pairs of genomic loci at a genomewide scale. The next challenge is to infer, from the resulting DNA-DNA contact maps, accurate three dimensional models of how chromosomes fold and fit into the nucleus. Many existing inference methods rely upon multidimensio...

Sparse linear inverse problems appear in a variety of settings, but often the noise contaminating observations cannot accurately be described as bounded by or arising from a Gaussian distribution. Poisson observations in particular are a characteristic feature of several real-world applications. Previous work on sparse Poisson inverse problems encountered several limiting technical hurdles. Thi...

An extension of the non local (NL) means is proposed for images damaged by Poisson noise. The proposed method is guided by the noisy image and a pre-filtered image and is adapted to the statistics of Poisson noise. The influence of both images can be tuned using two filtering parameters. We propose an automatic setting to select these parameters based on estimated mean square error (MSE) minimi...

We consider a skew-symmetric n -ary bracket on the polynomial algebra K [ x 1 , … + ] ( ≥ 2 ) over field of characteristic zero defined by { } = Jac C where is fixed element and Jacobian. If then this Poisson if 3 it an -Lie-Poisson . describe center corresponding show that quotient / − λ ideal generated 0 ≠ ∈ simple central homogeneous not proper power any nonzero polynomial. This construction...

The Poisson, contact and Nambu brackets define algebraic structures on C∞(M) satisfying the Jacobi identity or its generalization. The automorphism groups of these brackets are the symplectic, contact and volume preserving diffeomorphism groups. We introduce a modification of the Nambu bracket, which define an evolution equation generating the whole diffeomorphism group. The relation between th...

26. -, Sur le problème de Cauchy pour l'équation de Poisson et l'équation des ondes, C. R. Acad. Sei. Paris vol. 234 (1952) pp. 2584-2585. 27. -, On the wave equation and the equation of Euler-Poisson, Proceedings of the Fifth Symposium in Applied Mathematics, 1952 (in print). 28. E. T. Whittaker and G N. Watson, Modern analysis, New York, 1948. 29. S. Zaremba, Rendiconti dei Accademia dei Linc...

some servers are to be located at nodes of a network. demand for services of these servers is located at each node and a subset of the nodes is to be chosen to locate one server in each. each customer selects a server with a probability dependent on distance and a certain amount of benefit is achieved after giving service to the customer. customers may waive receiving service with a known proba...

We explore negative dependence and stochastic orderings, showing that if an integer-valued random variable W satisfies a certain negative dependence assumption, then W is smaller (in the convex sense) than a Poisson variable of equal mean. Such W include those which may be written as a sum of totally negatively dependent indicators. This is generalised to other stochastic orderings. Application...