Dengue is an important mosquito borne viral disease in Martinique Island (French West Indies). The viruses responsible for dengue are transmitted by Aedes aegypti, an indoor day-biting mosquito. The most effective proven method for disease prevention has been by vector control by various chemical or biological means. Unfortunately insecticide resistance has already been observed on the Island a...

Given a finite but large set of objects described by a vector of features, only a small subset of which have been labeled as ‘positive’ with respect to a class of interest, we consider the problem of characterizing the positive class. We formalize this as the problem of learning a feature based score function that minimizes the p-value of a non parametric statistical hypothesis test. For linear...

A matrix $A$ is called totally positive (or non-negative) of order k $k$ , denoted by T P $TP_k$ N $TN_k$ ), if all minors size at most are non-negative). These matrices have featured in diverse areas mathematics, including algebra, analysis, combinatorics, differential equations and probability theory. The goal this article to provide a novel connection between total positivity optimization/ga...

Let δ(P) = (δ0, δ1, . . . , δd) be the δ-vector of an integral polytope P ⊂ R of dimension d. Following the previous work of characterizing the δvectors with ∑d i=0 δi ≤ 3, the possible δ-vectors with ∑d i=0 δi = 4 will be classified. And each possible δ-vectors can be obtained by simplices. We get this result by studying the problem of classifying the possible integral simplices with a given δ...

For the last decade, distributional semantics has been an active area of research to address the problem of understanding the semantics of words in natural language. The core principal of the distributional semantic approach is that the linguistic context surrounding a given word, which is represented as a vector, provides important information about its meaning. In this paper we investigate th...

A sequential optimality condition characterizing the efficient solution without any constraint qualification for an abstract convex vector optimization problem is given in sequential forms using subdifferentials and 2-subdifferentials. Another sequential condition involving only the subdifferentials, but at nearby points to the efficient solution for constraints, is also derived. Moreover, we p...

A‎s we know, developing mathematical models and numerical procedures that would appropriately treat and solve systems of linear equations where some of the system's parameters are proposed as fuzzy numbers is very important in fuzzy set theory. For this reason, many researchers have used various numerical methods to solve fuzzy linear systems. In this paper, we define the concepts of midpoint a...