For many real-life systems ranging from financial to populationrelated to medical, dynamics is described by a system of linear equations. For such systems, the growth rate λ can be determined as the largest eigenvalue of the corresponding matrix aij . In many practical situations, we only know the components of the matrix aij with interval (or fuzzy) uncertainty. In such situations, it is desir...

Starch or dextran blue microspheres were transferred microsurgically to the infundibulum of the oviduct on Days 1, 2, or 3 of pregnancy of control and oestradiol-treated rats. The animals were killed a few hours to several days after transfer to assess the number and distribution of ova and microspheres in the tract. After transfer on Day 1 of pregnancy, microspheres and eggs crossed the ampull...

the aij and bij being real or complex. This vector field is a deformation of the vector field x∂y −y∂x whose trajectories are concentric circles around 0. We prove in this paper a precise version of the following assertion: for any compact K in the space of the (aij ,bij ), there exist a number p(q) and a neighborhood U(q,K) of 0 such that for (a,b) ∈ K , either 0 is again a center of Wa,b (i.e...

When the Artificial Intelligence Journal (AIJ) put out its fiftieth volume in 1991, it seemed an appropriate time to look at the field through the perspective of the publication of the journal. The growth from one volume of 300 pages in 1970 to six volumes of almost 2400 pages in 1991 reflects the academic growth of the field. The fifty volumes include almost six hundred published papers. To ca...

In 2002, we published in Artificial Intelligence an extension [1] of a paper we presented at IJCAI-01 [2]. In Section 2 of the IJCAI-01 paper [2] and in Section 2.1 of the AIJ paper [1], we presented a criterion for selecting a subset of an ensemble of neural networks that could yield better performance than using all members of the ensemble for regression. The fundamental motivation for this c...

In this paper, we investigate the self-adaptive source separation problem for convolutively mixed signals. The proposed approach uses a recurrent structure adapted by a generic rule involving arbitrary separating functions. We rst analyze the stability of this class of algorithms. We then apply these results to some classical rules for instantaneous and convolutive mixtures that were proposed i...