Many of the multimedia researchers have focused on the issue of the retrieval of images using indexed image collections. A number of spatial data structures based on Minimum Bounding Rectangles (MBRs) have been developed. Previously, we presented aggregation-tree structure to extract metadata from Scalable Vector Graphics (SVG) documents [8]. In this paper, we revised the aggregation-tree to be...

We introduce a new family of judgment aggregation rules, called the binomial rules, designed to account for hidden dependencies between some of the issues being judged. To place them within the landscape of judgment aggregation rules, we analyse both their axiomatic properties and their computational complexity, and we show that they contain both the well-known distance-based rule and the basic...

We show that: (i) the Pythagoras number of a real analytic set germ is the supremum of the Pythagoras numbers of the curve germs it contains, and (ii) every real analytic curve germ is contained in a real analytic surface germ with the same Pythagoras number (or Pythagoras number 2 if the curve is Pythagorean). This gives new examples and counterexamples concerning sums of squares and positive ...

Abstract There is a plurality of formal constraints for aggregating probabilities group individuals. Different characterise different families aggregation rules. In this paper, we focus on the linear and geometric opinion pooling rules which consist in linear, respectively, weighted averaging individuals’ probabilities. For these families, it debated weights exactly are to be chosen. By applyin...

Committee decisions on more than two alternatives much depend the adopted aggregation rule, and so does distribution of power among committee members. We quantify how different voting methods such as pairwise majority votes, plurality with or without a runoff, Borda rule map asymmetric numbers seats, shares, weights, etc. to influence collective outcomes when individual preferences vary. Genera...

In many real-life situations that involve exchanges of arguments, individuals may differ on their assessment which supports between the arguments are in fact justified, i.e., they put forward different support-relations. When confronted with such situations, we wish to aggregate individuals' argumentation views support-relations into a collective view, is acceptable group. this paper, assume un...

We extend our previous stochastic cellular automata-based model for two-dimensional (areal) aggregation of prion proteins on neuronal surfaces. The new anisotropic model allows us to simulate both strong beta-sheet and weaker attachment bonds between proteins. Constraining binding directions allows us to generate aggregate structures with the hexagonal lattice symmetry found in recently observe...

Reaching some form of consensus is often necessary for autonomous agents that want to coordinate their actions or otherwise engage in joint activities. One way to reach a consensus is by aggregating individual information, such as decisions, beliefs, preferences and constraints. Judgment aggregation is a social choice method, which generalises voting , that studies the aggregation of individual...

The aggregation phase of development of the cellular slime mould Dictyostelium discoideum is simulated on a computer. The simulation is performed in 2 dimensions, and produces animated graphical output similar to time-lapse films. It is based on observations of cell behaviour as expressed by a set of rules for each cell, involving cell movement and release of and response to chemical signals. F...