(Q,≦,∨) is a complete join semilattice (Q,・,e) is a monoid (∨S)・a=∨{b・a | b∈S} for a∈Q, S⊆Q a・(∨S)=∨{a・b | b∈S} for a∈Q, S⊆Q 2 Background: An Example of Quantale (Rel(A),≦,∨,・,e) is a quantale where Rel(A) is the set of all binary relations on A ≦ is the inclusion ∨ is the union ・ is the composition Q・R={ (a,c) | ∃b. (a,b)∈Q, (b,c)∈R } e is the identity relation 3 Our Goal: Relational Represent...

Degree-based graph construction is an ubiquitous problem in network modeling [1, 2], ranging from social sciences to chemical compounds and biochemical reaction networks in the cell. This problem includes existence, enumeration, exhaustive construction and sampling questions with aspects that are still open today. Here we give necessary and sufficient conditions for a sequence of nonnegative in...

Graph based methods are among the most active and applicable approaches studied in semi-supervised learning. The problem of neighborhood graph construction for these methods is addressed in this paper. Neighborhood graph construction plays a key role in the quality of the classification in graph based methods. Several unsupervised graph construction methods have been proposed that have addresse...

We summarize full-length movies by creating shorter videos containing their most informative scenes. explore the hypothesis that a summary can be created assembling scenes which are turning points (TPs), i.e., key events in movie describe its storyline. propose model identifies TP building sparse graph represents relations between and is constructed using multimodal information. According to hu...

A variety of graph-based semi-supervised learning (SSL) algorithms and graph construction methods have been proposed in the last few years. Despite their apparent empirical success, the field of SSL lacks a detailed study that empirically evaluates the influence of graph construction on SSL. In this paper we provide such an experimental study. We combine a variety of graph construction methods ...

land-use spatial allocation is a multi-objective collaborative spatial optimization methodfor rational use of the land use. based on global search capabilities and the information feedbackmechanism of ant colony optimization (aco), a land-use spatial allocation model (aco-la) isproposed. firstlyfirst, a construction graph is built for modeling the land-use spatial allocationproblem. secondlysec...