Traditionally recommendation technologies have been focusing on recommending items to users (or users to items) and typically do not consider additional contextual information, such as time or location. In this paper we discuss a multidimensional approach to recommender systems that supports additional dimensions capturing the context in which recommendations are made. One of the most important...

We study the isoperimetric problem, the least-perimeter way to enclose given area, in various surfaces. For example, in two-dimensional Twisted Chimney space, a twodimensional analog of one of the ten flat, orientable models for the universe, we prove that isoperimetric regions are round discs or strips. In the Gauss plane, defined as the Euclidean plane with Gaussian density, we prove that in ...

Photonic band gap (PBG) materials are attractive for cavity QED experiments because they provide extremely small mode volumes and are monolithic, integratable structures. As such, PBG cavities are a promising alternative to Fabry-Perot resonators. However, the cavity requirements imposed by QED experiments, such as the need for high Q (low cavity damping) and small mode volumes, present signifi...

A large fraction of recent work in artificial neural nets uses multilayer perceptrons trained with the back-propagation algorithm described by Rumelhart et. a1. This algorithm converges slowly for large or complex problems such as speech recognition, where thousands of iterations may be needed for convergence even with small data sets. In this paper, we show that training multilayer perceptrons...

The World Wide Web (WWW) tends to become the main medium supporting access to information and services to an expanding group of users. The increasing complexity of existing web applications and the volume of data offered often result in user disorientation. Adaptive interaction is proposed by many researchers as an effective means for tackling this problem. In this paper, we present and review ...

A major characteristic of distributed computing systems is their heterogeneity. In practical computing, the computers or processing elements that make up any given distributed system may have varying processing speeds. Efficient loop scheduling schemes for concurrent processing of computational tasks on such systems need to take into consideration, the varying speeds of the component processors...

A popular approach for finding the correspondence between two nonrigid shapes is to embed their twodimensional surfaces into some common Euclidean space, defining the comparison task as a problem of rigid matching in that space. We propose to extend this line of thought and introduce a novel spectral embedding, which exploits gradient fields for point to pointmatching.With this new embedding, a...

Multi-petal, rotating vortices can form in twodimensional flows consisting of an inviscid incompressible fluid under certain conditions. Such vortices are principally nonlinear thermo-hydrodynamical structures. The proper rotation of these structures which leads to time-dependent variations of the associated temperature field can be enregistred by a stationary observer. The problem is analyzed ...

We consider a natural generalization of multiprocessor scheduling, the bin scheduling problem. Here, we model the situation in which working resources are available during separate time windows, or shifts, only. Restricting to scheduling without job preemption, every task must be processed completely during one shift. Our aim is to find a feasible schedule in which the number of required shifts...