Multidimensional scaling (MDS) is a technique for visualizing the relationships among data that are similar to each other on very many dimensions. For example, meanings of words such as indefinite pronouns are similar to each other by virtue of being expressed by the same indefinite pronoun in one language or another (Haspelmath 1997). If one compares indefinite pronouns of a large number of la...

We study exclusion processes on the integer lattice in which particles change their velocities due to stickiness. Specifically, whenever two or more particles occupy adjacent sites, they stick together for an extended period of time, and the entire particle system is slowed down until the “collision” is resolved. We show that under diffusive scaling of space and time such processes converge to ...

The analysis of 3D nonrigid objects usually involves the need to deal with a large number of degrees of freedom. When trying to match two such objects, one approach is to map the surfaces into a domain in which the matching process is simple to execute. Limiting the discussion to almost isometric mappings, which describe most natural deformations in nature, one could resort to Canonical forms. ...

In this paper, determining the localization of nodes in a Wireless Sensor Network is a very important task, which involves collaboration between sensor nodes. Localization is a fundamental service since it is relevant to many applications and to the network main functions, such as: routing, communication, cluster creation, network coverage, etc. Collaboration is essential to self-localization, ...

A wide range of applications used in wireless sensor networks requires location information of multimedia sensor nodes. In general, the topographical location information of data acquired by a sensor is applied for smart, interactive multimedia services. However, conventional techniques employ GPS or other location-tracking devices installed on sensor nodes and thus incur additional costs, maki...

For a given metric measure space ( X , d, μ ) we consider finite samples of points, calculate the matrix distances between them and then reconstruct points in some finite-dimensional using multidimensional scaling (MDS) algorithm with this distance as an input. We show that procedure gives natural limit number grows to infinity density approaches μ. This can be viewed “infinite MDS” embedding o...

Scaling and SVM Zhanquan Sun, Geoffrey Fox a. Key Laboratory for Computer Network of Shandong Province, Shandong Computer Science Center, Jinan, Shandong, 250014, China b. School of Informatics and Computing, Pervasive Technology Institute, Indiana University Bloomington, Bloomington, Indiana, 47408, USA Abstract: Traffic flow forecasting is a popular research topic of Intelligent Transportatio...

Visual data mining is an efficient way to involve human in search for a optimal decision. This paper focuses on the optimization of the visual presentation of multidimensional data. A variety of methods for projection of multidimensional data on the plane have been developed. At present, a tendency of their joint use is observed. In this paper, two consequent combinations of the self-organizing...

Although traditional methods to collect similarity data (for multidimensional scaling [MDS]) are robust, they share a key shortcoming. Specifically, the possible pairwise comparisons in any set of objects grow rapidly as a function of set size. This leads to lengthy experimental protocols, or procedures that involve scaling stimulus subsets. We review existing methods of collecting similarity d...