In many real-world applications (e.g. social media application), data usually consists of diverse input modalities that originates from various heterogeneous sources. Learning a similarity measure for such data is of great importance for vast number of applications such as classification, clustering, retrieval, etc. Defining an appropriate distance metric between data points with multiple modal...

Due to the massive explosion of multimedia content on the web, users demand a new type of information retrieval, called cross-modal multimedia retrieval where users submit queries of one media type and get results of various other media types. Performing effective retrieval of heterogeneous multimedia content brings new challenges. One essential aspect of these challenges is to learn a heteroge...

The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only they satisfy the same formulas in a certain modal logic. In this paper we study type result general context, moving from systems to coalgebras bisimilarity coinductive predicates. We formulate when logic fully characterises predicate on coalgebras, by providing suitable noti...

nonlinear static procedure (nsp) is a common technique to predict seismic demands on various building structures by subjecting a monotonically increasing horizontal loading (pushover) to the structure. therefore, the pushover analysis is an important part of each nsp. accordingly, the current paper aims at investigating the efficiencyof various algorithms of lateral load patterns applied to the...

This paper proposes a new approach for Cross Modal Matching, i.e. the matching of patterns represented in different modalities, when pairs of same/different data are available for training (e.g. faces of same/different persons). In this situation, standard approaches such as Partial Least Squares (PLS) or Canonical Correlation Analysis (CCA), map the data into a common latent space that maximiz...

The concept of an intuitionistic fuzzy neighbourhood is introduced. This notion turns out to be more sensitive to variations in the different points of the universe compared to the standard neighbourhood definition of metric space. We apply the intuitionistic fuzzy neighbourhood to the extended modal operators, defined over intuitionistic fuzzy sets.

The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...