Lip contour detection is regarded as an essential issue in many applications such as personal identification, facial expressions classification, and man-machine interaction. Moreover, semi-supervised learning is utilized to automatically exploit unlabeled data in addition to labeled data to improve the performance of certain machine learning approaches. In this paper, three contour preprocessin...

We provide a systematic deterministic numerical scheme to approximate the volume (i.e., Lebesgue measure) of basic semi-algebraic set whose description follows correlative sparsity pattern. As in previous works (without sparsity), underlying strategy is consider an infinite-dimensional linear program on measures optimal value set. This particular instance generalized moment problem which turn c...

We present a system that implements an end-to-end discourse parser. The system uses a pipeline architecture with seven stages: preprocessing, recognizing explicit connectives, identifying argument positions, identifying and labeling arguments, classifying explicit and implicit connectives, and identifying attribution structures. The discourse structure of a document is inferred based on these c...

In this paper, we introduce a new class of sets, namely semi*δ-open sets, using δ-open sets and the generalized closure operator. We find characterizations of semi*δ-open sets. We also define the semi*δ-interior of a subset. Further, we study some fundamental properties of semi*δ-open sets and semi*δ-interior.

Consider a semi-algebraic set A in R constructed from the sets which are determined by inequalities pi(x) > 0, pi(x) ≥ 0, or pi(x) = 0 for a given list of polynomials p1, . . . , pm. We prove several statements that fit into the following template. Assume that in a neighborhood of a boundary point the semi-algebraic set A can be described by an irreducible polynomial f . Then f is a factor of a...

In this paper our focus is to study certain covering properties in topological spaces by using semi-open covers. A part of this article deals with Rothberger-type covering properties. The notions of s-Rothberger, almost s-Rothberger, star s-Rothberger, almost star s-Rothberger, strongly star s-Rothberger spaces are defined and corresponding properties are investigated.

Given a ∨ -complete (semi)lattice L, we consider L-labeled transition systems as coalgebras of a functor L(−), associating with a set X the set LX of all L-fuzzy subsets. We describe simulations and bisimulations of L-coalgebras to show that L(−) weakly preserves nonempty kernel pairs iff it weakly preserves nonempty pullbacks iff L is join infinitely distributive (JID). Exchanging L for a comm...