in this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...

In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.

Unsupervised open-set domain adaptation (UODA) is a realistic problem where unlabeled target data contain unknown classes. Prior methods rely on the coexistence of both source and to perform alignment, which greatly limits their applications when are restricted due privacy concerns. In this paper we address challenging hypothesis transfer setting for UODA, from no longer available during domain...

We present a 2-step optimal transport approach that performs mapping from source distribution to target distribution. Here, the has particularity new classes not in domain. The first step of aims at rejecting samples issued these using an plan. second solves (class ratio) shift still as problem. develop dual solve optimization problem involved each and we prove our results outperform recent sta...