In the article differential-difference (semi-discrete) lattices of hyperbolic type are investigated from integrability viewpoint. More precisely we concentrate on a method for constructing generalized symmetries. This kind integrable admit two hierarchies symmetries corresponding to discrete and continuous independent variables $n$ $x$. Symmetries direction constructed in more or less standard ...

given a mapping $f:xto x$ we naturally associate to it a monotonic map $gg_f:exp xto exp x$ from the power set of $x$ into itself, thus inducing a generalized topology on $x$. in this paper we investigate some properties of generalized topologies which are defined by such a procedure.

Sketch-based image retrieval (SBIR) is an attractive research area where freehand sketches are used as queries to retrieve relevant images. Existing solutions have advanced the task challenging zero-shot setting (ZS-SBIR), trained models tested on new classes without seen data. However, they prone overfitting under a realistic scenario when test data includes both and unseen classes. In this pa...