Robotics and Intelligent Machines
During a prolonged time execution, deep recurrent neural networks suffer from the so-called \textit{long-term dependency problem} due to their recurrent connection. Although Long Short-Term…
Systems Software
Blockchain technology shows significant results and huge potential for serving as an interweaving fabric that goes through every industry and market, allowing decentralized and secure value…
Mathematics
In the current research, we consider tilings with T-tetromino and stepwise n^2-omino (figures, constructed by unit squares) and their connection to chain graphs. Also, we examine tilings wit…
Systems Software
Linux processes’ memory visualization (MemVis) is a project which aims to facilitate the users who want easily to observe the memory of a currently running process and moreover to analyze it…
Mathematics
Fourth Award
We study the distortion of an optimal embedding of a perfect binary tree into a Euclidean space with a fixed number of dimensions. The distortion is a characteristic of the embedding, descri…
The paper deals with a Coding Theory problem known as the inverse football pool problem. It is about finding the minimal cardinality T(n) of a covering of Q_n={ 0,1,2} ^n. A covering is here…
The paper deals with finding unions of lines in n-dimensional vector spaces over finite fields which obey the Wolff axiom and have minimal size. We provide an extension of the constructions…
The Wa-Tor problem (from water torus) is a well-known dynamic cell process, aiming to mimic the predator-prey interaction in Biology. It is introduced by Alexander Dewdney in the 80s for two…
Fourth Award
In our previous studies it was demonstrated that the spectrum of the sound produced by liquids while being heated is influenced by their composition. This project is concentrated on developi…
The Resource Public Key Infrastructure (RPKI) has been introduced as a way of authorizing Border Gateway Protocol (BGP) route announcements. The highly centralized structure of the RPKI prov…
We find a depth-first search version of Dhar's burning algorithm that gives a bijection between the parking functions of a multigraph and its spanning trees. Thus we extend a result by Perki…
Mathematics
Due to the high prevalence of immunohistochemistry (IHC) in medicine and biology, the need of fast and accurate semi-quantitative analysis of such IHC images arises. Nowadays such analysis i…
Robotics and Intelligent Machines
Third Award
The topic of this project is influenced by a classical combinatorial geometry open problem, which recently sparked new interest - square covering. It is one of the fields, known to have appl…
Materials Science
Second Award
This project is inspired by a recent breakthrough in the study of the lower central series filtration of unitary associative Lie algebras. We consider the successive quotients of elements (a…