Biomedical and Health Sciences
Protamine 1 (PRM1) and protamine 2 (PRM2) are essential for packaging sperm DNA and maintaining genome stability during spermatogenesis. Changes in their expression levels are associated wit…
Robotics and Intelligent Machines
Using numerous task-specialized large language models in deployment is often constrained by the storage footprint of fine-tuned checkpoints and significant cold-start latency during loading.…
Mathematics
An equation f(x)=a, where f is a complex meromorphic function and a is a parameter, is solvable in elementary functions if the inverse map x=f^{-1}(a) can be expressed as a finite compositio…
Translational Medical Science
Diabetes mellitus (DM) is a very common disease affecting millions of people worldwide. In light of its widespread prevalence, researchers are looking for therapeutic targets they can influe…
Mathematics
For a polynomial P(x) with integer coefficients and a maximum positive integer root m, we consider the product of its values from x=m+1 to n and denote it as Fp(n). Building up on previous w…
Behavioral and Social Sciences
In many scenarios, from democratic governance to decision-making in corporate boards and international organizations, voting plays a crucial role. However, not all votes carry the same weigh…
Robotics and Intelligent Machines
This paper presents an approach to utilizing Large Language Models (LLMs) for the control and coordination of robotic swarms. It explores how LLMs can improve the efficiency of swarm robotic…
Physics and Astronomy
The discovery of graphenes and fullerenes sparked a surge of interest in the understanding of their structures and properties. One approach, proposed by Friedrich, Seitz and Stefanelli stems…
Mathematics
Fourth Award
We explore knots. If we allow self-intersections, we get Singular knots. To distinguish different knots, invariant functions are used. A function from the set of knots to a ring is called a…
Mathematics
We introduce the slice rank polynomial method with its origins from the Cap Set problem and focus on two applications. We look into colorings of R^n with no more than 2^O(n) monochromatic eq…
Systems Software
With the perpetual increase of complexity of the state-of-the-art deep neural networks, it becomes a more and more challenging task to maintain their interpretability. Our work aims to evalu…
Mathematics
Dummit, Granville and Kisilevsky have recently shown that the proportion of semiprimes (products of two primes) not exceeding a given x, whose factors are congruent to 3 modulo 4, is more th…
Robotics and Intelligent Machines
Conversational agents are increasingly used in a wide range of fields, from entertainment or manufacturing to finance or healthcare, since they facilitate human-machine interactions and can…
Mathematics
In this project we aim to study the structures of graph, generated by the transformations x? kx^n in Zp, with the goal to obtain results, in a sense equivalent to the result in Lee Deville's…
Computational Biology and Bioinformatics
With the application of machine learning techniques to various fields (for example, computer vision and healthcare), the problem of interpretability is gaining importance. Building transpare…
Biomedical Engineering
The duplication of genetic information (DNA replication) is central to life. Numerous control mechanisms ensure the exact course of the process during each cell division. Disturbances of DNA…
Mathematics
The max-cut problem as part of extremal combinatorics was formulated by Paul Erdos in the 1960s. Multiple papers have been written on the topic regarding its role in mathematics as an extrem…
Robotics and Intelligent Machines
Some of the most common machine learning pipelines with real-world applications in the fields of healthcare, finance and marketing involve manipulation of tabular data. In recent years multi…
Systems Software
USB mass storage devices security has been a leading issue in cybersecurity for decades. Attacks like Stuxnet and Flame and USB exploitation methods like BadUSB and Cottonmouth-I demonstrate…
Robotics and Intelligent Machines
Despite the success of machine learning models in an expansive range of tasks, they are still surprisingly brittle to seemingly inconspicuous input manipulations, called adversarial examples…
Robotics and Intelligent Machines
Fourth Award
Abstract reasoning and logic inference are difficult problems for neural networks, yet essential to their applicability in highly structured domains. In this work, the Neural Abstract Reason…
Mathematics
A graph represents a group of objects (network) and the relations between them. This research introduces ranking of vertices – a mathematical concept, applied to various areas (Google search…
Behavioral and Social Sciences
Second Award
Emotions are a key aspect of being human. Yet our technological tools largely ignore that. It is reasonable to expect that the next stage of personal assistants can also recognize and react…
Systems Software
The Universal Serial Bus is a serial communication standard that is implemented in most of the computer-like devices in the world. Despite its acceptance, government and private entities hav…
Robotics and Intelligent Machines
While deep reinforcement learning has achieved some impressive results in the past years, it suffers from poor sample efficiency and an inablily to generalize, since they learn to manipulate…
Mathematics
We propose a generalization of Artin's conjecture on primitive roots to the ring Z[i] of Gaussian integers. We conjecture that for a fixed positive integer q, every non-zero Gaussian integer…
Computational Biology and Bioinformatics
In brain research, an important step after staining and imaging the different brain cells is their phenotyping. In this research, we work with patches of images, taken with CLARITY and aim t…
Systems Software
Creating efficient deep neural networks involves repetitive manual optimization of the topology and the hyperparameters. This human intervention significantly inhibits the process. Recent pu…
Mathematics
This paper shows a thorough examination of fully homomorphic encryption schemes and their performance in programs. We do an analysis of one specific, widely-used scheme – the Gentry-Sahai-Wa…
Mathematics
Third Award
The concept of a free object is one that relates to all kinds of algebraic structures, i.e. free groups, free algebras. In this project we investigate one of the most fundamental free object…