2025. 09. 19.

The Rényi Institute is joining the Researchers' Night program series again this year. The researchers are preparing three lectures, and the first lecture will begin on September 26th in the early afternoon, at 2:20 p.m. The title of the lecture is Patient Life Course Analysis with Artificial Intelligence, which will focus on the future of healthcare. How can we utilize the Hungarian patient life course data treasure, the vast amount of health documents and data that has been accumulating in the domestic health IT systems for many years? At what points can artificial intelligence help in this, and how can the work of doctors be supported with statistical analyses and forecasts? Miklós Dezső, Laki Judit, Forrai Botond will present how the research group works in this field, and what breakthroughs may be possible in the near future. Of course, those interested can also discuss these questions in person with the researchers.

The next lecture has the surprising title Stable Marriages and Admission Scores. It starts at 15:20 and Péter Juhász, a researcher in the Methodology Group of the Rényi Institute, recommends this topic as follows: "We cannot promise relationship counseling, we do not know what the secret of long marriages is. But we will talk about the mathematical problem called stable marriages and how this problem is related to admissions. In Hungary, the determination of both high school and university admissions scores is based on this algorithm, and in a sense we can say that it is truly fair. But what does this mean? How does the determination of scores work? And why is it not worth being tactical when determining the order of high schools and universities?" It is a great opportunity for those about to take admissions - or their relatives - to talk about these issues with the expert.

The third lecture of the Researchers' Night will be given by Dániel Varga from 16:40, he is a mathematician in the Artificial Intelligence group. Through his lecture, interested parties can gain an insight into the process by which researchers solved a problem that has been exciting many mathematicians for decades. "What is the maximum fraction of the plane that can be colored such that two colored points cannot be exactly one unit apart?" According to Pál Erdős' conjecture, this fraction cannot reach 1/4. The proof of the conjecture by the institute's mathematicians, which was set for 2023, required the cooperation of several scientific fields: geometry, graph theory, linear programming, harmonic analysis, numerical analysis, artificial intelligence. The lecture does not assume expertise in these fields, but presents the main ideas of the proof in visual language and relies on computer animations.

The venue for the Researchers' Night programs on September 26th is the Great Hall on the 1st floor of the Rényi Institute. You can register for the lectures HERE!