Artificial intelligence is a working tool based on a balanced combination of algorithms and engineering. Experts and doctoral students from the HSE Moscow Institute of Electronics and Mathematics explain how AI technologies can improve an application, device, or system, and what engineering tasks are solved in the process.
Whatever task Saraa Ali, Junior Research Fellow at the Laboratory of Methods for Big Data Analysis (LAMBDA) of the AI and Digital Science Institute (HSE Faculty of Computer Science), is working on, she thinks about how it can benefit people. She told the Young Scientists of HSE University project about her large family, diagnosing three-phase motors, and her dream of building a children’s home in her native country.
The Dunning–Kruger effect, which describes a sharp surge in self-confidence among beginners followed by an equally rapid decline as they gain experience, can be explained by the nature of the learning process and the acquisition of new knowledge. This conclusion was reached by Andrey Vorchik of the HSE Faculty of Economic Sciences together with independent researcher Murat Mamyshev. They developed a mathematical model of learning and demonstrated how subjective confidence is formed and changes as knowledge accumulates, as well as how teachers can reduce the ‘valley of despair’ experienced by learners.
Беззубцев А. С., Быков Ф. Л., Gordin V. A., В кн.: Современные проблемы математического моделирования: сборник трудов XVIII Всероссийской конференции-школы молодых исследователей (пос. Абрау-Дюрсо, 16–20 сентября 2019 г.).: Ростов н/Д: Издательство ЮФУ, 2019. Гл. 5 С. 25–31.
Algorithms for three-dimensional visualization of atmospheric front surfaces have been developed. Previously, the technology of visualization of intersections of atmospheric fronts with isobaric levels was implemented. These are curves that show the intensity and type of the atmospheric front in color. At this stage, it was necessary a) to find out which curves at different ...
Kondo S., Yasuda S., Journal of Number Theory 2012 Vol. 132 No. 9 P. 1910–1948
Formulas (Theorems 3.5 and 4.1) which express the local L-factor and the local epsilon factor of an irreducible admissible representation of GL_d over a non-archimedean local field in terms of the eigenvalues of some explicitly given Hecke operators are derived. ...
Budylin R., Математический сборник 2014 Т. 205 № 8 С. 3–12
Мы изучаем некоторое расширение дискретной группы Гейзенберга, возникающее в теории групп петель, и находим инварианты, разделяющие классы сопряженности в этой группе. В некоторых случаях, включая целочисленную группу Гейзенберга, мы находим эти инварианты явно. ...
Positselski L., Journal of Number Theory 2014 Vol. 145 P. 126–152
We prove that the Milnor ring of any (one-dimensional) local or global field K modulo a prime number l is a Koszul algebra over Z/l. Under mild assumptions that are only needed in the case l=2, we also prove various module Koszulity properties of this algebra. This provides evidence in support of Koszulity conjectures that ...