Zobrazeno 1 - 10
of 9 505
pro vyhledávání: '"A. Bychkov"'
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal $\hbar$-deformation of the Krichever construction. This property goes back to a 2011 conjecture of Borot and Eynard.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2412.18592
Autor:
Bychkov, Georgii, Dvinskikh, Darina, Antsiferova, Anastasia, Gasnikov, Alexander, Lobanov, Aleksandr
We present a novel gradient-free algorithm to solve a convex stochastic optimization problem, such as those encountered in medicine, physics, and machine learning (e.g., adversarial multi-armed bandit problem), where the objective function can only b
Externí odkaz:
http://arxiv.org/abs/2411.13999
Autor:
Kovalev, Egor, Bychkov, Georgii, Abud, Khaled, Gushchin, Aleksandr, Chistyakova, Anna, Lavrushkin, Sergey, Vatolin, Dmitriy, Antsiferova, Anastasia
Adversarial robustness of neural networks is an increasingly important area of research, combining studies on computer vision models, large language models (LLMs), and others. With the release of JPEG AI - the first standard for end-to-end neural ima
Externí odkaz:
http://arxiv.org/abs/2411.11795
The paper presents the results of a theoretical study of the noise shielding effect of a subsonic turbulent jet located near a rigid screen. The developed theoretical model, based on the methods of the Geometrical Theory of Diffraction (GTD), takes i
Externí odkaz:
http://arxiv.org/abs/2411.09774
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original topological recu
Externí odkaz:
http://arxiv.org/abs/2408.02608
Autor:
Gushchin, Alexander, Abud, Khaled, Bychkov, Georgii, Shumitskaya, Ekaterina, Chistyakova, Anna, Lavrushkin, Sergey, Rasheed, Bader, Malyshev, Kirill, Vatolin, Dmitriy, Antsiferova, Anastasia
In the field of Image Quality Assessment (IQA), the adversarial robustness of the metrics poses a critical concern. This paper presents a comprehensive benchmarking study of various defense mechanisms in response to the rise in adversarial attacks on
Externí odkaz:
http://arxiv.org/abs/2408.01541
Future generations of cellular systems presume to use an extremely high number of antennas to enable mm waves. Increasing the number of antennas requires a growth in connections between a remote radio head (RRH) and a baseband unit (BBU). Therefore,
Externí odkaz:
http://arxiv.org/abs/2407.16478
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type form
Externí odkaz:
http://arxiv.org/abs/2406.07391
Publikováno v:
Journal of Geometry and Physics, V.207 (2024)
In this paper we relate a well-known in symplectic geometry compactification of the space of symmetric bilinear forms considered as a chart of the Lagrangian Grassmannian to the specific compactifications of the space of electrical networks in the di
Externí odkaz:
http://arxiv.org/abs/2406.03021
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
Publikováno v:
Communications in Number Theory and Physics, Volume 18 (2024) Number 4, pp. 795-841
We review the notion of symplectic duality earlier introduced in the context of topological recursion. We show that the transformation of symplectic duality can be expressed as a composition of $x-y$ dualities in a broader context of log topological
Externí odkaz:
http://arxiv.org/abs/2405.10720