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pro vyhledávání: '"A Rossen"'
Maintaining numerical stability in machine learning models is crucial for their reliability and performance. One approach to maintain stability of a network layer is to integrate the condition number of the weight matrix as a regularizing term into t
Externí odkaz:
http://arxiv.org/abs/2410.00169
Autor:
Ivanov, Rossen I.
Publikováno v:
Henry, D. (ed.) Nonlinear Dispersive Waves. Advances in Mathematical Fluid Mechanics, Birkh\"auser, Cham, 2024; pp 81-97
A single incompressible, inviscid, irrotational fluid medium bounded above by a free surface is considered. The Hamiltonian of the system is expressed in terms of the so-called Dirichlet-Neumann operators. The equations for the surface waves are pres
Externí odkaz:
http://arxiv.org/abs/2409.03091
Autor:
Ionescu-Kruse, Delia, Ivanov, Rossen
Publikováno v:
Journal of Differential Equations 368 (2023), Pages 317-349
We consider the two-dimensional water-wave problem with a general non-zero vorticity field in a fluid volume with a flat bed and a free surface. The nonlinear equations of motion for the chosen surface and volume variables are expressed with the aid
Externí odkaz:
http://arxiv.org/abs/2409.00446
Autor:
Curtin, Conor T., Ivanov, Rossen I.
Publikováno v:
J. Math. Fluid Mech. 25, (2023) art. nr. 87
The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potential energy of the system. In the case of fluid with constant vorticity,
Externí odkaz:
http://arxiv.org/abs/2406.00202
Autor:
Ivanov, Rossen I.
Publikováno v:
Applied Mathematics Letters 142 (2023) 108653
The propagation of water waves of finite depth and flat bottom is studied in the case when the depth is not small in comparison to the wavelength. This propagation regime is complementary to the long-wave regime described by the famous KdV equation.
Externí odkaz:
http://arxiv.org/abs/2405.19344
Autor:
Mortensen, Anton Bjørndahl, Pedersen, Emil Tribler, Benedicto, Laia Vives, Burg, Lionel, Madsen, Mads Rossen, Bøgh, Simon
We address the challenge of enhancing navigation autonomy for planetary space rovers using reinforcement learning (RL). The ambition of future space missions necessitates advanced autonomous navigation capabilities for rovers to meet mission objectiv
Externí odkaz:
http://arxiv.org/abs/2309.12807
Autor:
Ivanov, Rossen I.
Publikováno v:
AIP Conf. Proc. 2953, 020002 (2023)
The article surveys the recent results on integrable systems arising from quadratic pencil of Lax operator L, with values in a Hermitian symmetric space. The counterpart operator M in the Lax pair defines positive, negative and rational flows. The re
Externí odkaz:
http://arxiv.org/abs/2309.12509
The recovery of a signal from the magnitudes of its transformation, like the Fourier transform, is known as the phase retrieval problem and is of big relevance in various fields of engineering and applied physics. In this paper, we present a fast ine
Externí odkaz:
http://arxiv.org/abs/2306.12504
The phase retrieval problem is found in various areas of applications of engineering and applied physics. It is also a very active field of research in mathematics, signal processing and machine learning. In this paper, we present an accelerated vers
Externí odkaz:
http://arxiv.org/abs/2304.12905
Publikováno v:
Phys. Lett. A 493, 129261 (2024)
Topological invariants such as winding numbers and linking numbers appear as charges of topological solitons in diverse nonlinear physical systems described by a unit vector field defined on two and three dimensional manifolds. While the Gauss-Bonnet
Externí odkaz:
http://arxiv.org/abs/2304.06240