24 citations · 84 across the 13 of their papers we have counts for
17 papers
Exponential Convergence of the Sinkhorn Algorithm for the Schrödinger Bridge with Regime Switching
Katharina Eichinger, Anna Kazeykina, Zhenjie Ren +1
This paper studies the convergence of the Sinkhorn algorithm for the Schrödinger bridge problem with regime switching, as introduced in Zlotchevski and Chen (2025). We consider a c…
Dimension-free error estimate for diffusion model and optimal scheduling
Valentin de Bortoli, Romuald Elie, Anna Kazeykina +2
Diffusion generative models have emerged as powerful tools for producing synthetic data from an empirically observed distribution. A common approach involves simulating the time-re…
Entropic Optimal Transport Problem with Convex Functional Cost
Anna Kazeykina, Zhenjie Ren, Xiaozhen Wang +1
We study an entropic optimal transport problem in which the transport plan is penalized by a nonlinear convex functional acting on the coupling. We establish existence, uniqueness,…
Ergodicity of the underdamped mean-field Langevin dynamics
Anna Kazeykina, Zhenjie Ren, Xiaolu Tan +1
We study the long time behavior of an underdamped mean-field Langevin (MFL) equation, and provide a general convergence as well as an exponential convergence rate result under diff…
Game on Random Environment, Mean-field Langevin System and Neural Networks
Giovanni Conforti, Anna Kazeykina, Zhenjie Ren
In this paper we study a type of games regularized by the relative entropy, where the players' strategies are coupled through a random environment variable. Besides the existence a…
Anisotropic compressed sensing for non-Cartesian MRI acquisitions
Philippe Ciuciu, Anna Kazeykina
In the present note we develop some theoretical results in the theory of anisotropic compressed sensing that allow to take structured sparsity and variable density structured sampl…
Mean-field Langevin System, Optimal Control and Deep Neural Networks
Kaitong Hu, Anna Kazeykina, Zhenjie Ren
In this paper, we study a regularised relaxed optimal control problem and, in particular, we are concerned with the case where the control variable is of large dimension. We introd…
Numerical study of blow-up and stability of line solitons for the Novikov-Veselov equation
A. Kazeykina, C. Klein
We study numerically the evolution of perturbed Korteweg-de Vries solitons and of well localized initial data by the Novikov-Veselov (NV) equation at different levels of the "energ…
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II
Anna Kazeykina, Claudio Muñoz
In this paper we continue our study on the Cauchy problem for the two-dimensional Novikov-Veselov (NV) equation, integrable via the inverse scattering transform for the two dimensi…
Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation
Anna Kazeykina, Claudio Muñoz
We consider the Cauchy problem for the two-dimensional Novikov-Veselov equation integrable via the inverse scattering problem for the Schrödinger operator with fixed negative energ…
Absence of sufficiently localized traveling wave solutions for the Novikov-Veselov equation at zero energy
Anna Kazeykina
We demonstrate that the Novikov.Veselov equation (a (2+1)-dimensional analog of KdV) at zero energy does not possess solitons with the space localization stronger than O(|x|^{-4}).
Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy
Anna Kazeykina
We show that the Novikov--Veselov equation (an analog of KdV in dimension 2 + 1) at positive and negative energies does not have solitons with the space localization stronger than…
Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy
Anna Kazeykina
We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.
A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
Anna Kazeykina
In the present paper we are concerned with the Novikov--Veselov equation at negative energy, i.e. with the --dimensional analog of the KdV equation integrable by the met…
Large time asymptotics for the Grinevich-Zakharov potentials
Anna Kazeykina, Roman Novikov
In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 di…
A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy
Anna Kazeykina, Roman Novikov
In the present paper we begin studies on the large time asymptotic behavior for solutions of the Cauchy problem for the Novikov--Veselov equation (an analog of KdV in 2 + 1 dimensi…
Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
Roman Novikov
In this note we show that the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) has no exponentially localized solitons ( in the two-dimensional sens…