Tootfinder

A semi-Lagrangian scheme for First-Order Mean Field Games based on monotone operators
Elisabetta Carlini, Valentina Coscetti
https://arxiv.org/abs/2506.10509

A semi-Lagrangian scheme for First-Order Mean Field Games based on monotone operators
We construct a semi-Lagrangian scheme for first-order, time-dependent, and non-local Mean Field Games. The convergence of the scheme to a weak solution of the system is analyzed by exploiting a key monotonicity property. To solve the resulting discrete problem, we implement a Learning Value Algorithm, prove its convergence, and propose an acceleration strategy based on a Policy iteration method. Finally, we present numerical experiments that validate the effectiveness of the proposed schemes an…

This https://arxiv.org/abs/2410.02372 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCE_…

Revisiting the Canonicalization for Fast and Accurate Crystal Tensor Property Prediction
Predicting the tensor properties of crystalline materials is a fundamental task in materials science. Unlike single-value property prediction, which is inherently invariant, tensor property prediction requires maintaining O(3) group tensor equivariance. Such equivariance constraint often requires specialized architecture designs to achieve effective predictions, inevitably introducing tremendous computational costs. Canonicalization, a classical technique for geometry, has recently been explore…

This https://arxiv.org/abs/2505.24206 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces
We consider the initial value problem of the compressible Navier-Stokes-Korteweg equations in the whole space $\mathbb{R}^d$ ($d \ge 2$). The purposes of this paper are to obtain the global-in-time solution around the constant equilibrium states $(ρ_*,0)$ and investigate the $L^p$-$L^1$ type time-decay estimates in a scaling critical framework, where $ρ_*>0$ is a constant. In addition, we study the diffusion wave property came from the wave equation with strong damping for the solution with t…

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces
Takayuki Kobayashi, Ryosuke Nakasato
https://arxiv.org/abs/2505.24206

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces
We consider the initial value problem of the compressible Navier-Stokes-Korteweg equations in the whole space $\mathbb{R}^d$ ($d \ge 2$). The purposes of this paper are to obtain the global-in-time solution around the constant equilibrium states $(ρ_*,0)$ and investigate the $L^p$-$L^1$ type time-decay estimates in a scaling critical framework, where $ρ_*>0$ is a constant. In addition, we study the diffusion wave property came from the wave equation with strong damping for the solution with t…

This https://arxiv.org/abs/2203.01664 has been replaced.
link: https://scholar.google.com/scholar?q=a

Tail-GAN: Learning to Simulate Tail Risk Scenarios
The estimation of loss distributions for dynamic portfolios requires the simulation of scenarios representing realistic joint dynamics of their components. We propose a novel data-driven approach for simulating realistic, high-dimensional multi-asset scenarios, focusing on accurately representing tail risk for a class of static and dynamic trading strategies. We exploit the joint elicitability property of Value-at-Risk (VaR) and Expected Shortfall (ES) to design a Generative Adversarial Network…