Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Tse, Oliver"'
Configuration Optimization Problems (COPs), which involve minimizing a loss function over a set of discrete points $\boldsymbol{\gamma} \subset P$, are common in areas like Model Order Reduction, Active Learning, and Optimal Experimental Design. Whil
Externí odkaz:
http://arxiv.org/abs/2410.17938
This chapter focuses on the derivation of a doubly nonlocal Fisher-KPP model, which is a macroscopic nonlocal evolution equation describing population dynamics in the large population limit. The derivation starts from a microscopic individual-based m
Externí odkaz:
http://arxiv.org/abs/2406.05894
We consider a one-dimensional hydrodynamic model featuring nonlocal attraction-repulsion interactions and singular velocity alignment. We introduce a two-velocity reformulation and the corresponding energy-type inequality, in the spirit of the Bresch
Externí odkaz:
http://arxiv.org/abs/2402.07130
Environmental noise on a controlled quantum system is generally modeled by a dissipative Lindblad equation. This equation describes the average state of the system via the density matrix $\rho$. One way of deriving this Lindblad equation is by introd
Externí odkaz:
http://arxiv.org/abs/2401.11758
Among various rare events, the effective computation of transition paths connecting metastable states in a stochastic model is an important problem. This paper proposes a stochastic optimal control formulation for transition path problems in an infin
Externí odkaz:
http://arxiv.org/abs/2311.07795
The acceleration of gradient-based optimization methods is a subject of significant practical and theoretical importance, particularly within machine learning applications. While much attention has been directed towards optimizing within Euclidean sp
Externí odkaz:
http://arxiv.org/abs/2310.04006
In this paper, we explore the convergence of the semi-discrete Scharfetter-Gummel scheme for the aggregation-diffusion equation using a variational approach. Our investigation involves obtaining a novel gradient structure for the finite volume space
Externí odkaz:
http://arxiv.org/abs/2306.02226
We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation rate functional for the Kac process which is closely linked to the FC s
Externí odkaz:
http://arxiv.org/abs/2211.07265
Autor:
Hoeksema, Jasper, Tse, Oliver
We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variations of the Bolker-Pacala-Dieckmann-Law model. Under the assumption of
Externí odkaz:
http://arxiv.org/abs/2207.00853
Publikováno v:
Quantum 7, 908 (2023)
This work studies pulse based variational quantum algorithms (VQAs), which are designed to determine the ground state of a quantum mechanical system by combining classical and quantum hardware. In contrast to more standard gate based methods, pulse b
Externí odkaz:
http://arxiv.org/abs/2202.08908