Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Yannacopoulos, Athanasios N."'
We present a stability analysis of Physics-Informed Neural Networks (PINNs) coupled with random projections, for the numerical solution of (stiff) linear differential equations. For our analysis, we consider systems of linear ODEs, and linear parabol
Externí odkaz:
http://arxiv.org/abs/2408.15393
Within the family of explainable machine-learning, we present Fredholm neural networks (Fredholm NNs), deep neural networks (DNNs) which replicate fixed point iterations for the solution of linear and nonlinear Fredholm Integral Equations (FIE) of th
Externí odkaz:
http://arxiv.org/abs/2408.09484
Autor:
Fabiani, Gianluca, Kevrekidis, Ioannis G., Siettos, Constantinos, Yannacopoulos, Athanasios N.
Publikováno v:
Journal of Computational Physics, 520, 113433 (2025)
Deep Operator Networks (DeepOnets) have revolutionized the domain of scientific machine learning for the solution of the inverse problem for dynamical systems. However, their implementation necessitates optimizing a high-dimensional space of paramete
Externí odkaz:
http://arxiv.org/abs/2406.05470
Autor:
Koundouri, Phoebe, Papayiannis, Georgios I., Vassilopoulos, Achilleas, Yannacopoulos, Athanasios N.
Publikováno v:
Journal of the Royal Statistical Society Series A: Statistics in Society, 2024, qnae046
This study presents a novel approach to assessing food security risks at the national level, employing a probabilistic scenario-based framework that integrates both Shared Socioeconomic Pathways (SSP) and Representative Concentration Pathways (RCP).
Externí odkaz:
http://arxiv.org/abs/2312.04428
Autor:
Koundouri, Phoebe, Papayiannis, Georgios I., Petracou, Electra V., Yannacopoulos, Athanasios N.
Publikováno v:
Environmental and Resource Economics, 2024
In this paper we propose a consensus group decision making scheme under model uncertainty consisting of an iterative two-stage procedure and based on the concept of Fr\'echet barycenter. Each step consists of two stages: the agents first update their
Externí odkaz:
http://arxiv.org/abs/2312.00436
In this paper we develop a framework for estimating Probability of Default (PD) based on stochastic models governing an appropriate asset value processes. In particular, we build upon a L\'evy-driven Ornstein-Uhlenbeck process and consider a generali
Externí odkaz:
http://arxiv.org/abs/2309.12384
In this paper, we study a stochastic parabolic problem involving a nonlocal diffusion operator associated with nonlocal Robin-type boundary conditions. The stochastic dynamics under consideration are driven by a mixture of a classical Brownian and a
Externí odkaz:
http://arxiv.org/abs/2305.05946
Autor:
Calvia, Alessandro, Gozzi, Fausto, Leocata, Marta, Papayiannis, Georgios I., Xepapadeas, Anastasios, Yannacopoulos, Athanasios N.
We introduce a spatial economic growth model where space is described as a network of interconnected geographic locations and we study a corresponding finite-dimensional optimal control problem on a graph with state constraints. Economic growth model
Externí odkaz:
http://arxiv.org/abs/2304.11568
Publikováno v:
Scandinavian Actuarial Journal, 2018:9, 792-822
We propose a novel class of convex risk measures, based on the concept of the Fr\'echet mean, designed in order to handle uncertainty which arises from multiple information sources regarding the risk factors of interest. The proposed risk measures ro
Externí odkaz:
http://arxiv.org/abs/2209.05211
Publikováno v:
In Regional Science and Urban Economics November 2024 109
