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Compartmental models provide simple and efficient tools to analyze the relevant transmission processes during an outbreak, to produce short-term forecasts or transmission scenarios, and to assess the impact of vaccination campaigns.…

数值分析 · 数学 2025-02-19 Caterina Millevoi , Damiano Pasetto , Massimiliano Ferronato

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

Forecasting temporal processes such as virus spreading in epidemics often requires more than just observed time-series data, especially at the beginning of a wave when data is limited. Traditional methods employ mechanistic models like the…

人工智能 · 计算机科学 2024-11-12 Thang Nguyen , Dung Nguyen , Kha Pham , Truyen Tran

A physics-informed neural network (PINN) embedded with the susceptible-infected-removed (SIR) model is devised to understand the temporal evolution dynamics of infectious diseases. Firstly, the effectiveness of this approach is demonstrated…

定量方法 · 定量生物学 2025-04-08 Shuai Han , Lukas Stelz , Horst Stoecker , Lingxiao Wang , Kai Zhou

Accurate epidemic forecasting is critical for informing public health decisions and timely interventions. While Physics-Informed Neural Networks have shown promise in various scientific domains, their potential application to real-time…

物理与社会 · 物理学 2026-05-20 Martina Rama , Gabriele Santin , Giulia Cencetti , Michele Tizzoni , Bruno Lepri

We discuss nonlinear model predictive control (NMPC) for multi-body dynamics via physics-informed machine learning methods. Physics-informed neural networks (PINNs) are a promising tool to approximate (partial) differential equations. PINNs…

最优化与控制 · 数学 2021-09-23 Jonas Nicodemus , Jonas Kneifl , Jörg Fehr , Benjamin Unger

Reaction-diffusion epidemic models with vital dynamics are an important framework for describing the spatial and temporal spread of infectious diseases. In this work, we present a constraint-aware, physics-informed neural network (PINN)…

动力系统 · 数学 2026-05-20 Achraf Zinihi , Matthias Ehrhardt

When investigating epidemic dynamics through differential models, the parameters needed to understand the phenomenon and to simulate forecast scenarios require a delicate calibration phase, often made even more challenging by the scarcity…

数值分析 · 数学 2023-09-11 Giulia Bertaglia , Chuan Lu , Lorenzo Pareschi , Xueyu Zhu

In this work, we present an approach called Disease Informed Neural Networks (DINNs) that can be employed to effectively predict the spread of infectious diseases. This approach builds on a successful physics informed neural network…

机器学习 · 计算机科学 2022-08-26 Sagi Shaier , Maziar Raissi , Padmanabhan Seshaiyer

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

机器人学 · 计算机科学 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge

We develop a physics-informed neural network (PINN) framework for parameter estimation in fractional-order SEIRD epidemic models. By embedding the Caputo fractional derivative into the network residuals via the L1 discretization scheme, our…

机器学习 · 统计学 2025-09-30 Achraf Zinihi

Physics-Informed Neural Network (PINN) is a deep learning framework that integrates the governing equations underlying data into a loss function. In this study, we consider the problem of estimating state variables and parameters in…

符号计算 · 计算机科学 2025-08-07 Mizuka Komatsu

Inferring biophysical parameters and hidden state variables from partial and noisy observations is a fundamental challenge in computational neuroscience. This problem is particularly difficult for fast - slow spiking and bursting models,…

神经与进化计算 · 计算机科学 2026-03-11 Changliang Wei , Yangyang Wang , Xueyu Zhu

This work focuses on understanding the minimum eradication time for the controlled Susceptible-Infectious-Recovered (SIR) model in the time-homogeneous setting, where the infection and recovery rates are constant. The eradication time is…

最优化与控制 · 数学 2026-01-27 Minseok Kim , Yeongjong Kim , Yeoneung Kim

Physics-informed neural networks (PINNs) integrate physical laws with data-driven models to improve generalization and sample efficiency. This work introduces an open-source implementation of the Physics-Informed Neural Network with Control…

机器学习 · 计算机科学 2025-04-29 Abdelhakim Amer , David Felsager , Yury Brodskiy , Andriy Sarabakha

This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

The spread of many infectious diseases is modeled using variants of the SIR compartmental model, which is a coupled differential equation. The coefficients of the SIR model determine the spread trajectories of disease, on whose basis…

机器学习 · 计算机科学 2023-03-28 Ritam Majumdar , Shirish Karande , Lovekesh Vig

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

计算物理 · 物理学 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

The COVID-19 pandemic has highlighted the need for quantitative modeling and analysis to understand real-world disease dynamics. In particular, post hoc analyses using compartmental models offer valuable insights into the effectiveness of…

机器学习 · 计算机科学 2025-10-09 Phillip Rothenbeck , Sai Karthikeya Vemuri , Niklas Penzel , Joachim Denzler
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