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We present an epidemiological model for vector-borne diseases that includes within-host viral load and antibody dynamics using structured transport equations. By incorporating the internal dynamics into the infected and recovered host…

Analysis of PDEs · Mathematics 2026-05-26 Paulo Amorim , Maria Soledad Aronna , Debora de Oliveira Medeiros

Robustness verification of neural networks, referring to formally proving that neural networks satisfy robustness properties, is of crucial importance in safety-critical applications, where model failures can result in loss of human life or…

Machine Learning · Computer Science 2026-04-06 Minh Le , Phuong Cao

In this paper we study a rational inattention model in environments where the decision maker faces uncertainty about the true prior distribution over states. The decision maker seeks to select a stochastic choice rule over a finite set of…

Theoretical Economics · Economics 2023-05-08 Emerson Melo

This work introduces a novel epidemiological model that simultaneously considers multiple viral strains, reinfections due to waning immunity response over time and an optimal control formulation. This enables us to derive optimal mitigation…

Systems and Control · Electrical Eng. & Systems 2021-09-10 Edilson F. Arruda , Dayse H. Pastore , Clauda M. Dias , Shyam S. Das

The effective reproduction number $R_t$ measures an infectious disease's transmissibility as the number of secondary infections in one reproduction time in a population having both susceptible and non-susceptible hosts. Current approaches…

Methodology · Statistics 2020-12-04 Marcos A. Capistrán , Antonio Capella , J. Andrés Christen

Regression tasks, notably in safety-critical domains, require proper uncertainty quantification, yet the literature remains largely classification-focused. In this light, we introduce a family of measures for total, aleatoric, and epistemic…

Machine Learning · Computer Science 2025-10-30 Christopher Bülte , Yusuf Sale , Gitta Kutyniok , Eyke Hüllermeier

Epidemics of communicable diseases place a huge burden on public health infrastructures across the world. Producing accurate and actionable forecasts of infectious disease incidence at short and long time scales will improve public health…

Safety is often the most important requirement in robotics applications. Nonetheless, control techniques that can provide safety guarantees are still extremely rare for nonlinear systems, such as robot manipulators. A well-known tool to…

Robotics · Computer Science 2024-10-28 Asia La Rocca , Matteo Saveriano , Andrea Del Prete

We present a novel distributionally robust framework for dynamic programming that uses kernel methods to design feedback control policies. Specifically, we leverage kernel mean embedding to map the transition probabilities governing the…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Licio Romao , Ashish R. Hota , Alessandro Abate

In this paper, we develop a robust economic model predictive controller for the containment of stochastic Susceptible-Exposed-Infected-Vigilant (SEIV) epidemic processes which drives the process to extinction quickly, while minimizing the…

Optimization and Control · Mathematics 2019-05-14 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

Ensuring safe navigation in human-populated environments is crucial for autonomous mobile robots. Although recent advances in machine learning offer promising methods to predict human trajectories in crowded areas, it remains unclear how…

Robotics · Computer Science 2024-03-11 Kanghyun Ryu , Negar Mehr

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

Optimization and Control · Mathematics 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

In this paper, we study the robust consensus problem for a set of discrete-time linear agents to coordinate over an uncertain communication network, which is to achieve consensus against the transmission errors and noises resulted from the…

Systems and Control · Computer Science 2017-03-30 Zhongkui Li , Jie Chen

Clinicians make routine diagnosis by scrutinizing patients' medical signs and symptoms, a skill popularly referred to as "Clinical Eye". This skill evolves through trial-and-error and improves with time. The success of the therapeutic…

Quantitative Methods · Quantitative Biology 2021-09-16 Amit K Chattopadhyay , Subhagata Chattopadhyay

Arboviruses represent a significant threat to human, animal, and plant health worldwide. To elucidate transmission, anticipate their spread and efficiently control them, mechanistic modelling has proven its usefulness. However, most models…

Populations and Evolution · Quantitative Biology 2024-08-06 Léa Loisel , Vincent Raquin , Maxime Ratinier , Pauline Ezanno , Gaël Beaunée

As deep neural networks (DNNs) get adopted in an ever-increasing number of applications, explainability has emerged as a crucial desideratum for these models. In many real-world tasks, one of the principal reasons for requiring…

Artificial Intelligence · Computer Science 2020-07-03 Vedant Nanda , Till Speicher , John P. Dickerson , Krishna P. Gummadi , Muhammad Bilal Zafar

This paper studies if and to which extent COVID-19 epidemics can be controlled by authorities taking decisions on public health measures on the basis of daily reports of swab test results, active cases and total cases. A suitably simplified…

Physics and Society · Physics 2020-07-22 Francesco Casella

We develop a novel data-driven robust model predictive control (DDRMPC) approach for automatic control of irrigation systems. The fundamental idea is to integrate both mechanistic models, which describe dynamics in soil moisture variations,…

Systems and Control · Computer Science 2020-06-16 Chao Shang , Wei-Han Chen , Abraham Duncan Stroock , Fengqi You

Infectious disease outbreaks recapitulate biology: they emerge from the multi-level interaction of hosts, pathogens, and their shared environment. As a result, predicting when, where, and how far diseases will spread requires a complex…

Physics and Society · Physics 2018-10-11 Samuel V. Scarpino , Giovanni Petri
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