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The purpose of time series analysis via mechanistic models is to reconcile the known or hypothesized structure of a dynamical system with observations collected over time. We develop a framework for constructing nonlinear mechanistic models…

统计理论 · 数学 2009-06-08 Carles Bretó , Daihai He , Edward L. Ionides , Aaron A. King

Probabilistic model checking is a technique for formal automated reasoning about software or hardware systems that operate in the context of uncertainty or stochasticity. It builds upon ideas and techniques from a diverse range of fields,…

计算机科学中的逻辑 · 计算机科学 2023-08-08 David Parker

We consider the problem of generating randomized control sequences for complex networked systems typically actuated by human agents. Our approach leverages a concept known as control improvisation, which is based on a combination of…

系统与控制 · 计算机科学 2016-11-18 Ilge Akkaya , Daniel J. Fremont , Rafael Valle , Alexandre Donzé , Edward A. Lee , Sanjit A. Seshia

Generating accurate runtime safety estimates for autonomous systems is vital to ensuring their continued proliferation. However, exhaustive reasoning about future behaviors is generally too complex to do at runtime. To provide scalable and…

计算机科学中的逻辑 · 计算机科学 2023-03-30 Matthew Cleaveland , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

The focus of this paper is the analysis of real-time systems with recursion, through the development of good theoretical techniques which are implementable. Time is modeled using clock variables, and recursion using stacks. Our technique…

形式语言与自动机理论 · 计算机科学 2017-07-11 S. Akshay , Paul Gastin , Shankara Narayanan Krishna , Ilias Sarkar

Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of…

形式语言与自动机理论 · 计算机科学 2023-06-22 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

We study discrete-time predictable forward processes when trading times do not coincide with performance evaluation times in a binomial tree model for the financial market. The key step in the construction of these processes is to solve a…

数理金融 · 定量金融 2023-12-05 Gechun Liang , Moris S. Strub , Yuwei Wang

We consider the value 1 problem for probabilistic automata over finite words: it asks whether a given probabilistic automaton accepts words with probability arbitrarily close to 1. This problem is known to be undecidable. However, different…

形式语言与自动机理论 · 计算机科学 2017-09-12 Nathanaël Fijalkow

Critical real-time systems must be verified to avoid the risk of dramatic consequences in case of failure. Thales developed an open formalism Time4sys to model real-time systems, with expressive features such as periodic or sporadic tasks,…

软件工程 · 计算机科学 2019-07-31 Étienne André

Graphical models in probability and statistics are a core concept in the area of probabilistic reasoning and probabilistic programming-graphical models include Bayesian networks and factor graphs. In this paper we develop a new model of…

人工智能 · 计算机科学 2022-01-20 Albert Benveniste , Jean-Baptiste Raclet

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

A new weak bisimulation semantics is defined for Markov automata that, in addition to abstracting from internal actions, sums up the expected values of consecutive exponentially distributed delays possibly intertwined with internal actions.…

计算机科学中的逻辑 · 计算机科学 2015-09-30 Alessandro Aldini , Marco Bernardo

We provide a novel method for sensitivity analysis of parametric robust Markov chains. These models incorporate parameters and sets of probability distributions to alleviate the often unrealistic assumption that precise probabilities are…

机器学习 · 计算机科学 2023-05-03 Thom Badings , Sebastian Junges , Ahmadreza Marandi , Ufuk Topcu , Nils Jansen

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

形式语言与自动机理论 · 计算机科学 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

Probabilistic Cellular Automata are extended stochastic systems, widely used for modelling phenomena in many disciplines. The possibility of controlling their behaviour is therefore an important topic. We shall present here an approach to…

元胞自动机与格子气 · 物理学 2024-03-07 Franco Bagnoli , Sara Dridi , Samira El Yacoubi , Raul Rechtman

This paper develops an assume-guarantee (AG) framework for the compositional verification of probabilistic automata (PAs) with uncertain transition probabilities. We study parametric probabilistic automata (pPAs), where probabilities are…

计算机科学中的逻辑 · 计算机科学 2026-04-01 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

Stochastic mathematical models are essential tools for understanding and predicting complex phenomena. The purpose of this work is to study the exit times of a stochastic dynamical system-specifically, the mean exit time and the…

概率论 · 数学 2025-08-06 Eric José Ávila-Vales , José Villa-Morales

Autonomous systems control many tasks in our daily lives. To increase trust in those systems and safety of the interaction between humans and autonomous systems, the system behaviour and reasons for autonomous decision should be explained…

软件工程 · 计算机科学 2022-09-29 Maike Schwammberger , Verena Klös

In recent years, extensive research has emerged in affective computing on topics like automatic emotion recognition and determining the signals that characterize individual emotions. Much less studied, however, is expressiveness, or the…

计算机视觉与模式识别 · 计算机科学 2019-12-11 Victoria Lin , Jeffrey M. Girard , Louis-Philippe Morency

Stochastic process discovery is concerned with deriving a model capable of reproducing the stochastic character of observed executions of a given process, stored in a log. This leads to an optimisation problem in which the model's parameter…

形式语言与自动机理论 · 计算机科学 2025-05-01 Pierre Cry , Paolo Ballarini , András Horváth , Pascale Le Gall