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We consider chemical reaction networks modeled by a discrete state and continuous in time Markov process for the vector copy number of the species and provide a novel particle filter method for state and parameter estimation based on exact…

Molecular Networks · Quantitative Biology 2021-02-24 Muruhan Rathinam , Mingkai Yu

Analyzing decision problems under uncertainty commonly relies on idealizing assumptions about the describability of the world, with the most prominent examples being the closed world and the small world assumption. Most assumptions are…

Methodology · Statistics 2025-12-08 Christoph Jansen , Georg Schollmeyer , Thomas Augustin , Julian Rodemann

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability…

Systems and Control · Electrical Eng. & Systems 2024-05-02 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

Accurate state estimation is critical for optimal policy design in dynamic systems. However, obtaining true system states is often impractical or infeasible, complicating the policy learning process. This paper introduces a novel neural…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Ashik E Rasul , Hyung-Jin Yoon

This paper focuses on securely estimating the state of a nonlinear dynamical system from a set of corrupted measurements. In particular, we consider two broad classes of nonlinear systems, and propose a technique which enables us to perform…

Systems and Control · Computer Science 2016-03-23 Qie Hu , Dariush Fooladivanda , Young Hwan Chang , Claire J. Tomlin

In this paper, we consider partially observable timed automata endowed with a single clock. A time interval is associated with each transition specifying at which clock values it may occur. In addition, a resetting condition associated to a…

Formal Languages and Automata Theory · Computer Science 2024-09-10 Chao Gao , Dimitri Lefebvre , Carla Seatzu , Zhiwu Li , Alessandro Giua

Time series with long-term structure arise in a variety of contexts and capturing this temporal structure is a critical challenge in time series analysis for both inference and forecasting settings. Traditionally, state space models have…

Machine Learning · Statistics 2020-06-12 Anna K. Yanchenko , Sayan Mukherjee

This paper studies the remote state estimation problem of linear time-invariant systems with stochastic event-triggered sensor schedules in the presence of packet drops between the sensor and the estimator. It is shown that the system state…

Optimization and Control · Mathematics 2019-04-04 Liang Xu , Yilin Mo , Lihua Xie

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

Predicting discrete events in time and space has many scientific applications, such as predicting hazardous earthquakes and outbreaks of infectious diseases. History-dependent spatio-temporal Hawkes processes are often used to…

Machine Learning · Computer Science 2023-01-31 Negar Erfanian , Santiago Segarra , Maarten de Hoop

Predictive equivalence in discrete stochastic processes have been applied with great success to identify randomness and structure in statistical physics and chaotic dynamical systems and to inferring hidden Markov models. We examine the…

Statistical Mechanics · Physics 2021-09-21 Samuel P. Loomis , James P. Crutchfield

We investigate the scenario where a perturbed nonlinear system transmits its output measurements to a remote observer via a packet-based communication network. The sensors are grouped into N nodes and each of these nodes decides when its…

Systems and Control · Electrical Eng. & Systems 2022-10-10 E. Petri , R. Postoyan , D. Astolfi , D. Nešić , W. P. M. H. Heemels

Conventionally, the dynamic state estimation of variables in power networks is performed based on the forecasting-aided model of bus voltages. This approach is effective in the stiff grids at the transmission level, where the bus voltages…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Bang L. H. Nguyen , Tuyen V. Vu , Thomas H. Ortmeyer , Tuan Ngo

In this paper, a purely measurement-based method is proposed to estimate the dynamic system state matrix by applying the regression theorem of the multivariate Ornstein-Uhlenbeck process. The proposed method employs a recursive algorithm to…

Signal Processing · Electrical Eng. & Systems 2019-05-29 Hao Sheng , Xiaozhe Wang

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…

Logic in Computer Science · Computer Science 2023-03-30 Matthew Cleaveland , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

Despite the high performance of neural network-based time series forecasting methods, the inherent challenge in explaining their predictions has limited their applicability in certain application areas. Due to the difficulty in identifying…

Machine Learning · Computer Science 2023-01-09 Ozan Ozyegen , Juyoung Wang , Mucahit Cevik

We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

Active inference is a normative principle underwriting perception, action, planning, decision-making and learning in biological or artificial agents. From its inception, its associated process theory has grown to incorporate complex…

Neurons and Cognition · Quantitative Biology 2021-02-02 Lancelot Da Costa , Thomas Parr , Noor Sajid , Sebastijan Veselic , Victorita Neacsu , Karl Friston

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales well to large data…

Machine Learning · Statistics 2019-09-16 Håvard Kvamme , Ørnulf Borgan , Ida Scheel

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu
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