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This work investigates the almost sure stabilization of a class of regime-switching systems based on discrete-time observations of both continuous and discrete components. It develops Shao's work [SIAM J. Control Optim., 55(2017), pp.…

Probability · Mathematics 2018-09-11 Jinghai Shao , Fubao Xi

We introduce a new framework for multiagent decision-making in queueing systems that leverages the agility and robustness of nonlinear opinion dynamics to break indecision during queue selection and to capture the influence of social…

Optimization and Control · Mathematics 2026-03-31 Mallory E. Gaspard , Naomi Ehrich Leonard

The main focus of this work is on developing models for the activity profile of a terrorist group, detecting sudden spurts and downfalls in this profile, and, in general, tracking it over a period of time. Toward this goal, a $d$-state…

Applications · Statistics 2014-01-16 Vasanthan Raghavan , Aram Galstyan , Alexander G. Tartakovsky

Modeling hierarchical latent dynamics behind time series data is critical for capturing temporal dependencies across multiple levels of abstraction in real-world tasks. However, existing temporal causal representation learning methods fail…

Machine Learning · Computer Science 2025-10-22 Zijian Li , Minghao Fu , Junxian Huang , Yifan Shen , Ruichu Cai , Yuewen Sun , Guangyi Chen , Kun Zhang

We consider the modeling of data generated by a latent continuous-time Markov jump process with a state space of finite but unknown dimensions. Typically in such models, the number of states has to be pre-specified, and Bayesian inference…

Methodology · Statistics 2021-08-12 Yu Luo , David A. Stephens

Interaction within small groups can often be represented as a sequence of events, where each event involves a sender and a recipient. Recent methods for modeling network data in continuous time model the rate at which individuals interact…

Methodology · Statistics 2012-08-01 Christopher DuBois , Carter T. Butts , Daniel McFarland , Padhraic Smyth

We consider a class of adaptive network models where links can only be created or deleted between nodes in different states. These models provide an approximate description of a set of systems where nodes represent agents moving in physical…

Physics and Society · Physics 2016-08-24 Li Chen , Cristián Huepe , Thilo Gross

From just a glance, humans can make rich predictions about the future state of a wide range of physical systems. On the other hand, modern approaches from engineering, robotics, and graphics are often restricted to narrow domains and…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Nicholas Watters , Andrea Tacchetti , Theophane Weber , Razvan Pascanu , Peter Battaglia , Daniel Zoran

Psychological change processes, such as university student dropout in math, often exhibit discrete latent state transitions and can be studied using regime-switching models with intensive longitudinal data (ILD). Recently, regime-switching…

Methodology · Statistics 2025-12-23 Kento Okuyama , Tim Fabian Schaffland , Pascal Kilian , Holger Brandt , Augustin Kelava

Complex chaotic dynamics, seen in natural and industrial systems like turbulent flows and weather patterns, often span vast spatial domains with interactions across scales. Accurately capturing these features requires a high-dimensional…

Chaotic Dynamics · Physics 2024-10-03 C. Ricardo Constante-Amores , Alec J. Linot , Michael D. Graham

Adaptive control strategies have progressively advanced to accommodate increasingly uncertain, delayed, and interconnected systems. This paper addresses the model reference adaptive control (MRAC) of networked, heterogeneous, and unknown…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Moh Kamalul Wafi , Katherin Indriawati , Bambang L. Widjiantoro

Large-scale online campaigns, malicious or otherwise, require a significant degree of coordination among participants, which sparked interest in the study of coordinated online behavior. State-of-the-art methods for detecting coordinated…

Social and Information Networks · Computer Science 2024-05-10 Serena Tardelli , Leonardo Nizzoli , Maurizio Tesconi , Mauro Conti , Preslav Nakov , Giovanni Da San Martino , Stefano Cresci

Progressive diseases worsen over time and are characterised by monotonic change in features that track disease progression. Here we connect ideas from two formerly separate methodologies -- event-based and hidden Markov modelling -- to…

Machine Learning · Computer Science 2021-06-07 Peter A. Wijeratne , Daniel C. Alexander

Time-varying covariates in longitudinal studies frequently evolve through reciprocal feedback, undergo role reversal, and reflect unobserved individual heterogeneity. Standard statistical frameworks often assume fixed covariate roles and…

Methodology · Statistics 2026-02-27 Niloofar Ramezani , Pascal Nitiema , Jeffrey R. Wilson

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

Machine Learning · Computer Science 2024-12-05 Congxi Zhang , Yongchun Xie

Multi-agent spatiotemporal modeling is a challenging task from both an algorithmic design and computational complexity perspective. Recent work has explored the efficacy of traditional deep sequential models in this domain, but these…

Machine Learning · Computer Science 2021-09-30 Michael A. Alcorn , Anh Nguyen

Neural populations exhibit latent dynamical structures that drive time-evolving spiking activities, motivating the search for models that capture both intrinsic network dynamics and external unobserved influences. In this work, we introduce…

Machine Learning · Computer Science 2026-03-11 Yue Song , T. Anderson Keller , Yisong Yue , Pietro Perona , Max Welling

The control of nonlinear dynamical systems remains a major challenge for autonomous agents. Current trends in reinforcement learning (RL) focus on complex representations of dynamics and policies, which have yielded impressive results in…

Machine Learning · Computer Science 2020-05-13 Hany Abdulsamad , Jan Peters

Various natural and engineered systems, from urban traffic flow to the human brain, can be described by large-scale networked dynamical systems. These systems are similar in being comprised of a large number of microscopic subsystems, each…

Dynamical Systems · Mathematics 2026-01-06 Sabbir Ahmed , Hafiz Fareed Ahmed , Erfan Nozari

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad