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Learning dynamical systems properties from data provides important insights that help us understand such systems and mitigate undesired outcomes. In this work, we propose a framework for learning spatio-temporal (ST) properties as formal…

Machine Learning · Computer Science 2022-11-08 Suhail Alsalehi , Erfan Aasi , Ron Weiss , Calin Belta

To analyse and verify the safety and security properties of interactive systems, a formal specification might be necessary. There are many types of formal languages and frameworks. The decision regarding what type of formal specification…

Formal Languages and Automata Theory · Computer Science 2025-05-15 Maria Spichkova

Spatio-Temporal (ST) data science, which includes sensing, managing, and mining large-scale data across space and time, is fundamental to understanding complex systems in domains such as urban computing, climate science, and intelligent…

Databases · Computer Science 2025-03-19 Yuxuan Liang , Haomin Wen , Yutong Xia , Ming Jin , Bin Yang , Flora Salim , Qingsong Wen , Shirui Pan , Gao Cong

A new concept, called the spatio-temporal transfer function (STTF), is introduced to characterise a class of linear time-invariant (LTI) spatio-temporal dynamical systems. The spatio-temporal transfer function is a natural extension of the…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Hua-Liang Wei , Stephen A. Billings

The spatial and temporal aspects of system properties are crucial for many types of systems. In this short paper, we present a TopFunST framework to analyse topological dependencies among features of the system, covering also spatial and…

Formal Languages and Automata Theory · Computer Science 2025-12-30 Maria Spichkova

Modeling spatiotemporal dynamical systems is a fundamental challenge in machine learning. Transformer models have been very successful in NLP and computer vision where they provide interpretable representations of data. However, a…

Machine Learning · Computer Science 2023-08-01 Antonio H. de O. Fonseca , Emanuele Zappala , Josue Ortega Caro , David van Dijk

Deep neural networks, especially transformer-based architectures, have achieved remarkable success in semantic segmentation for environmental perception. However, existing models process video frames independently, thus failing to leverage…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Serin Varghese , Kevin Ross , Fabian Hueger , Kira Maag

Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

Optimization and Control · Mathematics 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

Consecutive frames in a video contain redundancy, but they may also contain relevant complementary information for the detection task. The objective of our work is to leverage this complementary information to improve detection. Therefore,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Noreen Anwar , Guillaume-Alexandre Bilodeau , Wassim Bouachir

This paper introduces mathematical formalism for Spatial (SP) of Hierarchical Temporal Memory (HTM) with a spacial consideration for its hardware implementation. Performance of HTM network and its ability to learn and adjust to a problem at…

Artificial Intelligence · Computer Science 2016-07-05 M. Pietron , M. Wielgosz , K. Wiatr

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

stopp is a novel R package specifically designed for the analysis of spatio-temporal point patterns which might have occurred in a subset of the Euclidean space or on some specific linear network, such as roads of a city. It represents the…

Methodology · Statistics 2024-08-28 Nicoletta D'Angelo , Giada Adelfio

This paper presents a real-time control framework for nonlinear pure-feedback systems with unknown dynamics to satisfy reach-avoid-stay tasks within a prescribed time in dynamic environments. To achieve this, we introduce a real-time…

Robotics · Computer Science 2025-12-09 Ratnangshu Das , Siddhartha Upadhyay , Pushpak Jagtap

Traditional sociotechnical systems (STS) theory has been widely used, but there are many new characteristics in the STS environment as we enter the intelligence era, resulting in the limitations of traditional STS. Based on the…

Human-Computer Interaction · Computer Science 2023-03-07 Wei Xu

In this report, we present some spatio-temporal operators for our BeSpaceD framework. We port operators known from functional programming languages such as filtering, folding and normalization on abstract data structures to the BeSpaceD…

Software Engineering · Computer Science 2016-04-01 Jan Olaf Blech , Keith Foster

Data-driven soft sensors have been widely applied in complex industrial processes. However, the interpretable spatio-temporal features extraction by soft sensors remains a challenge. In this light, this work introduces a novel method termed…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Qianchao Wang , Peng Sha , Leena Heistrene , Yuxuan Ding , Yaping Du

Foundation models have revolutionized artificial intelligence, setting new benchmarks in performance and enabling transformative capabilities across a wide range of vision and language tasks. However, despite the prevalence of…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Adam Goodge , Wee Siong Ng , Bryan Hooi , See Kiong Ng

Formal methods are widely recognized as a powerful engineering method for the specification, simulation, development, and verification of distributed interactive systems. However, most formal methods rely on a two-valued logic, and are…

Software Engineering · Computer Science 2015-03-18 Vasileios Koutsoumpas

The temporal characterization of ultrafast laser pulses has become a cornerstone capability of ultrafast optics laboratories and is routine both for optimizing laser pulse duration and designing custom fields. Beyond pure temporal…

Optics · Physics 2020-10-28 Spencer W. Jolly , Olivier Gobert , Fabien Quéré

Spatio-temporal forecasting is an open research field whose interest is growing exponentially. In this work we focus on creating a complex deep neural framework for spatio-temporal traffic forecasting with comparatively very good…

Machine Learning · Computer Science 2020-10-22 Rodrigo de Medrano , José L. Aznarte
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