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We describe an approach for identifying groups of dynamically similar locations in spatial time-series data based on a simple Markov transition model. We give maximum-likelihood, empirical Bayes, and fully Bayesian formulations of the…

Quantitative Methods · Quantitative Biology 2013-06-24 Edward B. Baskerville , Trevor Bedford , Robert C. Reiner , Mercedes Pascual

Data-driven models have demonstrated state-of-the-art performance in inferring the temporal ordering of events in text. However, these models often overlook explicit temporal signals, such as dates and time windows. Rule-based methods can…

Computation and Language · Computer Science 2019-06-21 Tanya Goyal , Greg Durrett

Recent developments in predictive modeling using marked temporal point processes (MTPP) have enabled an accurate characterization of several real-world applications involving continuous-time event sequences (CTESs). However, the retrieval…

Information Retrieval · Computer Science 2022-02-24 Vinayak Gupta , Srikanta Bedathur , Abir De

We introduce a flexible and scalable class of Bayesian geostatistical models for discrete data, based on the class of nearest neighbor mixture transition distribution processes (NNMP), referred to as discrete NNMP. The proposed class…

Methodology · Statistics 2022-03-04 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Determinantal point processes (DPPs) are probability models over subsets of a ground set that favor diverse selections while suppressing redundancy. That is, they tend to assign higher likelihood to collections whose elements complement one…

Optimization and Control · Mathematics 2026-04-13 Mohamad H. Kazma , Ahmad F. Taha

Timed Transition Models (TTMs) are event-based descriptions for modelling, specifying, and verifying discrete real-time systems. An event can be spontaneous, fair, or timed with specified bounds. TTMs have a textual syntax, an operational…

Software Engineering · Computer Science 2015-06-12 Chen-Wei Wang , Jonathan S. Ostroff , Simon Hudon

For a non-stationary or non-ergodic marked point process (MPP) on $\R^d$, the definition of averages becomes ambiguous as the process might have a different stochastic behavior in different realizations (non-ergodicity) or in different…

Probability · Mathematics 2012-10-05 Alexander Malinowski , Martin Schlather , Zhengjun Zhang

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by…

Methodology · Statistics 2025-08-28 Carson McKee , Maria Kalli

Molecular Dynamics (MD) is crucial in various fields such as materials science, chemistry, and pharmacology to name a few. Conventional MD software struggles with the balance between time cost and prediction accuracy, which restricts its…

Chemical Physics · Physics 2024-12-05 Ziyang Yu , Wenbing Huang , Yang Liu

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

Machine Learning · Computer Science 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

Sequential modelling of high-dimensional data is an important problem that appears in many domains including model-based reinforcement learning and dynamics identification for control. Latent variable models applied to sequential data…

Machine Learning · Computer Science 2023-01-23 Oliver Limoyo , Trevor Ablett , Jonathan Kelly

In many applications, observed data are influenced by some combination of latent causes. For example, suppose sensors are placed inside a building to record responses such as temperature, humidity, power consumption and noise levels. These…

Machine Learning · Statistics 2020-07-16 Sinead A. Williamson , Michael Minyi Zhang , Paul Damien

In recent years, large-scale pre-trained multimodal models (LMM) generally emerge to integrate the vision and language modalities, achieving considerable success in various natural language processing and computer vision tasks. The growing…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Xinyao Yu , Hao Sun , Ziwei Niu , Rui Qin , Zhenjia Bai , Yen-Wei Chen , Lanfen Lin

In many scientific problems such as video surveillance, modern genomics, and finance, data are often collected from diverse measurements across time that exhibit time-dependent heterogeneous properties. Thus, it is important to not only…

Machine Learning · Statistics 2022-10-10 Lin Qiu , Vernon M. Chinchilli , Lin Lin

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

Asynchronous time series, also known as temporal event sequences, are the basis of many applications throughout different industries. Temporal point processes(TPPs) are the standard method for modeling such data. Existing TPP models have…

Machine Learning · Computer Science 2023-10-10 Yan Wang , Zhixuan Chu , Tao Zhou , Caigao Jiang , Hongyan Hao , Minjie Zhu , Xindong Cai , Qing Cui , Longfei Li , James Y Zhang , Siqiao Xue , Jun Zhou

Forecasting on sparse multivariate time series (MTS) aims to model the predictors of future values of time series given their incomplete past, which is important for many emerging applications. However, most existing methods process MTS's…

Machine Learning · Computer Science 2021-03-04 Yinjun Wu , Jingchao Ni , Wei Cheng , Bo Zong , Dongjin Song , Zhengzhang Chen , Yanchi Liu , Xuchao Zhang , Haifeng Chen , Susan Davidson

In multivariate time-series forecasting (MTSF), extracting the temporal correlations of the input sequences is crucial. While popular Transformer-based predictive models can perform well, their quadratic computational complexity results in…

Machine Learning · Computer Science 2024-07-23 Shusen Ma , Yu Kang , Peng Bai , Yun-Bo Zhao

The explosive growth of IoT-enabled sensors is producing enormous amounts of time series data across many domains, offering valuable opportunities to extract insights through temporal pattern mining. Among these patterns, an important class…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Van Ho-Long , Nguyen Ho , Anh-Vu Dinh-Duc , Ha Manh Tran , Ky Trung Nguyen , Tran Dung Pham , Quoc Viet Hung Nguyen
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