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Detection and modeling of change-points in time-series can be considerably challenging. In this paper we approach this problem by incorporating the class of Dynamic Generalized Linear Models (DGLM) into the well know class of Product…

This research examines the use of Large Language Models (LLMs) in predicting time series, with a specific focus on the LLMTIME model. Despite the established effectiveness of LLMs in tasks such as text generation, language translation, and…

Machine Learning · Computer Science 2024-08-12 Rui Cao , Qiao Wang

Transformer-based models have gained increasing attention in time series research, driving interest in Large Language Models (LLMs) and foundation models for time series analysis. As the field moves toward multi-modality, Large Vision…

Machine Learning · Computer Science 2025-07-11 Ziming Zhao , ChengAo Shen , Hanghang Tong , Dongjin Song , Zhigang Deng , Qingsong Wen , Jingchao Ni

Time series analysis is crucial for understanding dynamics of complex systems. Recent advances in foundation models have led to task-agnostic Time Series Foundation Models (TSFMs) and Large Language Model-based Time Series Models (TSLLMs),…

Machine Learning · Computer Science 2025-03-17 Xu Liu , Taha Aksu , Juncheng Liu , Qingsong Wen , Yuxuan Liang , Caiming Xiong , Silvio Savarese , Doyen Sahoo , Junnan Li , Chenghao Liu

Large Language Models (LLMs) have seen significant use in domains such as natural language processing and computer vision. Going beyond text, image and graphics, LLMs present a significant potential for analysis of time series data,…

Machine Learning · Computer Science 2024-05-08 Xiyuan Zhang , Ranak Roy Chowdhury , Rajesh K. Gupta , Jingbo Shang

The problem of statistical calibration of a measuring instrument can be framed both in a statistical context as well as in an engineering context. In the first, the problem is dealt with by distinguishing between the 'classical' approach…

Computation · Statistics 2014-07-15 Derick L. Rivers , Edward L. Boone

We propose Dirichlet Process mixtures of Generalized Linear Models (DP-GLM), a new method of nonparametric regression that accommodates continuous and categorical inputs, and responses that can be modeled by a generalized linear model. We…

Machine Learning · Statistics 2010-07-16 Lauren A. Hannah , David M. Blei , Warren B. Powell

Longitudinal omics data (LOD) analysis is essential for understanding the dynamics of biological processes and disease progression over time. This review explores various statistical and computational approaches for analyzing such data,…

Methodology · Statistics 2025-06-16 Ali R. Taheriyoun , Allen Ross , Abolfazl Safikhani , Damoon Soudbakhsh , Ali Rahnavard

Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

Machine Learning · Computer Science 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

Regression models are used for inference and prediction in a wide range of applications providing a powerful scientific tool for researchers and analysts from different fields. In many research fields the amount of available data as well as…

Methodology · Statistics 2018-06-08 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Molecular Dynamics (MD) simulation is widely used to analyze the properties of molecules and materials. Most practical applications, such as comparison with experimental measurements, designing drug molecules, or optimizing materials, rely…

Chemical Physics · Physics 2018-12-20 Frank Noé

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

Methodology · Statistics 2019-11-11 Jonas Krampe

Model-free reinforcement learning (RL) is a powerful, general tool for learning complex behaviors. However, its sample efficiency is often impractically large for solving challenging real-world problems, even with off-policy algorithms such…

Machine Learning · Computer Science 2020-02-25 Vitchyr Pong , Shixiang Gu , Murtaza Dalal , Sergey Levine

Power system time series analytics is critical in understanding the system operation conditions and predicting the future trends. Despite the wide adoption of Artificial Intelligence (AI) tools, many AI-based time series analytical models…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Zhenghao Zhou , Yiyan Li , Xinjie Yu , Runlong Liu , Zelin Guo , Zheng Yan , Mo-Yuen Chow , Yuqi Yang , Yang Xu

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu

In 1980 and 1981, two pioneering papers laid the foundation for what became known as nonlinear time-series analysis: the analysis of observed data---typically univariate---via dynamical systems theory. Based on the concept of state-space…

Chaotic Dynamics · Physics 2015-06-24 Elizabeth Bradley , Holger Kantz

The purpose of this paper is to provide a discussion, with illustrating examples, on Bayesian forecasting for dynamic generalized linear models (DGLMs). Adopting approximate Bayesian analysis, based on conjugate forms and on Bayes linear…

Methodology · Statistics 2008-02-05 K. Triantafyllopoulos

The proliferation of edge devices has generated an unprecedented volume of time series data across different domains, motivating various well-customized methods. Recently, Large Language Models (LLMs) have emerged as a new paradigm for time…

Machine Learning · Computer Science 2025-05-06 Chenxi Liu , Shaowen Zhou , Qianxiong Xu , Hao Miao , Cheng Long , Ziyue Li , Rui Zhao

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

Model selection is a critical step in time series forecasting, traditionally requiring extensive performance evaluations across various datasets. Meta-learning approaches aim to automate this process, but they typically depend on…

Machine Learning · Computer Science 2025-04-04 Wang Wei , Tiankai Yang , Hongjie Chen , Ryan A. Rossi , Yue Zhao , Franck Dernoncourt , Hoda Eldardiry