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Datasets that exhibit non-Gaussian characteristics are common in many fields, while the current modeling framework and available software for non-Gaussian models is limited. We introduce Linear Latent Non-Gaussian Models (LLnGMs), a unified…

Methodology · Statistics 2026-03-02 David Bolin , Xiaotian Jin , Alexandre B. Simas , Jonas Wallin

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Time series analysis faces significant challenges in handling variable-length data and achieving robust generalization. While Transformer-based models have advanced time series tasks, they often struggle with feature redundancy and limited…

Machine Learning · Computer Science 2025-09-23 Kai Zhang , Siming Sun , Zhengyu Fan , Qinmin Yang , Xuejun Jiang

Developments in Deep Learning have significantly improved time series forecasting by enabling more accurate modeling of complex temporal dependencies inherent in sequential data. The effectiveness of such models is often demonstrated on…

Machine Learning · Computer Science 2025-11-19 Victoria Hankemeier , Malte Schilling

The hydrometric prediction of water quantity is useful for a variety of applications, including water management, flood forecasting, and flood control. However, the task is difficult due to the dynamic nature and limited data of water…

Machine Learning · Computer Science 2023-12-12 Naghmeh Shafiee Roudbari , Charalambos Poullis , Zachary Patterson , Ursula Eicker

While classical time series forecasting considers individual time series in isolation, recent advances based on deep learning showed that jointly learning from a large pool of related time series can boost the forecasting accuracy. However,…

Machine Learning · Computer Science 2021-11-15 Riccardo Grazzi , Valentin Flunkert , David Salinas , Tim Januschowski , Matthias Seeger , Cedric Archambeau

Multi-output regression models must exploit dependencies between outputs to maximise predictive performance. The application of Gaussian processes (GPs) to this setting typically yields models that are computationally demanding and have…

Machine Learning · Statistics 2019-02-27 James Requeima , Will Tebbutt , Wessel Bruinsma , Richard E. Turner

The emerging paradigm of leveraging pretrained large language models (LLMs) for time series forecasting has predominantly employed linguistic-temporal modality alignment strategies through token-level or layer-wise feature mapping. However,…

Artificial Intelligence · Computer Science 2025-05-20 Siming Sun , Kai Zhang , Xuejun Jiang , Wenchao Meng , Qinmin Yang

For a number of years since its introduction to hydrology, recurrent neural networks like long short-term memory (LSTM) have proven remarkably difficult to surpass in terms of daily hydrograph metrics on known, comparable benchmarks.…

Machine Learning · Computer Science 2023-06-22 Jiangtao Liu , Yuchen Bian , Chaopeng Shen

Time series foundation models (TSFMs) such as Lag-Llama, TimeGPT, Chronos, MOMENT, UniTS, and TimesFM have shown strong generalization and zero-shot capabilities for time series forecasting, anomaly detection, classification, and…

Machine Learning · Computer Science 2025-08-26 Dhruv D. Modi , Rong Pan

We study a recent class of models which uses graph neural networks (GNNs) to improve forecasting in multivariate time series. The core assumption behind these models is that there is a latent graph between the time series (nodes) that…

Global Station Weather Forecasting (GSWF) is a key meteorological research area, critical to energy, aviation, and agriculture. Existing time series forecasting methods often ignore or unidirectionally model spatial correlation when…

Machine Learning · Computer Science 2025-09-26 Hongyi Chen , Xiucheng Li , Xinyang Chen , Yun Cheng , Jing Li , Kehai Chen , Liqiang Nie

Although Transformer has made breakthrough success in widespread domains especially in Natural Language Processing (NLP), applying it to time series forecasting is still a great challenge. In time series forecasting, the autoregressive…

Machine Learning · Computer Science 2021-06-01 Kai Chen , Guang Chen , Dan Xu , Lijun Zhang , Yuyao Huang , Alois Knoll

Short-term forecasting of passenger flow is critical for transit management and crowd regulation. Spatial dependencies, temporal dependencies, inter-station correlations driven by other latent factors, and exogenous factors bring challenges…

Machine Learning · Computer Science 2022-05-23 Yuxin He , Lishuai Li , Xinting Zhu , Kwok Leung Tsui

Recent research has challenged the necessity of complex deep learning architectures for time series forecasting, demonstrating that simple linear models can often outperform sophisticated approaches. Building upon this insight, we introduce…

Machine Learning · Computer Science 2024-10-30 Remi Genet , Hugo Inzirillo

Short-term passenger flow forecasting is an essential component in urban rail transit operation. Emerging deep learning models provide good insight into improving prediction precision. Therefore, we propose a deep learning architecture…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Jinlei Zhang , Feng Chen , Zhiyong Cui , Yinan Guo , Yadi Zhu

Spatial generalized linear mixed models (SGLMMs) are popular and flexible models for non-Gaussian spatial data. They are useful for spatial interpolations as well as for fitting regression models that account for spatial dependence, and are…

Methodology · Statistics 2021-10-26 Yawen Guan , Murali Haran

This paper introduces generative Residual Networks (ResNet) as a surrogate Machine Learning (ML) tool for Large Eddy Simulation (LES) Sub Grid Scale (SGS) resolving. The study investigates the impact of incorporating Dual Scale Residual…

Fluid Dynamics · Physics 2024-09-13 Omar Sallam , Mirjam Fürth

Time series forecasting is a critical task that provides key information for decision-making. After traditional statistical and machine learning approaches, various fundamental deep learning architectures such as MLPs, CNNs, RNNs, and GNNs…

Machine Learning · Computer Science 2025-05-02 Jongseon Kim , Hyungjoon Kim , HyunGi Kim , Dongjun Lee , Sungroh Yoon

Long-term time series forecasting (LTSF) is a crucial aspect of modern society, playing a pivotal role in facilitating long-term planning and developing early warning systems. While many Transformer-based models have recently been…

Machine Learning · Computer Science 2023-05-31 Jiaxin Gao , Wenbo Hu , Yuntian Chen
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