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Transformer-based models have significantly advanced time series forecasting. Recent work, like the Cross-Attention-only Time Series transformer (CATS), shows that removing self-attention can make the model more accurate and efficient.…

Machine Learning · Computer Science 2025-09-08 Jiajun Song , Xiaoou Liu

In this work, we introduce MOLA: a Multi-block Orthogonal Long short-term memory Autoencoder paradigm, to conduct accurate, reliable fault detection of industrial processes. To achieve this, MOLA effectively extracts dynamic orthogonal…

Machine Learning · Computer Science 2025-10-31 Fangyuan Ma , Cheng Ji , Jingde Wang , Wei Sun , Xun Tang , Zheyu Jiang

Recently, convolutional neural networks (CNNs) are the leading defacto method for crowd counting. However, when dealing with video datasets, CNN-based methods still process each video frame independently, thus ignoring the powerful temporal…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Zhikang Zou , Huiliang Shao , Xiaoye Qu , Wei Wei , Pan Zhou

Modelling physical data with linear discrete time series, namely Fractionally Integrated Autoregressive Moving Average (ARFIMA), is a technique which achieved attention in recent years. However, these models are used mainly as a statistical…

Data Analysis, Statistics and Probability · Physics 2017-03-20 Jakub Ślęzak , Aleksander Weron

This paper presents a comparative study of two Bayesian approaches - Markov Chain Monte Carlo (MCMC) and Approximate Bayesian Computation (ABC) - for estimating the parameters of autoregressive fractionally-integrated moving average…

Methodology · Statistics 2024-10-18 James Cohen Gabor , Clara Grazian

Stationary processes have been extensively studied in the literature. Their applications include modeling and forecasting numerous real life phenomena such as natural disasters, sales and market movements. When stationary processes are…

Statistics Theory · Mathematics 2018-01-10 Marko Voutilainen , Lauri Viitasaari , Pauliina Ilmonen

This paper derives a Minimum Message Length (MML) criterion for the model selection of the Autoregressive Moving Average (ARMA) time series model. The MML87 performances on the ARMA model compared with other well known model selection…

Information Theory · Computer Science 2022-03-02 Zheng Fang , David L. Dowe , Shelton Peiris , Dedi Rosadi

This paper proposes a wavelet-based method for analysing periodic autoregressive moving average (PARMA) time series. Even though Fourier analysis provides an effective method for analysing periodic time series, it requires the estimation of…

Methodology · Statistics 2024-03-04 Rhea Davis , N. Balakrishna

Threshold autoregressive moving-average (TARMA) models are popular in time series analysis due to their ability to parsimoniously describe several complex dynamical features. However, neither theory nor estimation methods are currently…

Methodology · Statistics 2022-11-16 Greta Goracci , Davide Ferrari , Simone Giannerini , Francesco ravazzolo

Human motion prediction is key to understand social environments, with direct applications in robotics, surveillance, etc. We present a simple yet effective pedestrian trajectory prediction model aimed at pedestrians positions prediction in…

Robotics · Computer Science 2022-06-30 Aleksey Postnikov , Aleksander Gamayunov , Gonzalo Ferrer

We introduce a temporal feature encoding architecture called Time Series Representation Model (TSRM) for multivariate time series forecasting and imputation. The architecture is structured around CNN-based representation layers, each…

Machine Learning · Computer Science 2025-04-29 Robert Leppich , Michael Stenger , Daniel Grillmeyer , Vanessa Borst , Samuel Kounev

The increasing complexity of supply chains and the rising costs associated with defective or substandard goods (bad goods) highlight the urgent need for advanced predictive methodologies to mitigate risks and enhance operational efficiency.…

Machine Learning · Computer Science 2025-06-10 Bishwajit Prasad Gond

We study a minimal change to an observation-driven Bayesian Dirichlet ARMA (B--DARMA) for compositional time series: replace the raw additive log-ratio (ALR) residual in the moving-average block with a centered innovation that subtracts the…

Methodology · Statistics 2026-05-18 Harrison Katz

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

Dynamic linear models (DLM) offer a very generic framework to analyse time series data. Many classical time series models can be formulated as DLMs, including ARMA models and standard multiple linear regression models. The models can be…

Methodology · Statistics 2019-08-20 Marko Laine

This paper proposes to use a rather new modelling approach in the realm of solar radiation forecasting. In this work, two forecasting models: Autoregressive Moving Average (ARMA) and Neural Network (NN) models are combined to form a model…

Applications · Statistics 2012-03-27 Philippe Lauret , Auline Rodler , Marc Muselli , Mathieu David , Hadja Diagne , Cyril Voyant

We propose a new model-based computer-aided diagnosis (CAD) system for tumor detection and classification (cancerous v.s. benign) in breast images. Specifically, we show that (x-ray, ultrasound and MRI) images can be accurately modeled by…

Artificial Intelligence · Computer Science 2009-06-22 Nidhal Bouaynaya , Jerzy Zielinski , Dan Schonfeld

Long-horizon robotic manipulation remains challenging for reinforcement learning (RL) because sparse rewards provide limited guidance for credit assignment. Practical policy improvement thus relies on richer intermediate supervision, such…

Robotics · Computer Science 2026-04-22 Yiming Mao , Zixi Yu , Weixin Mao , Yinhao Li , Qirui Hu , Zihan Lan , Minzhao Zhu , Hua Chen

Clinical time-series data are difficult to model with methods designed for regular sequences because they exhibit irregular sampling, frequent missing values, and heterogeneous observation patterns across variables. Existing approaches…

Machine Learning · Computer Science 2026-05-19 Jinwoong Kim , Sangjin Park

A class of continuous-time autoregressive moving average (CARMA) process driven by simple semi-Levy measure is defined and its properties are studied. We discuss some new insights on the structure of the semi-Levy measure which is described…

Probability · Mathematics 2018-01-09 N. Modarresi , S. Rezakhah , S. Shoaee