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The rapid advancement of models based on artificial intelligence demands innovative monitoring techniques which can operate in real time with low computational costs. In machine learning, especially if we consider artificial neural networks…

Methodology · Statistics 2023-11-10 Anna Malinovskaya , Pavlo Mozharovskyi , Philipp Otto

A hybrid approach, incorporating concepts of nonlinear dynamics in artificial neural networks (ANN), is proposed to model time series generated by complex dynamic systems. We introduce well known features used in the study of dynamic…

comp-gas · Physics 2008-02-03 D. R. Kulkarni , A. S. Pandya , J. C. Parikh

We propose a new model for nonstationary integer-valued time series which is particularly suitable for data with a strong trend. In contrast to popular Poisson-INGARCH models, but in line with classical GARCH models, we propose to pick the…

Statistics Theory · Mathematics 2024-03-28 Anne Leucht , Michael H. Neumann

Time series datasets often have missing or corrupted entries, which need to be ignored in subsequent data analysis. For example, in the context of space physics, calibration issues, satellite telemetry issues, and unexpected events can make…

Solar and Stellar Astrophysics · Physics 2022-10-05 Daniel Wrench , Tulasi N. Parashar , Ritesh K. Singh , Marcus Frean , Ramesh Rayudu

Autoregressive Neural Networks (ANN) have been recently proposed as a mechanism to improve the efficiency of Monte Carlo algorithms for several spin systems. The idea relies on the fact that the total probability of a configuration can be…

Statistical Mechanics · Physics 2025-10-13 Piotr Białas , Vaibhav Chahar , Piotr Korcyl , Tomasz Stebel , Mateusz Winiarski , Dawid Zapolski

INAR (integer-valued autoregressive) and INGARCH (integer-valued GARCH) models are among the most commonly employed approaches for count time series modelling, but have been studied in largely distinct strands of literature. In this paper,…

Probability · Mathematics 2024-04-05 Johannes Bracher , Barbora Sobolová

Integer-valued time series exist widely in economics, finance, biology, computer science, medicine, insurance, and many other fields. In recent years, many types of models have been proposed to model integer-valued time series data, in…

Statistics Theory · Mathematics 2023-11-21 Ying Wang , Shuang Chen , Lianyong Qian

Conventional predictive Artificial Neural Networks (ANNs) commonly employ deterministic weight matrices; therefore, their prediction is a point estimate. Such a deterministic nature in ANNs causes the limitations of using ANNs for medical…

Machine Learning · Computer Science 2020-07-02 Minhyeok Lee , Junhee Seok

Several models for count time series have been developed during the last decades, often inspired by traditional autoregressive moving average (ARMA) models for real-valued time series, including integer-valued ARMA (INARMA) and…

Methodology · Statistics 2024-03-04 Christian H. Weiß , Fukang Zhu

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

Machine Learning · Computer Science 2020-01-27 Se Un Park

Enhancing the robustness and accuracy of time series forecasting models is an active area of research. Recently, Artificial Neural Networks (ANNs) have found extensive applications in many practical forecasting problems. However, the…

Neural and Evolutionary Computing · Computer Science 2013-02-27 Ratnadip Adhikari , R. K. Agrawal

Being in the era of big data, modeling and prediction of count data have become significantly important in many fields including health, finance, social, etc. Although linear Poisson regression has been widely used to model count and rate…

Applications · Statistics 2018-10-25 Hansapani Rodrigo , Chris Tsokos

Here, we use Machine Learning (ML) algorithms to update and improve the efficiencies of fitting GARCH model parameters to empirical data. We employ an Artificial Neural Network (ANN) to predict the parameters of these models. We present a…

Econometrics · Economics 2022-01-11 Luke De Clerk , Sergey Savl'ev

We develop a data-driven model, introducing recent advances in machine learning to reservoir simulation. We use a conventional reservoir modeling tool to generate training set and a special ensemble of artificial neural networks (ANNs) to…

Geophysics · Physics 2019-05-21 Oleg Sudakov , Dmitri Koroteev , Boris Belozerov , Evgeny Burnaev

Motivated by a dataset of burglaries in Chicago, USA, we introduce a novel framework to analyze time series of count data combining common multivariate time series models with latent position network models. This novel methodology allows us…

Methodology · Statistics 2024-08-26 Hardeep Kaur , Riccardo Rastelli

The original generalized network autoregressive models are poor for modelling count data as they are based on the additive and constant noise assumptions, which is usually inappropriate for count data. We introduce two new models (GNARI and…

Methodology · Statistics 2025-12-12 Hengxu Liu , Guy Nason

Count-valued time series data are routinely collected in many application areas. We are particularly motivated to study the count time series of daily new cases, arising from COVID-19 spread. We propose two Bayesian models, a time-varying…

Methodology · Statistics 2021-03-10 Arkaprava Roy , Sayar Karmakar

Multivariate time-series data are used in many classification and regression predictive tasks, and recurrent models have been widely used for such tasks. Most common recurrent models assume that time-series data elements are of equal length…

Machine Learning · Computer Science 2020-09-21 Mehak Gupta , Rahmatollah Beheshti

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

Dynamical Systems · Mathematics 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

Learning temporal patterns from multivariate longitudinal data is challenging especially in cases when data is sporadic, as often seen in, e.g., healthcare applications where the data can suffer from irregularity and asynchronicity as the…

Machine Learning · Computer Science 2021-04-09 Mostafa Mehdipour Ghazi , Lauge Sørensen , Sébastien Ourselin , Mads Nielsen
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