English
Related papers

Related papers: Probabilistic AutoRegressive Neural Networks for A…

200 papers

The Nonlinear autoregressive exogenous (NARX) model, which predicts the current value of a time series based upon its previous values as well as the current and past values of multiple driving (exogenous) series, has been studied for…

Machine Learning · Computer Science 2017-08-15 Yao Qin , Dongjin Song , Haifeng Chen , Wei Cheng , Guofei Jiang , Garrison Cottrell

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

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

The demand of probabilistic time series forecasting has been recently raised in various dynamic system scenarios, for example, system identification and prognostic and health management of machines. To this end, we combine the advances in…

Machine Learning · Computer Science 2022-05-25 Haitao Liu , Changjun Liu , Xiaomo Jiang , Xudong Chen , Shuhua Yang , Xiaofang Wang

Predicting the health of components in complex dynamic systems such as an automobile poses numerous challenges. The primary aim of such predictive systems is to use the high-dimensional data acquired from different sensors and predict the…

Machine Learning · Computer Science 2018-04-17 Arvind Kumar Shekar , Cláudio Rebelo de Sá , Hugo Ferreira , Carlos Soares

This paper gives an overview on how to develop a dense and deep neural network for making a time series prediction. First, the history and cornerstones in Artificial Intelligence and Machine Learning will be presented. After a short…

Machine Learning · Computer Science 2025-03-11 Bojan Lukić

Time series forecasting is crucial for decision-making across various domains, particularly in financial markets where stock prices exhibit complex and non-linear behaviors. Accurately predicting future price movements is challenging due to…

General Economics · Economics 2025-04-29 Tiantian Tu

Model discovery based on existing data has been one of the major focuses of mathematical modelers for decades. Despite tremendous achievements of model identification from adequate data, how to unravel the models from limited data is less…

Numerical Analysis · Mathematics 2020-09-25 Jia Zhao , Jarrod Mau

Time series models with recurrent neural networks (RNNs) can have high accuracy but are unfortunately difficult to interpret as a result of feature-interactions, temporal-interactions, and non-linear transformations. Interpretability is…

Machine Learning · Computer Science 2021-09-17 Asif Rahman , Yale Chang , Jonathan Rubin

Recently, Deep Neural Network (DNN) algorithms have been explored for predicting trends in time series data. In many real world applications, time series data are captured from dynamic systems. DNN models must provide stable performance…

Machine Learning · Computer Science 2020-09-24 Kouame Hermann Kouassi , Deshendran Moodley

An elementary Recurrent Neural Network that operates on p time lags, called an RNN(p), is the natural generalisation of a linear autoregressive model ARX(p). It is a powerful forecasting tool for variables displaying inherent seasonal…

Machine Learning · Computer Science 2025-11-10 Roberto Baviera , Pietro Manzoni

Deep neural networks (DNNs) are widely used in pattern-recognition tasks for which a human comprehensible, quantitative description of the data-generating process, e.g., in the form of equations, cannot be achieved. While doing so, DNNs…

Machine Learning · Computer Science 2022-10-12 Antoine Garcon , Julian Vexler , Dmitry Budker , Stefan Kramer

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

Multi-horizon time series forecasting, crucial across diverse domains, demands high accuracy and speed. While AutoRegressive (AR) models excel in short-term predictions, they suffer speed and error issues as the horizon extends.…

Machine Learning · Computer Science 2024-08-09 Yang Lin

Non-stationarity is a fundamental challenge in multivariate long-term time series forecasting, often manifested as rapid changes in amplitude and phase. These variations lead to severe distribution shifts and consequently degrade predictive…

Machine Learning · Computer Science 2026-03-19 Yue Hu , Jialiang Tang , Siwei Yu , Baosheng Yu , Jing Zhang , Dacheng Tao

This paper proposes a novel approach for speech signal prediction based on a recurrent neural network (RNN). Unlike existing RNN-based predictors, which operate on parametric features and are trained offline on a large collection of such…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-17 Reza Lotfidereshgi , Philippe Gournay

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

Machine Learning · Computer Science 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

In this work, we propose a data augmentation strategy aimed at improving the training phase of neural networks and, consequently, the accuracy of their predictions. Our approach relies on generating synthetic data through a suitable…

Numerical Analysis · Mathematics 2025-11-17 Giacomo Dimarco , Federica Ferrarese , Lorenzo Pareschi

Time series prediction has been studied in a variety of domains. However, it is still challenging to predict future series given historical observations and past exogenous data. Existing methods either fail to consider the interactions…

Machine Learning · Computer Science 2018-06-05 Yunzhe Tao , Lin Ma , Weizhong Zhang , Jian Liu , Wei Liu , Qiang Du

End-to-end data-driven machine learning methods often have exuberant requirements in terms of quality and quantity of training data which are often impractical to fulfill in real-world applications. This is specifically true in time series…

Machine Learning · Computer Science 2022-02-17 Muhammad Ali Chattha , Ludger van Elst , Muhammad Imran Malik , Andreas Dengel , Sheraz Ahmed