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Time series data in real-world scenarios contain a substantial amount of nonlinear information, which significantly interferes with the training process of models, leading to decreased prediction performance. Therefore, during the time…

Machine Learning · Computer Science 2024-06-05 Dandan Zhang , Zhiqiang Zhang , Nanguang Chen , Yun Wang

Graph State Space Models (SSMs) have recently been introduced to enhance Graph Neural Networks (GNNs) in modeling long-range interactions. Despite their success, existing methods either compromise on permutation equivariance or limit their…

Machine Learning · Computer Science 2025-01-23 Moshe Eliasof , Alessio Gravina , Andrea Ceni , Claudio Gallicchio , Davide Bacciu , Carola-Bibiane Schönlieb

This article presents a new method for forecasting Value at Risk. Convolutional neural networks can do time series forecasting, since they can learn local patterns in time. A simple modification enables them to forecast not the mean, but…

Machine Learning · Computer Science 2020-10-01 Gábor Petneházi

Time series are series of values ordered by time. This kind of data can be found in many real world settings. Classifying time series is a difficult task and an active area of research. This paper investigates the use of transfer learning…

Machine Learning · Computer Science 2019-09-23 Marc Wenninger , Sebastian P. Bayerl , Jochen Schmidt , Korbinian Riedhammer

Prediction for high dimensional time series is a challenging task due to the curse of dimensionality problem. Classical parametric models like ARIMA or VAR require strong modeling assumptions and time stationarity and are often…

Statistics Theory · Mathematics 2020-12-16 Nikita Puchkin , Aleksandr Timofeev , Vladimir Spokoiny

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

We consider the problem of power demand forecasting in residential micro-grids. Several approaches using ARMA models, support vector machines, and recurrent neural networks that perform one-step ahead predictions have been proposed in the…

Neural and Evolutionary Computing · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi

This work proposes a machine-learning framework for modeling the error incurred by approximate solutions to parameterized dynamical systems. In particular, we extend the machine-learning error models (MLEM) framework proposed in Ref. 15 to…

Numerical Analysis · Mathematics 2020-04-22 Eric J. Parish , Kevin T. Carlberg

A plethora of deep learning models have been developed for the task of Alzheimer's disease classification from brain MRI scans. Many of these models report high performance, achieving three-class classification accuracy of up to 95%.…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Ziqiang Guan , Ritesh Kumar , Yi Ren Fung , Yeahuay Wu , Madalina Fiterau

We develop a Bayesian median autoregressive (BayesMAR) model for time series forecasting. The proposed method utilizes time-varying quantile regression at the median, favorably inheriting the robustness of median regression in contrast to…

Applications · Statistics 2020-12-08 Zijian Zeng , Meng Li

We study the predictive power of autoregressive moving average models when forecasting demand in two shared computational networks, PlanetLab and Tycoon. Demand in these networks is very volatile, and predictive techniques to plan usage in…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-11-15 Thomas Sandholm

We discuss the development of novel deep learning algorithms to enable real-time regression analysis for time series data. We showcase the application of this new method with a timely case study, and then discuss the applicability of this…

Machine Learning · Computer Science 2018-05-09 E. A. Huerta , Daniel George , Zhizhen Zhao , Gabrielle Allen

It is always a hot and difficult point to improve the accuracy of convolutional neural network model and speed up its convergence. Based on the idea of small world network, a random edge adding algorithm is proposed to improve the…

Neural and Evolutionary Computing · Computer Science 2020-09-01 Xuanyu Shu , Jin Zhang , Sen Tian , Sheng chen , Lingyu Chen

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

Statistics Theory · Mathematics 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

The spatio-temporal autoregressive moving average (STARMA) model is frequently used in several studies of multivariate time series data, where the assumption of stationarity is important, but it is not always guaranteed in practice. One way…

Methodology · Statistics 2023-04-14 Yangyang Chen , Pedro Alberto Morettin , Chang Chiann

The thinning-based integer-valued autoregressive moving-average (INARMA) models are popular for count time series. Recently, types of INARMA models have also been developed for count random fields, i.e., for spatial count data located on a…

Statistics Theory · Mathematics 2026-05-27 Angelika Silbernagel , Christian H. Weiß

We present Earliness-Aware Deep Convolutional Networks (EA-ConvNets), an end-to-end deep learning framework, for early classification of time series data. Unlike most existing methods for early classification of time series data, that are…

Machine Learning · Computer Science 2016-11-15 Wenlin Wang , Changyou Chen , Wenqi Wang , Piyush Rai , Lawrence Carin

This paper aims to study data driven model selection criteria for a large class of time series, which includes ARMA or AR($\infty$) processes, as well as GARCH or ARCH($\infty$), APARCH and many others processes. We tackled the challenging…

Statistics Theory · Mathematics 2021-01-13 Kare Kamila

This work introduces a novel approach for the joint selection of model structure and parameter learning for nonlinear dynamical systems identification. Focusing on a specific Recurrent Neural Networks (RNNs) family, i.e., Nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Corrado Sgadari , Alessio La Bella , Marcello Farina

The autoregressive (AR) models are used to represent the time-varying random process in which output depends linearly on previous terms and a stochastic term (the innovation). In the classical version, the AR models are based on normal…

Methodology · Statistics 2021-11-15 Monika S. Dhull , Arun Kumar , Agnieszka Wylomanska