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Related papers: Generalized Autoregressive Neural Network Models

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Graph Neural Network (GNN) is a powerful tool to perform standard machine learning on graphs. To have a Euclidean representation of every node in the Non-Euclidean graph-like data, GNN follows neighbourhood aggregation and combination of…

Machine Learning · Computer Science 2021-11-18 Sucheta Dawn , Sanghamitra Bandyopadhyay

Network time series are becoming increasingly relevant in the study of dynamic processes characterised by a known or inferred underlying network structure. Generalised Network Autoregressive (GNAR) models provide a parsimonious framework…

Methodology · Statistics 2024-07-08 Guy Nason , Daniel Salnikov , Mario Cortina-Borja

In this paper, we use convolutional neural networks to address the problem of model identification for autoregressive moving average time series models. We compare the performance of several neural network architectures, trained on…

Methodology · Statistics 2020-07-21 Wai Hoh Tang , Adrian Röllin

In this paper, we consider a model called CHARME (Conditional Heteroscedastic Autoregressive Mixture of Experts), a class of generalized mixture of nonlinear nonparametric AR-ARCH time series. Under certain Lipschitz-type conditions on the…

Machine Learning · Statistics 2020-11-18 José G. Gómez García , Jalal Fadili , Christophe Chesneau

This paper presents a novel Generative Neural Network Architecture for modelling the inverse function of an Artificial Neural Network (ANN) either completely or partially. Modelling the complete inverse function of an ANN involves…

Machine Learning · Computer Science 2021-04-09 Mohammad Aaftab , Mansi Sharma

Multivariate time series forecasting is an important machine learning problem across many domains, including predictions of solar plant energy output, electricity consumption, and traffic jam situation. Temporal data arise in these…

Machine Learning · Computer Science 2018-04-20 Guokun Lai , Wei-Cheng Chang , Yiming Yang , Hanxiao Liu

Real-world time series data exhibit non-stationary behavior, regime shifts, and temporally varying noise (heteroscedastic) that degrade the robustness of standard regression models. We introduce the Variability-Aware Recursive Neural…

Machine Learning · Computer Science 2025-10-13 Haroon Gharwi , Kai Shu

Temporal Graph Learning (TGL) has become a prevalent technique across diverse real-world applications, especially in domains where data can be represented as a graph and evolves over time. Although TGL has recently seen notable progress in…

Machine Learning · Computer Science 2024-02-27 Weilin Cong , Jian Kang , Hanghang Tong , Mehrdad Mahdavi

Regression is a fundamental task in machine learning that has garnered extensive attention over the past decades. The conventional approach for regression involves employing loss functions that primarily concentrate on aligning model…

Machine Learning · Computer Science 2025-06-12 Dixian Zhu , Tianbao Yang , Livnat Jerby

In this paper we present a new framework for time-series modeling that combines the best of traditional statistical models and neural networks. We focus on time-series with long-range dependencies, needed for monitoring fine granularity…

Machine Learning · Computer Science 2019-12-02 Oskar Triebe , Nikolay Laptev , Ram Rajagopal

Dealing with missing values and incomplete time series is a labor-intensive, tedious, inevitable task when handling data coming from real-world applications. Effective spatio-temporal representations would allow imputation methods to…

Machine Learning · Computer Science 2022-02-11 Andrea Cini , Ivan Marisca , Cesare Alippi

Message passing neural networks (MPNN) have seen a steep rise in popularity since their introduction as generalizations of convolutional neural networks to graph-structured data, and are now considered state-of-the-art tools for solving a…

Machine Learning · Computer Science 2022-08-05 Sohir Maskey , Ron Levie , Yunseok Lee , Gitta Kutyniok

Reinforcement learning is well known for its ability to model sequential tasks and learn latent data patterns adaptively. Deep learning models have been widely explored and adopted in regression and classification tasks. However, deep…

Machine Learning · Computer Science 2025-06-17 Thanveer Shaik , Xiaohui Tao , Haoran Xie , Lin Li , Jianming Yong , Yuefeng Li

Modeling and generating graphs is fundamental for studying networks in biology, engineering, and social sciences. However, modeling complex distributions over graphs and then efficiently sampling from these distributions is challenging due…

Machine Learning · Computer Science 2018-06-26 Jiaxuan You , Rex Ying , Xiang Ren , William L. Hamilton , Jure Leskovec

Generative moment matching networks (GMMNs) are introduced as dependence models for the joint innovation distribution of multivariate time series (MTS). Following the popular copula-GARCH approach for modeling dependent MTS data, a…

Methodology · Statistics 2021-10-05 Marius Hofert , Avinash Prasad , Mu Zhu

The Generalized Additive Model (GAM) is a powerful tool and has been well studied. This model class helps to identify additive regression structure. Via available test procedures one may identify the regression structure even sharper if…

Methodology · Statistics 2020-09-11 Rong Liu , Wolfgang Karl Härdle

Autoregressive (AR) models remain widely used in time series analysis due to their interpretability, but convencional parameter estimation methods can be computationally expensive and prone to convergence issues. This paper proposes a…

Machine Learning · Statistics 2026-03-20 Anaísa Lucena , Ana Martins , Armando J. Pinho , Sónia Gouveia

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

Graph Neural Networks (GNNs) are becoming central in the study of time series, coupled with existing algorithms as Temporal Convolutional Networks and Recurrent Neural Networks. In this paper, we see time series themselves as directed…

Machine Learning · Computer Science 2023-10-05 Angelica Simonetti , Ferdinando Zanchetta

We describe a method to construct directed networks from multivariate time series which has several advantages over the widely accepted methods. This method is based on an information theoretic reduction of linear (auto-regressive) models.…

Data Analysis, Statistics and Probability · Physics 2018-08-13 Toshihiro Tanizawa , Tomomichi Nakamura , Fumihiko Taya , Michael Small