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Long-term time series forecasting (LTSF) is important for various domains but is confronted by challenges in handling the complex temporal-contextual relationships. As multivariate input models underperforming some recent univariate…

Machine Learning · Statistics 2026-02-06 Jiecheng Lu , Xu Han , Shihao Yang

Prediction of user traffic in cellular networks has attracted profound attention for improving resource utilization. In this paper, we study the problem of network traffic traffic prediction and classification by employing standard machine…

Networking and Internet Architecture · Computer Science 2019-06-04 Amin Azari , Panagiotis Papapetrou , Stojan Denic , Gunnar Peters

Forecasting with multivariate time series, which aims to predict future values given previous and current several univariate time series data, has been studied for decades, with one example being ARIMA. Because it is difficult to measure…

Artificial Intelligence · Computer Science 2020-10-19 Youngjin Park , Deokjun Eom , Byoungki Seo , Jaesik Choi

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

Methodology · Statistics 2024-02-27 Yao Zheng

Many machine learning models, including those with non-smooth regularizers, can be formulated as consensus optimization problems, which can be solved by the alternating direction method of multipliers (ADMM). Many recent efforts have been…

Machine Learning · Computer Science 2018-02-27 Rui Zhu , Di Niu , Zongpeng Li

Forecasting of time series in continuous systems becomes an increasingly relevant task due to recent developments in IoT and 5G. The popular forecasting model ARIMA is applied to a large variety of applications for decades. An online…

Machine Learning · Computer Science 2021-01-26 Kevin Styp-Rekowski , Florian Schmidt , Odej Kao

This work presents a Bayesian approach for the estimation of Beta Autoregressive Moving Average ($\beta$ARMA) models. We discuss standard choice for the prior distributions and employ a Hamiltonian Monte Carlo algorithm to sample from the…

Methodology · Statistics 2023-07-17 Aline Foerster Grande , Guilherme Pumi , Gabriela Bettella Cybis

This paper considers the problem of system identification for linear time varying systems. We propose a new system realization approach that uses an "information-state" as the state vector, where the "information-state" is composed of a…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Mohamed Naveed Gul Mohamed , Raman Goyal , Suman Chakravorty , Ran Wang

Numerous real-world decisions rely on machine learning algorithms and require calibrated uncertainty estimates. However, modern methods often yield overconfident, uncalibrated predictions. The dominant approach to quantifying the…

Continuous-time autoregressive moving average (CARMA) processes have recently been used widely in the modeling of non-uniformly spaced data and as a tool for dealing with high-frequency data of the form $Y_{n\Delta}, n=0,1,2,...$, where…

Statistics Theory · Mathematics 2013-01-22 Peter J. Brockwell , Vincenzo Ferrazzano , Claudia Klüppelberg

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

We propose a learnable variational model that learns the features and leverages complementary information from both image and measurement domains for image reconstruction. In particular, we introduce a learned alternating minimization…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Chi Ding , Qingchao Zhang , Ge Wang , Xiaojing Ye , Yunmei Chen

Channel attention mechanisms endeavor to recalibrate channel weights to enhance representation abilities of networks. However, mainstream methods often rely solely on global average pooling as the feature squeezer, which significantly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Yangbo Jiang , Zhiwei Jiang , Le Han , Zenan Huang , Nenggan Zheng

The standard approach for studying the periodic ARMA model with coefficients that vary over the seasons is to express it in a vector form. In this paper we introduce an alternative method which views the periodic formulation as a time…

Methodology · Statistics 2014-03-20 Menelaos Karanasos , Alexandros Paraskevopoulos , Stavros Dafnos

We propose in this paper an original technique to predict global radiation using a hybrid ARMA/ANN model and data issued from a numerical weather prediction model (ALADIN). We particularly look at the Multi-Layer Perceptron. After…

Neural and Evolutionary Computing · Computer Science 2012-01-10 Cyril Voyant , Marc Muselli , Christophe Paoli , Marie Laure Nivet

One of the important and widely used classes of models for non-Gaussian time series is the generalized autoregressive model average models (GARMA), which specifies an ARMA structure for the conditional mean process of the underlying time…

Methodology · Statistics 2021-05-13 Tingguo Zheng , Han Xiao , Rong Chen

Nonstationarity of real-life time series requires model adaptation. In classical approaches like ARMA-ARCH there is assumed some arbitrarily chosen dependence type. To avoid their bias, we will focus on novel more agnostic approach: moving…

Methodology · Statistics 2025-06-09 Jarek Duda

Many modern computer vision and machine learning applications rely on solving difficult optimization problems that involve non-differentiable objective functions and constraints. The alternating direction method of multipliers (ADMM) is a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Zheng Xu , Mario A. T. Figueiredo , Xiaoming Yuan , Christoph Studer , Tom Goldstein

Accurate prediction of financial time series is a key concern for market economy makers and investors. The article selects online store sales and Australian beer sales as representatives of non-stationary, trending, and seasonal financial…

Signal Processing · Electrical Eng. & Systems 2024-06-10 Wei Chen , Yuanyuan Yang , Jianyu Liu

In biomedical and neurodegenerative disorders, accurate and early disease identification remains challenging due to the scarcity of labeled data and the complexity of imaging patterns. To address these challenges, we introduce ARMA-C3, a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 VSS Tejaswi Abburi , Saurabh J. Shigwan , Nitin Kumar
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