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Global information is essential for dense prediction problems, whose goal is to compute a discrete or continuous label for each pixel in the images. Traditional convolutional layers in neural networks, initially designed for image…

Computer Vision and Pattern Recognition · Computer Science 2020-09-28 Jiahao Su , Shiqi Wang , Furong Huang

In this paper, we address the problem of adaptive learning for autoregressive moving average (ARMA) model in the quaternion domain. By transforming the original learning problem into a full information optimization task without explicit…

Machine Learning · Statistics 2019-04-29 Xiaokun Pu , Chunguang Li

ARFIMA is a time series forecasting model, which is an improved ARMA model, the ARFIMA model proposed in this article is demonstrated and deduced in detail. combined with network traffic of CERNET backbone and the ARFIMA model,the result…

Networking and Internet Architecture · Computer Science 2013-02-27 Dingding Zhou , Songling Chen , Shi Dong

This paper studies system identification of high-dimensional ARMA models with binary-valued observations. The existing paper can only deal with the case where the regression term is only one-dimensional. In this paper, the ARMA model with…

Optimization and Control · Mathematics 2024-10-29 Xin Li , Ting Wang , Jin Guo , Yanlong Zhao

In this paper we discuss dynamic ARMA-type regression models for time series taking values in $(0,\infty)$. In the proposed model, the conditional mean is modeled by a dynamic structure containing autoregressive and moving average terms,…

Emerging applications such as Deep Learning are often data-driven, thus traditional approaches based on auto-tuners are not performance effective across the wide range of inputs used in practice. In the present paper, we start an…

Machine Learning · Computer Science 2022-12-12 Damiano Perri , Paolo Sylos Labini , Osvaldo Gervasi , Sergio Tasso , Flavio Vella

Discrete-time input/output models, also called infinite impulse response (IIR) models or autoregressive moving average (ARMA) models, are useful for online identification as they can be efficiently updated using recursive least squares…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Brian Lai , Dennis S. Bernstein

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

Celestial objects exhibit a wide range of variability in brightness at different wavebands. Surprisingly, the most common methods for characterizing time series in statistics -- parametric autoregressive modeling -- is rarely used to…

Instrumentation and Methods for Astrophysics · Physics 2019-01-24 Eric D. Feigelson , G. Jogesh Babu , Gabriel A. Caceres

Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

Social and Information Networks · Computer Science 2025-02-05 Angelo Mele

The modeling of time-varying graph signals as stationary time-vertex stochastic processes permits the inference of missing signal values by efficiently employing the correlation patterns of the process across different graph nodes and time…

Machine Learning · Statistics 2023-10-16 Eylem Tugce Guneyi , Berkay Yaldiz , Abdullah Canbolat , Elif Vural

The autoregressive moving average (ARMA) model is one of the most important models in time series analysis.We consider the Bayesian estimation of an unknown spectral density in the ARMA model.In the i.i.d. cases, Komaki showed that Bayesian…

Statistics Theory · Mathematics 2021-05-27 Fuyuhiko Tanaka , Fumiyasu Komaki

Time series anomaly detection plays a critical role in automated monitoring systems. Most previous deep learning efforts related to time series anomaly detection were based on recurrent neural networks (RNN). In this paper, we propose a…

Machine Learning · Computer Science 2019-06-03 Tailai Wen , Roy Keyes

The application of neural networks to non-linear dynamic system identification tasks has a long history, which consists mostly of autoregressive approaches. Autoregression, the usage of the model outputs of previous time steps, is a method…

Machine Learning · Computer Science 2021-05-06 Daniel Weber , Clemens Gühmann

An important feature of all real-world networks is that the network structure changes over time. Due to this dynamic nature, it becomes difficult to propose suitable growth models that can explain the various important characteristic…

Social and Information Networks · Computer Science 2016-02-17 Sandipan Sikdar , Niloy Ganguly , Animesh Mukherjee

Anomaly detection on time series data is increasingly common across various industrial domains that monitor metrics in order to prevent potential accidents and economic losses. However, a scarcity of labeled data and ambiguous definitions…

Machine Learning · Computer Science 2022-12-29 Lawrence Wong , Dongyu Liu , Laure Berti-Equille , Sarah Alnegheimish , Kalyan Veeramachaneni

This study reports a statistical analysis of monthly sunspot number time series and observes non homogeneity and asymmetry within it. Using Mann-Kendall test a linear trend is revealed. After identifying stationarity within the time series…

General Physics · Physics 2012-04-19 Goutami Chattopadhyay , Surajit Chattopadhyay

Most methods for time series classification that attain state-of-the-art accuracy have high computational complexity, requiring significant training time even for smaller datasets, and are intractable for larger datasets. Additionally, many…

Machine Learning · Computer Science 2021-07-15 Angus Dempster , François Petitjean , Geoffrey I. Webb

The paper considers the problem to estimate a graphical model corresponding to an autoregressive moving-average (ARMA) Gaussian stochastic process. We propose a new maximum entropy covariance and cepstral extension problem and we show that…

Optimization and Control · Mathematics 2023-08-29 Mattia Zorzi

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