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This work presents a novel regularization method for the identification of Nonlinear Autoregressive eXogenous (NARX) models. The regularization method promotes the exponential decay of the influence of past input samples on the current…

Systems and Control · Electrical Eng. & Systems 2022-08-22 L. H. Peeters , G. I. Beintema , M. Forgione , M. Schoukens

This paper presents a time series forecasting framework which combines standard forecasting methods and a machine learning model. The inputs to the machine learning model are not lagged values or regular time series features, but instead…

Machine Learning · Statistics 2020-01-15 Shi Zhao , Ying Feng

The autoregressive moving average (ARMA) model takes the significant position in time series analysis for a wide-sense stationary time series. The difference operator and seasonal difference operator, which are bases of ARIMA and SARIMA…

Applications · Statistics 2021-03-03 Shixiong Wang , Chongshou Li , Andrew Lim

Modelling physical data with linear discrete time series, namely Fractionally Integrated Autoregressive Moving Average (ARFIMA), is a technique which achieved attention in recent years. However, these models are used mainly as a statistical…

Data Analysis, Statistics and Probability · Physics 2017-03-20 Jakub Ślęzak , Aleksander Weron

We introduce Autoregressive Diffusion Models (ARDMs), a model class encompassing and generalizing order-agnostic autoregressive models (Uria et al., 2014) and absorbing discrete diffusion (Austin et al., 2021), which we show are special…

Machine Learning · Computer Science 2022-02-03 Emiel Hoogeboom , Alexey A. Gritsenko , Jasmijn Bastings , Ben Poole , Rianne van den Berg , Tim Salimans

Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

Signal Processing · Electrical Eng. & Systems 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

Numerical Analysis · Mathematics 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

The explosion of Time Series (TS) data, driven by advancements in technology, necessitates sophisticated analytical methods. Modern management systems increasingly rely on analyzing this data, highlighting the importance of effcient…

Machine Learning · Computer Science 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang

Real-world data often exhibits sequential dependence, across diverse domains such as human behavior, medicine, finance, and climate modeling. Probabilistic methods capture the inherent uncertainty associated with prediction in these…

Machine Learning · Statistics 2024-03-08 Alex Boyd

In the past four decades, research on count time series has made significant progress, but research on $\mathbb{Z}$-valued time series is relatively rare. Existing $\mathbb{Z}$-valued models are mainly of autoregressive structure, where the…

Methodology · Statistics 2024-02-27 Christian H. Weiß , Fukang Zhu

Generative models (GMs) such as Generative Adversary Network (GAN) and Variational Auto-Encoder (VAE) have thrived these years and achieved high quality results in generating new samples. Especially in Computer Vision, GMs have been used in…

Machine Learning · Computer Science 2018-04-27 Honggang Zhou , Yunchun Li , Hailong Yang , Wei Li , Jie Jia

The identification of the lag length for vector autoregressive models by mean of Akaike Information Criterion (AIC), Partial Autoregressive and Correlation Matrices (PAM and PCM hereafter) is studied in the framework of processes with time…

Methodology · Statistics 2013-08-27 Hamdi RaÏssi

We study the adaptation of convolutional neural networks to the complex temporal radio signal domain. We compare the efficacy of radio modulation classification using naively learned features against using expert features which are widely…

Machine Learning · Computer Science 2016-06-14 Timothy J O'Shea , Johnathan Corgan , T. Charles Clancy

Time series analysis remains a major challenge due to its sparse characteristics, high dimensionality, and inconsistent data quality. Recent advancements in transformer-based techniques have enhanced capabilities in forecasting and…

Machine Learning · Computer Science 2024-05-29 Robert Leppich , Vanessa Borst , Veronika Lesch , Samuel Kounev

Providing forecasts for ultra-long time series plays a vital role in various activities, such as investment decisions, industrial production arrangements, and farm management. This paper develops a novel distributed forecasting framework to…

Applications · Statistics 2024-04-23 Xiaoqian Wang , Yanfei Kang , Rob J Hyndman , Feng Li

In this paper we propose a recursive online algorithm for estimating the parameters of a time-varying ARCH process. The estimation is done by updating the estimator at time point $t-1$ with observations about the time point $t$ to yield an…

Statistics Theory · Mathematics 2009-09-29 Rainer Dahlhaus , Suhasini Subba Rao

Learning the dynamics of complex systems features a large number of applications in data science. Graph-based modeling and inference underpins the most prominent family of approaches to learn complex dynamics due to their ability to capture…

Signal Processing · Electrical Eng. & Systems 2018-07-06 Luis M. Lopez-Ramos , Daniel Romero , Bakht Zaman , Baltasar Beferull-Lozano

Radar pulse streams exhibit increasingly complex temporal patterns and can no longer rely on a purely value-based analysis of the pulse attributes for the purpose of emitter classification. In this paper, we employ Recurrent Neural Networks…

Signal Processing · Electrical Eng. & Systems 2019-11-20 Paolo Notaro , Magdalini Paschali , Carsten Hopke , David Wittmann , Nassir Navab

Finding model parameters from data is an essential task in science and engineering, from weather and climate forecasts to plasma control. Previous works have employed neural networks to greatly accelerate finding solutions to inverse…

Machine Learning · Computer Science 2024-08-16 Philipp Holl , Nils Thuerey

Randomized artificial neural networks such as extreme learning machines provide an attractive and efficient method for supervised learning under limited computing ressources and green machine learning. This especially applies when equipping…

Machine Learning · Statistics 2022-01-02 Ansgar Steland , Bart E. Pieters
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