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To address the difficult problem of multi-step ahead prediction of non-parametric autoregressions, we consider a forward bootstrap approach. Employing a local constant estimator, we can analyze a general type of non-parametric time series…

Methodology · Statistics 2023-11-02 Dimitris N. Politis , Kejin Wu

The ability to reliably predict the future quality of a wireless channel, as seen by the media access control layer, is a key enabler to improve performance of future industrial networks that do not rely on wires. Knowing in advance how…

Networking and Internet Architecture · Computer Science 2023-06-16 Gabriele Formis , Stefano Scanzio , Gianluca Cena , Adriano Valenzano

Variational inference has had great success in scaling approximate Bayesian inference to big data by exploiting mini-batch training. To date, however, this strategy has been most applicable to models of independent data. We propose an…

Machine Learning · Statistics 2021-05-19 Tom Ryder , Dennis Prangle , Andrew Golightly , Isaac Matthews

Machine learning approaches have recently been leveraged as a substitute or an aid for physical/mathematical modeling approaches to dynamical systems. To develop an efficient machine learning method dedicated to modeling and prediction of…

Machine Learning · Computer Science 2022-08-01 Gouhei Tanaka , Tadayoshi Matsumori , Hiroaki Yoshida , Kazuyuki Aihara

We consider the problem of choosing the optimal (in the sense of mean-squared prediction error) multistep predictor for an autoregressive (AR) process of finite but unknown order. If a working AR model (which is possibly misspecified) is…

Statistics Theory · Mathematics 2007-06-13 Ching-Kang Ing

In this paper, a new approach to bivariate modeling of autoregressive conditional duration (ACD) models is proposed. Specifically, we consider the joint modeling of durations and the number of transactions made during the spell. The…

Applications · Statistics 2023-06-27 Helton Saulo , Suvra Pal , Roberto Vila

This work is concerned with autoregressive prediction of turning points in financial price sequences. Such turning points are critical local extrema points along a series, which mark the start of new swings. Predicting the future time of…

Machine Learning · Computer Science 2012-09-25 Ran El-Yaniv , Alexandra Faynburd

An emerging number of modern applications involve forecasting time series data that exhibit both short-time dynamics and long-time seasonality. Specifically, time series with multiple seasonality is a difficult task with comparatively fewer…

Machine Learning · Computer Science 2020-08-31 Tianyang Xie , Jie Ding

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 consider the problem of constructing distribution-free prediction intervals for multi-step time series forecasting, with a focus on the temporal dependencies inherent in multi-step forecast errors. We establish that the optimal…

Methodology · Statistics 2026-02-03 Xiaoqian Wang , Rob J Hyndman

Designing a universal policy architecture that performs well across diverse robots and task configurations remains a key challenge. In this work, we address this by representing robot actions as sequential data and generating actions…

Robotics · Computer Science 2025-03-27 Xinyu Zhang , Yuhan Liu , Haonan Chang , Liam Schramm , Abdeslam Boularias

Dynamic linear regression models forecast the values of a time series based on a linear combination of a set of exogenous time series while incorporating a time series process for the error term. This error process is often assumed to…

Methodology · Statistics 2026-04-02 Thomas Goodwin , Matias Quiroz , Robert Kohn

Autoregressive models (ARMs) currently hold state-of-the-art performance in likelihood-based modeling of image and audio data. Generally, neural network based ARMs are designed to allow fast inference, but sampling from these models is…

Machine Learning · Computer Science 2020-07-09 Auke Wiggers , Emiel Hoogeboom

Autoregressive neural network models have been used successfully for sequence generation, feature extraction, and hypothesis scoring. This paper presents yet another use for these models: allocating more computation to more difficult…

Machine Learning · Computer Science 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

Most long memory forecasting studies assume that the memory is generated by the fractional difference operator. We argue that the most cited theoretical arguments for the presence of long memory do not imply the fractional difference…

Econometrics · Economics 2020-05-15 J. Eduardo Vera-Valdés

In this paper, five different deep learning models are being compared for predicting travel time. These models are autoregressive integrated moving average (ARIMA) model, recurrent neural network (RNN) model, autoregressive (AR) model,…

Machine Learning · Computer Science 2021-11-17 Armstrong Aboah , Elizabeth Arthur

Many economic variables feature changes in their conditional mean and volatility, and Time Varying Vector Autoregressive Models are often used to handle such complexity in the data. Unfortunately, when the number of series grows, they…

Econometrics · Economics 2022-01-19 G. Cubadda , S. Grassi , B. Guardabascio

A new portmanteau diagnostic test for vector autoregressive moving average (VARMA) models that is based on the determinant of the standardized multivariate residual autocorrelations is derived. The new test statistic may be considered an…

Statistics Theory · Mathematics 2016-11-03 Esam Mahdi , A. Ian McLeod

Future trajectories play an important role across domains such as autonomous driving, hurricane forecasting, and epidemic modeling, where practitioners commonly generate ensemble paths by sampling probabilistic models or leveraging multiple…

Machine Learning · Computer Science 2025-08-20 Ruipu Li , Daniel Menacho , Alexander Rodríguez

Standard dynamics models for continuous control make use of feedforward computation to predict the conditional distribution of next state and reward given current state and action using a multivariate Gaussian with a diagonal covariance…

Machine Learning · Computer Science 2021-04-29 Michael R. Zhang , Tom Le Paine , Ofir Nachum , Cosmin Paduraru , George Tucker , Ziyu Wang , Mohammad Norouzi