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Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

Machine Learning · Statistics 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

The autoregressive world model exhibits robust generalization capabilities in vectorized scene understanding but encounters difficulties in deriving actions due to insufficient uncertainty modeling and self-delusion. In this paper, we…

Robotics · Computer Science 2024-09-25 Lingyu Xiao , Jiang-Jiang Liu , Sen Yang , Xiaofan Li , Xiaoqing Ye , Wankou Yang , Jingdong Wang

Various probabilistic time series forecasting models have sprung up and shown remarkably good performance. However, the choice of model highly relies on the characteristics of the input time series and the fixed distribution that the model…

Machine Learning · Computer Science 2023-09-01 Yunyi Zhou , Zhixuan Chu , Yijia Ruan , Ge Jin , Yuchen Huang , Sheng Li

Pre-trained foundation models (FMs) have shown exceptional performance in univariate time series forecasting tasks. However, several practical challenges persist, including managing intricate dependencies among features and quantifying…

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

Autoregressive models capture stochastic processes in which past realizations determine the generative distribution of new data; they arise naturally in a variety of industrial, biomedical, and financial settings. A key challenge when…

Statistics Theory · Mathematics 2020-07-30 Daren Wang , Yi Yu , Alessandro Rinaldo , Rebecca Willett

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

Machine Learning · Statistics 2024-06-25 Derck W. E. Prinzhorn , Thijmen Nijdam , Putri A. van der Linden , Alexander Timans

In a real life process evolving over time, the relationship between its relevant variables may change. Therefore, it is advantageous to have different inference models for each state of the process. Asymmetric hidden Markov models fulfil…

Machine Learning · Computer Science 2023-05-16 Carlos Puerto-Santana , Pedro Larrañaga , Concha Bielza

We propose a Weighted Autoregressive Varying gatE (WAVE) attention mechanism equipped with both Autoregressive (AR) and Moving-average (MA) components. It can adapt to various attention mechanisms, enhancing and decoupling their ability to…

Machine Learning · Computer Science 2026-02-06 Jiecheng Lu , Xu Han , Yan Sun , Shihao Yang

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Time series forecasting is a key component in many industrial and business decision processes and recurrent neural network (RNN) based models have achieved impressive progress on various time series forecasting tasks. However, most of the…

Machine Learning · Computer Science 2021-01-26 Zekai Chen , Jiaze E , Xiao Zhang , Hao Sheng , Xiuzheng Cheng

As an essential task in autonomous driving (AD), motion prediction aims to predict the future states of surround objects for navigation. One natural solution is to estimate the position of other agents in a step-by-step manner where each…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Xiaosong Jia , Shaoshuai Shi , Zijun Chen , Li Jiang , Wenlong Liao , Tao He , Junchi Yan

Transformers have demonstrated impressive strength in long-term series forecasting. Existing prediction research mostly focused on mapping past short sub-series (lookback window) to future series (forecast window). The longer training…

Machine Learning · Computer Science 2023-02-22 Julong Young , Junhui Chen , Feihu Huang , Jian Peng

Turn-taking prediction models are essential components in spoken dialogue systems and conversational robots. Recent approaches leverage transformer-based architectures to predict speech activity continuously and in real-time. In this study,…

Computation and Language · Computer Science 2025-07-04 Koji Inoue , Mikey Elmers , Yahui Fu , Zi Haur Pang , Divesh Lala , Keiko Ochi , Tatsuya Kawahara

The performance of frequency regulating units for automatic generation control (AGC) of power systems depends on their ability to track the AGC signal accurately. In addition, representative models and advanced analysis and analytics can…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Sarnaduti Brahma , Hamid R. Ossareh , Mads R. Almassalkhi

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Contemporary time series analysis has seen more and more tensor type data, from many fields. For example, stocks can be grouped according to Size, Book-to-Market ratio, and Operating Profitability, leading to a 3-way tensor observation at…

Methodology · Statistics 2021-10-05 Zebang Li , Han Xiao

We propose a novel approach to the statistical analysis of stochastic simulation models and, especially, agent-based models (ABMs). Our main goal is to provide fully automated, model-independent and tool-supported techniques and algorithms…

General Economics · Economics 2023-11-09 Andrea Vandin , Daniele Giachini , Francesco Lamperti , Francesca Chiaromonte

Time series prediction is often complicated by distribution shift which demands adaptive models to accommodate time-varying distributions. We frame time series prediction under distribution shift as a weighted empirical risk minimisation…

Machine Learning · Computer Science 2022-07-26 Stefanos Bennett , Jase Clarkson