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The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

Fluid Dynamics · Physics 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

Conformalized Quantile Regression (CQR) is a recently proposed method for constructing prediction intervals for a response $Y$ given covariates $X$, without making distributional assumptions. However, existing constructions of CQR can be…

Methodology · Statistics 2024-05-16 Raphael Rossellini , Rina Foygel Barber , Rebecca Willett

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus on one single recovery for each observation, and thus neglect…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Chen Zhang , Riccardo Barbano , Bangti Jin

Spatial autoregressive model, introduced by Clif and Ord in 1970s has been widely applied in many areas of science and econometrics such as regional economics, public finance, political sciences, agricultural economics, environmental…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews

We propose an Embedding Network Autoregressive Model for multivariate networked longitudinal data. We assume the network is generated from a latent variable model, and these unobserved variables are included in a structural peer effect…

Methodology · Statistics 2025-03-25 Jae Ho Chang , Subhadeep Paul

This paper presents Diffusion via Autoregressive models (D-AR), a new paradigm recasting the image diffusion process as a vanilla autoregressive procedure in the standard next-token-prediction fashion. We start by designing the tokenizer…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Ziteng Gao , Mike Zheng Shou

Modeling responses on the nodes of a large-scale network is an important task that arises commonly in practice. This paper proposes a community network vector autoregressive (CNAR) model, which utilizes the network structure to characterize…

Methodology · Statistics 2020-07-13 Elynn Y. Chen , Jianqing Fan , Xuening Zhu

Time-varying causal models provide a powerful framework for studying dynamic scientific systems, yet most existing approaches assume that the underlying causal network is known a priori - an assumption rarely satisfied in real-world domains…

Machine Learning · Computer Science 2026-05-28 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

Statistics Theory · Mathematics 2020-01-01 Xiucai Ding , Zhou Zhou

Effective decision making requires understanding the uncertainty inherent in a prediction. In regression, this uncertainty can be estimated by a variety of methods; however, many of these methods are laborious to tune, generate…

Machine Learning · Statistics 2021-12-02 Tianhui Zhou , Yitong Li , Yuan Wu , David Carlson

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

Methodology · Statistics 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

INteger Auto-Regressive (INAR) processes are usually defined by specifying the innovations and the operator, which often leads to difficulties in deriving marginal properties of the process. In many practical situations, a major modeling…

Methodology · Statistics 2020-04-21 Matheus B. Guerrero , Wagner Barreto-Souza , Hernando Ombao

The machine learning literature contains several constructions for prediction intervals that are intuitively reasonable but ultimately ad-hoc in that they do not come with provable performance guarantees. We present methods from the…

Machine Learning · Statistics 2020-02-25 Danijel Kivaranovic , Kory D. Johnson , Hannes Leeb

We present a new approach to automatic amortized inference in universal probabilistic programs which improves performance compared to current methods. Our approach is a variation of inference compilation (IC) which leverages deep neural…

Machine Learning · Computer Science 2019-10-29 William Harvey , Andreas Munk , Atılım Güneş Baydin , Alexander Bergholm , Frank Wood

Existing autoregressive (AR) image generative models use a token-by-token generation schema. That is, they predict a per-token probability distribution and sample the next token from that distribution. The main challenge is how to model the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Qinyu Zhao , Stephen Gould , Liang Zheng

We introduce Hyper-Conditioned Neural Autoregressive Flow (HCNAF); a powerful universal distribution approximator designed to model arbitrarily complex conditional probability density functions. HCNAF consists of a neural-net based…

Machine Learning · Computer Science 2020-04-28 Geunseob Oh , Jean-Sebastien Valois

This paper develops a methodology for approximating the posterior first two moments of the posterior distribution in Bayesian inference. Partially specified probability models, which are defined only by specifying means and variances, are…

Methodology · Statistics 2009-01-27 K. Triantafyllopoulos , P. J. Harrison

Across many areas, from neural tracking to database entity resolution, manual assessment of clusters by human experts presents a bottleneck in rapid development of scalable and specialized clustering methods. To solve this problem we…

Machine Learning · Statistics 2020-03-20 Hanlin Zhu , Xue Li , Liuyang Sun , Fei He , Zhengtuo Zhao , Lan Luan , Ngoc Mai Tran , Chong Xie

Quantifying uncertainty in deep regression models is important both for understanding the confidence of the model and for safe decision-making in high-risk domains. Existing approaches that yield prediction intervals overlook distributional…

Machine Learning · Computer Science 2025-12-02 Adriel Sosa Marco , John Daniel Kirwan , Alexia Toumpa , Simos Gerasimou