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Autoregressive models are typically applied to sequences of discrete tokens, but recent research indicates that generating sequences of continuous embeddings in an autoregressive manner is also feasible. However, such Continuous…

Machine Learning · Computer Science 2024-11-28 Marco Pasini , Javier Nistal , Stefan Lattner , George Fazekas

Autoregressive models have emerged as a powerful approach for visual generation but suffer from slow inference speed due to their sequential token-by-token prediction process. In this paper, we propose a simple yet effective approach for…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Yuqing Wang , Shuhuai Ren , Zhijie Lin , Yujin Han , Haoyuan Guo , Zhenheng Yang , Difan Zou , Jiashi Feng , Xihui Liu

The two dominant approaches to neural text generation are fully autoregressive models, using serial beam search decoding, and non-autoregressive models, using parallel decoding with no output dependencies. This work proposes an…

Computation and Language · Computer Science 2020-12-08 Yuntian Deng , Alexander M. Rush

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

Autoregressive (AR) modeling is invaluable in signal processing, in particular in speech and audio fields. Attempts in the literature can be found that regularize or constrain either the time-domain signal values or the AR coefficients,…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-06 Ondřej Mokrý , Pavel Rajmic

We describe a novel approach for generating music using a self-correcting, non-chronological, autoregressive model. We represent music as a sequence of edit events, each of which denotes either the addition or removal of a note---even a…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-21 Wayne Chi , Prachi Kumar , Suri Yaddanapudi , Rahul Suresh , Umut Isik

The autoregressive time series model is a popular second-order stationary process, modeling a wide range of real phenomena. However, in applications, autoregressive signals are often corrupted by additive noise. Further, the autoregressive…

Methodology · Statistics 2025-12-09 Sayantan Banerjee , Agnieszka Wylomanska , Sundar S

This paper introduces a novel methodology for the identification of switching dynamics for switched autoregressive linear models. Switching behavior is assumed to follow a Markov model. The system's outputs are contaminated by possibly…

Signal Processing · Electrical Eng. & Systems 2019-03-28 Sarah Hojjatinia , Constantino M. Lagoa

Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

Machine Learning · Computer Science 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

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

The Lasso is a popular model selection and estimation procedure for linear models that enjoys nice theoretical properties. In this paper, we study the Lasso estimator for fitting autoregressive time series models. We adopt a double…

Statistics Theory · Mathematics 2008-05-09 Yuval Nardi , Alessandro Rinaldo

Normalizing flows are a powerful class of generative models for continuous random variables, showing both strong model flexibility and the potential for non-autoregressive generation. These benefits are also desired when modeling discrete…

Machine Learning · Statistics 2019-06-06 Zachary M. Ziegler , Alexander M. Rush

Auto-regressive models are widely used in sequence generation problems. The output sequence is typically generated in a predetermined order, one discrete unit (pixel or word or character) at a time. The models are trained by teacher-forcing…

Computation and Language · Computer Science 2019-10-23 Daniel Duckworth , Arvind Neelakantan , Ben Goodrich , Lukasz Kaiser , Samy Bengio

We develop a Bayesian nonparametric autoregressive model applied to flexibly estimate general transition densities exhibiting nonlinear lag dependence. Our approach is related to Bayesian density regression using Dirichlet process mixtures,…

Methodology · Statistics 2023-02-14 Matthew Heiner , Athanasios Kottas

Bayesian inference plays a central role in scientific and engineering applications by enabling principled reasoning under uncertainty. However, sampling from generic probability distributions remains a computationally demanding task. This…

Applications · Statistics 2025-09-03 Alex Leviyev , Francesco Iacovelli , Aaron Zimmerman

This paper introduces score-based sequential Langevin sampling (SSLS), a novel approach to nonlinear data assimilation within a recursive Bayesian filtering framework. The proposed method decomposes the assimilation process into alternating…

Numerical Analysis · Mathematics 2026-04-07 Zhao Ding , Chenguang Duan , Yuling Jiao , Jerry Zhijian Yang , Cheng Yuan , Pingwen Zhang

Modeling nonstationary processes is of paramount importance to many scientific disciplines including environmental science, ecology, and finance, among others. Consequently, flexible methodology that provides accurate estimation across a…

Methodology · Statistics 2014-08-13 Wen-Hsi Yang , Scott H. Holan , Christopher K. Wikle

This paper proposes a novel diffusion-based posterior sampling method within a plug-and-play (PnP) framework. Our approach constructs a probability transport from an easy-to-sample terminal distribution to the target posterior, using a…

Machine Learning · Statistics 2025-12-10 Jinyuan Chang , Chenguang Duan , Yuling Jiao , Ruoxuan Li , Jerry Zhijian Yang , Cheng Yuan

We introduce a new method to accurately and efficiently estimate the effective dynamics of collective variables in molecular simulations. Such reduced dynamics play an essential role in the study of a broad class of processes, ranging from…

Statistical Mechanics · Physics 2022-03-28 Hadrien Vroylandt , Ludovic Goudenège , Pierre Monmarché , Fabio Pietrucci , Benjamin Rotenberg

Autoregressive models have demonstrated great performance in natural language processing (NLP) with impressive scalability, adaptability and generalizability. Inspired by their notable success in NLP field, autoregressive models have been…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Kai Jiang , Jiaxing Huang