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It was recently proposed that neural networks could be used to approximate many-dimensional probability distributions that appear e.g. in lattice field theories or statistical mechanics. Subsequently they can be used as variational…

Statistical Mechanics · Physics 2022-11-17 Piotr Białas , Piotr Korcyl , Tomasz Stebel

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

This article introduces the GNAR package, which fits, predicts, and simulates from a powerful new class of generalised network autoregressive processes. Such processes consist of a multivariate time series along with a real, or inferred,…

Methodology · Statistics 2019-12-11 Marina Knight , Kathryn Leeming , Guy Nason , Matthew Nunes

Standard autoregressive language models perform only polynomial-time computation to compute the probability of the next symbol. While this is attractive, it means they cannot model distributions whose next-symbol probability is hard to…

Machine Learning · Computer Science 2021-06-01 Chu-Cheng Lin , Aaron Jaech , Xin Li , Matthew R. Gormley , Jason Eisner

Many efforts have been devoted to training generative latent variable models with autoregressive decoders, such as recurrent neural networks (RNN). Stochastic recurrent models have been successful in capturing the variability observed in…

Machine Learning · Statistics 2017-11-17 Anirudh Goyal , Alessandro Sordoni , Marc-Alexandre Côté , Nan Rosemary Ke , Yoshua Bengio

Countless learning tasks require dealing with sequential data. Image captioning, speech synthesis, and music generation all require that a model produce outputs that are sequences. In other domains, such as time series prediction, video…

Machine Learning · Computer Science 2015-10-20 Zachary C. Lipton , John Berkowitz , Charles Elkan

Sequential dependencies present a fundamental bottleneck in deploying large-scale autoregressive models, particularly for real-time applications. While traditional optimization approaches like pruning and quantization often compromise model…

Computation and Language · Computer Science 2025-10-09 Yunhai Hu , Zining Liu , Zhenyuan Dong , Tianfan Peng , Bradley McDanel , Sai Qian Zhang

Autoregressive video diffusion models hold promise for world simulation but are vulnerable to exposure bias arising from the train-test mismatch. While recent works address this via post-training, they typically rely on a bidirectional…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Yuwei Guo , Ceyuan Yang , Hao He , Yang Zhao , Meng Wei , Zhenheng Yang , Weilin Huang , Dahua Lin

Non-autoregressive (NAR) models simultaneously generate multiple outputs in a sequence, which significantly reduces the inference speed at the cost of accuracy drop compared to autoregressive baselines. Showing great potential for real-time…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-12 Yosuke Higuchi , Nanxin Chen , Yuya Fujita , Hirofumi Inaguma , Tatsuya Komatsu , Jaesong Lee , Jumon Nozaki , Tianzi Wang , Shinji Watanabe

Directly learning to generate audio waveforms in an autoregressive manner is a challenging task, due to the length of the raw sequences and the existence of important structure on many different timescales. Traditional approaches based on…

Sound · Computer Science 2025-10-06 Konrad Szewczyk , Daniel Gallo Fernández , James Townsend

Model-based reinforcement learning attempts to use an available or learned model to improve the data efficiency of reinforcement learning. This work proposes a one-step lookback approach that jointly learns the deep incremental model and…

Robotics · Computer Science 2025-02-28 Cong Li

Speech-to-text alignment is a critical component of neural text to speech (TTS) models. Autoregressive TTS models typically use an attention mechanism to learn these alignments on-line, while non-autoregressive end to end TTS models rely on…

Sound · Computer Science 2025-09-01 Junjie Cao

Autoregressive generative models play a key role in various language tasks, especially for modeling and evaluating long text sequences. While recent methods leverage stochastic representations to better capture sequence dynamics, encoding…

Computation and Language · Computer Science 2025-09-22 Tianhao Zhang , Zhecheng Sheng , Zhexiao Lin , Chen Jiang , Dongyeop Kang

While most prior work in video generation relies on bidirectional architectures, recent efforts have sought to adapt these models into autoregressive variants to support near real-time generation. However, such adaptations often depend…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Jingran Zhang , Ning Li , Yuanhao Ban , Andrew Bai , Justin Cui

Autoregressive models (ARMs) currently constitute the dominant paradigm for large language models (LLMs). Energy-based models (EBMs) represent another class of models, which have historically been less prevalent in LLM development, yet…

Machine Learning · Computer Science 2026-05-26 Mathieu Blondel , Michael E. Sander , Germain Vivier-Ardisson , Tianlin Liu , Vincent Roulet

We propose a general framework for solving statistical mechanics of systems with finite size. The approach extends the celebrated variational mean-field approaches using autoregressive neural networks, which support direct sampling and…

Statistical Mechanics · Physics 2019-06-10 Dian Wu , Lei Wang , Pan Zhang

The assessment of highly-risky situations at road intersections have been recently revealed as an important research topic within the context of the automotive industry. In this paper we shall introduce a novel approach to compute risk…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Alejandro Chinea Manrique De Lara , Michel Parent

Advances in machine learning methods for computer vision tasks have led to their consideration for safety-critical applications like autonomous driving. However, effectively integrating these methods into the automotive development…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Youssef Shoeb , Azarm Nowzad , Hanno Gottschalk

This paper aims to discuss and analyze the potentialities of Recurrent Neural Networks (RNN) in control design applications. The main families of RNN are considered, namely Neural Nonlinear AutoRegressive eXogenous, (NNARX), Echo State…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Fabio Bonassi , Marcello Farina , Jing Xie , Riccardo Scattolini

We investigate mathematically the notion of incoherence: a structural issue with reinforcement learning policies derived by naive goal-conditioning of autoregressive models. We focus on the process of re-training models on their own…

Machine Learning · Computer Science 2026-04-02 Jacek Karwowski , Raymond Douglas
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