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Longitudinal networks are becoming increasingly relevant in the study of dynamic processes characterised by known or inferred community structure. Generalised Network Autoregressive (GNAR) models provide a parsimonious framework for…

Methodology · Statistics 2025-03-14 Guy Nason , Daniel Salnikov , Mario Cortina-Borja

Regression models applied to network data where node attributes are the dependent variables poses a methodological challenge. As has been well studied, naive regression neither properly accounts for community structure, nor does it account…

Methodology · Statistics 2024-02-16 Riddhi Pratim Ghosh , Jukka-Pekka Onnela , Ian Barnett

Network time series are becoming increasingly relevant in the study of dynamic processes characterised by a known or inferred underlying network structure. Generalised Network Autoregressive (GNAR) models provide a parsimonious framework…

Methodology · Statistics 2024-07-08 Guy Nason , Daniel Salnikov , Mario Cortina-Borja

This paper introduces a flexible time-varying network vector autoregressive model framework for large-scale time series. A latent group structure is imposed on the heterogeneous and node-specific time-varying momentum and network spillover…

Methodology · Statistics 2024-03-12 Degui Li , Bin Peng , Songqiao Tang , Weibiao Wu

Individuals or companies in a large social or financial network often display rather heterogeneous behaviors for various reasons. In this work, we propose a network vector autoregressive model with a latent group structure to model…

Methodology · Statistics 2023-08-14 Xuening Zhu , Ganggang Xu , Jianqing Fan

Feed-forward neural networks can be understood as a combination of an intermediate representation and a linear hypothesis. While most previous works aim to diversify the representations, we explore the complementary direction by performing…

Machine Learning · Computer Science 2019-10-24 Han Zhao , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov , Geoffrey J. Gordon

Feed-forward neural networks (NN) are a staple machine learning method widely used in many areas of science and technology. While even a single-hidden layer NN is a universal approximator, its expressive power is limited by the use of…

Machine Learning · Statistics 2023-09-28 Sergei Manzhos , Manabu Ihara

Understanding the time-varying structure of complex temporal systems is one of the main challenges of modern time series analysis. In this paper, we show that every uniformly-positive-definite-in-covariance and sufficiently short-range…

Statistics Theory · Mathematics 2023-04-25 Xiucai Ding , Zhou Zhou

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

A time series is a sequence of observations taken sequentially in time. The autoregressive integrated moving average is a class of the model more used for times series data. However, this class of model has two critical limitations. It fits…

Methodology · Statistics 2020-02-14 Renato Rodrigues Silva

We describe a method to construct directed networks from multivariate time series which has several advantages over the widely accepted methods. This method is based on an information theoretic reduction of linear (auto-regressive) models.…

Data Analysis, Statistics and Probability · Physics 2018-08-13 Toshihiro Tanizawa , Tomomichi Nakamura , Fumihiko Taya , Michael Small

We study reasoning tasks through a framework that integrates auto-regressive (AR) and non-autoregressive (NAR) language models. AR models, which generate text sequentially, excel at producing coherent outputs but often suffer from slow…

Artificial Intelligence · Computer Science 2025-09-26 Qihang Ai , Haiyun Jiang

Autoregressive and recurrent networks have achieved remarkable progress across various fields, from weather forecasting to molecular generation and Large Language Models. Despite their strong predictive capabilities, these models lack a…

Machine Learning · Computer Science 2025-07-22 Dario Coscia , Max Welling , Nicola Demo , Gianluigi Rozza

We propose a scalable, approximate inference hypernetwork framework for a general model of history-dependent processes. The flexible data model is based on a neural ordinary differential equation (NODE) representing the evolution of…

In sequence-to-sequence Transformer ASR, autoregressive (AR) models achieve strong accuracy but suffer from slow decoding, while non-autoregressive (NAR) models enable parallel decoding at the cost of degraded performance. We propose a…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-26 Hao Yen , Pin-Jui Ku , Ante Jukić , Sabato Marco Siniscalchi

We propose Significance-Offset Convolutional Neural Network, a deep convolutional network architecture for regression of multivariate asynchronous time series. The model is inspired by standard autoregressive (AR) models and gating…

Machine Learning · Computer Science 2018-06-13 Mikołaj Bińkowski , Gautier Marti , Philippe Donnat

Generative Adversarial Networks (GANs) have been studied in text generation to tackle the exposure bias problem. Despite their remarkable development, they adopt autoregressive structures so suffering from high latency in both training and…

Computation and Language · Computer Science 2024-10-03 Da Ren , Yi Cai , Qing Li

A variety of modeling frameworks have been proposed and utilized in complex systems studies, including dynamical systems models that describe state transitions on a system of fixed topology, and self-organizing network models that describe…

Adaptation and Self-Organizing Systems · Physics 2009-01-05 Hiroki Sayama , Craig Laramee

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

Non-autoregressive (NAR) neural machine translation is usually done via knowledge distillation from an autoregressive (AR) model. Under this framework, we leverage large monolingual corpora to improve the NAR model's performance, with the…

Computation and Language · Computer Science 2020-12-01 Jiawei Zhou , Phillip Keung