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Multivariate time series data in practical applications, such as health care, geoscience, and biology, are characterized by a variety of missing values. In time series prediction and other related tasks, it has been noted that missing…

Machine Learning · Computer Science 2016-11-08 Zhengping Che , Sanjay Purushotham , Kyunghyun Cho , David Sontag , Yan Liu

Time series anomaly detection plays a critical role in automated monitoring systems. Most previous deep learning efforts related to time series anomaly detection were based on recurrent neural networks (RNN). In this paper, we propose a…

Machine Learning · Computer Science 2019-06-03 Tailai Wen , Roy Keyes

The essence of multivariate sequential learning is all about how to extract dependencies in data. These data sets, such as hourly medical records in intensive care units and multi-frequency phonetic time series, often time exhibit not only…

Machine Learning · Computer Science 2021-01-01 Yaquan Zhang , Qi Wu , Nanbo Peng , Min Dai , Jing Zhang , Hu Wang

Most of the existing multi-relational network embedding methods, e.g., TransE, are formulated to preserve pair-wise connectivity structures in the networks. With the observations that significant triangular connectivity structures and…

Social and Information Networks · Computer Science 2018-06-11 Xin Li , Huiting Hong , Lin Liu , William K. Cheung

Non-autoregressive (NAR) modeling has gained significant interest in speech processing since these models achieve dramatically lower inference time than autoregressive (AR) models while also achieving good transcription accuracy. Since NAR…

Computation and Language · Computer Science 2024-02-21 Siddhant Arora , George Saon , Shinji Watanabe , Brian Kingsbury

High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

Methodology · Statistics 2026-05-04 Peiliang Bai

Generative modeling offers a promising solution to data scarcity and privacy challenges in time series analysis. However, the structural complexity of time series, characterized by multi-scale temporal patterns and heterogeneous components,…

Machine Learning · Computer Science 2026-01-19 Xiangyu Xu , Qingsong Zhong , Jilin Hu

This study presents a novel model for invertible sentence embeddings using a residual recurrent network trained on an unsupervised encoding task. Rather than the probabilistic outputs common to neural machine translation models, our…

Computation and Language · Computer Science 2023-04-07 Jeremy Wilkerson

While the Vector Autoregression (VAR) model has received extensive attention for modelling complex time series, quantile VAR analysis remains relatively underexplored for high-dimensional time series data. To address this disparity, we…

Methodology · Statistics 2024-04-30 Wenyang Liu , Ganggang Xu , Jianqing Fan , Xuening Zhu

Modeling multivariate time series has long been a subject that has attracted researchers from a diverse range of fields including economics, finance, and traffic. A basic assumption behind multivariate time series forecasting is that its…

Machine Learning · Computer Science 2020-05-26 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Xiaojun Chang , Chengqi Zhang

We present a new multilevel minimization framework for the training of deep residual networks (ResNets), which has the potential to significantly reduce training time and effort. Our framework is based on the dynamical system's viewpoint,…

Machine Learning · Computer Science 2020-04-15 Lisa Gaedke-Merzhäuser , Alena Kopaničáková , Rolf Krause

Missing data is a ubiquitous challenge in data analysis, often leading to biased and inaccurate results. Traditional imputation methods usually assume that the missingness mechanism is missing-at-random (MAR), where the missingness is…

Methodology · Statistics 2026-03-30 Huiming Xie , Fei Xue , Xiao Wang

High-dimensional time series data appear in many scientific areas in the current data-rich environment. Analysis of such data poses new challenges to data analysts because of not only the complicated dynamic dependence between the series,…

Methodology · Statistics 2022-06-22 Di Wang , Ruey S. Tsay

Over the long history of machine learning, which dates back several decades, recurrent neural networks (RNNs) have been used mainly for sequential data and time series and generally with 1D information. Even in some rare studies on 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Nguyen Huu Phong , Bernardete Ribeiro

We propose a new deep recurrent neural network (RNN) architecture for sequential signal reconstruction. Our network is designed by unfolding the iterations of the proximal gradient method that solves the l1-l1 minimization problem. As such,…

Machine Learning · Computer Science 2019-02-19 Hung Duy Le , Huynh Van Luong , Nikos Deligiannis

In this paper, we introduce ProNet, an novel deep learning approach designed for multi-horizon time series forecasting, adaptively blending autoregressive (AR) and non-autoregressive (NAR) strategies. Our method involves dividing the…

Machine Learning · Computer Science 2024-08-13 Yang Lin

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

A regularized artificial neural network (RANN) is proposed for interval-valued data prediction. The ANN model is selected due to its powerful capability in fitting linear and nonlinear functions. To meet mathematical coherence requirement…

Computation · Statistics 2018-08-22 Zebin Yang , Dennis K. J. Lin , Aijun Zhang

Neural processes (NPs) learn stochastic processes and predict the distribution of target output adaptively conditioned on a context set of observed input-output pairs. Furthermore, Attentive Neural Process (ANP) improved the prediction…

Machine Learning · Computer Science 2019-10-22 Shenghao Qin , Jiacheng Zhu , Jimmy Qin , Wenshuo Wang , Ding Zhao

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
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