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Missing data is a common problem in time series data. Most methods for imputation ignore label information pertaining to the time series even if that information exists. In this paper, we provide a framework for missing data imputation in…

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

Econometrics · Economics 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the…

Machine Learning · Statistics 2018-06-29 Ruofeng Wen , Kari Torkkola , Balakrishnan Narayanaswamy , Dhruv Madeka

We introduce a new methodology to conduct simultaneous inference of the nonparametric component in partially linear time series regression models where the nonparametric part is a multivariate unknown function. In particular, we construct a…

Methodology · Statistics 2023-09-06 Jiaqi Li , Likai Chen , Kun Ho Kim , Tianwei Zhou

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are…

Statistics Theory · Mathematics 2015-03-19 Yingcun Xia , Howell Tong

The multivariate time series generated from merchant transaction history can provide critical insights for payment processing companies. The capability of predicting merchants' future is crucial for fraud detection and recommendation…

Machine Learning · Computer Science 2021-09-22 Chin-Chia Michael Yeh , Zhongfang Zhuang , Wei Zhang , Liang Wang

We propose a conformal prediction method for constructing tight simultaneous prediction intervals for multiple, potentially related, numerical outputs given a single input. This method can be combined with any multi-target regression model…

Methodology · Statistics 2025-12-18 Yunjie Fan , Matteo Sesia

We consider the task of forecasting an infinite sequence of future observations based on some number of past observations, where the probability measure generating the observations is "suspected" to satisfy one or more of a set of…

Machine Learning · Computer Science 2019-05-17 Vanessa Kosoy

Missing time-series data is a prevalent problem in many prescriptive analytics models in operations management, healthcare and finance. Imputation methods for time-series data are usually applied to the full panel data with the purpose of…

Methodology · Statistics 2023-04-13 Jose Blanchet , Fernando Hernandez , Viet Anh Nguyen , Markus Pelger , Xuhui Zhang

Missing value imputation is an important practical problem. There is a large body of work on it, but there does not exist any work that formulates the problem in a structured output setting. Also, most applications have constraints on the…

Machine Learning · Computer Science 2013-11-12 Rahul Kidambi , Vinod Nair , Sundararajan Sellamanickam , S. Sathiya Keerthi

This paper develops an inferential theory for high-dimensional matrix-variate factor models with missing observations. We propose an easy-to-use all-purpose method that involves two straightforward steps. First, we perform principal…

Methodology · Statistics 2025-03-26 Yongxia Zhang , Jinwen Liang , Liwen Xu , Keming Yu , Maozai Tian

Missing data represents a fundamental challenge in machine learning applications, often reducing model performance and reliability. This problem is particularly acute in fields like bioinformatics and clinical machine learning, where…

Machine Learning · Computer Science 2025-09-04 Fatemeh Azad , Zoran Bosnić , Matjaž Kukar

An increasing body of research focuses on using neural networks to model time series. A common assumption in training neural networks via maximum likelihood estimation on time series is that the errors across time steps are uncorrelated.…

Machine Learning · Computer Science 2021-10-12 Fan-Keng Sun , Christopher I. Lang , Duane S. Boning

In many applications it is desirable to infer coarse-grained models from observational data. The observed process often corresponds only to a few selected degrees of freedom of a high-dimensional dynamical system with multiple time scales.…

Statistics Theory · Mathematics 2015-05-06 Serafim Kalliadasis , Sebastian Krumscheid , Grigorios A. Pavliotis

Iterative imputation is a popular tool to accommodate missing data. While it is widely accepted that valid inferences can be obtained with this technique, these inferences all rely on algorithmic convergence. There is no consensus on how to…

Computation · Statistics 2021-10-25 Hanne Ida Oberman , Stef van Buuren , Gerko Vink

Time series forecasting aims to model temporal dependencies among variables for future state inference, holding significant importance and widespread applications in real-world scenarios. Although deep learning-based methods have achieved…

Machine Learning · Computer Science 2026-05-21 Zesen Wang , Lijuan Lan , Yonggang Li

Deep learning methods are powerful tools in classifying multivariate time series data. Despite their high performance, these methods are hard to interpret, which diminishes their applications in high-risk domains such as healthcare. In this…

Machine Learning · Computer Science 2026-05-11 Bhavesh Kalisetti , Vincent Wang , Gaurav R. Ghosal , Maryam Bijanzadeh , Reza Abbasi-Asl

Multivariate time series are ubiquitous objects in signal processing. Measuring a distance or similarity between two such objects is of prime interest in a variety of applications, including machine learning, but can be very difficult as…

Machine Learning · Statistics 2022-11-02 Titouan Vayer , Romain Tavenard , Laetitia Chapel , Nicolas Courty , Rémi Flamary , Yann Soullard

Time series forecasting has applications across domains and industries, especially in healthcare, but the technical expertise required to analyze data, build models, and interpret results can be a barrier to using these techniques. This…

Machine Learning · Computer Science 2025-12-10 Aaron D. Mullen , Daniel R. Harris , Svetla Slavova , V. K. Cody Bumgardner
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