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In this paper we propose a recursive online algorithm for estimating the parameters of a time-varying ARCH process. The estimation is done by updating the estimator at time point $t-1$ with observations about the time point $t$ to yield an…

Statistics Theory · Mathematics 2009-09-29 Rainer Dahlhaus , Suhasini Subba Rao

Multivariate time series alignment is critical for ensuring coherent analysis across variables, but missing values and timestamp inconsistencies make this task highly challenging. Existing approaches often rely on prior imputation, which…

Databases · Computer Science 2025-12-23 Ding Jia , Jingyu Zhu , Yu Sun , Aoqian Zhang , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

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

Generalized autoregressive score (GAS) models are a class of observation-driven time series models that employ the score to dynamically update time-varying parameters of the underlying probability distribution. GAS models have been…

Computation · Statistics 2024-05-09 Vladimír Holý

This study is the first to analyze the performance of a time-series foundation AI model for Value-at-Risk (VaR), which essentially forecasts the left-tail quantiles of returns. Foundation models, pre-trained on diverse datasets, can be…

Risk Management · Quantitative Finance 2025-05-13 Anubha Goel , Puneet Pasricha , Juho Kanniainen

Estimating the unknown causal dependencies among graph-connected time series plays an important role in many applications, such as sensor network analysis, signal processing over cyber-physical systems, and finance engineering. Inference of…

Signal Processing · Electrical Eng. & Systems 2021-04-02 Rohan Money , Joshin Krishnan , Baltasar Beferull-Lozano

Probabilistic forecasting, i.e. estimating the probability distribution of a time series' future given its past, is a key enabler for optimizing business processes. In retail businesses, for example, forecasting demand is crucial for having…

Artificial Intelligence · Computer Science 2019-02-25 David Salinas , Valentin Flunkert , Jan Gasthaus

Data-driven methods that detect anomalies in times series data are ubiquitous in practice, but they are in general unable to provide helpful explanations for the predictions they make. In this work we propose a model-agnostic algorithm that…

Evaluating the contribution of individual data points to a model's prediction is critical for interpreting model predictions and improving model performance. Existing data contribution methods have been applied to various data types,…

Machine Learning · Computer Science 2025-06-17 Yizi Zhang , Jingyan Shen , Xiaoxue Xiong , Yongchan Kwon

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

Methodology · Statistics 2024-02-27 Yao Zheng

Feature-based time series representations have attracted substantial attention in a wide range of time series analysis methods. Recently, the use of time series features for forecast model averaging has been an emerging research focus in…

Machine Learning · Statistics 2020-07-21 Xixi Li , Yanfei Kang , Feng Li

Handling missing data in time series classification remains a significant challenge in various domains. Traditional methods often rely on imputation, which may introduce bias or fail to capture the underlying temporal dynamics. In this…

Machine Learning · Computer Science 2026-04-03 YongKyung Oh , Dong-Young Lim , Sungil Kim , Alex Bui

High-dimensional multivariate time series are challenging due to the dependent and high-dimensional nature of the data, but in many applications there is additional structure that can be exploited to reduce computing time along with…

Methodology · Statistics 2020-03-13 Michael Schweinberger , Sergii Babkin , Katherine Ensor

Streaming models are an essential component of real-time speech enhancement tools. The streaming regime constrains speech enhancement models to use only a tiny context of future information. As a result, the low-latency streaming setup is…

Sound · Computer Science 2023-12-06 Pavel Andreev , Nicholas Babaev , Azat Saginbaev , Ivan Shchekotov , Aibek Alanov

The classical vector autoregressive model is a fundamental tool for multivariate time series analysis. However, it involves too many parameters when the number of time series and lag order are even moderately large. This paper proposes to…

Methodology · Statistics 2020-11-04 Di Wang , Yao Zheng , Heng Lian , Guodong Li

This study introduces a framework for quality control of measured weather data, including anomaly detection, and infilling missing values. Weather data is a fundamental input to building performance simulations, in which anomalous values…

Machine Learning · Statistics 2020-11-20 Maryam MeshkinKiya , Riccardo Paolini

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

In this paper we present the practical benefits of a new random forest algorithm to deal withmissing values in the sample. The purpose of this work is to compare the different solutionsto deal with missing values with random forests and…

Statistics Theory · Mathematics 2021-10-19 Irving Gómez-Méndez , Emilien Joly

In many applications, data are observed as matrices with temporal dependence. Matrix-variate time series modeling is a new branch of econometrics. Although stylized facts in several fields, the existing models do not account for regime…

Methodology · Statistics 2022-12-19 Andrea Bucci

Electronic health records (EHR) consist of longitudinal clinical observations portrayed with sparsity, irregularity, and high-dimensionality, which become major obstacles in drawing reliable downstream clinical outcomes. Although there…

Machine Learning · Computer Science 2020-11-17 Ahmad Wisnu Mulyadi , Eunji Jun , Heung-Il Suk