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Time series forecasting has attracted significant attention, leading to the de-velopment of a wide range of approaches, from traditional statistical meth-ods to advanced deep learning models. Among them, the Auto-Regressive Integrated…

机器学习 · 计算机科学 2025-05-28 Thanh Son Nguyen , Van Thanh Nguyen , Dang Minh Duc Nguyen

In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of…

统计方法学 · 统计学 2020-07-20 M. Gomtsyan , C. Lévy-Leduc , S. Ouadah , L. Sansonnet

Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

动力系统 · 数学 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

Nonstationarity of real-life time series requires model adaptation. In classical approaches like ARMA-ARCH there is assumed some arbitrarily chosen dependence type. To avoid their bias, we will focus on novel more agnostic approach: moving…

统计方法学 · 统计学 2025-06-09 Jarek Duda

Change-point processes are one flexible approach to model long time series. We propose a method to uncover which model parameter truly vary when a change-point is detected. Given a set of breakpoints, we use a penalized likelihood approach…

计量经济学 · 经济学 2024-02-09 Arnaud Dufays , Aristide Houndetoungan , Alain Coën

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

统计计算 · 统计学 2020-07-01 Marius Appel , Edzer Pebesma

In this paper, we develop new multiscale methods to test qualitative hypotheses about the regression function m in a nonparametric regression model with fixed design points and time series errors. In time series applications, m represents a…

统计理论 · 数学 2019-03-05 Marina Khismatullina , Michael Vogt

The spatio-temporal autoregressive moving average (STARMA) model is frequently used in several studies of multivariate time series data, where the assumption of stationarity is important, but it is not always guaranteed in practice. One way…

统计方法学 · 统计学 2023-04-14 Yangyang Chen , Pedro Alberto Morettin , Chang Chiann

Multivariate Analysis (MVA) comprises a family of well-known methods for feature extraction that exploit correlations among input variables of the data representation. One important property that is enjoyed by most such methods is…

机器学习 · 统计学 2016-09-21 Sergio Muñoz-Romero , Vanessa Gómez-Verdejo , Jerónimo Arenas-García

We study statistical model checking of continuous-time stochastic hybrid systems. The challenge in applying statistical model checking to these systems is that one cannot simulate such systems exactly. We employ the multilevel Monte Carlo…

系统与控制 · 计算机科学 2017-06-27 Sadegh Esmaeil Zadeh Soudjani , Rupak Majumdar , Tigran Nagapetyan

In the gravitational-wave analysis of pulsar-timing-array datasets, parameter estimation is usually performed using Markov Chain Monte Carlo methods to explore posterior probability densities. We introduce an alternative procedure that…

广义相对论与量子宇宙学 · 物理学 2024-05-16 Michele Vallisneri , Marco Crisostomi , Aaron D. Johnson , Patrick M. Meyers

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

应用统计 · 统计学 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

We introduce a multivariate hidden Markov model to jointly cluster time-series observations with different support, i.e. circular and linear. Relying on the general projected normal distribution, our approach allows for bimodal and/or…

应用统计 · 统计学 2015-01-27 Gianluca Mastrantonio , Antonello Maruotti , Giovanna Jona Lasinio

We develop a generalization of correlated trend-cycle decompositions that avoids prior assumptions about the long-run dynamic characteristics by modelling the permanent component as a fractionally integrated process and incorporating a…

计量经济学 · 经济学 2020-05-26 Tobias Hartl , Rolf Tschernig , Enzo Weber

We consider the problem of aggregating models learned from sequestered, possibly heterogeneous datasets. Exploiting tools from Bayesian nonparametrics, we develop a general meta-modeling framework that learns shared global latent structures…

Community detection has been an active research area for decades. Among all probabilistic models, Stochastic Block Model has been the most popular one. This paper introduces a novel probabilistic model: RW-HDP, based on random walks and…

应用统计 · 统计学 2016-08-04 Ruimin Zhu , Wenxin Jiang

Achieving resilient and high-quality manufacturing requires reliable data-driven anomaly detection methods that are capable of addressing differences in behaviors among different individual machines which are nominally the same and are…

机器学习 · 计算机科学 2026-04-08 Yangmeng Li , Kei Sano , Toshihiro Kitao , Ryoji Anzaki , Yukiya Saitoh , Hironori Moki , Dragan Djurdjanovic

A hybrid model for biomedical time series comprising a continuous second-order linear time-invariant system driven by an input sequence of positively weighted Dirac delta-functions is considered. The problem of the joint estimation of the…

系统与控制 · 电气工程与系统科学 2022-07-05 Håkan Runvik , Alexander Medvedev

With the ever-increasing availability of data, there has been an explosion of interest in applying modern machine learning methods to fields such as modeling and control. However, despite the flexibility and surprising accuracy of such…

机器学习 · 计算机科学 2023-02-13 Haakon Robinson , Erlend Lundby , Adil Rasheed , Jan Tommy Gravdahl

Hand kinematics can be measured in Human-Computer Interaction (HCI) with the intention to predict the user's intention in a reach-to-grasp action. Using multiple hand sensors, multivariate time series data are being captured. Given a number…

机器学习 · 计算机科学 2025-02-10 Reyhaneh Sabbagh Gol , Dimitar Valkov , Lars Linsen