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We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to…

Methodology · Statistics 2024-10-15 Riccardo Corradin , Luca Danese , Wasiur R. KhudaBukhsh , Andrea Ongaro

The proposed method in this paper is designed to address the problem of time series forecasting. Although some exquisitely designed models achieve excellent prediction performances, how to extract more useful information and make accurate…

Artificial Intelligence · Computer Science 2023-02-01 Yuanpeng He

Epidemiological models contain a set of parameters that must be adjusted based on available observations. Once a model has been calibrated, it can be used as a forecasting tool to make predictions and to evaluate contingency plans. It is…

A well-established insight in mortality forecasting is that combining predictions from a set of models improves accuracy compared to relying on a single best model. This paper proposes a novel ensemble approach based on Shapley values, a…

Applications · Statistics 2026-03-05 G. Bimonte , M. Russolillo , Y. Yang , H. L. Shang

Data pooling offers various advantages, such as increasing the sample size, improving generalization, reducing sampling bias, and addressing data sparsity and quality, but it is not straightforward and may even be counterproductive.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-09 Stefan Becker , Jens Bayer , Ronny Hug , Wolfgang Hübner , Michael Arens

In this paper it is reconsidered the prediction problem in time series framework by using a new non-parametric approach. Through this reconsideration, the prediction is obtained by a weighted sum of past observed data. These weights are…

Machine Learning · Statistics 2021-01-27 Pedro Cadahía , Jose Manuel Bravo Caro

Statistical modeling is a key component in the extraction of physical results from lattice field theory calculations. Although the general models used are often strongly motivated by physics, many model variations can frequently be…

Methodology · Statistics 2021-06-10 William I. Jay , Ethan T. Neil

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

Applications · Statistics 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

Nowadays model uncertainty has become one of the most important problems in both academia and industry. In this paper, we mainly consider the scenario in which we have a common model set used for model averaging instead of selecting a…

Machine Learning · Computer Science 2023-01-26 Yimin Huang , Weiran Huang , Liang Li , Zhenguo Li

While time series prediction is an important, actively studied problem, the predictive accuracy of time series models is complicated by non-stationarity. We develop a fast and effective approach to allow for non-stationarity in the…

Applications · Statistics 2015-12-10 Daniel M. McCarthy , Shane T. Jensen

Despite strong performance in many sequence-to-sequence tasks, autoregressive models trained with maximum likelihood estimation suffer from exposure bias, i.e. the discrepancy between the ground-truth prefixes used during training and the…

Computation and Language · Computer Science 2023-01-11 Michalis Korakakis , Andreas Vlachos

Ensemble methods combine the predictions of multiple models to improve performance, but they require significantly higher computation costs at inference time. To avoid these costs, multiple neural networks can be combined into one by…

Machine Learning · Computer Science 2024-05-07 Alexia Jolicoeur-Martineau , Emy Gervais , Kilian Fatras , Yan Zhang , Simon Lacoste-Julien

Population annealing is a powerful sequential Monte Carlo algorithm designed to study the equilibrium behavior of general systems in statistical physics through massive parallelism. In addition to the remarkable scaling capabilities of the…

Statistical Mechanics · Physics 2022-10-19 Paul L. Ebert , Denis Gessert , Martin Weigel

Weather and climate forecasts are inherently uncertain due to chaotic dynamics, imperfect initial conditions, and incomplete representation of the underlying physical processes. Operational ensemble forecasts aim to represent these…

Machine Learning · Computer Science 2026-05-26 Birgit Kühbacher , Daan Crommelin , Niki Kilbertus

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

The performance of deep neural networks is enhanced by ensemble methods, which average the output of several models. However, this comes at an increased cost at inference. Weight averaging methods aim at balancing the generalization of…

Machine Learning · Computer Science 2024-05-29 Louis Fournier , Adel Nabli , Masih Aminbeidokhti , Marco Pedersoli , Eugene Belilovsky , Edouard Oyallon

We consider the problem of estimating high-dimensional covariance matrices of $K$-populations or classes in the setting where the sample sizes are comparable to the data dimension. We propose estimating each class covariance matrix as a…

Methodology · Statistics 2022-02-08 Elias Raninen , David E. Tyler , Esa Ollila

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

Methodology · Statistics 2013-12-30 Allou Samé , Faicel Chamroukhi , Gérard Govaert , Patrice Aknin

In this paper we present a family of algorithms that can simultaneously align and cluster sets of multidimensional curves measured on a discrete time grid. Our approach is based on a generative mixture model that allows non-linear time…

Applications · Statistics 2012-12-12 Darya Chudova , Scott Gaffney , Padhraic Smyth