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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

Time series forecasting presents significant challenges due to the complex temporal dependencies at multiple time scales. This paper introduces ScatterFusion, a novel framework that synergistically integrates scattering transforms with…

Machine Learning · Computer Science 2026-01-29 Wei Li

This article explores a novel approach to time series forecasting applied to the context of Chennai's climate data. Our methodology comprises two distinct established time series models, leveraging their strengths in handling seasonality…

Applications · Statistics 2025-07-11 Tanmay Kayal , Abhishek Das , U Saranya

Time Series Forecasting has made significant progress with the help of Patching technique, which partitions time series into multiple patches to effectively retain contextual semantic information into a representation space beneficial for…

Machine Learning · Computer Science 2025-12-17 Xingjian Wu , Xiangfei Qiu , Hanyin Cheng , Zhengyu Li , Jilin Hu , Chenjuan Guo , Bin Yang

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

Methodology · Statistics 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have…

Machine Learning · Computer Science 2018-05-09 Jaideep Pathak , Alexander Wikner , Rebeckah Fussell , Sarthak Chandra , Brian Hunt , Michelle Girvan , Edward Ott

We investigate ensembling techniques in forecasting and examine their potential for use in nonseasonal time-series similar to those in the early days of the COVID-19 pandemic. Developing improved forecast methods is essential as they…

Machine Learning · Computer Science 2022-01-04 Pieter Cawood , Terence L. van Zyl

An influential step in weather forecasting was the introduction of ensemble forecasts in operational use due to their capability to account for the uncertainties in the future state of the atmosphere. However, ensemble weather forecasts are…

Applications · Statistics 2023-05-25 Mária Lakatos , Sebastian Lerch , Stephan Hemri , Sándor Baran

Seasonal time series Forecasting remains a challenging problem due to the long-term dependency from seasonality. In this paper, we propose a two-stage framework to forecast univariate seasonal time series. The first stage explicitly learns…

Machine Learning · Computer Science 2021-06-08 Qingyang Xu , Qingsong Wen , Liang Sun

Time series forecasting models are becoming increasingly prevalent due to their critical role in decision-making across various domains. However, most existing approaches represent the coupled temporal patterns, often neglecting the…

Machine Learning · Computer Science 2025-09-26 Jintao Zhang , Mingyue Cheng , Xiaoyu Tao , Zhiding Liu , Daoyu Wang

Time series forecasting is essential for operational intelligence in the hospitality industry, and particularly challenging in large-scale, distributed systems. This study evaluates the performance of statistical, machine learning (ML),…

Machine Learning · Computer Science 2025-02-06 Issar Arab , Rodrigo Benitez

Many theories have emerged which investigate how in- variance is generated in hierarchical networks through sim- ple schemes such as max and mean pooling. The restriction to max/mean pooling in theoretical and empirical studies has diverted…

Machine Learning · Computer Science 2017-02-27 Dipan K. Pal , Vishnu Boddeti , Marios Savvides

Statistical postprocessing is routinely applied to correct systematic errors of numerical weather prediction models (NWP) and to automatically produce calibrated local forecasts for end-users. Postprocessing is particularly relevant in…

Time series (TS) data are ubiquitous across various application areas, rendering time series forecasting (TSF) a fundamental task. With the astounding advances in large language models (LLMs), a variety of methods have been developed to…

Artificial Intelligence · Computer Science 2025-08-25 Zhuomin Chen , Dan Li , Jiahui Zhou , Shunyu Wu , Haozheng Ye , Jian Lou , See-Kiong Ng

The decline in interest rates and economic stabilization has heightened the importance of accurate mortality rate forecasting, particularly in insurance and pension markets. Multi-step-ahead predictions are crucial for public health,…

Machine Learning · Computer Science 2025-09-29 Filipe C. L. Duarte , Paulo S. G. de Mattos Neto , Paulo R. A. Firmino

The field of time series forecasting is rapidly advancing, with recent large-scale Transformers and lightweight Multilayer Perceptron (MLP) models showing strong predictive performance. However, conventional Transformer models are often…

Machine Learning · Computer Science 2025-08-13 Zheng Zhou , Yu-Jie Xiong , Jia-Chen Zhang , Chun-Ming Xia , Xi-Jiong Xie

Urban rail transit provides significant comprehensive benefits such as large traffic volume and high speed, serving as one of the most important components of urban traffic construction management and congestion solution. Using real…

Machine Learning · Computer Science 2023-05-05 Yiming Hu , Yangchuan Huang , Shuying Liu , Yuanyang Qi , Danhui Bai

Forecast reconciliation has become a prominent topic in recent forecasting literature, with a primary distinction made between cross-sectional and temporal hierarchies. This work focuses on temporal hierarchies, such as aggregating monthly…

Methodology · Statistics 2024-09-27 Lukas Neubauer , Peter Filzmoser

Relationships among time series can be exploited as inductive biases in learning effective forecasting models. In hierarchical time series, relationships among subsets of sequences induce hard constraints (hierarchical inductive biases) on…

Machine Learning · Computer Science 2024-08-22 Andrea Cini , Danilo Mandic , Cesare Alippi

Time series forecasting is crucial for various applications, such as weather, traffic, electricity, and energy predictions. Currently, common time series forecasting methods are based on Transformers. However, existing approaches primarily…

Machine Learning · Computer Science 2025-09-30 Zixu Wang , Hongbin Dong , Xiaoping Zhang
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