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Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Accurate medium-range precipitation forecasting is crucial for hydrometeorological risk management and disaster mitigation, yet remains challenging for current numerical weather prediction (NWP) systems. Traditional ensemble systems such as…

Atmospheric and Oceanic Physics · Physics 2025-10-24 Tianyi Xiong , Haonan Chen

We study distributional robustness in the context of Extreme Value Theory (EVT). We provide a data-driven method for estimating extreme quantiles in a manner that is robust against incorrect model assumptions underlying the application of…

Statistics Theory · Mathematics 2020-06-09 Jose Blanchet , Fei He , Karthyek R. A. Murthy

Time series models often deal with extreme events and anomalies, both prevalent in real-world datasets. Such models often need to provide careful probabilistic forecasting, which is vital in risk management for extreme events such as…

Machine Learning · Statistics 2022-08-23 Ashkan Farhangi , Jiang Bian , Arthur Huang , Haoyi Xiong , Jun Wang , Zhishan Guo

Inference over tails is usually performed by fitting an appropriate limiting distribution over observations that exceed a fixed threshold. However, the choice of such threshold is critical and can affect the inferential results. Extreme…

Statistical Finance · Quantitative Finance 2019-02-26 Chiara Lattanzi , Manuele Leonelli

Atmospheric Extreme Events (EEs) cause severe damages to human societies and ecosystems. The frequency and intensity of EEs and other associated events are increasing in the current climate change and global warming risk. The accurate…

Extreme events are of great importance since they often represent impactive occurrences. For instance, in terms of climate and weather, extreme events might be major storms, floods, extreme heat or cold waves, and more. However, they are…

Machine Learning · Computer Science 2024-09-24 Jimeng Shi , Azam Shirali , Giri Narasimhan

Time series forecasting is vital in diverse sectors such as energy and transportation, where non-stationary dynamics are deeply intertwined with external events in other modalities such as texts. However, incorporating natural…

Machine Learning · Computer Science 2026-05-12 Yunfeng Ge , Ming Jin , Yiji Zhao , Hongyan Li , Bo Du , Chang Xu , Shirui Pan

In this paper, we provide finite sample results to assess the consistency of Generalized Pareto regression trees, as tools to perform extreme value regression. The results that we provide are obtained from concentration inequalities, and…

Statistics Theory · Mathematics 2021-12-21 Sébastien Farkas , Antoine Heranval , Olivier Lopez , Maud Thomas

The non-stationary nature of real-world Multivariate Time Series (MTS) data presents forecasting models with a formidable challenge of the time-variant distribution of time series, referred to as distribution shift. Existing studies on the…

Machine Learning · Computer Science 2024-07-19 Hui He , Qi Zhang , Kun Yi , Xiaojun Xue , Shoujin Wang , Liang Hu , Longbing Cao

In this paper, we are concerned with a branch of evolutionary algorithms termed estimation of distribution (EDA), which has been successfully used to tackle derivative-free global optimization problems. For existent EDA algorithms, it is a…

Neural and Evolutionary Computing · Computer Science 2016-11-29 Bin Liu , Shi Cheng , Yuhui Shi

Time series forecasting (TSF) is an essential branch of machine learning with various applications. Most methods for TSF focus on constructing different networks to extract better information and improve performance. However, practical…

Machine Learning · Computer Science 2025-02-19 Yanru Sun , Zongxia Xie , Haoyu Xing , Hualong Yu , Qinghua Hu

Forecasting time series with extreme events is critical yet challenging due to their high variance, irregular dynamics, and sparse but high-impact nature. While existing methods excel in modeling dominant regular patterns, their performance…

Machine Learning · Computer Science 2026-01-14 Yaohui Huang , Runmin Zou , Yun Wang , Laeeq Aslam , Ruipeng Dong

Significant advancements in the development of machine learning (ML) models for weather forecasting have produced remarkable results. State-of-the-art ML-based weather forecast models, such as FuXi, have demonstrated superior statistical…

Machine Learning · Computer Science 2023-11-01 Xiaohui Zhong , Lei Chen , Jun Liu , Chensen Lin , Yuan Qi , Hao Li

We develop a deep convolutional neural network (DCNN) based framework for model-free prediction of the occurrence of extreme events both in time ("when") and in space ("where") in nonlinear physical systems of spatial dimension two. The…

Machine Learning · Computer Science 2022-04-01 Junjie Jiang , Zi-Gang Huang , Celso Grebogi , Ying-Cheng Lai

This article summarises the methods used by the team ``Ca' Foscari" for the EVA 2025 Data Challenge. The questions of the challenge concern the estimation of exceedance probabilities across several locations. Rather than modelling the…

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

Methodology · Statistics 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

Time series forecasting models are increasingly scaled through large Transformer backbones, yet most existing approaches process all series through a shared dense computation path despite substantial heterogeneity in temporal structure.…

Machine Learning · Computer Science 2026-05-26 Rui Wang , Renhao Xue , Ray Razi , Huan Song , Hannah R. Marlowe

To address the complexity of financial time series, this paper proposes a forecasting model combining sliding window and variational mode decomposition (VMD) methods. Historical stock prices and relevant market indicators are used to…

Machine Learning · Computer Science 2025-08-22 Luke Li

Physical systems whose dynamics are governed by partial differential equations (PDEs) find applications in numerous fields, from engineering design to weather forecasting. The process of obtaining the solution from such PDEs may be…

Machine Learning · Computer Science 2022-09-21 Pratyush Bhatt , Yash Kumar , Azzeddine Soulaimani