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We propose a novel neural network architecture that enables non-parametric calibration and generation of multivariate extreme value distributions (MEVs). MEVs arise from Extreme Value Theory (EVT) as the necessary class of models when…

Machine Learning · Statistics 2022-03-03 Ali Hasan , Khalil Elkhalil , Yuting Ng , Joao M. Pereira , Sina Farsiu , Jose H. Blanchet , Vahid Tarokh

Extreme value analysis for time series is often based on the block maxima method, in particular for environmental applications. In the classical univariate case, the latter is based on fitting an extreme-value distribution to the sample of…

Statistics Theory · Mathematics 2026-04-20 Axel Bücher , Erik Haufs

Real-world time series are often governed by complex nonlinear dynamics. Understanding these underlying dynamics is crucial for precise future prediction. While deep learning has achieved major success in time series forecasting, many…

Machine Learning · Computer Science 2026-05-26 Abrar Majeedi , Viswanatha Reddy Gajjala , Satya Sai Srinath Namburi GNVV , Nada Magdi Elkordi , Yin Li

We present a deep learning approach for vertex reconstruction of neutrino-nucleus interaction events, a problem in the domain of high energy physics. In this approach, we combine both energy and timing data that are collected in the MINERvA…

Machine Learning · Computer Science 2019-02-05 Linghao Song , Fan Chen , Steven R. Young , Catherine D. Schuman , Gabriel Perdue , Thomas E. Potok

Heatwaves, prolonged periods of extreme heat, have intensified in frequency and severity due to climate change, posing substantial risks to public health, ecosystems, and infrastructure. Despite advancements in Machine Learning (ML)…

AI Safety is a major concern in many deep learning applications such as autonomous driving. Given a trained deep learning model, an important natural problem is how to reliably verify the model's prediction. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Tong Che , Xiaofeng Liu , Site Li , Yubin Ge , Ruixiang Zhang , Caiming Xiong , Yoshua Bengio

The robotic systems continuously interact with complex dynamical systems in the physical world. Reliable predictions of spatiotemporal evolution of these dynamical systems, with limited knowledge of system dynamics, are crucial for…

Artificial Intelligence · Computer Science 2019-01-08 Yun Long , Xueyuan She , Saibal Mukhopadhyay

Deep Learning is applied to energy markets to predict extreme loads observed in energy grids. Forecasting energy loads and prices is challenging due to sharp peaks and troughs that arise due to supply and demand fluctuations from intraday…

Machine Learning · Statistics 2019-04-11 Michael Polson , Vadim Sokolov

Stress analysis of heterogeneous media, like composite materials, using Finite Element Analysis (FEA) has become commonplace in design and analysis. However, determining stress distributions in heterogeneous media using FEA can be…

Applied Physics · Physics 2021-04-22 Haotian Feng , Pavana Prabhakar

Data augmentation with generative adversarial networks (GANs) has been popular for class imbalance problems, mainly for pattern classification and computer vision-related applications. Extreme value forecasting is a challenging field that…

Machine Learning · Computer Science 2025-10-06 Junru Hua , Rahul Ahluwalia , Rohitash Chandra

Graph Neural Networks (GNN) have gained significant traction in the forecasting domain, especially for their capacity to simultaneously account for intra-series temporal correlations and inter-series relationships. This paper introduces a…

Machine Learning · Computer Science 2024-05-30 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

The study of geometric extremes, where extremal dependence properties are inferred from the deterministic limiting shapes of scaled sample clouds, provides an exciting approach to modelling the extremes of multivariate data. These shapes,…

Methodology · Statistics 2024-09-16 Callum J. R. Murphy-Barltrop , Reetam Majumder , Jordan Richards

Deep neural networks (NN) are extensively used for machine learning tasks such as image classification, perception and control of autonomous systems. Increasingly, these deep NNs are also been deployed in high-assurance applications. Thus,…

Machine Learning · Computer Science 2017-09-27 Souradeep Dutta , Susmit Jha , Sriram Sanakaranarayanan , Ashish Tiwari

We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

Deep Neural Networks (DNNs) have become increasingly popular in computer vision, natural language processing, and other areas. However, training and fine-tuning a deep learning model is computationally intensive and time-consuming. We…

Machine Learning · Computer Science 2018-07-04 Jiayi Liu , Samarth Tripathi , Unmesh Kurup , Mohak Shah

Forecasting severe weather conditions is still a very challenging and computationally expensive task due to the enormous amount of data and the complexity of the underlying physics. Machine learning approaches and especially deep learning…

Machine Learning · Computer Science 2019-12-09 Christian Schön , Jens Dittrich

The application of large deep learning models in weather forecasting has led to significant advancements in the field, including higher-resolution forecasting and extended prediction periods exemplified by models such as Pangu and Fuxi.…

Machine Learning · Computer Science 2025-02-19 Nian Ran , Peng Xiao , Yue Wang , Wesley Shi , Jianxin Lin , Qi Meng , Richard Allmendinger

To predict rare extreme events using deep neural networks, one encounters the so-called small data problem because even long-term observations often contain few extreme events. Here, we investigate a model-assisted framework where the…

Machine Learning · Computer Science 2022-04-20 Anna Asch , Ethan Brady , Hugo Gallardo , John Hood , Bryan Chu , Mohammad Farazmand

Deep neural networks (DNNs) form the cornerstone of modern AI services, supporting a wide range of applications, including autonomous driving, chatbots, and recommendation systems. As models increase in size and complexity, DNN workloads…

Machine Learning · Computer Science 2025-11-14 Xiaokai Wang , Shaoyuan Huang , Yuting Li , Xiaofei Wang

Accurate load forecasting plays a vital role in numerous sectors, but accurately capturing the complex dynamics of dynamic power systems remains a challenge for traditional statistical models. For these reasons, time-series models (ARIMA)…

Neural and Evolutionary Computing · Computer Science 2024-02-06 Anuvab Sen , Arul Rhik Mazumder , Udayon Sen