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Two ubiquitous aspects of large-scale data analysis are that the data often have heavy-tailed properties and that diffusion-based or spectral-based methods are often used to identify and extract structure of interest. Perhaps surprisingly,…

Machine Learning · Computer Science 2010-05-11 Michael W. Mahoney , Hariharan Narayanan

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

Methodology · Statistics 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

The covXtreme software provides functionality for estimation of marginal and conditional extreme value models, non-stationary with respect to covariates, and environmental design contours. Generalised Pareto (GP) marginal models of peaks…

Methodology · Statistics 2024-04-26 Ross Towe , Emma Ross , David Randell , Philip Jonathan

The Gaussian process (GP) is a powerful tool for nonparametric modeling, but its sensitivity to outliers limits its applicability to data distributions with heavy-tails. Studentt processes offer a robust alternative for heavy tail modeling,…

Machine Learning · Computer Science 2026-03-11 Jian Xu , Delu Zeng , John Paisley

This paper addresses the problem of dense depth predictions from sparse distance sensor data and a single camera image on challenging weather conditions. This work explores the significance of different sensor modalities such as camera,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-18 Sadique Adnan Siddiqui , Axel Vierling , Karsten Berns

We investigate the estimation of multivariate extreme models with a discrete spectral measure using spherical clustering techniques. The primary contribution involves devising a method for selecting the order, that is, the number of…

Methodology · Statistics 2025-02-20 Shiyuan Deng , He Tang , Shuyang Bai

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

In Hezaveh et al. 2017 we showed that deep learning can be used for model parameter estimation and trained convolutional neural networks to determine the parameters of strong gravitational lensing systems. Here we demonstrate a method for…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-29 Laurence Perreault Levasseur , Yashar D. Hezaveh , Risa H. Wechsler

Problem definition: Data-driven models in machine learning have enabled efficient management of production systems. However, a majority of machine learning models are devoted to modeling the mean response or average pattern, which is…

Applications · Statistics 2026-04-27 Cheolhei Lee , Xing Wang , Xiaowei Yue , Jianguo Wu

We develop a novel method based on machine learning principles to achieve optimal initiation of CPU-intensive computations for forward asteroseismic modeling in a multi-D parameter space. A deep neural network is trained on a precomputed…

Solar and Stellar Astrophysics · Physics 2019-08-29 Luc Hendriks , Conny Aerts

We use the Pareto Joint Inversion, together with the Particle Swarm Optimization, to invert the Love and quasi-Rayleigh surface-wave speeds, obtained from dispersion curves, in order to infer the elasticity parameters, mass densities and…

We introduce deep learning models to estimate the masses of the binary components of black hole mergers, $(m_1,m_2)$, and three astrophysical properties of the post-merger compact remnant, namely, the final spin, $a_f$, and the frequency…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Hongyu Shen , E. A. Huerta , Eamonn O'Shea , Prayush Kumar , Zhizhen Zhao

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

The behavior of extreme observations is well-understood for time series or spatial data, but little is known if the data generating process is a structural causal model (SCM). We study the behavior of extremes in this model class, both for…

Methodology · Statistics 2025-03-11 Sebastian Engelke , Nicola Gnecco , Frank Röttger

We develop a new method for multivariate scalar on multidimensional distribution regression. Traditional approaches typically analyze isolated univariate scalar outcomes or consider unidimensional distributional representations as…

Methodology · Statistics 2023-10-17 Rahul Ghosal , Marcos Matabuena

Hindcast or wave reanalysis databases (WRDB) constitute a powerful source with respect to instrumental records in the design of offshore and coastal structures, since they offer important advantages for the statistical characterization of…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Roberto Minguez , Antonio Tomas , Fernando J. Mendez , Raul Medina

The conditional extremes (CE) framework has proven useful for analysing the joint tail behaviour of random vectors. However, when applied across many locations or variables, it can be difficult to interpret or compare the resulting extremal…

Methodology · Statistics 2025-10-24 Patrick O'Toole , Christian Rohrbeck , Jordan Richards

Dense depth estimation plays a key role in multiple applications such as robotics, 3D reconstruction, and augmented reality. While sparse signal, e.g., LiDAR and Radar, has been leveraged as guidance for enhancing dense depth estimation,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Yu-Kai Huang , Yueh-Cheng Liu , Tsung-Han Wu , Hung-Ting Su , Yu-Cheng Chang , Tsung-Lin Tsou , Yu-An Wang , Winston H. Hsu

Panel data arise in a wide range of application areas, and developing modelling methods for extreme values under such a setup is essential for reliable risk assessment and management. When choosing to model the marginal distributions of…

Methodology · Statistics 2025-09-19 Zefan Liu , Natalia Nolde

We propose a novel extremal dependence measure called the partial tail-correlation coefficient (PTCC), in analogy to the partial correlation coefficient in classical multivariate analysis. The construction of our new coefficient is based on…

Methodology · Statistics 2022-11-23 Yan Gong , Peng Zhong , Thomas Opitz , Raphaël Huser