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Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

机器学习 · 统计学 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

统计方法学 · 统计学 2018-05-22 Feng Li , Yanfei Kang

We introduce a copula mixture model to perform dependency-seeking clustering when co-occurring samples from different data sources are available. The model takes advantage of the great flexibility offered by the copulas framework to extend…

统计方法学 · 统计学 2012-07-03 Melanie Rey , Volker Roth

We introduce a novel forecasting model for crop yields that explicitly accounts for spatio-temporal dependence and the influence of extreme weather and climatic events. Our approach combines Bayesian Structural Time Series for modeling…

统计方法学 · 统计学 2025-04-01 Marie Michaelides , Mélina Mailhot , Yongkun Li

Signals coming from multivariate higher order conditional moments as well as the information contained in exogenous covariates, can be effectively exploited by rational investors to allocate their wealth among different risky investment…

投资组合管理 · 定量金融 2016-01-21 Mauro Bernardi , Leopoldo Catania

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

统计金融 · 定量金融 2023-05-16 Jia Xu , Longbing Cao

Recently, diffusion probabilistic models (DPMs) have achieved promising results in diverse generative tasks. A typical DPM framework includes a forward process that gradually diffuses the data distribution and a reverse process that…

机器学习 · 计算机科学 2023-10-31 Tianyu Pang , Cheng Lu , Chao Du , Min Lin , Shuicheng Yan , Zhijie Deng

Extreme events over large spatial domains may exhibit highly heterogeneous tail dependence characteristics, yet most existing spatial extremes models yield only one dependence class over the entire spatial domain. To accurately characterize…

统计方法学 · 统计学 2025-11-14 Muyang Shi , Likun Zhang , Mark D. Risser , Benjamin A. Shaby

The role of cryptocurrencies within the financial systems has been expanding rapidly in recent years among investors and institutions. It is therefore crucial to investigate the phenomena and develop statistical methods able to capture…

应用统计 · 统计学 2024-10-22 Beatrice Foroni , Luca Merlo , Lea Petrella

Regular vine distributions which constitute a flexible class of multivariate dependence models are discussed. Since multivariate copulae constructed through pair-copula decompositions were introduced to the statistical community, interest…

统计方法学 · 统计学 2012-11-26 Jeffrey Dissmann , Eike Christian Brechmann , Claudia Czado , Dorota Kurowicka

The study of dependence between random variables is the core of theoretical and applied statistics. Static and dynamic copula models are useful for describing the dependence structure, which is fully encrypted in the copula probability…

统计方法学 · 统计学 2018-03-20 Dominque Guégan , Matteo Iacopini

Predicting the occurrence of tail events is of great importance in financial risk management. By employing the method of peak-over-threshold (POT) to identify the financial extremes, we perform a recurrence interval analysis (RIA) on these…

风险管理 · 定量金融 2020-04-09 Wei-Zhen Li , Jin-Rui Zhai , Zhi-Qiang Jiang , Gang-Jin Wang , Wei-Xing Zhou

Copulas are popular as models for multivariate dependence because they allow the marginal densities and the joint dependence to be modeled separately. However, they usually require that the transformation from uniform marginals to the…

统计方法学 · 统计学 2013-06-14 Minh-Ngoc Tran , Paolo Giordani , Xiuyan Mun , Robert Kohn , Mike Pitt

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

统计方法学 · 统计学 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

Extreme weather events are becoming more common, with severe storms, floods, and prolonged precipitation affecting communities worldwide. These shifts in climate patterns pose a direct threat to the insurance industry, which faces growing…

应用统计 · 统计学 2026-01-21 Asim K. Dey

This paper considers the problem of measuring the credit risk in portfolios of loans, bonds, and other instruments subject to possible default under multi-factor models. Due to the amount of the portfolio, the heterogeneous effect of…

计算金融 · 定量金融 2019-04-10 Cheng-Der Fuh , Chuan-Ju Wang

Deep neural network (DNN) regression models are widely used in applications requiring state-of-the-art predictive accuracy. However, until recently there has been little work on accurate uncertainty quantification for predictions from such…

统计方法学 · 统计学 2020-09-07 Nadja Klein , David J. Nott , Michael Stanley Smith

Misperceptions about extreme dependencies between different financial assets have been an im- portant element of the recent financial crisis. This paper studies inhomogeneity in dependence structures using Markov switching regular vine…

统计方法学 · 统计学 2012-02-10 Jakob Stoeber , Claudia Czado

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

统计方法学 · 统计学 2022-08-22 Thomas Nagler , Thibault Vatter

Diffusion models offer stable training and state-of-the-art performance for deep generative modeling tasks. Here, we consider their use in the context of multivariate subsurface modeling and probabilistic inversion. We first demonstrate…

计算机视觉与模式识别 · 计算机科学 2026-01-28 Roberto Miele , Niklas Linde