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Due to their accuracies, methods based on ensembles of regression trees are a popular approach for making predictions. Some common examples include Bayesian additive regression trees, boosting and random forests. This paper focuses on…

Methodology · Statistics 2019-11-15 Suofei Wu , Jan Hannig , Thomas C. M. Lee

In this paper we present a data-adaptive estimation procedure for estimation of average treatment effects in a time-to-event setting based on generalized random forests. In these kinds of settings, the definition of causal effect parameters…

Methodology · Statistics 2021-04-28 Helene C. W. Rytgaard , Claus T. Ekstrøm , Lars V. Kessing , Thomas A. Gerds

We consider conducting inference on the output of the Classification and Regression Tree (CART) [Breiman et al., 1984] algorithm. A naive approach to inference that does not account for the fact that the tree was estimated from the data…

Methodology · Statistics 2022-10-19 Anna C. Neufeld , Lucy L. Gao , Daniela M. Witten

There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Data-driven anomaly detection methods typically build a model for the normal behavior of the target system, and score each data instance with respect to this model. A threshold is invariably needed to identify data instances with high (or…

Machine Learning · Statistics 2019-10-09 Sreelekha Guggilam , S. M. Arshad Zaidi , Varun Chandola , Abani Patra

Pricing actuaries typically operate within the framework of generalized linear models (GLMs). With the upswing of data analytics, our study puts focus on machine learning methods to develop full tariff plans built from both the frequency…

Applications · Statistics 2020-03-04 Roel Henckaerts , Marie-Pier Côté , Katrien Antonio , Roel Verbelen

Random survival forest and survival trees are popular models in statistics and machine learning. However, there is a lack of general understanding regarding consistency, splitting rules and influence of the censoring mechanism. In this…

Statistics Theory · Mathematics 2019-02-05 Yifan Cui , Ruoqing Zhu , Mai Zhou , Michael Kosorok

Random forests have become an established tool for classification and regression, in particular in high-dimensional settings and in the presence of complex predictor-response relationships. For bounded outcome variables restricted to the…

Methodology · Statistics 2019-01-21 Leonie Weinhold , Matthias Schmid , Marvin N. Wright , Moritz Berger

Tree ensemble models such as random forests and boosted trees are among the most widely used and practically successful predictive models in applied machine learning and business analytics. Although such models have been used to make…

Optimization and Control · Mathematics 2019-10-11 Velibor V. Mišić

Estimation of tail quantities, such as expected shortfall or Value at Risk, is a difficult problem. We show how the theory of nonlinear expectations, in particular the Data-robust expectation introduced in [5], can assist in the…

Statistics Theory · Mathematics 2018-02-15 Samuel N. Cohen

The univariate generalized extreme value (GEV) distribution is the most commonly used tool for analyzing the properties of rare events. The ever greater utilization of Bayesian methods for extreme value analysis warrants detailed…

Statistics Theory · Mathematics 2023-07-03 Likun Zhang , Benjamin A. Shaby

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

Methodology · Statistics 2012-03-13 B. D. Youngman

Regression methods for interval-valued data have been increasingly studied in recent years. As most of the existing works focus on linear models, it is important to note that many problems in practice are nonlinear in nature and therefore…

Methodology · Statistics 2022-01-11 Chih-Ching Yeh , Yan Sun , Adele Cutler

A coupling method is developed for univariate extreme value theory , providing an alternative to the use of the tail empirical/quantile processes. Emphasizing the Peak-over-Threshold approach that approximates the distribution above high…

Statistics Theory · Mathematics 2019-12-09 Benjamin Bobbia , Clément Dombry , Davit Varron

Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

Methodology · Statistics 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

In classification and forecasting with tabular data, one often utilizes tree-based models. Those can be competitive with deep neural networks on tabular data and, under some conditions, explainable. The explainability depends on the depth…

Machine Learning · Computer Science 2024-06-05 Jiri Nemecek , Tomas Pevny , Jakub Marecek

We address unsupervised discontinuous constituency parsing, where we observe a high variance in the performance of the only previous model in the literature. We propose to build an ensemble of different runs of the existing discontinuous…

Computation and Language · Computer Science 2024-11-07 Behzad Shayegh , Yuqiao Wen , Lili Mou

Extreme value theory provides an asymptotically justified framework for estimation of exceedance probabilities in regions where few or no observations are available. For multivariate tail estimation, the strength of extremal dependence is…

Probability · Mathematics 2017-02-06 Sebastian Engelke , Jevgenijs Ivanovs

Spatial modelling of extreme values allows studying the risk of joint occurrence of extreme events at different locations and is of significant interest in climatic and other environmental sciences. A popular class of dependence models for…

Methodology · Statistics 2026-02-11 Lorenzo Dell'Oro , Carlo Gaetan , Thomas Opitz

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

Machine Learning · Computer Science 2023-10-12 Jincheng Wang , Yue Gao
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