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Survival analysis is a statistical framework for modeling time-to-event data. It plays a pivotal role in medicine, reliability engineering, and social science research, where understanding event dynamics even with few data samples is…

机器学习 · 计算机科学 2026-02-03 Alberto Archetti , Eugenio Lomurno , Diego Piccinotti , Matteo Matteucci

Binomial trees are widely used in the financial sector for valuing securities with early exercise characteristics, such as American stock options. However, while effective in many scenarios, pricing options with CRR binomial trees are…

计算金融 · 定量金融 2024-05-28 Yury Lebedev , Arunava Banerjee

In many applications of supervised learning, multiple classification or regression outputs have to be predicted jointly. We consider several extensions of gradient boosting to address such problems. We first propose a straightforward…

机器学习 · 统计学 2019-05-21 Arnaud Joly , Louis Wehenkel , Pierre Geurts

Gradient tree boosting is a prediction algorithm that sequentially produces a model in the form of linear combinations of decision trees, by solving an infinite-dimensional optimization problem. We combine gradient boosting and Nesterov's…

机器学习 · 统计学 2018-03-07 Gérard Biau , Benoît Cadre , Laurent Rouvìère

For many practical, high-risk applications, it is essential to quantify uncertainty in a model's predictions to avoid costly mistakes. While predictive uncertainty is widely studied for neural networks, the topic seems to be under-explored…

机器学习 · 计算机科学 2021-04-05 Andrey Malinin , Liudmila Prokhorenkova , Aleksei Ustimenko

When dealing with right-censored data, where some outcomes are missing due to a limited observation period, survival analysis -- known as time-to-event analysis -- focuses on predicting the time until an event of interest occurs. Multiple…

This paper proposes a new class of predictive models for survival analysis called Generalized Bayesian Ensemble Survival Tree (GBEST). It is well known that survival analysis poses many different challenges, in particular when applied to…

统计方法学 · 统计学 2025-03-18 Elena Ballante , Pietro Muliere , Silvia Figini

The gradient boosting machine is a powerful ensemble-based machine learning method for solving regression problems. However, one of the difficulties of its using is a possible discontinuity of the regression function, which arises when…

机器学习 · 计算机科学 2020-06-22 Andrei V. Konstantinov , Lev V. Utkin

Gradient Boosted Decision Trees (GBDT) is a very successful ensemble learning algorithm widely used across a variety of applications. Recently, several variants of GBDT training algorithms and implementations have been designed and heavily…

机器学习 · 计算机科学 2019-06-27 Yu Shi , Jian Li , Zhize Li

Traditional decision tree models, which rely exclusively on numerical variables, often face challenges in handling high-dimensional data and are limited in their ability to incorporate textual information effectively. To address these…

机器学习 · 计算机科学 2026-01-13 Lu Han , Xiuying Wang

Gradient boosting of regression trees is a competitive procedure for learning predictive models of continuous data that fits the data with an additive non-parametric model. The classic version of gradient boosting assumes that the data is…

机器学习 · 计算机科学 2016-07-04 Iman Alodah , Jennifer Neville

Gradient boosting methods based on Structured Categorical Decision Trees (SCDT) have been demonstrated to outperform numerical and one-hot-encodings on problems where the categorical variable has a known underlying structure. However, the…

机器学习 · 统计学 2020-07-10 Brian Lucena

Survival regression is used to estimate the relation between time-to-event and feature variables, and is important in application domains such as medicine, marketing, risk management and sales management. Nonlinear tree based machine…

机器学习 · 计算机科学 2021-08-24 Avinash Barnwal , Hyunsu Cho , Toby Dylan Hocking

Decision trees are popular in survival analysis for their interpretability and ability to model complex relationships. Survival trees, which predict the timing of singular events using censored historical data, are typically built through…

机器学习 · 计算机科学 2025-11-24 Antonio Consolo , Edoardo Amaldi , Emilio Carrizosa

Given functional data from a survival process with time-dependent covariates, we derive a smooth convex representation for its nonparametric log-likelihood functional and obtain its functional gradient. From this, we devise a generic…

机器学习 · 统计学 2021-10-07 Donald K. K. Lee , Ningyuan Chen , Hemant Ishwaran

Additive models, such as produced by gradient boosting, and full interaction models, such as classification and regression trees (CART), are widely used algorithms that have been investigated largely in isolation. We show that these models…

In this paper, we introduce a new machine learning (ML) model for nonlinear regression called the Boosted Smooth Transition Regression Trees (BooST), which is a combination of boosting algorithms with smooth transition regression trees. The…

机器学习 · 统计学 2021-04-08 Yuri Fonseca , Marcelo Medeiros , Gabriel Vasconcelos , Alvaro Veiga

Gradient boosted trees are competition-winning, general-purpose, non-parametric regressors, which exploit sequential model fitting and gradient descent to minimize a specific loss function. The most popular implementations are tailored to…

机器学习 · 计算机科学 2022-08-23 Lorenzo Nespoli , Vasco Medici

Gradient boosting is a sequential ensemble method that fits a new weaker learner to pseudo residuals at each iteration. We propose Wasserstein gradient boosting, a novel extension of gradient boosting that fits a new weak learner to…

统计方法学 · 统计学 2024-08-30 Takuo Matsubara

As an adaptive, interpretable, robust, and accurate meta-algorithm for arbitrary differentiable loss functions, gradient tree boosting is one of the most popular machine learning techniques, though the computational expensiveness severely…

机器学习 · 计算机科学 2019-11-21 Daniel Chao Zhou , Zhongming Jin , Tong Zhang
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