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This paper proposes the automatic Doubly Robust Random Forest (DRRF) algorithm for estimating the conditional expectation of a moment functional in the presence of high-dimensional nuisance functions. DRRF extends the automatic debiasing…

Methodology · Statistics 2025-06-10 Zhaomeng Chen , Junting Duan , Victor Chernozhukov , Vasilis Syrgkanis

A weighted random survival forest is presented in the paper. It can be regarded as a modification of the random forest improving its performance. The main idea underlying the proposed model is to replace the standard procedure of averaging…

We introduce an exact distributed algorithm to train Random Forest models as well as other decision forest models without relying on approximating best split search. We explain the proposed algorithm and compare it to related approaches for…

Machine Learning · Computer Science 2018-04-19 Mathieu Guillame-Bert , Olivier Teytaud

Researchers often hold the belief that random forests are "the cure to the world's ills" (Bickel, 2010). But how exactly do they achieve this? Focused on the recently introduced causal forests (Athey and Imbens, 2016; Wager and Athey,…

Statistics Theory · Mathematics 2023-12-27 Yiyi Huo , Yingying Fan , Fang Han

This paper considers extensions of minimum-disparity estimators to the problem of estimating parameters in a regression model that is conditionally specified; that is where a parametric model describes the distribution of a response $y$…

Statistics Theory · Mathematics 2016-02-10 Giles Hooker

Out-of-bag error is commonly used as an estimate of generalisation error in ensemble-based learning models such as random forests. We present confidence intervals for this quantity using the delta-method-after-bootstrap and the…

Methodology · Statistics 2022-01-28 Samyak Rajanala , Stephen Bates , Trevor Hastie , Robert Tibshirani

Model-assisted, two-stage forest survey sampling designs provide a means to combine airborne remote sensing data, collected in a sampling mode, with field plot data to increase the precision of national forest inventory estimates, while…

Applications · Statistics 2024-02-20 Hans-Erik Andersen , Göran Ståhl , Bruce D. Cook , Douglas C. Morton , Andrew O. Finley

We propose a novel algorithm for optimizing multivariate linear threshold functions as split functions of decision trees to create improved Random Forest classifiers. Standard tree induction methods resort to sampling and exhaustive search…

Machine Learning · Computer Science 2015-06-26 Mohammad Norouzi , Maxwell D. Collins , David J. Fleet , Pushmeet Kohli

Algorithms for jointly obtaining projection estimates of the density and distribution function of a random variable using Legendre polynomials are proposed. For these algorithms, a problem of the conditional optimization is solved. Such…

Computation · Statistics 2025-07-29 Tatyana A. Averina , Konstantin A. Rybakov

Learning high-dimensional distributions is a significant challenge in machine learning and statistics. Classical research has mostly concentrated on asymptotic analysis of such data under suitable assumptions. While existing works…

Machine Learning · Computer Science 2024-11-19 Sutanu Gayen , Sanket Kale , Sayantan Sen

Systematic sampling is often used to select plot locations for forest inventory estimation. However, it is not possible to derive a design-unbiased variance estimator for a systematic sample using one random start. As a result, many forest…

Applications · Statistics 2018-10-22 Chad Babcock , Andrew O. Finley , Timothy G. Gregoire , Hans-Erik Andersen

The consistency of a bootstrap or resampling scheme is classically validated by weak convergence of conditional laws. However, when working with stochastic processes in the space of bounded functions and their weak convergence in the…

Statistics Theory · Mathematics 2018-03-05 Axel Bücher , Ivan Kojadinovic

The wild bootstrap is a popular resampling method in the context of time-to-event data analyses. Previous works established the large sample properties of it for applications to different estimators and test statistics. It can be used to…

Methodology · Statistics 2023-10-27 Marina T. Dietrich , Dennis Dobler , Mathisca C. M. de Gunst

There is a growing interest in the so-called Bayesian Predictive Inference approach, which allows to perform Bayesian inference without specifying the likelihood and prior of the model, or the need of any MCMC. Instead, only a sequence of…

Statistics Theory · Mathematics 2025-09-30 Marco Battiston , Lorenzo Cappello

Simulation of forest environments has applications from entertainment and art creation to commercial and scientific modelling. Due to the unique features and lighting in forests, a forest-specific simulator is desirable, however many…

Graphics · Computer Science 2022-08-03 Callum Newlands , Klaus-Peter Zauner

Fitting parametric models by optimizing frequency domain objective functions is an attractive approach of parameter estimation in time series analysis. Whittle estimators are a prominent example in this context. Under weak conditions and…

Statistics Theory · Mathematics 2021-07-26 Jens-Peter Kreiss , Efstathios Paparoditis

The focus of this paper is on the quantification of sampling variation in frequentist probabilistic forecasts. We propose a method of constructing confidence sets that respects the functional nature of the forecast distribution, and use…

Methodology · Statistics 2017-08-09 David Harris , Gael M. Martin , Indeewara Perera , D. S. Poskitt

Random forests have become popular for clinical risk prediction modelling. In a case study on predicting ovarian malignancy, we observed training c-statistics close to 1. Although this suggests overfitting, performance was competitive on…

Randomized experiments are the gold standard for estimating treatment effects, and randomization serves as a reasoned basis for inference. In widely used stratified randomized experiments, randomization-based finite-population asymptotic…

Statistics Theory · Mathematics 2026-05-20 Haoyang Yu , Ke Zhu , Hanzhong Liu

The R package DynForest implements random forests for predicting a continuous, a categorical or a (multiple causes) time-to-event outcome based on time-fixed and time-dependent predictors. The main originality of DynForest is that it…

Machine Learning · Statistics 2024-04-12 Anthony Devaux , Cécile Proust-Lima , Robin Genuer
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