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Modern language models address complex questions through chain-of-thought (CoT) reasoning (Wei et al., 2023) and retrieval augmentation (Lewis et al., 2021), yet struggle with error propagation and knowledge integration. Tree-structured…

Artificial Intelligence · Computer Science 2025-09-29 Ahmed Bahloul , Simon Malberg

Regression trees are becoming increasingly popular as omnibus predicting tools and as the basis of numerous modern statistical learning ensembles. Part of their popularity is their ability to create a regression prediction without ever…

Machine Learning · Statistics 2016-06-17 Will Ruth , Thomas Loughin

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

Machine Learning · Computer Science 2021-01-22 Jinxiong Zhang

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

Machine Learning · Statistics 2015-03-31 Ravi Ganti , Rebecca M. Willett

A simple method for adding uncertainty to neural network regression tasks via estimation of a general probability distribution is described. The methodology supports estimation of heteroscedastic, asymmetric uncertainties by a simple…

Atmospheric and Oceanic Physics · Physics 2021-09-16 Elizabeth A. Barnes , Randal J. Barnes , Nicolas Gordillo

We present Collaborative Trees, a novel tree model designed for regression prediction, along with its bagging version, which aims to analyze complex statistical associations between features and uncover potential patterns inherent in the…

Methodology · Statistics 2024-05-21 Chien-Ming Chi

We apply split conformal prediction techniques to regression problems with circular responses by introducing a suitable conformity score, leading to prediction sets with adaptive arc length and finite-sample coverage guarantees for any…

Machine Learning · Statistics 2024-12-30 Paulo C. Marques F. , Rinaldo Artes , Helton Graziadei

Multiple matrix sampling is a survey methodology technique that randomly chooses a relatively small subset of items to be presented to survey respondents for the purpose of reducing respondent burden. The data produced are missing…

Methodology · Statistics 2017-10-03 Stanislav Kolenikov , Heather Hammer

We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore

We propose a novel regression adjustment method designed for estimating distributional treatment effect parameters in randomized experiments. Randomized experiments have been extensively used to estimate treatment effects in various…

Econometrics · Economics 2024-07-24 Undral Byambadalai , Tatsushi Oka , Shota Yasui

A central theme in the field of survey statistics is estimating population-level quantities through data coming from potentially non-representative samples of the population. Multilevel Regression and Poststratification (MRP), a model-based…

Methodology · Statistics 2020-07-17 Yuxiang Gao , Lauren Kennedy , Daniel Simpson , Andrew Gelman

Few problems in statistics are as perplexing as variable selection in the presence of very many redundant covariates. The variable selection problem is most familiar in parametric environments such as the linear model or additive variants…

Methodology · Statistics 2021-02-25 Yi Liu , Veronika Ročková , Yuexi Wang

Survival analysis of right censored data arises often in many areas of research including medical research. Effect of covariates (and their interactions) on survival distribution can be studied through existing methods which requires to…

Methodology · Statistics 2021-08-11 Madan Gopal Kundu , Samiran Ghosh

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

Machine Learning · Statistics 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

Regression trees are one of the oldest forms of AI models, and their predictions can be made without a calculator, which makes them broadly useful, particularly for high-stakes applications. Within the large literature on regression trees,…

Machine Learning · Computer Science 2023-04-11 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

One of the common challenges faced by researchers in recent data analysis is missing values. In the context of penalized linear regression, which has been extensively explored over several decades, missing values introduce bias and yield a…

Methodology · Statistics 2025-04-21 Seongoh Park , Seongjin Lee , Nguyen Thi Hai Yen , Nguyen Phuoc Long , Johan Lim

This paper tackles the problem of constructing a non-parametric predictor when the latent variables are given with incomplete information. The convenient predictor for this task is the random forest algorithm in conjunction to the so-called…

Statistics Theory · Mathematics 2023-09-01 Irving Gómez-Méndez , Emilien Joly

Covariate-adaptive randomization is widely used in clinical trials to balance prognostic factors, and regression adjustments are often adopted to further enhance the estimation and inference efficiency. In practice, the covariates may…

Methodology · Statistics 2025-08-15 Wanjia Fu , Yingying Ma , Hanzhong Liu

The missing data issue is ubiquitous in health studies. Variable selection in the presence of both missing covariates and outcomes is an important statistical research topic but has been less studied. Existing literature focuses on…

Methodology · Statistics 2021-07-09 Liangyuan Hu , Jung-Yi Joyce Lin , Jiayi Ji

The inclusion of the propensity score as a covariate in Bayesian regression trees for causal inference can reduce the bias in treatment effect estimations, which occurs due to the regularization-induced confounding phenomenon. This study…

Methodology · Statistics 2018-08-30 Pedro Henrique Filipini dos Santos , Hedibert Freitas Lopes