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This paper applies conformal prediction techniques to compute simultaneous prediction bands and clustering trees for functional data. These tools can be used to detect outliers and clusters. Both our prediction bands and clustering trees…

Machine Learning · Statistics 2013-02-27 Jing Lei , Alessandro Rinaldo , Larry Wasserman

Conjoint experiments have become central to survey research in political science and related fields because they allow researchers to study preferences across multiple attributes simultaneously. Beyond estimating main effects, scholars…

Methodology · Statistics 2025-10-03 Steven Wang , Isys Johnson , Jessica Grogan , Lalit Jain , Atri Rudra , Kyle Hunt , Kenneth Joseph

In the past several years a wide range of methods for the construction of regression trees and other estimators based on the recursive partitioning of samples have appeared in the statistics literature. Many applications involve data…

Methodology · Statistics 2014-07-07 Daniell Toth , John Eltinge

Uncovering the heterogeneous effects of particular policies or "treatments" is a key concern for researchers and policymakers. A common approach is to report average treatment effects across subgroups based on observable covariates.…

Econometrics · Economics 2025-10-02 Riccardo Di Francesco

Assume we are given a set of items from a general metric space, but we neither have access to the representation of the data nor to the distances between data points. Instead, suppose that we can actively choose a triplet of items (A,B,C)…

Machine Learning · Statistics 2018-06-19 Siavash Haghiri , Damien Garreau , Ulrike von Luxburg

Tree-based machine learning models such as random forests, decision trees, and gradient boosted trees are the most popular non-linear predictive models used in practice today, yet comparatively little attention has been paid to explaining…

Tree ensembles are non-parametric methods widely recognized for their accuracy and ability to capture complex interactions. While these models excel at prediction, they are difficult to interpret and may fail to uncover useful relationships…

Machine Learning · Statistics 2026-04-01 Brian Liu , Rahul Mazumder , Peter Radchenko

Randomized controlled trials play an important role in how Internet companies predict the impact of policy decisions and product changes. In these `digital experiments', different units (people, devices, products) respond differently to the…

Applications · Statistics 2015-12-21 Matt Taddy , Matt Gardner , Liyun Chen , David Draper

Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be…

Machine Learning · Computer Science 2025-10-15 Hayden McTavish , Zachery Boner , Jon Donnelly , Margo Seltzer , Cynthia Rudin

We address a classical problem in statistics: adding two-way interaction terms to a regression model. As the covariate dimension increases quadratically, we develop an estimator that adapts well to this increase, while providing accurate…

Methodology · Statistics 2023-09-26 Mark A. van de Wiel , Matteo Amestoy , Jeroen Hoogland

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

Methodology · Statistics 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

In domains where transparency and trustworthiness are crucial, such as healthcare, rule-based systems are widely used and often preferred over black-box models for decision support systems due to their inherent interpretability. However, as…

Machine Learning · Computer Science 2025-06-18 Christel Sirocchi , Damiano Verda

Retrieving cohesive subgraphs in networks is a fundamental problem in social network analysis and graph data management. These subgraphs can be used for marketing strategies or recommendation systems. Despite the introduction of numerous…

Social and Information Networks · Computer Science 2025-07-16 Dahee Kim , Song Kim , Jeongseon Kim , Junghoon Kim , Kaiyu Feng , Sungsu Lim , Jungeun Kim

Drafting strong players is crucial for the team success. We describe a new data-driven interpretable approach for assessing draft prospects in the National Hockey League. Successful previous approaches have built a predictive model based on…

Machine Learning · Computer Science 2018-02-27 Oliver Schulte , Yejia Liu , Chao Li

Combining machine learning with econometric analysis is becoming increasingly prevalent in both research and practice. A common empirical strategy involves the application of predictive modeling techniques to 'mine' variables of interest…

Econometrics · Economics 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius

Ensembles of decision trees are a useful tool for obtaining for obtaining flexible estimates of regression functions. Examples of these methods include gradient boosted decision trees, random forests, and Bayesian CART. Two potential…

Methodology · Statistics 2018-09-18 Antonio Ricardo Linero , Yun Yang

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

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

With the rise of online eTextbooks and Massive Open Online Courses (MOOCs), a huge amount of data has been collected related to students' learning. With the careful analysis of this data, educators can gain useful insights into the…

Computers and Society · Computer Science 2022-03-09 Ahmed Abd Elrahman , Taysir Hassan A Soliman , Ahmed I. Taloba , Mohammed F. Farghally

This paper proposes a regression tree procedure to estimate conditional copulas. The associated algorithm determines classes of observations based on covariate values and fits a simple parametric copula model on each class. The association…

Statistics Theory · Mathematics 2024-03-20 Francesco Bonacina , Olivier Lopez , Maud Thomas
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