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We introduce a unified framework for random forest prediction error estimation based on a novel estimator of the conditional prediction error distribution function. Our framework enables simple plug-in estimation of key prediction…

Machine Learning · Statistics 2021-03-04 Benjamin Lu , Johanna Hardin

Modeling incompatible spatial data, i.e., data with different spatial resolutions, is a pervasive challenge in remote sensing data analysis. Typical approaches to addressing this challenge aggregate information to a common coarse…

Methodology · Statistics 2024-08-19 Lu Zhang , Andrew O. Finley , Arne Nothdurft , Sudipto Banerjee

Random forests are one of the most popular machine learning methods due to their accuracy and variable importance assessment. However, random forests only provide variable importance in a global sense. There is an increasing need for such…

Methodology · Statistics 2021-03-25 Joshua Daniel Loyal , Ruoqing Zhu , Yifan Cui , Xin Zhang

Environmental data may be "large" due to number of records, number of covariates, or both. Random forests has a reputation for good predictive performance when using many covariates with nonlinear relationships, whereas spatial regression,…

Applications · Statistics 2018-12-27 Eric W. Fox , Jay M. Ver Hoef , Anthony R. Olsen

In areal unit data with missing or suppressed data, it desirable to create models that are able to predict observations that are not available. Traditional statistical methods achieve this through Bayesian hierarchical models that can…

Methodology · Statistics 2023-12-20 Cara MacBride , Vinny Davies , Duncan Lee

Background: Mathematical models based on ordinary differential equations (ODEs) are essential tools across various scientific disciplines, including biology, ecology, and healthcare informatics. They are used to simulate complex dynamic…

Quantitative Methods · Quantitative Biology 2025-09-03 Hamed Karami , Amanda Bleichrodt , Ruiyan Luo , Gerardo Chowell

The cycle of scientific discovery is frequently bottlenecked by the slow, manual creation of software to support computational experiments\cite{hannay2009how}. To address this, we present Empirical Research Assistance (ERA), an AI system…

Recent methods for long-tailed instance segmentation still struggle on rare object classes with few training data. We propose a simple yet effective method, Feature Augmentation and Sampling Adaptation (FASA), that addresses the data…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Yuhang Zang , Chen Huang , Chen Change Loy

We propose a novel methodology, forest floor, to visualize and interpret random forest (RF) models. RF is a popular and useful tool for non-linear multi-variate classification and regression, which yields a good trade-off between robustness…

Machine Learning · Statistics 2016-07-05 Soeren H. Welling , Hanne H. F. Refsgaard , Per B. Brockhoff , Line H. Clemmensen

High-dimensional Bayesian inverse analysis (dim >> 100) is mostly unfeasible for computationally demanding, nonlinear physics-based high-fidelity (HF) models. Usually, the use of more efficient gradient-based inference schemes is impeded if…

Computational Engineering, Finance, and Science · Computer Science 2025-09-22 Jonas Nitzler , Bugrahan Z. Temür , Phaedon-Stelios Koutsourelakis , Wolfgang A. Wall

The United States national forest inventory (NFI) serves as the foundation for forest aboveground biomass (AGB) and carbon accounting across the nation. These data enable design-based estimates of forest carbon stocks and stock-changes at…

Applications · Statistics 2024-05-09 Lucas K. Johnson , Michael J. Mahoney , Grant Domke , Colin M. Beier

Functional data analysis (FDA) is a statistical framework that allows for the analysis of curves, images, or functions on higher dimensional domains. The goals of FDA, such as descriptive analyses, classification, and regression, are…

Methodology · Statistics 2023-12-12 Jan Gertheiss , David Rügamer , Bernard X. W. Liew , Sonja Greven

Modeling the diameter distribution of trees in forest stands is a common forestry task that supports key biologically and economically relevant management decisions. The choice of model used to represent the diameter distribution and how to…

Applications · Statistics 2019-11-26 Mahdi Teimouri , Jeffrey W. Doser , Andrew O. Finley

Random Forest (RF) is a well-known data-driven algorithm applied in several fields thanks to its flexibility in modeling the relationship between the response variable and the predictors, also in case of strong non-linearities. In…

Machine Learning · Statistics 2023-10-18 Luca Patelli , Michela Cameletti , Natalia Golini , Rosaria Ignaccolo

Random forest is a classification algorithm well suited for microarray data: it shows excellent performance even when most predictive variables are noise, can be used when the number of variables is much larger than the number of…

Quantitative Methods · Quantitative Biology 2007-05-23 Ramon Diaz-Uriarte , Sara Alvarez de Andres

Modern methods for quantifying and predicting species distribution play a crucial part in biodiversity conservation. Occupancy models are a popular choice for analyzing species occurrence data as they allow to separate the observational…

Methodology · Statistics 2024-03-19 Jafet Belmont , Sara Martino , Janine Illian , Håvard Rue

Monitoring and managing Earth's forests in an informed manner is an important requirement for addressing challenges like biodiversity loss and climate change. While traditional in situ or aerial campaigns for forest assessments provide…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Alexander Becker , Stefania Russo , Stefano Puliti , Nico Lang , Konrad Schindler , Jan Dirk Wegner

Motivated by the Extreme Value Analysis 2021 (EVA 2021) data challenge we propose a method based on statistics and machine learning for the spatial prediction of extreme wildfire frequencies and sizes. This method is tailored to handle…

Methodology · Statistics 2023-04-04 Daniela Cisneros , Yan Gong , Rishikesh Yadav , Arnab Hazra , Raphael Huser

Exact computation of the partition function is known to be intractable, necessitating approximate inference techniques. Existing methods for approximate inference are slow to converge for many benchmarks. The control of accuracy-complexity…

Artificial Intelligence · Computer Science 2023-09-29 Shivani Bathla , Vinita Vasudevan

Classification of functional data where observations are curves or trajectories poses unique challenges, particularly under severe class imbalance. Traditional Random Forest algorithms, while robust for tabular data, often fail to capture…

Machine Learning · Statistics 2025-12-10 Fahad Mostafa , Hafiz Khan