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To improve accuracy and speed of regressions and classifications, we present a data-based prediction method, Random Bits Regression (RBR). This method first generates a large number of random binary intermediate/derived features based on…

Machine Learning · Statistics 2016-11-04 Yi Wang , Yi Li , Momiao Xiong , Li Jin

In large-scale regression problems, random Fourier features (RFFs) have significantly enhanced the computational scalability and flexibility of Gaussian processes (GPs) by defining kernels through their spectral density, from which a finite…

Machine Learning · Computer Science 2024-06-05 Houston Warren , Rafael Oliveira , Fabio Ramos

The problem of estimating the slope parameter in regression between two spatial processes under confounding by an unmeasured spatial process has received widespread attention in the recent statistical literature. Yet, a fundamental question…

Statistics Theory · Mathematics 2026-03-04 Abhirup Datta , Michael L. Stein

Random Forests and Gradient Boosting are among the most effective algorithms for supervised learning on tabular data. Both belong to the class of tree-based ensemble methods, where predictions are obtained by aggregating many randomized…

Machine Learning · Statistics 2025-12-02 Mehdi Dagdoug , Clement Dombry , Jean-Jil Duchamps

Missing data imputation is a critical challenge in various domains, such as healthcare and finance, where data completeness is vital for accurate analysis. Large language models (LLMs), trained on vast corpora, have shown strong potential…

Machine Learning · Computer Science 2025-08-26 Xinrui He , Yikun Ban , Jiaru Zou , Tianxin Wei , Curtiss B. Cook , Jingrui He

We propose methods to improve the forecasts from generalized autoregressive score (GAS) models (Creal et. al, 2013; Harvey, 2013) by localizing their parameters using decision trees and random forests. These methods avoid the curse of…

Econometrics · Economics 2023-05-31 Andrew J. Patton , Yasin Simsek

High dimension, low sample size (HDLSS) problems are numerous among real-world applications of machine learning. From medical images to text processing, traditional machine learning algorithms are usually unsuccessful in learning the best…

Machine Learning · Statistics 2023-11-20 Lucca Portes Cavalheiro , Simon Bernard , Jean Paul Barddal , Laurent Heutte

We present Neural Random Forest Imitation - a novel approach for transforming random forests into neural networks. Existing methods propose a direct mapping and produce very inefficient architectures. In this work, we introduce an imitation…

Machine Learning · Computer Science 2024-04-05 Christoph Reinders , Bodo Rosenhahn

We introduce random spatial forests, a method of bagging regression trees allowing for spatial correlation. Our main contribution is the development of a computationally efficient tree building algorithm which selects each split of the tree…

Methodology · Statistics 2020-07-24 Travis Hee Wai , Michael T. Young , Adam A. Szpiro

The standard regression tree method applied to observations within clusters poses both methodological and implementation challenges. Effectively leveraging these data requires methods that account for both individual-level and sample-level…

Methodology · Statistics 2025-03-05 Jeremiah Allis , Xin Jin , Riddhi Ghosh

The performance of coverage-based fault localization greatly depends on the quality of test cases being executed. These test cases execute some lines of the given program and determine whether the underlying tests are passed or failed. In…

Software Engineering · Computer Science 2020-06-17 Shuvalaxmi Dass , Xiaozhen Xue , Akbar Siami Namin

An increasing array of biomedical and computer vision applications requires the predictive modeling of complex data, for example images and shapes. The main challenge when predicting such objects lies in the fact that they do not comply to…

Machine Learning · Statistics 2017-02-17 Dimosthenis Tsagkrasoulis , Giovanni Montana

The tree-based ensembles are known for their outstanding performance in classification and regression problems characterized by feature vectors represented by mixed-type variables from various ranges and domains. However, considering…

Machine Learning · Computer Science 2025-12-16 Patryk Wielopolski , Maciej Zięba

Logistic regression is a standard method in multivariate analysis for binary outcome data in epidemiological and clinical studies; however, the resultant odds-ratio estimates fail to provide directly interpretable effect measures. The…

Methodology · Statistics 2024-11-26 Takahiro Kitano , Hisashi Noma

Random forests are popular methods for regression and classification analysis, and many different variants have been proposed in recent years. One interesting example is the Mondrian random forest, in which the underlying constituent trees…

Statistics Theory · Mathematics 2025-11-10 Matias D. Cattaneo , Jason M. Klusowski , William G. Underwood

This paper studies the generalization properties of a recently proposed kernel method, the Random Feature models with Learnable Activation Functions (RFLAF). By applying a data-dependent sampling scheme for generating features, we provide…

Machine Learning · Computer Science 2025-10-20 Zailin Ma , Jiansheng Yang , Yaodong Yang

Historical observations of severe weather and simulated severe weather environments (i.e., features) from the Global Ensemble Forecast System v12 (GEFSv12) Reforecast Dataset (GEFS/R) are used in conjunction to train and test random forest…

Atmospheric and Oceanic Physics · Physics 2022-12-19 Aaron J. Hill , Russ S. Schumacher , Israel Jirak

Tree ensembles such as random forests (RFs) and gradient boosting machines (GBMs) are among the most widely used supervised learners, yet their theoretical properties remain incompletely understood. We adopt a spectral perspective on these…

Machine Learning · Statistics 2026-05-13 Binh Duc Vu , David S. Watson

Deep learning (DL) methods have emerged as a powerful tool for the inversion of geophysical data. When applied to field data, these models often struggle without additional fine-tuning of the network. This is because they are built on the…

Machine Learning · Computer Science 2024-10-29 Koustav Ghosal , Arun Singh , Samir Malakar , Shalivahan Srivastava , Deepak Gupta

Robust estimation is a crucial and still challenging task, which involves estimating model parameters in noisy environments. Although conventional sampling consensus-based algorithms sample several times to achieve robustness, these…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Chang Nie , Guangming Wang , Zhe Liu , Luca Cavalli , Marc Pollefeys , Hesheng Wang
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