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Statistical wisdom suggests that very complex models, interpolating training data, will be poor at predicting unseen examples.Yet, this aphorism has been recently challenged by the identification of benign overfitting regimes, specially…

Statistics Theory · Mathematics 2023-02-10 Ludovic Arnould , Claire Boyer , Erwan Scornet

In this paper, we propose DiFF-RF, an ensemble approach composed of random partitioning binary trees to detect point-wise and collective (as well as contextual) anomalies. Thanks to a distance-based paradigm used at the leaves of the trees,…

Machine Learning · Computer Science 2021-01-15 Pierre-Francois Marteau

A new approach called ABRF (the attention-based random forest) and its modifications for applying the attention mechanism to the random forest (RF) for regression and classification are proposed. The main idea behind the proposed ABRF…

Machine Learning · Computer Science 2022-01-11 Lev V. Utkin , Andrei V. Konstantinov

As a flexible nonparametric learning tool, the random forests algorithm has been widely applied to various real applications with appealing empirical performance, even in the presence of high-dimensional feature space. Unveiling the…

Statistics Theory · Mathematics 2022-09-27 Chien-Ming Chi , Patrick Vossler , Yingying Fan , Jinchi Lv

Random forest (RF) is one of the most popular methods for estimating regression functions. The local nature of the RF algorithm, based on intra-node means and variances, is ideal when errors are i.i.d. For dependent error processes like…

Machine Learning · Statistics 2021-06-29 Arkajyoti Saha , Sumanta Basu , Abhirup Datta

Axis-aligned decision trees are fast and stable but struggle on datasets with rotated or interaction-dependent decision boundaries, where informative splits require linear combinations of features rather than single-feature thresholds.…

Machine Learning · Computer Science 2025-12-10 Sarwesh Rauniyar

Predicting rare outcomes such as startup success is central to venture capital, demanding models that are both accurate and interpretable. We introduce Random Rule Forest (RRF), a lightweight ensemble method that uses a large language model…

Artificial Intelligence · Computer Science 2025-09-17 Ben Griffin , Diego Vidaurre , Ugur Koyluoglu , Joseph Ternasky , Fuat Alican , Yigit Ihlamur

Random forest (RF) missing data algorithms are an attractive approach for dealing with missing data. They have the desirable properties of being able to handle mixed types of missing data, they are adaptive to interactions and nonlinearity,…

Machine Learning · Statistics 2017-01-23 Fei Tang , Hemant Ishwaran

The \emph{maximum a posteriori} (MAP) assignment for general structure Markov random fields (MRFs) is computationally intractable. In this paper, we exploit tree-based methods to efficiently address this problem. Our novel method, named…

Artificial Intelligence · Computer Science 2014-07-23 Truyen Tran , Dinh Phung , Svetha Venkatesh

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Decision Trees and Random Forests are among the most widely used machine learning models, and often achieve state-of-the-art performance in tabular, domain-agnostic datasets. Nonetheless, being primarily discriminative models they lack…

Machine Learning · Statistics 2020-07-14 Alvaro H. C. Correia , Robert Peharz , Cassio de Campos

Random forests are ensemble methods which grow trees as base learners and combine their predictions by averaging. Random forests are known for their good practical performance, particularly in high dimensional set-tings. On the theoretical…

Statistics Theory · Mathematics 2015-09-18 Erwan Scornet

Information-theoretic quantities, such as conditional entropy and mutual information, are critical data summaries for quantifying uncertainty. Current widely used approaches for computing such quantities rely on nearest neighbor methods and…

Spatially Coherent Random Forest (SCRF) extends Random Forest to create spatially coherent labeling. Each split function in SCRF is evaluated based on a traditional information gain measure that is regularized by a spatial coherency term.…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Tal Remez , Shai Avidan

We study the problem of balancing effectiveness and efficiency in automated feature selection. After exploring many feature selection methods, we observe a computational dilemma: 1) traditional feature selection is mostly efficient, but…

Machine Learning · Computer Science 2020-10-07 Wei Fan , Kunpeng Liu , Hao Liu , Yong Ge , Hui Xiong , Yanjie Fu

Random Forest (Breiman, 2001) is a successful and widely used regression and classification algorithm. Part of its appeal and reason for its versatility is its (implicit) construction of a kernel-type weighting function on training data,…

Machine Learning · Statistics 2022-10-13 Domagoj Ćevid , Loris Michel , Jeffrey Näf , Nicolai Meinshausen , Peter Bühlmann

The paper attempts to validate the effectiveness of tree classifiers to classify tabla strokes especially the ones which are overlapping in nature. It uses decision tree, ID3 and random forest as classifiers. A custom made data sets of 650…

Sound · Computer Science 2018-01-08 Subodh Deolekar , Siby Abraham

Interactions between several features sometimes play an important role in prediction tasks. But taking all the interactions into consideration will lead to an extremely heavy computational burden. For categorical features, the situation is…

Machine Learning · Statistics 2021-04-13 Qiuqiang Lin , Chuanhou Gao

Random forests are a sensible non-parametric model to predict competing risk data according to some covariates. However, there are currently no packages that can adequately handle large datasets ($n > 100,000$). We introduce a new R…

Methodology · Statistics 2022-07-26 Joel Therrien , Jiguo Cao

In this paper, we will show that the recently introduced graphical model: Conditional Random Fields (CRF) provides a template to integrate micro-level information about biological entities into a mathematical model to understand their…

Machine Learning · Computer Science 2020-08-07 Lior Lukov , Sanjay Chawla , Wei Liu , Brett Church , Gaurav Pandey