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The Nested Dirichlet Distribution (NDD) provides a flexible alternative to the Dirichlet distribution for modeling compositional data, relaxing constraints on component variances and correlations through a hierarchical tree structure. While…

Methodology · Statistics 2026-01-16 Jacob A. Turner , Monnie McGee , Bianca A. Luedeker

In regression tasks the distribution of the data is often too complex to be fitted by a single model. In contrast, partition-based models are developed where data is divided and fitted by local models. These models partition the input space…

Machine Learning · Computer Science 2019-03-20 Wenbo Zhao , Yang Gao , Shahan Ali Memon , Bhiksha Raj , Rita Singh

The randomized or cross-validated split of training and testing sets has been adopted as the gold standard of machine learning for decades. The establishment of these split protocols are based on two assumptions: (i)-fixing the dataset to…

Machine Learning · Computer Science 2021-06-09 Jimin Tan , Jianan Yang , Sai Wu , Gang Chen , Jake Zhao

A core step of every algorithm for learning regression trees is the selection of the best splitting variable from the available covariates and the corresponding split point. Early tree algorithms (e.g., AID, CART) employed greedy search…

Methodology · Statistics 2019-06-26 Lisa Schlosser , Torsten Hothorn , Achim Zeileis

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

Machine Learning · Computer Science 2026-05-14 Quentin Duchemin , Guillaume Obozinski

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

Methodology · Statistics 2015-04-21 Gerhard Tutz , Moritz Berger

Real-life machine learning problems exhibit distributional shifts in the data from one time to another or from one place to another. This behavior is beyond the scope of the traditional empirical risk minimization paradigm, which assumes…

Machine Learning · Computer Science 2024-07-24 Timothy DeLise

Accurate prediction of suicide risk in mental health patients remains an open problem. Existing methods including clinician judgments have acceptable sensitivity, but yield many false positives. Exploiting administrative data has a great…

Machine Learning · Statistics 2016-05-05 Thuong Nguyen , Truyen Tran , Shivapratap Gopakumar , Dinh Phung , Svetha Venkatesh

Most machine learning-based regressors extract information from data collected via past observations of limited length to make predictions in the future. Consequently, when input to these trained models is data with significantly different…

Machine Learning · Computer Science 2022-06-22 Harsh Vardhan , Janos Sztipanovits

Battery performance datasets are typically non-normal and multicollinear. Extrapolating such datasets for model predictions needs attention to such characteristics. This study explores the impact of data normality in building machine…

Machine Learning · Computer Science 2021-11-05 Shovan Chowdhury , Yuxiao Lin , Boryann Liaw , Leslie Kerby

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

Machine Learning · Statistics 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

Molecular representation learning is pivotal for various molecular property prediction tasks related to drug discovery. Robust and accurate benchmarks are essential for refining and validating current methods. Existing molecular property…

Chemical Physics · Physics 2024-06-27 Shikun Feng , Jiaxin Zheng , Yinjun Jia , Yanwen Huang , Fengfeng Zhou , Wei-Ying Ma , Yanyan Lan

Machine learning (ML) is a promising approach for predicting small molecule properties in drug discovery. Here, we provide a comprehensive overview of various ML methods introduced for this purpose in recent years. We review a wide range of…

Biomolecules · Quantitative Biology 2023-08-25 Nikolai Schapin , Maciej Majewski , Alejandro Varela , Carlos Arroniz , Gianni De Fabritiis

The segmentation of brain tumors in multimodal MRIs is one of the most challenging tasks in medical image analysis. The recent state of the art algorithms solving this task is based on machine learning approaches and deep learning in…

Image and Video Processing · Electrical Eng. & Systems 2020-02-11 Dmitrii Lachinov , Elena Shipunova , Vadim Turlapov

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

Machine Learning · Statistics 2015-06-04 Gilles Louppe

Decision tree classifiers are a widely used tool in data stream mining. The use of confidence intervals to estimate the gain associated with each split leads to very effective methods, like the popular Hoeffding tree algorithm. From a…

Machine Learning · Statistics 2016-04-13 Rocco De Rosa

Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising…

Statistics Theory · Mathematics 2024-10-04 Hengrui Luo , Meng Li

The main contribution of this paper is the development of a new decision tree algorithm. The proposed approach allows users to guide the algorithm through the data partitioning process. We believe this feature has many applications but in…

Machine Learning · Statistics 2020-10-27 Cédric Beaulac , Jeffrey S. Rosenthal

Random feature ridge regression is often analyzed in the high-dimensional regime under the homogeneous sampling model $x_i=\Sigma^{1/2}x_i'$, where the vectors $x_i'$ have iid entries and the same covariance matrix $\Sigma$ is shared by all…

Machine Learning · Statistics 2026-05-19 Issa-Mbenard Dabo , Jérémie Bigot

Using "soft" targets to improve model performance has been shown to be effective in classification settings, but the usage of soft targets for regression is a much less studied topic in machine learning. The existing literature on the usage…

Machine Learning · Computer Science 2024-07-31 Nima Shoghi , Pooya Shoghi , Anuroop Sriram , Abhishek Das