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The method of flexi-Weighted Least Squares on evolutionary trees uses simple polynomial or exponential functions of the evolutionary distance in place of model-based variances. This has the advantage that unexpected deviations from…

Populations and Evolution · Quantitative Biology 2010-12-30 Peter J. Waddell , Xi Tan , Ishita Khan

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

Complete genome sequences contain valuable information about natural selection, but extracting this information for short, widely scattered noncoding elements remains a challenging problem. Here we introduce a new computational method for…

Genomics · Quantitative Biology 2015-03-19 Ilan Gronau , Leonardo Arbiza , Jaaved Mohammed , Adam Siepel

In this paper we investigate the geometry of a discrete Bayesian network whose graph is a tree all of whose variables are binary and the only observed variables are those labeling its leaves. We provide the full geometric description of…

Statistics Theory · Mathematics 2011-10-20 Piotr Zwiernik , Jim Q. Smith

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

Methodology · Statistics 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Tree shape statistics, particularly measures of tree (im)balance, play an important role in the analysis of the shape of phylogenetic trees. With applications ranging from testing evolutionary models to studying the impact of fertility…

Populations and Evolution · Quantitative Biology 2024-10-15 Sophie J. Kersting , Kristina Wicke , Mareike Fischer

Image segmentation is one of the most fundamental tasks of computer vision. In many practical applications, it is essential to properly evaluate the reliability of individual segmentation results. In this study, we propose a novel framework…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Kosuke Tanizaki , Noriaki Hashimoto , Yu Inatsu , Hidekata Hontani , Ichiro Takeuchi

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

Machine Learning · Computer Science 2012-06-22 Sebastian Nowozin

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

Selective inference methods are developed for group lasso estimators for use with a wide class of distributions and loss functions. The method includes the use of exponential family distributions, as well as quasi-likelihood modeling for…

Methodology · Statistics 2024-03-28 Yiling Huang , Sarah Pirenne , Snigdha Panigrahi , Gerda Claeskens

The reliability of a phylogenetic inference method from genomic sequence data is ensured by its statistical consistency. Bayesian inference methods produce a sample of phylogenetic trees from the posterior distribution given sequence data.…

Metric Geometry · Mathematics 2016-06-10 Alex Gavryushkin , Alexei J. Drummond

We investigated testing the likelihood of a phylogenetic tree by comparison to its subtree pruning and regrafting (SPR) neighbors, with or without re-optimizing branch lengths. This is inspired by aspects of Bayesian significance tests, and…

Applications · Statistics 2014-07-30 Thurston H. Y. Dang , Elchanan Mossel

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

The inference of the evolutionary history of a collection of organisms is a problem of fundamental importance in evolutionary biology. The abundance of DNA sequence data arising from genome sequencing projects has led to significant…

Populations and Evolution · Quantitative Biology 2015-07-07 Julia Chifman , Laura Kubatko

Decision trees and random forest remain highly competitive for classification on medium-sized, standard datasets due to their robustness, minimal preprocessing requirements, and interpretability. However, a single tree suffers from high…

Machine Learning · Statistics 2025-12-02 Cencheng Shen , Yuexiao Dong , Carey E. Priebe

Designing protein sequences that fold into a target 3D structure, known as protein inverse folding, is a fundamental challenge in protein engineering. While recent deep learning methods have achieved impressive performance by recovering…

Biomolecules · Quantitative Biology 2025-06-03 Mengdi Liu , Xiaoxue Cheng , Zhangyang Gao , Hong Chang , Cheng Tan , Shiguang Shan , Xilin Chen

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

Applications · Statistics 2018-11-06 Cheng Zhang , Frederick A. Matsen

In this paper, Bayesian based aggregation of decision trees in an ensemble (decision forest) is investigated. The focus is laid on multi-class classification with number of samples significantly skewed toward one of the classes. The…

Machine Learning · Computer Science 2021-07-27 Jan Brabec , Lukas Machlica

The constant rate birth--death process is a popular null model for speciation and extinction. If one removes extinct and non-sampled lineages, this process induces `reconstructed trees' which describe the relationship between extant…

Probability · Mathematics 2011-08-01 Tanja Stadler , Mike Steel

With the increasing deployment of machine learning models in many socially sensitive tasks, there is a growing demand for reliable and trustworthy predictions. One way to accomplish these requirements is to allow a model to abstain from…

Machine Learning · Computer Science 2024-09-19 Andrea Pugnana , Lorenzo Perini , Jesse Davis , Salvatore Ruggieri
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