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Finding spanning trees under various constraints is a classic problem with applications in many fields. Recently, a novel notion of "dense" ("sparse") tree, and in particular spanning tree (DST and SST respectively), is introduced as the…

Optimization and Control · Mathematics 2020-05-29 Mustafa Ozen , Goran Lesaja , Hua Wang

Phylogenetics is now fundamental in life sciences, providing insights into the earliest branches of life and the origins and spread of epidemics. However, finding suitable phylogenies from the vast space of possible trees remains…

Populations and Evolution · Quantitative Biology 2024-01-24 Matthew J Penn , Neil Scheidwasser , Joseph Penn , Christl A Donnelly , David A Duchêne , Samir Bhatt

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting…

Populations and Evolution · Quantitative Biology 2015-01-21 Robert W. Scotland , Mike Steel

We propose a novel graph-regularized neural network (GRNN) algorithm for tree species classification. The proposed algorithm encompasses superpixel-based segmentation for graph construction, a pixel-wise neural network classifier, and the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-08 Debmita Bandyopadhyay , Subhadip Mukherjee , James Ball , Grégoire Vincent , David A. Coomes , Carola-Bibiane Schönlieb

We present a procedure for effective estimation of entropy and mutual information from small-sample data, and apply it to the problem of inferring high-dimensional gene association networks. Specifically, we develop a James-Stein-type…

Machine Learning · Statistics 2009-08-08 Jean Hausser , Korbinian Strimmer

Computational inference of dated evolutionary histories relies upon various hypotheses about RNA, DNA, and protein sequence mutation rates. Using mutation rates to infer these dated histories is referred to as molecular clock assumption.…

Populations and Evolution · Quantitative Biology 2021-01-11 Lena Collienne , Kieran Elmes , Mareike Fischer , David Bryant , Alex Gavryushkin

To the known fact that Parsimony method sometimes fails on the problem of inferring species trees from gene trees, here we proved that no mater of what topology the true 9-taxon and greater species tree is the only thing one needs to break…

Populations and Evolution · Quantitative Biology 2019-08-13 Vikenty Mikheev , Serge E. Miheev

With the advance of experimental techniques such as time-lapse fluorescence microscopy, the availability of single-cell trajectory data has vastly increased, and so has the demand for computational methods suitable for parameter inference…

Quantitative Methods · Quantitative Biology 2016-07-06 Irena Kuzmanovska , Andreas Milias-Argeitis , Christoph Zechner , Mustafa Khammash

We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble…

Machine Learning · Statistics 2017-10-27 Rajiv Sambasivan , Sourish Das

When hybridization or other forms of lateral gene transfer have occurred, evolutionary relationships of species are better represented by phylogenetic networks than by trees. While inference of such networks remains challenging, several…

Populations and Evolution · Quantitative Biology 2024-01-15 Elizabeth S. Allman , Hector Baños , Marina Garrote-Lopez , John A. Rhodes

Given overlapping subsets of a set of taxa (e.g. species), and posterior distributions on phylogenetic tree topologies for each of these taxon sets, how can we infer a posterior distribution on phylogenetic tree topologies for the entire…

Populations and Evolution · Quantitative Biology 2021-04-23 Michael Karcher , Cheng Zhang , Frederick A Matsen

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

We consider probabilistic inference in general hybrid networks, which include continuous and discrete variables in an arbitrary topology. We reexamine the question of variable discretization in a hybrid network aiming at minimizing the…

Artificial Intelligence · Computer Science 2013-02-08 Alexander V. Kozlov , Daphne Koller

We propose a method for the classification of objects that are structured as random trees. Our aim is to model a distribution over the node label assignments in settings where the tree data structure is associated with node attributes…

Machine Learning · Computer Science 2024-09-18 Wouter W. L. Nuijten , Vlado Menkovski

The subject of pattern avoiding permutations has its roots in computer science, namely in the problem of sorting a permutation through a stack. A formula for the number of permutations of length n that can be sorted by passing it twice…

Combinatorics · Mathematics 2010-03-26 Anders Claesson , Sergey Kitaev , Einar Steingrimsson

Genetic analysis was carried out in order to provide insights into differentiation among populations of two interfertile oak species, Quercus petraea and Quercus robur. Gene flow between the two species, local adaptations and speciation…

Populations and Evolution · Quantitative Biology 2013-06-11 Charalambos Neophytou , Filippos A. Aravanopoulos , Siegfried Fink , Aikaterini Dounavi

With the coming data deluge from synoptic surveys, there is a growing need for frameworks that can quickly and automatically produce calibrated classification probabilities for newly-observed variables based on a small number of time-series…

Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations. Previous approaches to stability have assumed…

Molecular Networks · Quantitative Biology 2015-05-13 Andrew Pomerance , Edward Ott , Michelle Girvan , Wolfgang Losert

Repetitions within a given genealogical tree provides some information about the degree of consanguineity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Oscar Pla

Frequencies of $k$-mers in sequences are sometimes used as a basis for inferring phylogenetic trees without first obtaining a multiple sequence alignment. We show that a standard approach of using the squared-Euclidean distance between…

Populations and Evolution · Quantitative Biology 2016-01-15 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant