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Two families of directional direct search methods have emerged in derivative-free and blackbox optimization (DFO and BBO), each based on distinct principles: Mesh Adaptive Direct Search (MADS) and Sufficient Decrease Direct Search (SDDS).…

Optimization and Control · Mathematics 2025-08-01 Charles Audet , Théo Denorme , Youssef Diouane , Sébastien Le Digabel , Christophe Tribes

How do phylogenetic reconstruction algorithms go astray when they return incorrect trees? This simple question has not been answered in detail, even for maximum parsimony (MP), the simplest phylogenetic criterion. Understanding MP has…

Populations and Evolution · Quantitative Biology 2025-09-15 William Howard-Snyder , Will Dumm , Mary Barker , Ognian Milanov , Claris Winston , David H. Rich , Marc A Suchard , Frederick A Matsen

We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

Numerical Analysis · Mathematics 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi

This article is motivated by challenges in conducting Bayesian inferences on unknown discrete distributions, with a particular focus on count data. To avoid the computational disadvantages of traditional mixture models, we develop a novel…

Methodology · Statistics 2025-11-12 Davide Agnoletto , Tommaso Rigon , David B. Dunson

Good representations for phylogenetic trees and networks are important for optimizing storage efficiency and implementation of scalable methods for the inference and analysis of evolutionary trees for genes, genomes and species. We…

Populations and Evolution · Quantitative Biology 2024-05-14 Cedric Chauve , Caroline Colijn , Louxin Zhang

The main goal of this paper is to provide an algorithm for the random sampling of Butcher trees and the probabilistic numerical solution of ordinary differential equations (ODEs). This approach complements and simplifies a recent approach…

Classical Analysis and ODEs · Mathematics 2025-11-11 Qiao Huang , Nicolas Privault

Bayesian phylogenetics is vital for understanding evolutionary dynamics, and requires accurate and efficient approximation of posterior distributions over trees. In this work, we develop a variational Bayesian approach for ultrametric…

Machine Learning · Statistics 2026-02-16 Evan Sidrow , Alexandre Bouchard-Côté , Lloyd T. Elliott

We propose a novel mechanism for real-time (human-in-the-loop) feedback focused on false positive reduction to enhance anomaly detection models. It was designed for the lightweight deployment of a behavioral network anomaly detection model.…

Machine Learning · Computer Science 2025-02-28 Sam Pastoriza , Iman Yousfi , Christopher Redino , Marc Vucovich , Abdul Rahman , Sal Aguinaga , Dhruv Nandakumar

The phylogenetic Mean Pairwise Distance (MPD) is one of the most popular measures for computing the phylogenetic distance between a given group of species. More specifically, for a phylogenetic tree T and for a set of species R represented…

Quantitative Methods · Quantitative Biology 2013-08-02 Constantinos Tsirogiannis , Brody Sandel

Ancestral mixture model, proposed by Chen and Lindsay (2006), is an important model to build a hierarchical tree from high dimensional binary sequences. Mixture trees created from ancestral mixture models involve in the inferred…

Data Structures and Algorithms · Computer Science 2019-11-28 Justie Su-Tzu Juan , Yi-Ching Chen , Chen-Hui Lin , Shu-Chuan , Chen

A chief problem in phylogenetics and database theory is the computation of a maximum consistent tree from a set of rooted or unrooted trees. A standard input are triplets, rooted binary trees on three leaves, or quartets, unrooted binary…

Discrete Mathematics · Computer Science 2010-05-31 Leo van Iersel , Matthias Mnich

We present a new method for inferring species trees from multi-copy gene trees. Our method is based on a generalization of the Robinson-Foulds (RF) distance to multi-labeled trees (mul-trees), i.e., gene trees in which multiple leaves can…

Data Structures and Algorithms · Computer Science 2012-10-10 Ruchi Chaudhary , J. Gordon Burleigh , David Fernández-Baca

We present Fast Approximate Minimum Spanning Tree (FAMST), a novel algorithm that addresses the computational challenges of constructing Minimum Spanning Trees (MSTs) for large-scale and high-dimensional datasets. FAMST utilizes a…

Data Structures and Algorithms · Computer Science 2025-07-22 Mahmood K. M. Almansoori , Miklos Telek

Phylogenetic networks which are, as opposed to trees, suitable to describe processes like hybridization and horizontal gene transfer, play a substantial role in evolutionary research. However, while non-treelike events need to be taken into…

Populations and Evolution · Quantitative Biology 2022-07-06 Mareike Fischer , Tom Niklas Hamann , Kristina Wicke

Plant roots typically exhibit a highly complex and dense architecture, incorporating numerous slender lateral roots and branches, which significantly hinders the precise capture and modeling of the entire root system. Additionally, roots…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Jiakai Lin , Jinchang Zhang , Ge Jin , Wenzhan Song , Tianming Liu , Guoyu Lu

We consider the following question: how close to the ancestral root of a phylogenetic tree is the most recent common ancestor of $k$ species randomly sampled from the tips of the tree? For trees having shapes predicted by the Yule-Harding…

Populations and Evolution · Quantitative Biology 2025-12-03 Michael Fuchs , Mike Steel

While large volumes of unlabeled data are usually available, associated labels are often scarce. The unsupervised domain adaptation problem aims at exploiting labels from a source domain to classify data from a related, yet different,…

Machine Learning · Computer Science 2023-08-28 François Painblanc , Laetitia Chapel , Nicolas Courty , Chloé Friguet , Charlotte Pelletier , Romain Tavenard

An efficient method for finding all real roots of a univariate function in a given bounded domain is formulated. The proposed method uses adaptive mesh refinement to locate bracketing intervals based on bisection criterion for root finding.…

Numerical Analysis · Mathematics 2015-08-11 Mohammad Amin Razbani

Adversarial examples provoke weak reliability and potential security issues in deep neural networks. Although adversarial training has been widely studied to improve adversarial robustness, it works in an over-parameterized regime and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Byung-Kwan Lee , Junho Kim , Yong Man Ro

Out-of-distribution (OOD) detection is essential to prevent anomalous inputs from causing a model to fail during deployment. While improved OOD detection methods have emerged, they often rely on the final layer outputs and require a full…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Ziqian Lin , Sreya Dutta Roy , Yixuan Li