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For a model of molecular evolution to be useful for phylogenetic inference, the topology of evolutionary trees must be identifiable. That is, from a joint distribution the model predicts, it must be possible to recover the tree parameter.…

Populations and Evolution · Quantitative Biology 2011-11-09 Elizabeth S. Allman , John A. Rhodes

This work focuses on clustering populations with a hierarchical dependency structure that can be described by a tree. A particular example that is the focus of our work is the phylogenetic tree, with nodes often representing biological…

Methodology · Statistics 2023-02-28 Hanxi Sun , Heejung Shim , Vinayak Rao

The structure of an evolving network contains information about its past. Extracting this information efficiently, however, is, in general, a difficult challenge. We formulate a fast and efficient method to estimate the most likely history…

Physics and Society · Physics 2020-09-16 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

Molecular phylogenetic and phylogeographic reconstructions generally assume time-homogeneous substitution processes. Motivated by computational convenience, this assumption sacrifices biological realism and offers little opportunity to…

Populations and Evolution · Quantitative Biology 2013-09-13 Filip Bielejec , Philippe Lemey , Guy Baele , Andrew Rambaut , Marc A Suchard

Collapse Lineage Tree (CLTree) is a software tool that annotates, roots, and evaluates phylogenetic trees by using lineages. A recursive algorithm was designed to annotate the branches by the common taxonomic lineage of its descendants in a…

Populations and Evolution · Quantitative Biology 2025-11-25 Guanghong Zuo

Tree-based models have proven to be an effective solution for web ranking as well as other problems in diverse domains. This paper focuses on optimizing the runtime performance of applying such models to make predictions, given an…

Databases · Computer Science 2013-04-29 Nima Asadi , Jimmy Lin , Arjen P. de Vries

Monte-Carlo tree search (MCTS) has driven many recent breakthroughs in deep reinforcement learning (RL). However, scaling MCTS to parallel compute has proven challenging in practice which has motivated alternative planners like sequential…

Machine Learning · Computer Science 2025-07-09 Joery A. de Vries , Jinke He , Yaniv Oren , Matthijs T. J. Spaan

Combining a set of phylogenetic trees into a single phylogenetic network that explains all of them is a fundamental challenge in evolutionary studies. Existing methods are computationally expensive and can either handle only small numbers…

Populations and Evolution · Quantitative Biology 2023-04-07 Giulia Bernardini , Leo van Iersel , Esther Julien , Leen Stougie

We address the problem of the joint statistical inference of phylogenetic trees and multiple sequence alignments from unaligned molecular sequences. This problem is generally formulated in terms of string-valued evolutionary processes along…

Populations and Evolution · Quantitative Biology 2015-06-05 Alexandre Bouchard-Côté , Michael I. Jordan

We present an algorithm for phylogenetic reconstruction using quartets that returns the correct topology for $n$ taxa in $O(n \log n)$ time with high probability, in a probabilistic model where a quartet is not consistent with the true…

Populations and Evolution · Quantitative Biology 2010-10-12 Daniel G. Brown , Jakub Truszkowski

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

Although RLVR has become an essential component for developing advanced reasoning skills in language models, contemporary studies have documented training plateaus after thousands of optimization steps, i.e., notable decreases in…

Artificial Intelligence · Computer Science 2026-04-08 Fang Wu , Weihao Xuan , Heli Qi , Ximing Lu , Aaron Tu , Li Erran Li , Yejin Choi

Many recent advances in large scale probabilistic inference rely on variational methods. The success of variational approaches depends on (i) formulating a flexible parametric family of distributions, and (ii) optimizing the parameters to…

Machine Learning · Statistics 2018-02-22 Christian A. Naesseth , Scott W. Linderman , Rajesh Ranganath , David M. Blei

Rate variation among the sites of a molecular sequence is commonly found in applications of phylogenetic inference. Several approaches exist to account for this feature but they do not usually enable the investigator to pinpoint the sites…

Quantitative Methods · Quantitative Biology 2013-05-23 Elisa Loza-Reyes , Merrilee Hurn , Tony Robinson

The ability to explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably…

Machine Learning · Computer Science 2026-05-06 John Törnblom , Emil Karlsson , Simin Nadjm-Tehrani

Generating natural language under complex constraints is a principled formulation towards controllable text generation. We present a framework to allow specification of combinatorial constraints for sentence generation. We propose TSMH, an…

Computation and Language · Computer Science 2020-12-01 Maosen Zhang , Nan Jiang , Lei Li , Yexiang Xue

Performing Bayesian inference via Markov chain Monte Carlo (MCMC) can be exceedingly expensive when posterior evaluations invoke the evaluation of a computationally expensive model, such as a system of partial differential equations. In…

Computation · Statistics 2017-12-27 Patrick Conrad , Andrew Davis , Youssef Marzouk , Natesh Pillai , Aaron Smith

Test-time compute scaling has emerged as a new axis along which to improve model accuracy, where additional computation is used at inference time to allow the model to think longer for more challenging problems. One promising approach for…

Modern applications of Bayesian inference involve models that are sufficiently complex that the corresponding posterior distributions are intractable and must be approximated. The most common approximation is based on Markov chain Monte…

Machine Learning · Statistics 2019-05-15 Yue Yang , Ryan Martin , Howard Bondell

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

Methodology · Statistics 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan