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Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

Machine Learning · Computer Science 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Bayesian inference has predominantly relied on the Markov chain Monte Carlo (MCMC) algorithm for many years. However, MCMC is computationally laborious, especially for complex phylogenetic models of time trees. This bottleneck has led to…

Populations and Evolution · Quantitative Biology 2024-06-27 Mathieu Fourment , Matthew Macaulay , Christiaan J Swanepoel , Xiang Ji , Marc A Suchard , Frederick A Matsen

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

Computing the exact likelihood of data in large Bayesian networks consisting of thousands of vertices is often a difficult task. When these models contain many deterministic conditional probability tables and when the observed values are…

Computation · Statistics 2012-06-26 Ydo Wexler , Dan Geiger

Probabilistic programming frameworks are powerful tools for statistical modelling and inference. They are not immediately generalisable to phylogenetic problems due to the particular computational properties of the phylogenetic tree object.…

Populations and Evolution · Quantitative Biology 2022-11-11 Christiaan Swanepoel , Mathieu Fourment , Xiang Ji , Hassan Nasif , Marc A Suchard , Frederick A Matsen , Alexei Drummond

Recent advancements in aligning large language models via reinforcement learning have achieved remarkable gains in solving complex reasoning problems, but at the cost of expensive on-policy rollouts and limited exploration of diverse…

Gene gain-loss-duplication models are commonly based on continuous-time birth-death processes. Employed in a phylogenetic context, such models have been increasingly popular in studies of gene content evolution across multiple genomes.…

Populations and Evolution · Quantitative Biology 2021-07-27 Miklos Csuros

Traditional neural networks are simple to train but they typically produce overconfident predictions. In contrast, Bayesian neural networks provide good uncertainty quantification but optimizing them is time consuming due to the large…

Machine Learning · Computer Science 2024-11-07 Yadi Wei , Roni Khardon

Somatic variants can be used as lineage markers for the phylogenetic reconstruction of cancer evolution. Since somatic phylogenetics is complicated by sample heterogeneity, novel specialized tree-building methods are required for cancer…

Computational Engineering, Finance, and Science · Computer Science 2014-12-31 Victoria Popic , Raheleh Salari , Iman Hajirasouliha , Dorna Kashef-Haghighi , Robert B. West , Serafim Batzoglou

Phylogenetic analyses which include fossils or molecular sequences that are sampled through time require models that allow one sample to be a direct ancestor of another sample. As previously available phylogenetic inference tools assume…

Populations and Evolution · Quantitative Biology 2014-12-08 Alexandra Gavryushkina , David Welch , Tanja Stadler , Alexei Drummond

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

We propose a statistical method to test whether two phylogenetic trees with given alignments are significantly incongruent. Our method compares the two distributions of phylogenetic trees given by the input alignments, instead of comparing…

Populations and Evolution · Quantitative Biology 2010-04-14 Elissaveta Arnaoudova , David Haws , Peter Huggins , Jerzy W. Jaromczyk , Neil Moore , Chris Schardl , Ruriko Yoshida

Vanilla variational inference finds an optimal approximation to the Bayesian posterior distribution, but even the exact Bayesian posterior is often not meaningful under model misspecification. We propose predictive variational inference…

Machine Learning · Statistics 2026-03-31 Jinlin Lai , Antonio Linero , Yuling Yao

Lifetime data with spatial correlations are often collected for analysis in modern engineering, clinical, and medical applications. For such spatial lifetime data, statistical models usually account for the spatial dependence through…

Methodology · Statistics 2025-07-15 Yueyao Wang , Yili Hong , Laura Freeman , Xinwei Deng

Bayesian inference methods rely on numerical algorithms for both model selection and parameter inference. In general, these algorithms require a high computational effort to yield reliable estimates. One of the major challenges in…

Quantitative Methods · Quantitative Biology 2018-08-09 Patricio Maturana , Brendon J. Brewer , Steffen Klaere , Remco Bouckaert

The key to VI is the selection of a tractable density to approximate the Bayesian posterior. For large and complex models a common choice is to assume independence between multivariate blocks in a partition of the parameter space. While…

Machine Learning · Statistics 2025-10-07 Yu Fu , Michael Stanley Smith , Anastasios Panagiotelis

Inferring dependencies between complex biological traits while accounting for evolutionary relationships between specimens is of great scientific interest yet remains infeasible when trait and specimen counts grow large. The…

Inference networks of traditional Variational Autoencoders (VAEs) are typically amortized, resulting in relatively inaccurate posterior approximation compared to instance-wise variational optimization. Recent semi-amortized approaches were…

Machine Learning · Computer Science 2020-11-18 Minyoung Kim , Vladimir Pavlovic

Motivation: The mapping of RNA-seq reads to their transcripts of origin is a fundamental task in transcript expression estimation and differential expression scoring. Where ambiguities in mapping exist due to transcripts sharing sequence,…

Genomics · Quantitative Biology 2015-01-28 James Hensman , Peter Glaus , Antti Honkela , Magnus Rattray

Variational Bayes (VB) is a popular estimation method for Bayesian inference. However, most existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes their use in many important situations. Tran et…

Methodology · Statistics 2017-05-19 David Gunawan , Minh-Ngoc Tran , Robert Kohn