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Many data are naturally modeled by an unobserved hierarchical structure. In this paper we propose a flexible nonparametric prior over unknown data hierarchies. The approach uses nested stick-breaking processes to allow for trees of…

Methodology · Statistics 2010-06-08 Ryan Prescott Adams , Zoubin Ghahramani , Michael I. Jordan

We propose a new algorithm to do posterior sampling of Kingman's coalescent, based upon the Particle Markov Chain Monte Carlo methodology. Specifically, the algorithm is an instantiation of the Particle Gibbs Sampling method, which…

Machine Learning · Statistics 2013-05-07 Yifei Chen , Xiaohui Xie

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 describe an "embarrassingly parallel" method for Bayesian phylogenetic inference, annealed Sequential Monte Carlo, based on recent advances in the Sequential Monte Carlo literature such as adaptive determination of annealing parameters.…

Populations and Evolution · Quantitative Biology 2019-03-15 Liangliang Wang , Shijia Wang , Alexandre Bouchard-Côté

Markov chain Monte Carlo algorithms play a key role in the Bayesian approach to phylogenetic inference. In this paper, we present the first theoretical work analyzing the rate of convergence of several Markov chains widely used in…

Populations and Evolution · Quantitative Biology 2007-05-23 Elchanan Mossel , Eric Vigoda

Monte Carlo Tree Search is a popular method for solving decision making problems. Faster implementations allow for more simulations within the same wall clock time, directly improving search performance. To this end, we present an…

Artificial Intelligence · Computer Science 2025-08-29 James Ragan , Fred Y. Hadaegh , Soon-Jo Chung

We consider the problem of uniformly generating a spanning tree, of a connected undirected graph. This process is useful to compute statistics, namely for phylogenetic trees. We describe a Markov chain for producing these trees. For cycle…

Data Structures and Algorithms · Computer Science 2020-07-08 Luís M. S. Russo , Andreia Sofia Teixeira , Alexandre P Francisco

Switching dynamical systems are an expressive model class for the analysis of time-series data. As in many fields within the natural and engineering sciences, the systems under study typically evolve continuously in time, it is natural to…

Machine Learning · Computer Science 2022-05-19 Lukas Köhs , Bastian Alt , Heinz Koeppl

We present a method to sample Markov-chain trajectories constrained to both the initial and final conditions, which we term Markov bridges. The trajectories are conditioned to end in a specific state at a given time. We derive the master…

Statistical Mechanics · Physics 2025-01-07 Guillaume Le Treut , Sarah Ancheta , Greg Huber , Henri Orland , David Yllanes

Network growth processes can be understood as generative models of the structure and history of complex networks. This point of view naturally leads to the problem of network archaeology: reconstructing all the past states of a network from…

Bayesian inference for undirected graphical models is mostly restricted to the class of decomposable graphs, as they enjoy a rich set of properties making them amenable to high-dimensional problems. While parameter inference is…

Methodology · Statistics 2024-01-02 Mohamad Elmasri

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

At the core of high throughput DNA sequencing platforms lies a bio-physical surface process that results in a random geometry of clusters of homogenous short DNA fragments typically hundreds of base pairs long - bridge amplification. The…

Genomics · Quantitative Biology 2015-08-13 Eliza O'Reilly , Francois Baccelli , Gustavo de Veciana , Haris Vikalo

In the design and analysis of political redistricting maps, it is often useful to be able to sample from the space of all partitions of the graph of census blocks into connected subgraphs of equal population. There are influential Markov…

Discrete Mathematics · Computer Science 2021-10-28 Ariel D. Procaccia , Jamie Tucker-Foltz

Bridging algorithms are global Monte Carlo moves which allow for an efficient sampling of single polymer chains. In this manuscript we discuss the adaptation of three bridging algorithms from lattice to continuum models, and give details on…

Soft Condensed Matter · Physics 2010-03-18 Daniel Reith , Peter Virnau

It has become increasingly easy nowadays to collect approximate posterior samples via fast algorithms such as variational Bayes, but concerns exist about the estimation accuracy. It is tempting to build solutions that exploit approximate…

Computation · Statistics 2024-06-17 Leo L. Duan , Anirban Bhattacharya

We propose a novel unsupervised approach for linking records across arbitrarily many files, while simultaneously detecting duplicate records within files. Our key innovation is to represent the pattern of links between records as a {\em…

Computation · Statistics 2014-03-04 Rebecca C. Steorts , Rob Hall , Stephen E. Fienberg

Sequential Monte Carlo has become a standard tool for Bayesian Inference of complex models. This approach can be computationally demanding, especially when initialized from the prior distribution. On the other hand, deter-ministic…

Methodology · Statistics 2017-07-26 Sophie Donnet , Stéphane Robin

Monte Carlo sampling methods often suffer from long correlation times. Consequently, these methods must be run for many steps to generate an independent sample. In this paper a method is proposed to overcome this difficulty. The method…

Computation · Statistics 2007-09-13 Jonathan Weare

Bayesian phylogenetic inference is currently done via Markov chain Monte Carlo (MCMC) with simple proposal mechanisms. This hinders exploration efficiency and often requires long runs to deliver accurate posterior estimates. In this paper,…

Machine Learning · Statistics 2024-05-24 Cheng Zhang , Frederick A. Matsen