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Topological features of gene regulatory networks can be successfully reproduced by a model population evolving under selection for short dynamical attractors. The evolved population of networks exhibit motif statistics, summarized by…

Molecular Networks · Quantitative Biology 2016-08-11 Burçin Danacı , Mehmet Ali Anıl , Ayşe Erzan

Frequent and structurally related subgraphs, also known as network motifs, are valuable features of many graph datasets. However, the high computational complexity of identifying motif sets in arbitrary datasets (motif mining) has limited…

Machine Learning · Computer Science 2022-06-08 Carlos Oliver , Dexiong Chen , Vincent Mallet , Pericles Philippopoulos , Karsten Borgwardt

We introduce and study the problem of detecting whether an agent is updating their prior beliefs given new evidence in an optimal way that is Bayesian, or whether they are biased towards their own prior. In our model, biased agents form…

Computer Science and Game Theory · Computer Science 2024-10-31 Yiling Chen , Tao Lin , Ariel D. Procaccia , Aaditya Ramdas , Itai Shapira

By providing a framework of accounting for the shared ancestry inherent to all life, phylogenetics is becoming the statistical foundation of biology. The importance of model choice continues to grow as phylogenetic models continue to…

Populations and Evolution · Quantitative Biology 2019-02-05 Jamie R. Oaks , Kerry A. Cobb , Vladimir N. Minin , Adam D. Leaché

Motif extraction is an important task in motif based molecular representation learning. Previously, machine learning approaches employing either rule-based or string-based techniques to extract motifs. Rule-based approaches may extract…

Quantitative Methods · Quantitative Biology 2023-12-27 Zhaoning Yu , Hongyang Gao

We propose a new method for conducting Bayesian prediction that delivers accurate predictions without correctly specifying the unknown true data generating process. A prior is defined over a class of plausible predictive models. After…

Methodology · Statistics 2020-08-24 Ruben Loaiza-Maya , Gael M. Martin , David T. Frazier

Identifying latent structure in large data matrices is essential for exploring biological processes. Here, we consider recovering gene co-expression networks from gene expression data, where each network encodes relationships between genes…

Methodology · Statistics 2014-11-10 Chuan Gao , Shiwen Zhao , Ian C. McDowell , Christopher D. Brown , Barbara E. Engelhardt

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

Machine Learning · Computer Science 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

Recent decades have seen an interest in prediction problems for which Bayesian methodology has been used ubiquitously. Sampling from or approximating the posterior predictive distribution in a Bayesian model allows one to make inferential…

Machine Learning · Statistics 2017-09-12 Giri Gopalan

In this paper we aim at investigating whether barcode sequence features can predict the read count ambiguities caused during PCR based next generation sequencing techniques. The methodologies we used are mutual information based motif…

Computational Engineering, Finance, and Science · Computer Science 2014-02-28 Chandrima Sarkar , Raamesh Deshpande , Chad Myers

Learning predictors that do not rely on spurious correlations involves building causal representations. However, learning such a representation is very challenging. We, therefore, formulate the problem of learning a causal representation…

While there have been a lot of recent developments in the context of Bayesian model selection and variable selection for high dimensional linear models, there is not much work in the presence of change point in literature, unlike the…

Methodology · Statistics 2021-02-26 Nilabja Guha , Jyotishka Datta

We overview Bayesian estimation, hypothesis testing, and model-averaging and illustrate how they benefit parametric survival analysis. We contrast the Bayesian framework to the currently dominant frequentist approach and highlight…

Methodology · Statistics 2022-09-13 František Bartoš , Frederik Aust , Julia M. Haaf

We introduce a novel method to screen the promoters of a set of genes with shared biological function, against a precompiled library of motifs, and find those motifs which are statistically over-represented in the gene set. The gene sets…

Molecular Networks · Quantitative Biology 2008-11-11 Yuval Tabach , Ran Brosh , Yossi Buganim , Anat Reiner , Or Zuk , Assif Yitzhaky , Mark Koudritsky , Varda Rotter , Eytan Domany

Although discrete mixture modeling has formed the backbone of the literature on Bayesian density estimation, there are some well known disadvantages. We propose an alternative class of priors based on random nonlinear functions of a uniform…

Statistics Theory · Mathematics 2015-03-19 Suprateek Kundu , David B. Dunson

Estimating the expected value of a graph statistic is an important inference task for using and learning graph models. This note presents a scalable estimation procedure for expected motif counts, a widely used type of graph statistic. The…

Machine Learning · Computer Science 2023-05-03 Oliver Schulte

A common problem in natural sciences is the comparison of competing models in the light of observed data. Bayesian model comparison provides a statistically sound framework for this comparison based on the evidence each model provides for…

Machine Learning · Statistics 2022-03-23 Jan Boelts

We develop a new Gibbs sampler for a linear mixed model with a Dirichlet process random effect term, which is easily extended to a generalized linear mixed model with a probit link function. Our Gibbs sampler exploits the properties of the…

Statistics Theory · Mathematics 2010-02-26 Minjung Kyung , Jeff Gill , George Casella

Gene regulatory networks play a crucial role in controlling an organism's biological processes, which is why there is significant interest in developing computational methods that are able to extract their structure from high-throughput…

Machine Learning · Statistics 2018-09-19 Ioan Gabriel Bucur , Tom van Bussel , Tom Claassen , Tom Heskes

The search for patterns or motifs in data represents a problem area of key interest to finance and economic researchers. In this paper we introduce the Motif Tracking Algorithm, a novel immune inspired pattern identification tool that is…

Artificial Intelligence · Computer Science 2010-07-05 William Wilson , Philip Birkin , Uwe Aickelin
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