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Finite mixture models are frequently used to uncover latent structures in high-dimensional datasets (e.g.\ identifying clusters of patients in electronic health records). The inference of such structures can be performed in a Bayesian…

Modern Bayesian inference involves a mixture of computational methods for estimating, validating, and drawing conclusions from probabilistic models as part of principled workflows. An overarching motif of many Bayesian methods is that they…

We develop an efficient Bayesian sequential inference framework for factor analysis models observed via various data types, such as continuous, binary and ordinal data. In the continuous data case, where it is possible to marginalise over…

Methodology · Statistics 2022-01-28 Konstantinos Vamvourellis , Konstantinos Kalogeropoulos , Irini Moustaki

Code-recommendation systems, such as Copilot and CodeWhisperer, have the potential to improve programmer productivity by suggesting and auto-completing code. However, to fully realize their potential, we must understand how programmers…

Software Engineering · Computer Science 2024-04-23 Hussein Mozannar , Gagan Bansal , Adam Fourney , Eric Horvitz

Probabilistic programming (PP) allows flexible specification of Bayesian statistical models in code. PyMC3 is a new, open-source PP framework with an intutive and readable, yet powerful, syntax that is close to the natural syntax…

Computation · Statistics 2015-07-30 John Salvatier , Thomas Wiecki , Christopher Fonnesbeck

We present a novel probabilistic programming framework that couples directly to existing large-scale simulators through a cross-platform probabilistic execution protocol, which allows general-purpose inference engines to record and control…

Integrated information theory provides a mathematical framework to fully characterize the cause-effect structure of a physical system. Here, we introduce PyPhi, a Python software package that implements this framework for causal analysis…

Neurons and Cognition · Quantitative Biology 2018-08-16 William G. P. Mayner , William Marshall , Larissa Albantakis , Graham Findlay , Robert Marchman , Giulio Tononi

Optimization is key to solve many problems in computational biology. Global optimization methods provide a robust methodology, and metaheuristics in particular have proven to be the most efficient methods for many applications. Despite…

Optimization and Control · Mathematics 2013-11-25 Jose A Egea , David Henriques , Thomas Cokelaer , Alejandro F Villaverde , Julio R Banga , Julio Saez-Rodriguez

Approximate Bayesian computation methods are useful for generative models with intractable likelihoods. These methods are however sensitive to the dimension of the parameter space, requiring exponentially increasing resources as this…

Computation · Statistics 2026-02-09 Grégoire Clarté , Christian P. Robert , Robin Ryder , Julien Stoehr

Bayesian regression remains a simple but effective tool based on Bayesian inference techniques. For large-scale applications, with complicated posterior distributions, Markov Chain Monte Carlo methods are applied. To improve the well-known…

Computation · Statistics 2020-09-28 Joris Tavernier , Jaak Simm , Adam Arany , Karl Meerbergen , Yves Moreau

Biclustering is an unsupervised machine-learning approach aiming to cluster rows and columns simultaneously in a data matrix. Several biclustering algorithms have been proposed for handling numeric datasets. However, real-world data mining…

Machine Learning · Computer Science 2024-08-26 Adán José-García , Julie Jacques , Clément Chauvet , Vincent Sobanski , Clarisse Dhaenens

The computational burden of probabilistic inference remains a hurdle for applying probabilistic programming languages to practical problems of interest. In this work, we provide a semantic and algorithmic foundation for efficient exact…

Programming Languages · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

The particle Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm to sample from the full posterior distribution of a state-space model. It does so by executing Gibbs sampling steps on an extended target distribution defined on the…

Computation · Statistics 2015-07-29 Nicolas Chopin , Sumeetpal S. Singh

A new particle-based sampling and approximate inference method, based on electrostatics and Newton mechanics principles, is introduced with theoretical ground, algorithm design and experimental validation. This method simulates an…

Artificial Intelligence · Computer Science 2024-07-01 Yongchao Huang

SMISS is a novel web server for protein function prediction. Three different predictors can be selected for different usage. It integrates different sources to improve the protein function prediction accuracy, including the query protein…

Genomics · Quantitative Biology 2016-07-06 Renzhi Cao , Zhaolong Zhong , Jianlin Cheng

We consider the problem of inferring the values of an arbitrary set of variables (e.g., risk of diseases) given other observed variables (e.g., symptoms and diagnosed diseases) and high-dimensional signals (e.g., MRI images or EEG). This is…

Machine Learning · Statistics 2019-02-07 Hao Wang , Chengzhi Mao , Hao He , Mingmin Zhao , Tommi S. Jaakkola , Dina Katabi

Consider a Bayesian inference problem where a variable of interest does not take values in a Euclidean space. These "non-standard" data structures are in reality fairly common. They are frequently used in problems involving latent discrete…

We propose the CliPS procedure when fitting Bayesian mixture models in the context of model-based clustering to identify the cluster distributions while simultaneously assessing the suitability of a cluster solution and validating the…

Methodology · Statistics 2026-03-03 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

Probabilistic programming systems enable users to encode model structure and naturally reason about uncertainties, which can be leveraged towards improved Bayesian optimization (BO) methods. Here we present a probabilistic program embedding…

Artificial Intelligence · Computer Science 2019-02-06 Alexander Lavin

Active inference is an account of cognition and behavior in complex systems which brings together action, perception, and learning under the theoretical mantle of Bayesian inference. Active inference has seen growing applications in…

Artificial Intelligence · Computer Science 2022-05-06 Conor Heins , Beren Millidge , Daphne Demekas , Brennan Klein , Karl Friston , Iain Couzin , Alexander Tschantz
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