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In this work, we adopt a general framework based on the Gibbs posterior to update belief distributions for inverse problems governed by partial differential equations (PDEs). The Gibbs posterior formulation is a generalization of standard…

Computation · Statistics 2019-07-04 Zilong Zou , Sayan Mukherjee , Harbir Antil , Wilkins Aquino

Bayesian predictive probabilities are commonly used for interim monitoring of clinical trials through efficacy and futility stopping rules. Despite their usefulness, calculation of predictive probabilities, particularly in pre-experiment…

Applications · Statistics 2024-06-18 Joe Marion , Liz Lorenzi , Cora Allen-Savietta , Scott Berry , Kert Viele

Bilinear inverse problems (BIPs), the resolution of two vectors given their image under a bilinear mapping, arise in many applications. Without further constraints, BIPs are usually ill-posed. In practice, properties of natural signals are…

Information Theory · Computer Science 2015-01-27 Yanjun Li , Kiryung Lee , Yoram Bresler

In this report, we present functional models for software and hardware components of Time-Triggered Systems on a Chip (TTSoC). These are modeled in the asynchronous component based language BIP. We demonstrate the usability of our…

Software Engineering · Computer Science 2011-09-27 Jan Olaf Blech , Benoit Boyer , Thanh Hung Nguyen

Biclustering is a data mining technique which searches for local patterns in numeric tabular data with main application in bioinformatics. This technique has shown promise in multiple areas, including development of biomarkers for cancer,…

Machine Learning · Computer Science 2021-05-05 Paweł Renc , Patryk Orzechowski , Aleksander Byrski , Jarosław Wąs , Jason H. Moore

GPTIPS is a free, open source MATLAB based software platform for symbolic data mining (SDM). It uses a multigene variant of the biologically inspired machine learning method of genetic programming (MGGP) as the engine that drives the…

Mathematical Software · Computer Science 2015-05-25 Dominic P. Searson

Study reproducibility is essential to corroborate, build on, and learn from the results of scientific research but is notoriously challenging in bioinformatics, which often involves large data sets and complex analytic workflows involving…

Quantitative Methods · Quantitative Biology 2023-05-22 Christopher R. Keefe , Matthew R. Dillon , Chloe Herman , Mary Jewell , Colin V. Wood , Evan Bolyen , J. Gregory Caporaso

The BayesBinMix package offers a Bayesian framework for clustering binary data with or without missing values by fitting mixtures of multivariate Bernoulli distributions with an unknown number of components. It allows the joint estimation…

Computation · Statistics 2017-07-03 Panagiotis Papastamoulis , Magnus Rattray

BAYES-LIN is an extension of the LISP-STAT object-oriented statistical computing environment, which adds to LISP-STAT some object prototypes appropriate for carrying out local computation via message-passing between clique-tree nodes of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Darren J Wilkinson

Biological data sets are often high-dimensional, noisy, and governed by complex interactions among sparse signals. This poses major challenges for interpretability and reliable feature selection. Tasks such as identifying motif interactions…

Methodology · Statistics 2025-11-20 Marta S. Lemanczyk , Lucas Kock , Johanna Schlimme , Nadja Klein , Bernhard Y. Renard

Background: Coevolution within a protein family is often predicted using statistics that measure the degree of covariation between positions in the protein sequence. Mutual Information is a measure of dependence between two random variables…

Populations and Evolution · Quantitative Biology 2013-04-17 Russell J. Dickson , Gregory B. Gloor

We demonstrate the use of automatic Bayesian inference for the analysis of LISA data sets. In particular we describe a new automatic Reversible Jump Markov Chain Monte Carlo method to evaluate the posterior probability density functions of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Stroeer , Jonathan Gair , Alberto Vecchio

Liesel is a new probabilistic programming framework developed with the aim of supporting research on Bayesian inference based on Markov chain Monte Carlo (MCMC) simulations in general and semi-parametric regression specifications in…

Computation · Statistics 2023-12-01 Hannes Riebl , Paul F. V. Wiemann , Thomas Kneib

In this paper we introduce the first application of the Belief Propagation (BP) algorithm in the design of recommender systems. We formulate the recommendation problem as an inference problem and aim to compute the marginal probability…

Machine Learning · Computer Science 2012-09-25 Erman Ayday , Arash Einolghozati , Faramarz Fekri

Probabilistic programs are key to deal with uncertainty in e.g. controller synthesis. They are typically small but intricate. Their development is complex and error prone requiring quantitative reasoning over a myriad of alternative…

Software Engineering · Computer Science 2019-04-30 Milan Češka , Christian Hensel , Sebastian Junges , Joost-Pieter Katoen

Inference and testing in general point process models such as the Hawkes model is predominantly based on asymptotic approximations for likelihood-based estimators and tests. As an alternative, and to improve finite sample performance, this…

Econometrics · Economics 2021-09-22 Giuseppe Cavaliere , Ye Lu , Anders Rahbek , Jacob Stærk-Østergaard

We introduce a natural language interface for building stochastic pi calculus models of biological systems. In this language, complex constructs describing biochemical events are built from basic primitives of association, dissociation and…

Programming Languages · Computer Science 2009-11-13 Ozan Kahramanoğullari , Luca Cardelli , Emmanuelle Caron

The Bluebild algorithm is a new technique for image synthesis in radio astronomy which decomposes the sky into distinct energy levels using functional principal component analysis. These levels can be linearly combined to construct a…

Instrumentation and Methods for Astrophysics · Physics 2025-01-30 Emma Tolley , Simon Frasch , Etienne Orliac , Shreyam Krishna , Michele Bianco , Sepand Kashani , Paul Hurley , Matthieu Simeoni , Jean-Paul Kneib

Neural simulation-based inference (SBI) describes an emerging family of methods for Bayesian inference with intractable likelihood functions that use neural networks as surrogate models. Here we introduce sbijax, a Python package that…

Machine Learning · Computer Science 2026-03-23 Simon Dirmeier , Antonietta Mira , Carlo Albert

The set of externally visible properties associated with process variables in the Experimental Physics and Industrial Control System (EPICS) is predefined in the EPICS base distribution and is therefore not extensible by plug-compatible…

Networking and Internet Architecture · Computer Science 2007-05-23 J. Hill , R. Lange