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Gibbs sampling is the de facto Markov chain Monte Carlo method used for inference and learning on large scale graphical models. For complicated factor graphs with lots of factors, the performance of Gibbs sampling can be limited by the…

Machine Learning · Computer Science 2018-06-19 Christopher De Sa , Vincent Chen , Wing Wong

We present an R package bssm for Bayesian non-linear/non-Gaussian state space modelling. Unlike the existing packages, bssm allows for easy-to-use approximate inference based on Gaussian approximations such as the Laplace approximation and…

Computation · Statistics 2022-04-13 Jouni Helske , Matti Vihola

As with the advancement of geographical information systems, non-Gaussian spatial data sets are getting larger and more diverse. This study develops a general framework for fast and flexible non-Gaussian regression, especially for…

Methodology · Statistics 2021-06-23 Daisuke Murakami , Mami Kajita , Seiji Kajita , Tomoko Matsui

Neural networks have become a popular tool in predictive modelling, more commonly associated with machine learning and artificial intelligence than with statistics. Generalised Additive Models (GAMs) are flexible non-linear statistical…

Machine Learning · Statistics 2026-01-06 Jessica Doohan , Lucas Kook , Kevin Burke

We describe some progress towards a new common framework for model driven engineering, based on behavioral programming. The tool we have developed unifies almost all of the work done in behavioral programming so far, under a common set of…

Software Engineering · Computer Science 2018-06-05 Michael Bar-Sinai , Gera Weiss , Reut Shmuel

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

GUI agents powered by vision-language models (VLMs) show promise in automating complex digital tasks. However, their effectiveness in real-world applications is often limited by scarce training data and the inherent complexity of these…

Computation and Language · Computer Science 2025-09-30 Ran Xu , Kaixin Ma , Wenhao Yu , Hongming Zhang , Joyce C. Ho , Carl Yang , Dong Yu

We describe the open-source global fitting package GAMBIT: the Global And Modular Beyond-the-Standard-Model Inference Tool. GAMBIT combines extensive calculations of observables and likelihoods in particle and astroparticle physics with a…

Generalized additive partial linear models (GAPLMs) are appealing for model interpretation and prediction. However, for GAPLMs, the covariates and the degree of smoothing in the nonparametric parts are often difficult to determine in…

Methodology · Statistics 2022-12-06 Ze Chen , Jun Liao , Wangli Xu , Yuhong Yang

Reversible jump Markov chain Monte Carlo (RJMCMC) extends ordinary MCMC methods for use in Bayesian multimodel inference. We show that RJMCMC can be implemented as Gibbs sampling with alternating updates of a model indicator and a…

Computation · Statistics 2011-05-27 Richard J. Barker , William A. Link

Deployment of machine learning models in real high-risk settings (e.g. healthcare) often depends not only on the model's accuracy but also on its fairness, robustness, and interpretability. Generalized Additive Models (GAMs) are a class of…

Machine Learning · Computer Science 2022-03-17 Chun-Hao Chang , Rich Caruana , Anna Goldenberg

In M-open problems where no true model can be conceptualized, it is common to back off from modeling and merely seek good prediction. Even in M-complete problems, taking a predictive approach can be very useful. Stacking is a model…

Statistics Theory · Mathematics 2016-02-17 Tri Le , Bertrand Clarke

Agentic Retrieval-Augmented Generation (RAG) empowers large language models to autonomously plan and retrieve information for complex problem-solving. However, the development of robust agents is hindered by the scarcity of high-quality…

Computation and Language · Computer Science 2026-01-14 Zhengwei Tao , Bo Li , Jialong Wu , Guochen Yan , Huanyao Zhang , Jiahao Xu , Haitao Mi , Wentao Zhang

Modeling spatial processes that exhibit both smooth and rough features poses a significant challenge. This is especially true in fields where complex physical variables are observed across spatial domains. Traditional spatial techniques,…

Methodology · Statistics 2024-10-30 Matthew Hofkes , Douglas Nychka

Selecting interpretable feature sets in underdetermined ($n \ll p$) and highly correlated regimes constitutes a fundamental challenge in data science, particularly when analyzing physical measurements. In such settings, multiple distinct…

Machine Learning · Computer Science 2026-02-10 Kateřina Henclová , Václav Šmídl

A graphical model is an undirected network representing the conditional independence properties between random variables. Graphical modeling has become part and parcel of systems or network approaches to multivariate data, in particular…

Methodology · Statistics 2024-08-20 Carel F. W. Peeters , Anders Ellern Bilgrau , Wessel N. van Wieringen

We introduce an R package for fitting Stable Isotope Mixing Models (SIMMs) via both Markov chain Monte Carlo and Variational Bayes. The package is mainly used for estimating dietary contributions from food sources taken via measurements of…

Applications · Statistics 2023-06-14 Emma Govan , Andrew L. Jackson , Richard Inger , Stuart Bearhop , Andrew C. Parnell

We study generalised additive models, with shape restrictions (e.g. monotonicity, convexity, concavity) imposed on each component of the additive prediction function. We show that this framework facilitates a nonparametric estimator of each…

Statistics Theory · Mathematics 2014-04-14 Yining Chen , Richard J. Samworth

Due to the widespread use of complex machine learning models in real-world applications, it is becoming critical to explain model predictions. However, these models are typically black-box deep neural networks, explained post-hoc via…

Machine Learning · Computer Science 2022-10-20 Filip Radenovic , Abhimanyu Dubey , Dhruv Mahajan

The numerical simulation of structural mechanics applications via finite elements usually requires the solution of large-size and ill-conditioned linear systems, especially when accurate results are sought for derived variables interpolated…

Numerical Analysis · Mathematics 2019-06-26 Andrea Franceschini , Victor A. Paludetto Magri , Gianluca Mazzucco , Nicolò Spiezia , Carlo Janna