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Approximate Bayesian Computation (ABC) is a family of statistical inference techniques, which is increasingly used in biology and other scientific fields. Its main benefit is to be applicable to models for which the computation of the model…

Quantitative Methods · Quantitative Biology 2014-12-25 Franck Jabot , Guillaume Lagarrigues , Benoît Courbaud , Nicolas Dumoulin

Despite the rapid expansion of Large Language Models (LLMs) in healthcare, robust and explainable evaluation of their ability to assess clinical trial reporting according to CONSORT standards remains an open challenge. In particular,…

Artificial Intelligence · Computer Science 2026-02-26 Sohyeon Jeon , Hyung-Chul Lee

Likelihood-free methods such as approximate Bayesian computation (ABC) have extended the reach of statistical inference to problems with computationally intractable likelihoods. Such approaches perform well for small-to-moderate dimensional…

Computation · Statistics 2019-06-12 G. S. Rodrigues , D. J. Nott , S. A. Sisson

Given the complexity of modern cosmological parameter inference where we are faced with non-Gaussian data and noise, correlated systematics and multi-probe correlated data sets, the Approximate Bayesian Computation (ABC) method is a…

Instrumentation and Methods for Astrophysics · Physics 2017-03-08 Elise Jennings , Maeve Madigan

Large Language Models (LLMs) exhibit strong performance across various natural language processing (NLP) tasks but remain vulnerable to hallucinations, generating factually incorrect or misleading outputs. Uncertainty estimation, often…

Machine Learning · Computer Science 2025-11-12 Manh Nguyen , Sunil Gupta , Hung Le

Although large language models (LLMs) are highly interactive and extendable, current approaches to ensure reliability in deployments remain mostly limited to rejecting outputs with high uncertainty in order to avoid misinformation. This…

Machine Learning · Computer Science 2025-06-10 T. Duy Nguyen-Hien , Desi R. Ivanova , Yee Whye Teh , Wee Sun Lee

Approximate Bayesian Computation (ABC) methods have become essential tools for performing inference when likelihood functions are intractable or computationally prohibitive. However, their scalability remains a major challenge in…

Methodology · Statistics 2025-07-09 Antoine Luciano , Charly Andral , Christian P. Robert , Robin J. Ryder

Approximate Bayesian Computational (ABC) methods (or likelihood-free methods) have appeared in the past fifteen years as useful methods to perform Bayesian analyses when the likelihood is analytically or computationally intractable. Several…

Methodology · Statistics 2012-05-01 Meili Baragatti , Agnès Grimaud , Denys Pommeret

Large language models (LLMs) are being explored for diagnostic decision support, yet their ability to estimate pre-test probabilities, vital for clinical decision-making, remains limited. This study evaluates two LLMs, Mistral-7B and…

Large Language Models (LLMs) demonstrate strong few-shot generalization through in-context learning, yet their reasoning in dynamic and stochastic environments remains opaque. Prior studies mainly focus on static tasks and overlook the…

Artificial Intelligence · Computer Science 2025-12-23 Jensen Zhang , Jing Yang , Keze Wang

Handling graph data is one of the most difficult tasks. Traditional techniques, such as those based on geometry and matrix factorization, rely on assumptions about the data relations that become inadequate when handling large and complex…

Machine Learning · Computer Science 2024-04-15 Zhenyu Qian , Yiming Qian , Yuting Song , Fei Gao , Hai Jin , Chen Yu , Xia Xie

As LLM-based judges become integral to industry applications, obtaining well-calibrated uncertainty estimates efficiently has become critical for production deployment. However, existing techniques, such as verbalized confidence and…

Machine Learning · Computer Science 2025-12-30 Bhaktipriya Radharapu , Eshika Saxena , Kenneth Li , Chenxi Whitehouse , Adina Williams , Nicola Cancedda

A new Approximate Bayesian Computation (ABC) algorithm for Bayesian updating of model parameters is proposed in this paper, which combines the ABC principles with the technique of Subset Simulation for efficient rare-event simulation, first…

Computation · Statistics 2014-04-25 Manuel Chiachio , James L. Beck , Juan Chiachio , Guillermo Rus

Uncertainty quantification (UQ) methods for Large Language Models (LLMs) encompass a variety of approaches, with two major types being particularly prominent: information-based, which focus on model confidence expressed as token…

Computation and Language · Computer Science 2025-12-10 Roman Vashurin , Maiya Goloburda , Albina Ilina , Aleksandr Rubashevskii , Preslav Nakov , Artem Shelmanov , Maxim Panov

Autoregressive Large Language Models (LLMs) trained for next-word prediction have demonstrated remarkable proficiency at producing coherent text. But are they equally adept at forming coherent probability judgments? We use probabilistic…

Computation and Language · Computer Science 2025-05-07 Jian-Qiao Zhu , Thomas L. Griffiths

We propose a novel approach for solving inverse-problems with high-dimensional inputs and an expensive forward mapping. It leverages joint deep generative modelling to transfer the original problem spaces to a lower dimensional latent…

Methodology · Statistics 2021-04-19 Eliane Maalouf , David Ginsbourger , Niklas Linde

Objective: This study investigates the potential of Large Language Models (LLMs) as an alternative to human expert elicitation for extracting structured causal knowledge and facilitating causal modeling in biometric and healthcare…

Artificial Intelligence · Computer Science 2025-04-15 Olha Shaposhnyk , Daria Zahorska , Svetlana Yanushkevich

The power of fuzz testing lies in its random, often brute-force, generation and execution of inputs to trigger unexpected behaviors and vulnerabilities in software applications. However, given the reality of infinite possible input…

Software Engineering · Computer Science 2024-04-10 Chris Vaisnor

Likelihood-free inference provides a rigorous approach to preform Bayesian analysis using forward simulations only. The main advantage of likelihood-free methods is its ability to account for complex physical processes and observational…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-09 Sut-Ieng Tam , Keiichi Umetsu , Adam Amara

Understanding how genetically encoded rules drive and guide complex neuronal growth processes is essential to comprehending the brain's architecture, and agent-based models (ABMs) offer a powerful simulation approach to further develop this…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Tobias Duswald , Lukas Breitwieser , Thomas Thorne , Barbara Wohlmuth , Roman Bauer