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Approximate Bayesian inference for the class of latent Gaussian models can be achieved efficiently with integrated nested Laplace approximations (INLA). Based on recent reformulations in the INLA methodology, we propose a further extension…

Methodology · Statistics 2025-02-27 Shourya Dutta , Janet van Niekerk , Haavard Rue

The recent performance leap of Large Language Models (LLMs) opens up new opportunities across numerous industrial applications and domains. However, erroneous generations, such as false predictions, misinformation, and hallucination made by…

Software Engineering · Computer Science 2025-01-07 Yuheng Huang , Jiayang Song , Zhijie Wang , Shengming Zhao , Huaming Chen , Felix Juefei-Xu , Lei Ma

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

Machine Learning · Computer Science 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

While the Large Language Models (LLMs) dominate a majority of language understanding tasks, previous work shows that some of these results are supported by modelling spurious correlations of training datasets. Authors commonly assess model…

Computation and Language · Computer Science 2024-02-07 Lukáš Mikula , Michal Štefánik , Marek Petrovič , Petr Sojka

We consider the problem of robust inference under the generalized linear model (GLM) with stochastic covariates. We derive the properties of the minimum density power divergence estimator of the parameters in GLM with random design and use…

Methodology · Statistics 2020-04-06 Ayanendranath Basu , Abhik Ghosh , Abhijit Mandal , Nirian Martin , Leandro Pardo

Large Language Models (LLMs) are being applied in a wide array of settings, well beyond the typical language-oriented use cases. In particular, LLMs are increasingly used as a plug-and-play method for fitting data and generating…

Machine Learning · Computer Science 2025-10-29 Hejia Liu , Mochen Yang , Gediminas Adomavicius

Reliable uncertainty quantification is a central challenge in the analysis of modern biomedical data, where complex sources of variability often violate standard modeling assumptions. In generalized linear models (GLMs), confidence…

Methodology · Statistics 2026-05-06 Andrea Panarotto , Riccardo De Santis , Livio Finos

Debiasing group graphical lasso estimates enables statistical inference when multiple Gaussian graphical models share a common sparsity pattern. We analyze the estimation properties of group graphical lasso, establishing convergence rates…

Statistics Theory · Mathematics 2025-10-07 Sayan Ranjan Bhowal , Debashis Paul , Gopal K Basak , Samarjit Das

Language Models (LMs) have shown promising performance in natural language generation. However, as LMs often generate incorrect or hallucinated responses, it is crucial to correctly quantify their uncertainty in responding to given inputs.…

Computation and Language · Computer Science 2024-09-17 Xinmeng Huang , Shuo Li , Mengxin Yu , Matteo Sesia , Hamed Hassani , Insup Lee , Osbert Bastani , Edgar Dobriban

Large Multimodal Models (LMMs) such as GPT-4V and LLaVA have shown remarkable capabilities in visual reasoning with common image styles. However, their robustness against diverse style shifts, crucial for practical applications, remains…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Rizhao Cai , Zirui Song , Dayan Guan , Zhenhao Chen , Xing Luo , Chenyu Yi , Alex Kot

Large language models (LLMs) are increasingly used to simulate human behavior, but common practices to use LLM-generated data are inefficient. Treating an LLM's output ("model choice") as a single data point underutilizes the information…

Artificial Intelligence · Computer Science 2025-12-30 Hongshen Sun , Juanjuan Zhang

As large language models (LLMs) continue to evolve, understanding and quantifying the uncertainty in their predictions is critical for enhancing application credibility. However, the existing literature relevant to LLM uncertainty…

Computation and Language · Computer Science 2024-10-22 Hsiu-Yuan Huang , Yutong Yang , Zhaoxi Zhang , Sanwoo Lee , Yunfang Wu

Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by…

Methodology · Statistics 2017-02-23 Jeffrey J. Gory , Peter F. Craigmile , Steven N. MacEachern

Large Multimodal Models (LMMs) are increasingly applied to scientific research, yet it remains unclear whether they can reliably understand and reason over the multimodal complexity of papers. A central challenge lies in detecting and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Lukas Selch , Yufang Hou , M. Jehanzeb Mirza , Sivan Doveh , James Glass , Rogerio Feris , Wei Lin

Generative Adversarial Networks (GANs) have become a popular method to learn a probability model from data. In this paper, we aim to provide an understanding of some of the basic issues surrounding GANs including their formulation,…

Machine Learning · Statistics 2018-10-23 Soheil Feizi , Farzan Farnia , Tony Ginart , David Tse

It can be difficult to assess the quality of a fitted model when facing unsupervised learning problems. Latent variable models, such as variation autoencoders and Gaussian mixture models, are often trained with likelihood-based approaches.…

Machine Learning · Computer Science 2023-06-16 Cédric Beaulac

We propose a family of tests to assess the goodness-of-fit of a high-dimensional generalized linear model. Our framework is flexible and may be used to construct an omnibus test or directed against testing specific non-linearities and…

Methodology · Statistics 2019-11-14 Jana Janková , Rajen D. Shah , Peter Bühlmann , Richard J. Samworth

We introduce a new copula-based correction for generalized linear mixed models (GLMMs) within the integrated nested Laplace approximation (INLA) approach for approximate Bayesian inference for latent Gaussian models. While INLA is usually…

Computation · Statistics 2015-12-16 Egil Ferkingstad , Håvard Rue

Large language models (LLMs) often present answers with high apparent confidence despite lacking an explicit mechanism for reasoning about certainty or truth. While existing benchmarks primarily evaluate single-turn accuracy, truthfulness…

Computation and Language · Computer Science 2026-03-05 Mohammadreza Saadat , Steve Nemzer
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