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Nonlinear systems with model uncertainty are often described by stochastic differential equations. Some techniques from random dynamical systems are discussed. They are relevant to better understanding of solution processes of stochastic…

动力系统 · 数学 2008-11-25 Jinqiao Duan

The inability to correctly resolve rumours circulating online can have harmful real-world consequences. We present a method for incorporating model and data uncertainty estimates into natural language processing models for automatic rumour…

计算与语言 · 计算机科学 2020-05-15 Elena Kochkina , Maria Liakata

Prediction, where observed data is used to quantify uncertainty about a future observation, is a fundamental problem in statistics. Prediction sets with coverage probability guarantees are a common solution, but these do not provide…

统计理论 · 数学 2022-11-22 Leonardo Cella , Ryan Martin

Metamodels, or the regression analysis of Monte Carlo simulation results, provide a powerful tool to summarize simulation findings. However, an underutilized approach is the multilevel metamodel (MLMM) that accounts for the dependent data…

统计方法学 · 统计学 2025-11-21 Joshua Gilbert , Luke Miratrix

Psychiatric neuroscience is increasingly aware of the need to define psychopathology in terms of abnormal neural computation. The central tool in this endeavour is the fitting of computational models to behavioural data. The most prominent…

定量方法 · 定量生物学 2018-03-28 Abraham Nunes , Alexander Rudiuk

Bayesian inference with Markov Chain Monte Carlo (MCMC) is challenging when the likelihood function is irregular and expensive to compute. We explore several sampling algorithms that make use of subset evaluations to reduce computational…

机器学习 · 统计学 2025-05-16 Conor Rosato , Harvinder Lehal , Simon Maskell , Lee Devlin , Malcolm Strens

Encouraged by decision makers' appetite for future information on topics ranging from elections to pandemics, and enabled by the explosion of data and computational methods, model based forecasts have garnered increasing influence on a…

应用统计 · 统计学 2022-07-22 Carl Boettiger

Concept bottleneck models perform classification by first predicting which of a list of human provided concepts are true about a datapoint. Then a downstream model uses these predicted concept labels to predict the target label. The…

机器学习 · 计算机科学 2022-11-08 Joshua Lockhart , Nicolas Marchesotti , Daniele Magazzeni , Manuela Veloso

We present a novel method for reliably explaining the predictions of neural networks. We consider an explanation reliable if it identifies input features relevant to the model output by considering the input and the neighboring data points.…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Dohun Lim , Hyeonseok Lee , Sungchan Kim

Accurately estimating uncertainties in neural network predictions is of great importance in building trusted DNNs-based models, and there is an increasing interest in providing accurate uncertainty estimation on many tasks, such as security…

机器学习 · 计算机科学 2020-07-14 Yukun Ding , Jinglan Liu , Jinjun Xiong , Yiyu Shi

Hidden variable graphical models can sometimes imply constraints on the observable distribution that are more complex than simple conditional independence relations. These observable constraints can falsify assumptions of the model that…

统计方法学 · 统计学 2026-05-12 Michael C. Sachs , Erin E. Gabriel , Robin J. Evans , Arvid Sjölander

With the wide adoption of machine learning techniques, requirements have evolved beyond sheer high performance, often requiring models to be trustworthy. A common approach to increase the trustworthiness of such systems is to allow them to…

机器学习 · 计算机科学 2023-11-16 Andrea Pugnana , Carlos Mougan , Dan Saattrup Nielsen

Non-probabilistic convex model utilizes a convex set to quantify the uncertainty domain of uncertain-but-bounded parameters, which is very effective for structural uncertainty analysis with limited or poor-quality experimental data. To…

其他统计学 · 统计学 2018-01-18 Ni Bingyu , Jiang Chao , Huang Zhiliang

We consider high-dimensional inference when the assumed linear model is misspecified. We describe some correct interpretations and corresponding sufficient assumptions for valid asymptotic inference of the model parameters, which still have…

统计方法学 · 统计学 2015-08-20 Peter Bühlmann , Sara van de Geer

The difficulty intrinsic to a given example, rooted in its inherent ambiguity, is a key yet often overlooked factor in evaluating neural NLP models. We investigate the interplay and divergence among various metrics for assessing intrinsic…

计算与语言 · 计算机科学 2025-03-04 Timothee Mickus , Aman Sinha , Raúl Vázquez

How does the extent to which a model is open or closed impact the scientific inferences that can be drawn from research that involves it? In this paper, we analyze how restrictions on information about model construction and deployment…

We consider the problem of setting confidence intervals on a parameter of interest from the maximum-likelihood fit of a physics model to a binned data set with a large number of bins, large event-counts per bin, and in the presence of…

数据分析、统计与概率 · 物理学 2026-02-09 Cristina-Andreea Alexe , Joshua Bendavid , Lorenzo Bianchini , Davide Bruschini

Trustworthy language models should abstain from answering questions when they do not know the answer. However, the answer to a question can be unknown for a variety of reasons. Prior research has focused on the case in which the question is…

Traditionally regression analysis answers questions about the relationships among variables based on the assumption that the observation values of variables are precise numbers. It has long been dominated by least squares techniques, mostly…

统计理论 · 数学 2018-12-06 Zhe Liu

Statistical samples, in order to be representative, have to be drawn from a population in a random and unbiased way. Nevertheless, it is common practice in the field of model-based diagnosis to make estimations from (biased) best-first…

人工智能 · 计算机科学 2022-08-05 Patrick Rodler , Fatima Elichanova