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Variable importance (VI) tools describe how much covariates contribute to a prediction model's accuracy. However, important variables for one well-performing model (for example, a linear model $f(\mathbf{x})=\mathbf{x}^{T}\beta$ with a…

Methodology · Statistics 2019-12-24 Aaron Fisher , Cynthia Rudin , Francesca Dominici

Explanation methods help understand the reasons for a model's prediction. These methods are increasingly involved in model debugging, performance optimization, and gaining insights into the workings of a model. With such critical…

Machine Learning · Computer Science 2025-04-16 Mihir Mulye , Matias Valdenegro-Toro

As input data distributions evolve, the predictive performance of machine learning models tends to deteriorate. In the past, predictive performance was considered the key indicator to monitor. However, explanation aspects have come to…

Machine Learning · Computer Science 2022-10-25 Carlos Mougan , Klaus Broelemann , Gjergji Kasneci , Thanassis Tiropanis , Steffen Staab

With the rise of increasingly powerful and user-facing NLP systems, there is growing interest in assessing whether they have a good representation of uncertainty by evaluating the quality of their predictive distribution over outcomes. We…

Computation and Language · Computer Science 2024-02-27 Joris Baan , Raquel Fernández , Barbara Plank , Wilker Aziz

A Bayesian treatment of deep learning allows for the computation of uncertainties associated with the predictions of deep neural networks. We show how the concept of Errors-in-Variables can be used in Bayesian deep regression to also…

Machine Learning · Computer Science 2023-05-15 Jörg Martin , Clemens Elster

The incorporation of unlabeled data in regression and classification analysis is an increasing focus of the applied statistics and machine learning literatures, with a number of recent examples demonstrating the potential for unlabeled data…

Methodology · Statistics 2009-09-29 Feng Liang , Sayan Mukherjee , Mike West

Interpreting data with mathematical models is an important aspect of real-world industrial and applied mathematical modeling. Often we are interested to understand the extent to which a particular set of data informs and constrains model…

Methodology · Statistics 2025-03-06 Matthew J Simpson , Ruth E Baker

One of the ways to make artificial intelligence more natural is to give it some room for doubt. Two main questions should be resolved in that way. First, how to train a model to estimate uncertainties of its own predictions? And then, what…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Alexey Kornaev , Elena Kornaeva , Oleg Ivanov , Ilya Pershin , Danis Alukaev

Contemporary predictive models are hard to interpret as their deep nets exploit numerous complex relations between input elements. This work suggests a theoretical framework for model interpretability by measuring the contribution of…

Machine Learning · Computer Science 2022-06-15 Itai Gat , Nitay Calderon , Roi Reichart , Tamir Hazan

Mathematical models are invaluable for understanding and predicting how biological systems behave, although their construction requires specifying mechanisms and relationships that are often not perfectly known. In the presence of multiple…

Predictive uncertainties in classification tasks are often a consequence of model inadequacy or insufficient training data. In popular applications, such as image processing, we are often required to scrutinise these uncertainties by…

Machine Learning · Computer Science 2022-11-10 Iker Perez , Piotr Skalski , Alec Barns-Graham , Jason Wong , David Sutton

Interpretable machine learning has become a very active area of research due to the rising popularity of machine learning algorithms and their inherently challenging interpretability. Most work in this area has been focused on the…

Machine Learning · Statistics 2023-11-09 Quay Au , Julia Herbinger , Clemens Stachl , Bernd Bischl , Giuseppe Casalicchio

For safe and reliable deployment in the real world, autonomous agents must elicit appropriate levels of trust from human users. One method to build trust is to have agents assess and communicate their own competencies for performing given…

Robotics · Computer Science 2022-06-22 Aastha Acharya , Rebecca Russell , Nisar R. Ahmed

Assessing uncertainty is an important step towards ensuring the safety and reliability of machine learning systems. Existing uncertainty estimation techniques may fail when their modeling assumptions are not met, e.g. when the data…

Machine Learning · Computer Science 2017-01-24 Volodymyr Kuleshov , Stefano Ermon

Predictive models deployed in the real world may assign incorrect labels to instances with high confidence. Such errors or unknown unknowns are rooted in model incompleteness, and typically arise because of the mismatch between training…

Artificial Intelligence · Computer Science 2016-12-13 Himabindu Lakkaraju , Ece Kamar , Rich Caruana , Eric Horvitz

A standard approach to computing expectations with respect to a given target measure is to introduce an overdamped Langevin equation which is reversible with respect to the target distribution, and to approximate the expectation by a…

Numerical Analysis · Mathematics 2016-04-20 A. B. Duncan , T. Lelievre , G. A. Pavliotis

We use the law of total variance to generate multiple expansions for the posterior predictive variance. These expansions are sums of terms involving conditional expectations and conditional variances and provide a quantification of the…

Statistics Theory · Mathematics 2026-03-23 Sanjay Chaudhuri , Dean Dustin , Bertrand Clarke

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

ML models have errors when used for predictions. The errors are unknown but can be quantified by model uncertainty. When multiple ML models are trained using the same training points, their model uncertainties may be statistically…

Machine Learning · Statistics 2025-09-23 Xiaoping Du

In recent years, probabilistic forecasts techniques were proposed in research as well as in applications to integrate volatile renewable energy resources into the electrical grid. These techniques allow decision makers to take the…

Machine Learning · Statistics 2024-10-30 Jens Schreiber , Bernhard Sick