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Mathematical models are routinely applied to interpret biological data, with common goals that include both prediction and parameter estimation. A challenge in mathematical biology, in particular, is that models are often complex and…

Methodology · Statistics 2025-11-18 Alexander P Browning , Jennifer A Flegg , Ryan J Murphy

Generalized linear models (GLMs) are popular for data-analysis in almost all quantitative sciences, but the choice of likelihood family and link function is often difficult. This motivates the search for likelihoods and links that minimize…

Methodology · Statistics 2024-03-19 Maximilian Scholz , Paul-Christian Bürkner

When using machine learning for imbalanced binary classification problems, it is common to subsample the majority class to create a (more) balanced training dataset. This biases the model's predictions because the model learns from data…

Machine Learning · Computer Science 2025-11-03 Nathan Phelps , Daniel J. Lizotte , Douglas G. Woolford

Machine learning (ML) models are typically optimized for their accuracy on a given dataset. However, this predictive criterion rarely captures all desirable properties of a model, in particular how well it matches a domain expert's…

Machine Learning · Computer Science 2022-07-07 Damien Teney , Maxime Peyrard , Ehsan Abbasnejad

We study learning algorithms when there is a mismatch between the distributions of the training and test datasets of a learning algorithm. The effect of this mismatch on the generalization error and model misspecification are quantified.…

Information Theory · Computer Science 2022-08-11 Saeed Masiha , Amin Gohari , Mohammad Hossein Yassaee , Mohammad Reza Aref

We consider the problem of strategic classification, where a learner must build a model to classify agents based on features that have been strategically modified. Previous work in this area has concentrated on the case when the learner is…

Machine Learning · Computer Science 2025-05-19 Jack Geary , Henry Gouk

The literature on game-theoretic equilibrium finding predominantly focuses on single games or their repeated play. Nevertheless, numerous real-world scenarios feature playing a game sampled from a distribution of similar, but not identical…

Computer Science and Game Theory · Computer Science 2024-02-21 David Sychrovský , Michal Šustr , Elnaz Davoodi , Michael Bowling , Marc Lanctot , Martin Schmid

We consider the problem of imitation learning under misspecification: settings where the learner is fundamentally unable to replicate expert behavior everywhere. This is often true in practice due to differences in observation space and…

Machine Learning · Computer Science 2025-04-03 Nicolas Espinosa-Dice , Sanjiban Choudhury , Wen Sun , Gokul Swamy

We study the problem of uncertainty quantification via prediction sets, in an online setting where the data distribution may vary arbitrarily over time. Recent work develops online conformal prediction techniques that leverage regret…

Machine Learning · Computer Science 2023-02-16 Aadyot Bhatnagar , Huan Wang , Caiming Xiong , Yu Bai

We consider the problem of learning linear prediction models with model misspecification bias. In such case, the collinearity among input variables may inflate the error of parameter estimation, resulting in instability of prediction…

Machine Learning · Computer Science 2019-12-02 Zheyan Shen , Peng Cui , Tong Zhang , Kun Kuang

The study of a machine learning problem is in many ways is difficult to separate from the study of the loss function being used. One avenue of inquiry has been to look at these loss functions in terms of their properties as scoring rules…

Machine Learning · Computer Science 2022-09-02 Zac Cranko , Robert C. Williamson , Richard Nock

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

In the present paper we investigate the predictive risk of possibly misspecified quantile regression functions. The in-sample risk is well-known to be an overly optimistic estimate of the predictive risk and we provide two relatively simple…

Statistics Theory · Mathematics 2018-11-05 Alexander Giessing , Xuming He

Selective classification allows models to abstain from making predictions (e.g., say "I don't know") when in doubt in order to obtain better effective accuracy. While typical selective models can be effective at producing more accurate…

Machine Learning · Computer Science 2024-06-24 Adam Fisch , Tommi Jaakkola , Regina Barzilay

The field of AI alignment is concerned with AI systems that pursue unintended goals. One commonly studied mechanism by which an unintended goal might arise is specification gaming, in which the designer-provided specification is flawed in a…

Machine Learning · Computer Science 2022-11-03 Rohin Shah , Vikrant Varma , Ramana Kumar , Mary Phuong , Victoria Krakovna , Jonathan Uesato , Zac Kenton

We propose a framework for estimation and inference when the model may be misspecified. We rely on a local asymptotic approach where the degree of misspecification is indexed by the sample size. We construct estimators whose mean squared…

Econometrics · Economics 2021-10-11 Stéphane Bonhomme , Martin Weidner

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

Statistics Theory · Mathematics 2024-11-22 Clément Dombry , Ahmed Zaoui

Optimization models used to make discrete decisions often contain uncertain parameters that are context-dependent and estimated through prediction. To account for the quality of the decision made based on the prediction, decision-focused…

Machine Learning · Computer Science 2024-07-30 Noah Schutte , Krzysztof Postek , Neil Yorke-Smith

We investigate the problem of cumulative regret minimization for individual sequence prediction with respect to the best expert in a finite family of size K under limited access to information. We assume that in each round, the learner can…

Statistics Theory · Mathematics 2022-10-06 El Mehdi Saad , G. Blanchard

The success of reinforcement learning (RL) crucially depends on effective function approximation when dealing with complex ground-truth models. Existing sample-efficient RL algorithms primarily employ three approaches to function…

Machine Learning · Computer Science 2024-01-09 Yunfan Li , Lin Yang