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Machine learning in asset pricing typically predicts expected returns as point estimates, ignoring uncertainty. We develop new methods to construct forecast confidence intervals for expected returns obtained from neural networks. We show…

Econometrics · Economics 2025-03-04 Yuan Liao , Xinjie Ma , Andreas Neuhierl , Linda Schilling

Standard approaches to constructing nonparametric confidence bands for functions are frustrated by the impact of bias, which generally is not estimated consistently when using the bootstrap and conventionally smoothed function estimators.…

Statistics Theory · Mathematics 2014-01-30 Peter Hall , Joel Horowitz

When we use simulation to evaluate the performance of a stochastic system, the simulation often contains input distributions estimated from real-world data; therefore, there is both simulation and input uncertainty in the performance…

Methodology · Statistics 2020-11-10 Wei Xie , Barry L. Nelson , Russell R. Barton

We propose a bootstrap-based calibrated projection procedure to build confidence intervals for single components and for smooth functions of a partially identified parameter vector in moment (in)equality models. The method controls…

Statistics Theory · Mathematics 2024-07-03 Hiroaki Kaido , Francesca Molinari , Jörg Stoye

A probabilistic model is said to be calibrated if its predicted probabilities match the corresponding empirical frequencies. Calibration is important for uncertainty quantification and decision making in safety-critical applications. While…

Machine Learning · Computer Science 2020-07-01 Anusri Pampari , Stefano Ermon

Datasets for training recommender systems are often subject to distribution shift induced by users' and recommenders' selection biases. In this paper, we study the impact of selection bias on datasets with different quantization. We then…

Information Retrieval · Computer Science 2022-12-29 Fengyu Li , Sarah Dean

This work applies a quantitative metric well-known to the data assimilation community to a new context in order to capture the relative representativeness of non-simultaneous or non-co-located observations and quantify how these…

Atmospheric and Oceanic Physics · Physics 2023-08-08 C. E. Powell , Christopher S. Ruf , Scott Gleason , Scot C. R. Rafkin

In this study, we explore in depth a few under-studied topics at the intersection of uncertainty estimation and segmentation. Prior work has shown that the quality of uncertainty estimates can be very sensitive to a range of variables. As…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Michael Smith , Frank P. Ferrie

Image-level regression is an important task in Earth observation, where visual domain and label shifts are a core challenge hampering generalization. However, cross-domain regression within remote sensing data remains understudied due to…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Sizhuo Li , Dimitri Gominski , Martin Brandt , Xiaoye Tong , Philippe Ciais

We study high-dimensional linear models with error-in-variables. Such models are motivated by various applications in econometrics, finance and genetics. These models are challenging because of the need to account for measurement errors to…

Statistics Theory · Mathematics 2017-03-03 Alexandre Belloni , Victor Chernozhukov , Abhishek Kaul

As machine learning models are increasingly deployed in dynamic environments, it becomes paramount to assess and quantify uncertainties associated with distribution shifts. A distribution shift occurs when the underlying data-generating…

Methodology · Statistics 2024-10-08 Jiawei Ge , Debarghya Mukherjee , Jianqing Fan

Bootstrapping can produce confidence levels for hypotheses about quadratic regression models - such as whether the U-shape is inverted, and the location of optima. The method has several advantages over conventional methods: it provides…

Methodology · Statistics 2012-07-09 Michael Wood

Landslides are a recurring, widespread hazard. Preparation and mitigation efforts can be aided by a high-quality, large-scale dataset that covers global at-risk areas. Such a dataset currently does not exist and is impossible to construct…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Savinay Nagendra , Chaopeng Shen , Daniel Kifer

We propose a way of transforming the problem of conditional density estimation into a single nonparametric regression task via the introduction of auxiliary samples. This allows leveraging regression methods that work well in high…

Machine Learning · Statistics 2025-11-25 Alexander G. Reisach , Olivier Collier , Alex Luedtke , Antoine Chambaz

We construct uniform and point-wise asymptotic confidence sets for the single edge in an otherwise smooth image function which are based on rotated differences of two one-sided kernel estimators. Using methods from M-estimation, we show…

Statistics Theory · Mathematics 2019-03-26 Viktor Bengs , Matthias Eulert , Hajo Holzmann

Debiased machine learning is a meta algorithm based on bias correction and sample splitting to calculate confidence intervals for functionals, i.e. scalar summaries, of machine learning algorithms. For example, an analyst may desire the…

Machine Learning · Statistics 2022-10-25 Victor Chernozhukov , Whitney K. Newey , Rahul Singh

The mean field variational Bayes (VB) algorithm implemented in Stan is relatively fast and efficient, making it feasible to produce model-estimated official statistics on a rapid timeline. Yet, while consistent point estimates of parameters…

Methodology · Statistics 2024-07-08 Terrance D. Savitsky , Julie Gershunskaya

We consider the problem of finding confidence intervals for the risk of forecasting the future of a stationary, ergodic stochastic process, using a model estimated from the past of the process. We show that a bootstrap procedure provides…

Statistics Theory · Mathematics 2017-12-01 Robert Lunde , Cosma Rohilla Shalizi

Panels with large time $(T)$ and cross-sectional $(N)$ dimensions are a key data structure in social sciences and other fields. A central question in panel data analysis is whether to pool data across individuals or to estimate separate…

Methodology · Statistics 2025-12-18 Tim Kutta , Martin Schumann , Holger Dette

Reliable confidence estimates are important for safely deploying vision-based controllers in autonomous racing, where safety predictions must be derived from camera images, yet modern predictors become dangerously overconfident under…

Robotics · Computer Science 2026-05-21 Zhenjiang Mao , Jiawen Wu , Gabriel Wagner , Zhongzheng Zhang , Ivan Ruchkin
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