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The distance standard deviation, which arises in distance correlation analysis of multivariate data, is studied as a measure of spread. The asymptotic distribution of the empirical distance standard deviation is derived under the assumption…

Statistics Theory · Mathematics 2019-12-12 Dominic Edelmann , Donald Richards , Daniel Vogel

Learned models and policies can generalize effectively when evaluated within the distribution of the training data, but can produce unpredictable and erroneous outputs on out-of-distribution inputs. In order to avoid distribution shift when…

Machine Learning · Computer Science 2022-06-22 Katie Kang , Paula Gradu , Jason Choi , Michael Janner , Claire Tomlin , Sergey Levine

Input variables in numerical models are often subject to several levels of uncertainty, usually modeled by probability distributions. In the context of uncertainty quantification applied to these models, studying the robustness of output…

Distance queries are a basic tool in data analysis. They are used for detection and localization of change for the purpose of anomaly detection, monitoring, or planning. Distance queries are particularly useful when data sets such as…

Data Structures and Algorithms · Computer Science 2015-03-20 Edith Cohen

We study how robust current ImageNet models are to distribution shifts arising from natural variations in datasets. Most research on robustness focuses on synthetic image perturbations (noise, simulated weather artifacts, adversarial…

Machine Learning · Computer Science 2020-09-15 Rohan Taori , Achal Dave , Vaishaal Shankar , Nicholas Carlini , Benjamin Recht , Ludwig Schmidt

Although machine learning models typically experience a drop in performance on out-of-distribution data, accuracies on in- versus out-of-distribution data are widely observed to follow a single linear trend when evaluated across a testbed…

Machine Learning · Computer Science 2021-07-01 Anders Andreassen , Yasaman Bahri , Behnam Neyshabur , Rebecca Roelofs

Recent work has shown deep learning can accelerate the prediction of physical dynamics relative to numerical solvers. However, limited physical accuracy and an inability to generalize under distributional shift limit its applicability to…

Machine Learning · Computer Science 2021-03-17 Rui Wang , Robin Walters , Rose Yu

Many machine learning methods assume that the training and test data follow the same distribution. However, in the real world, this assumption is very often violated. In particular, the phenomenon that the marginal distribution of the data…

Machine Learning · Computer Science 2023-04-20 Masanari Kimura , Hideitsu Hino

Many researchers have identified distribution shift as a likely contributor to the reproducibility crisis in behavioral and biomedical sciences. The idea is that if treatment effects vary across individual characteristics and experimental…

Applications · Statistics 2023-09-06 Ying Jin , Kevin Guo , Dominik Rothenhäusler

While deep neural networks can attain good accuracy on in-distribution test points, many applications require robustness even in the face of unexpected perturbations in the input, changes in the domain, or other sources of distribution…

Machine Learning · Computer Science 2022-10-12 Marvin Zhang , Sergey Levine , Chelsea Finn

Machine learning models frequently experience performance drops under distribution shifts. The underlying cause of such shifts may be multiple simultaneous factors such as changes in data quality, differences in specific covariate…

Machine Learning · Computer Science 2023-06-07 Haoran Zhang , Harvineet Singh , Marzyeh Ghassemi , Shalmali Joshi

Performance estimation under covariate shift is a crucial component of safe AI model deployment, especially for sensitive use-cases. Recently, several solutions were proposed to tackle this problem, most leveraging model predictions or…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Mélanie Roschewitz , Ben Glocker

Neural networks (NNs) are increasingly used for data-driven subgrid-scale parameterization in weather and climate models. While NNs are powerful tools for learning complex nonlinear relationships from data, there are several challenges in…

A fundamental question in data analysis, machine learning and signal processing is how to compare between data points. The choice of the distance metric is specifically challenging for high-dimensional data sets, where the problem of…

Machine Learning · Statistics 2017-08-15 Almog Lahav , Ronen Talmon , Yuval Kluger

In many scientific and data-driven applications, machine learning models are increasingly used as measurement instruments, rather than merely as predictors of predefined labels. When the measurement function is learned from data, the…

Machine Learning · Computer Science 2026-01-27 Indrė Žliobaitė

Hypoelliptic diffusion processes can be used to model a variety of phenomena in applications ranging from molecular dynamics to audio signal analysis. We study parameter estimation for such processes in situations where we observe some…

Methodology · Statistics 2007-10-30 Y. Pokern , A. M. Stuart , P. Wiberg

Failure of machine learning models to generalize to new data is a core problem limiting the reliability of AI systems, partly due to the lack of simple and robust methods for comparing new data to the original training dataset. We propose a…

Machine Learning · Computer Science 2025-02-26 W. Max Schreyer , Christopher Anderson , Reid F. Thompson

Anomaly detection (AD) is a crucial machine learning task that aims to learn patterns from a set of normal training samples to identify abnormal samples in test data. Most existing AD studies assume that the training and test data are drawn…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Tri Cao , Jiawen Zhu , Guansong Pang

As training datasets grow larger, we aspire to develop models that generalize well to any diverse test distribution, even if the latter deviates significantly from the training data. Various approaches like domain adaptation, domain…

Machine Learning · Computer Science 2024-10-10 Andreas Loukas , Karolis Martinkus , Ed Wagstaff , Kyunghyun Cho

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
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