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We study the problem of distribution shift generally arising in machine-learning augmented hybrid simulation, where parts of simulation algorithms are replaced by data-driven surrogates. We first establish a mathematical framework to…

Numerical Analysis · Mathematics 2025-06-17 Jiaxi Zhao , Qianxiao Li

When machine learning models are deployed on a test distribution different from the training distribution, they can perform poorly, but overestimate their performance. In this work, we aim to better estimate a model's performance under…

Machine Learning · Computer Science 2020-07-08 Ching-Yao Chuang , Antonio Torralba , Stefanie Jegelka

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

Methodology · Statistics 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

Conformal prediction has received tremendous attention in recent years and has offered new solutions to problems in missing data and causal inference; yet these advances have not leveraged modern semiparametric efficiency theory for more…

Methodology · Statistics 2022-12-14 Yachong Yang , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

Covariate shift relaxes the widely-employed independent and identically distributed (IID) assumption by allowing different training and testing input distributions. Unfortunately, common methods for addressing covariate shift by trying to…

Machine Learning · Computer Science 2018-01-02 Anqi Liu , Brian D. Ziebart

Reliable and accurate estimation of the error of an ML model in unseen test domains is an important problem for safe intelligent systems. Prior work uses disagreement discrepancy (DIS^2) to derive practical error bounds under distribution…

Machine Learning · Computer Science 2025-06-19 Aayush Mishra , Anqi Liu

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

The application of standard sufficient dimension reduction methods for reducing the dimension space of predictors without losing regression information requires inverting the covariance matrix of the predictors. This has posed a number of…

Methodology · Statistics 2019-10-01 Kabir Opeyemi Olorede , Waheed Babatunde Yahya

Maximum Probability Framework, powered by Maximum Probability Theorem, is a recent theoretical development in artificial intelligence, aiming to formally define probabilistic models, guiding development of objective functions, and…

Machine Learning · Computer Science 2022-09-08 Amir Emad Marvasti , Ehsan Emad Marvasti , Ulas Bagci

Approximation of a target probability distribution using a finite set of points is a problem of fundamental importance in numerical integration. Several authors have proposed to select points by minimising a maximum mean discrepancy (MMD),…

Machine Learning · Statistics 2026-05-13 Zonghao Chen , Toni Karvonen , Heishiro Kanagawa , François-Xavier Briol , Chris. J. Oates

Do two data samples come from different distributions? Recent studies of this fundamental problem focused on embedding probability distributions into sufficiently rich characteristic Reproducing Kernel Hilbert Spaces (RKHSs), to compare…

Machine Learning · Computer Science 2013-05-03 Somayeh Danafar , Paola M. V. Rancoita , Tobias Glasmachers , Kevin Whittingstall , Juergen Schmidhuber

Metric data plays an important role in various settings such as metric-based indexing, clustering, classification, and approximation algorithms in general. Due to measurement error, noise, or an inability to completely gather all the data,…

Computational Geometry · Computer Science 2018-07-24 Chenglin Fan , Benjamin Raichel , Gregory Van Buskirk

Existing calibration algorithms address the problem of covariate shift via unsupervised domain adaptation. However, these methods suffer from the following limitations: 1) they require unlabeled data from the target domain, which may not be…

Machine Learning · Computer Science 2021-10-19 Yunye Gong , Xiao Lin , Yi Yao , Thomas G. Dietterich , Ajay Divakaran , Melinda Gervasio

Deploying machine learning in open environments presents the challenge of encountering diverse test inputs that differ significantly from the training data. These out-of-distribution samples may exhibit shifts in local or global features…

Machine Learning · Computer Science 2024-03-19 Jiawei Li , Sitong Li , Shanshan Wang , Yicheng Zeng , Falong Tan , Chuanlong Xie

Domain adaptation has received a lot of attention in recent years, and many algorithms have been proposed with impressive progress. However, it is still not fully explored concerning the joint probability distribution (P(X, Y)) distance for…

Machine Learning · Computer Science 2021-01-26 Wei Wang , Baopu Li , Shuhui Yang , Jing Sun , Zhengming Ding , Junyang Chen , Xiao Dong , Zhihui Wang , Haojie Li

Recognizing out-of-distribution (OOD) samples is critical for machine learning systems deployed in the open world. The vast majority of OOD detection methods are driven by a single modality (e.g., either vision or language), leaving the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Yifei Ming , Ziyang Cai , Jiuxiang Gu , Yiyou Sun , Wei Li , Yixuan Li

Kernel mean embeddings are a popular tool that consists in representing probability measures by their infinite-dimensional mean embeddings in a reproducing kernel Hilbert space. When the kernel is characteristic, mean embeddings can be used…

Machine Learning · Computer Science 2021-06-29 Boris Muzellec , Francis Bach , Alessandro Rudi

We present a new loss function that addresses the out-of-distribution (OOD) calibration problem. While many objective functions have been proposed to effectively calibrate models in-distribution, our findings show that they do not always…

Machine Learning · Computer Science 2024-03-12 Dexter Neo , Stefan Winkler , Tsuhan Chen

Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

Methodology · Statistics 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

Learning modality invariant features is central to the problem of Visible-Thermal cross-modal Person Reidentification (VT-ReID), where query and gallery images come from different modalities. Existing works implicitly align the modalities…

Computer Vision and Pattern Recognition · Computer Science 2021-11-10 Chaitra Jambigi , Ruchit Rawal , Anirban Chakraborty
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