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Modern black-box predictive models are often accompanied by weak performance guarantees that only hold asymptotically in the size of the dataset or require strong parametric assumptions. In response to this, split conformal prediction…

Machine Learning · Statistics 2022-10-27 Roel Hulsman

While clustering is ubiquitously used across science and industry, uncertainty in cluster assignments is rarely quantified with rigorous guarantees. We propose a novel conformal inference framework for clustering that returns confidence…

Methodology · Statistics 2026-04-13 YoonHaeng Hur , Anirban Nath , Genevera Allen

6D pose confidence region estimation has emerged as a critical direction, aiming to perform uncertainty quantification for assessing the reliability of estimated poses. However, current sampling-based approach suffers from critical…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Jinghao Wang , Zhang Li , Zi Wang , Banglei Guan , Yang Shang , Qifeng Yu

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

Identifying safe areas is a key point to guarantee trust for systems that are based on Deep Neural Networks (DNNs). To this end, we introduce the AllDNN-Verification problem: given a safety property and a DNN, enumerate the set of all the…

Machine Learning · Computer Science 2024-02-21 Luca Marzari , Davide Corsi , Enrico Marchesini , Alessandro Farinelli , Ferdinando Cicalese

A trustworthy real-world prediction system should produce well-calibrated confidence scores; that is, its confidence in an answer should be indicative of the likelihood that the answer is correct, enabling deferral to an expert in cases of…

Computation and Language · Computer Science 2023-10-25 Katherine Tian , Eric Mitchell , Allan Zhou , Archit Sharma , Rafael Rafailov , Huaxiu Yao , Chelsea Finn , Christopher D. Manning

To segment a sequence of independent random variables at an unknown number of change-points, we introduce new procedures that are based on thresholding the likelihood ratio statistic. We also study confidence regions based on the likelihood…

Statistics Theory · Mathematics 2018-10-16 Xiao Fang , Jian Li , David Siegmund

Construction of valid statistical inference for estimators based on data-driven selection has received a lot of attention in the recent times. Berk et al. (2013) is possibly the first work to provide valid inference for Gaussian…

Conformal predictions make it possible to define reliable and robust learning algorithms. But they are essentially a method for evaluating whether an algorithm is good enough to be used in practice. To define a reliable learning framework…

Machine Learning · Statistics 2024-03-18 Alberto Carlevaro , Teodoro Alamo Cantarero , Fabrizio Dabbene , Maurizio Mongelli

It is common when using cross-section or panel data to assign each observation to a cluster and allow for arbitrary patterns of heteroskedasticity and correlation within clusters. For regression models, there are many ways to make…

Econometrics · Economics 2026-04-03 James G. MacKinnon

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

When considering d possibly dependent random variables, one is often interested in extreme risk regions, with very small probability p. We consider risk regions of the form ${\mathbf{z}\in\mathbb{R}^d:f(\mathbf{z})\leq\beta}$, where f is…

Statistics Theory · Mathematics 2012-11-26 Juan-Juan Cai , John H. J. Einmahl , Laurens de Haan

Calibration is crucial in deep learning applications, especially in fields like healthcare and autonomous driving, where accurate confidence estimates are vital for decision-making. However, deep neural networks often suffer from…

Machine Learning · Computer Science 2024-10-17 Linwei Tao , Haolan Guo , Minjing Dong , Chang Xu

Conditional probabilities are a core concept in machine learning. For example, optimal prediction of a label $Y$ given an input $X$ corresponds to maximizing the conditional probability of $Y$ given $X$. A common approach to inference tasks…

Machine Learning · Computer Science 2017-08-09 Yoav Wald , Amir Globerson

Matching keypoint pairs of different images is a basic task of computer vision. Most methods require customized extremum point schemes to obtain the coordinates of feature points with high confidence, which often need complex algorithmic…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Kai Lv , Zongqing Lu , Qingmin Liao

We introduce Joint Coverage Regions (JCRs), which unify confidence intervals and prediction regions in frequentist statistics. Specifically, joint coverage regions aim to cover a pair formed by an unknown fixed parameter (such as the mean…

Methodology · Statistics 2025-06-10 Edgar Dobriban , Zhanran Lin

Machine learning plays an increasingly significant role in many aspects of our lives (including medicine, transportation, security, justice and other domains), making the potential consequences of false predictions increasingly devastating.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Yuval Bahat , Gregory Shakhnarovich

Depth measures have gained popularity in the statistical literature for defining level sets in complex data structures like multivariate data, functional data, and graphs. Despite their versatility, integrating depth measures into…

Conformal prediction is an emerging technique for uncertainty quantification that constructs prediction sets guaranteed to contain the true label with a predefined probability. Previous works often employ temperature scaling to calibrate…

Machine Learning · Computer Science 2024-12-24 Huajun Xi , Jianguo Huang , Kangdao Liu , Lei Feng , Hongxin Wei

Overconfidence is a common issue for deep neural networks, limiting their deployment in real-world applications. To better estimate confidence, existing methods mostly focus on fully-supervised scenarios and rely on training labels. In this…

Machine Learning · Computer Science 2023-07-21 Chen Li , Xiaoling Hu , Chao Chen
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