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We suggest a new method, called Functional Additive Regression, or FAR, for efficiently performing high-dimensional functional regression. FAR extends the usual linear regression model involving a functional predictor, $X(t)$, and a scalar…

统计理论 · 数学 2015-10-15 Yingying Fan , Gareth M. James , Peter Radchenko

Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

机器学习 · 计算机科学 2024-07-08 Rui Luo , Zhixin Zhou

Many applications of machine learning methods involve an iterative protocol in which data are collected, a model is trained, and then outputs of that model are used to choose what data to consider next. For example, one data-driven approach…

We compare two recently proposed methods that combine ideas from conformal inference and quantile regression to produce locally adaptive and marginally valid prediction intervals under sample exchangeability (Romano et al., 2019;…

统计方法学 · 统计学 2020-03-03 Matteo Sesia , Emmanuel J. Candès

Being able to assess the confidence of individual predictions in machine learning models is crucial for decision making scenarios. Specially, in critical applications such as medical diagnosis, security, and unmanned vehicles, to name a…

机器学习 · 计算机科学 2024-02-20 Enrique Garcia-Ceja

We introduce new inference procedures for counterfactual and synthetic control methods for policy evaluation. We recast the causal inference problem as a counterfactual prediction and a structural breaks testing problem. This allows us to…

计量经济学 · 经济学 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

Feature attribution methods are widely used for explaining image-based predictions, as they provide feature-level insights that can be intuitively visualized. However, such explanations often vary in their robustness and may fail to…

计算机视觉与模式识别 · 计算机科学 2025-09-26 Amr Alkhatib , Stephanie Lowry

We develop a predictive inference procedure that combines conformal prediction (CP) with unconditional quantile regression (QR) -- a commonly used tool in econometrics that involves regressing the recentered influence function (RIF) of the…

机器学习 · 计算机科学 2023-04-05 Ahmed M. Alaa , Zeshan Hussain , David Sontag

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

统计计算 · 统计学 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

Deep neural networks are behind many of the recent successes in machine learning applications. However, these models can produce overconfident decisions while encountering out-of-distribution (OOD) examples or making a wrong prediction.…

机器学习 · 计算机科学 2021-06-24 Navid Kardan , Ankit Sharma , Kenneth O. Stanley

Conformal prediction is a powerful tool to generate uncertainty sets with guaranteed coverage using any predictive model, under the assumption that the training and test data are i.i.d.. Recently, it has been shown that adversarial examples…

机器学习 · 计算机科学 2024-05-01 Ge Yan , Yaniv Romano , Tsui-Wei Weng

Existing conformal prediction algorithms estimate prediction intervals at target confidence levels to characterize the performance of a regression model on new test samples. However, considering an autonomous system consisting of multiple…

机器学习 · 计算机科学 2023-09-25 Yunye Gong , Yi Yao , Xiao Lin , Ajay Divakaran , Melinda Gervasio

The field of distribution-free predictive inference provides tools for provably valid prediction without any assumptions on the distribution of the data, which can be paired with any regression algorithm to provide accurate and reliable…

统计理论 · 数学 2023-01-19 Michael Bian , Rina Foygel Barber

Conformal methods create prediction bands that control average coverage under no assumptions besides i.i.d. data. Besides average coverage, one might also desire to control conditional coverage, that is, coverage for every new testing…

统计方法学 · 统计学 2019-12-10 Rafael Izbicki , Gilson T. Shimizu , Rafael B. Stern

We present a new method for generating confidence sets within the split conformal prediction framework. Our method performs a trainable transformation of any given conformity score to improve conditional coverage while ensuring exact…

Image segmentation is a challenging task influenced by multiple sources of uncertainty, such as the data labeling process or the sampling of training data. In this paper we focus on binary segmentation and address these challenges using…

计算机视觉与模式识别 · 计算机科学 2025-03-10 Luca Mossina , Corentin Friedrich

High-fidelity (HF) data are often expensive to collect and therefore scarce, making conditional quantiles difficult to estimate accurately. We propose a two-stage, model-agnostic method for multi-fidelity quantile regression. The central…

统计方法学 · 统计学 2026-05-12 Yixiang Liu , Yao Zhang

The application of machine learning models can be significantly impeded by the occurrence of distributional shifts, as the assumption of homogeneity between the population of training and testing samples in machine learning and statistics…

机器学习 · 统计学 2023-06-06 Wenlu Tang , Zicheng Liu

Prediction sets offer a binary inclusion/exclusion for each element at the same fixed confidence level. We generalize to fuzzy prediction sets, which exclude elements at their own data-driven confidence level. Our key insight is that a…

统计理论 · 数学 2026-04-01 Nick W. Koning , Sam van Meer

Forward regression is a crucial methodology for automatically identifying important predictors from a large pool of potential covariates. In contexts with moderate predictor correlation, forward selection techniques can achieve screening…

统计方法学 · 统计学 2024-08-23 Xuejun Jiang , Yue Ma , Haofeng Wang
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