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This article proposes a general optimization framework for solving hand-eye calibration problem. Unlike traditional methods, an iterative algorithm based on Lie algebra that achieves approximately global optimal solutions is developed.…

机器人学 · 计算机科学 2026-05-07 Yanjia Chen , Xiangfei Li , Huan Zhao , Yiyuan Hong , Guanxiao Xia , Jiexin Zhang , Han Ding

Conformal Prediction methods have finite-sample distribution-free marginal coverage guarantees. However, they generally do not offer conditional coverage guarantees, which can be important for high-stakes decisions. In this paper, we…

机器学习 · 统计学 2024-09-27 Ruijiang Gao , Mingzhang Yin , James McInerney , Nathan Kallus

Due to their intuitive appeal, Bayesian methods of modeling and uncertainty quantification have become popular in modern machine and deep learning. When providing a prior distribution over the parameter space, it is straightforward to…

机器学习 · 统计学 2025-06-05 Ivan Melev , Goeran Kauermann

The confidence calibration of deep learning-based perception models plays a crucial role in their reliability. Especially in the context of autonomous driving, downstream tasks like prediction and planning depend on accurate confidence…

计算机视觉与模式识别 · 计算机科学 2023-08-07 Mariella Dreissig , Florian Piewak , Joschka Boedecker

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…

统计方法学 · 统计学 2022-12-14 Yachong Yang , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

We provide another look at the statistical calibration problem in computer models. This viewpoint is inspired by two overarching practical considerations of computer models: (i) many computer models are inadequate for perfectly modeling…

统计方法学 · 统计学 2018-09-26 Xiaowu Dai , Peter Chien

With rapid adoption of deep learning in critical applications, the question of when and how much to trust these models often arises, which drives the need to quantify the inherent uncertainties. While identifying all sources that account…

Conformal prediction is a model-free machine learning method for constructing prediction regions at a guaranteed coverage probability level. However, a data scientist often faces three challenges in practice: (i) the determination of a…

机器学习 · 统计学 2026-03-31 Liang Hong , Noura Raydan Nasreddine

From the statistical learning perspective, complexity control via explicit regularization is a necessity for improving the generalization of over-parameterized models. However, the impressive generalization performance of neural networks…

机器学习 · 计算机科学 2021-02-09 Taejong Joo , Uijung Chung

In this paper, we consider the uncertainty quantification problem for regression models. Specifically, we consider an individual calibration objective for characterizing the quantiles of the prediction model. While such an objective is…

机器学习 · 计算机科学 2023-10-27 Shang Liu , Zhongze Cai , Xiaocheng Li

In the design of engineered components, rigorous vibration testing is essential for performance validation and identification of resonant frequencies and amplitudes encountered during operation. Performing this evaluation numerically via…

机器学习 · 计算机科学 2026-03-12 D. Bluedorn , A. Badawy , B. E. Saunders , D. Roettgen , A. Abdelkefi

Effective quantification of uncertainty is an essential and still missing step towards a greater adoption of deep-learning approaches in different applications, including mission-critical ones. In particular, investigations on the…

机器学习 · 计算机科学 2023-04-14 Marco Forgione , Dario Piga

Reliable uncertainty quantification (UQ) is essential for developing machine-learned interatomic potentials (MLIPs) in predictive atomistic simulations. Conformal prediction (CP) is a statistical framework that constructs prediction…

化学物理 · 物理学 2025-10-02 Cheuk Hin Ho , Christoph Ortner , Yangshuai Wang

Uncertainty quantification (UQ) in computational chemistry (CC) is still in its infancy. Very few CC methods are designed to provide a confidence level on their predictions, and most users still rely improperly on the mean absolute error as…

化学物理 · 物理学 2022-03-21 Pascal Pernot

Being cautious is crucial for enhancing the trustworthiness of machine learning systems integrated into decision-making pipelines. Although calibrated probabilities help in optimal decision-making, perfect calibration remains unattainable,…

机器学习 · 计算机科学 2024-08-12 Mari-Liis Allikivi , Joonas Järve , Meelis Kull

Calibration is a critical requirement for reliable probabilistic prediction, especially in high-risk applications. However, the theoretical understanding of which learning algorithms can simultaneously achieve high accuracy and good…

机器学习 · 统计学 2025-10-07 Futoshi Futami , Atsushi Nitanda

To assure that an autonomous car is driving safely on public roads, its object detection module should not only work correctly, but show its prediction confidence as well. Previous object detectors driven by deep learning do not explicitly…

机器人学 · 计算机科学 2018-09-10 Di Feng , Lars Rosenbaum , Klaus Dietmayer

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

机器学习 · 计算机科学 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

We address the problem of uncertainty quantification and propose measures of total, aleatoric, and epistemic uncertainty based on a known decomposition of (strictly) proper scoring rules, a specific type of loss function, into a divergence…

机器学习 · 计算机科学 2025-05-29 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

While deep learning offers tremendous promise for scientific and medical imaging, any failures and hallucinations (predictions that do not coincide with reality) are hard to pinpoint and can have serious downstream consequences. Uncertainty…

图像与视频处理 · 电气工程与系统科学 2026-05-26 Cassandra Tong Ye , Shamus Li , Tyler King , Kristina Monakhova