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Matrix completion aims to estimate missing entries in a data matrix, using the assumption of a low-complexity structure (e.g., low rank) so that imputation is possible. While many effective estimation algorithms exist in the literature,…

Methodology · Statistics 2023-10-24 Yu Gui , Rina Foygel Barber , Cong Ma

The ability to replicate predictions by machine learning (ML) or artificial intelligence (AI) models and results in scientific workflows that incorporate such ML/AI predictions is driven by numerous factors. An uncertainty-aware metric that…

Machine Learning · Computer Science 2023-08-28 Line Pouchard , Kristofer G. Reyes , Francis J. Alexander , Byung-Jun Yoon

Conformal prediction (CP) has been a popular method for uncertainty quantification because it is distribution-free, model-agnostic, and theoretically sound. For forecasting problems in supervised learning, most CP methods focus on building…

Machine Learning · Statistics 2024-05-24 Chen Xu , Hanyang Jiang , Yao Xie

Optimal uncertainty quantification (OUQ) is a framework for numerical extreme-case analysis of stochastic systems with imperfect knowledge of the underlying probability distribution. This paper presents sufficient conditions under which an…

Optimization and Control · Mathematics 2015-04-29 Shuo Han , Molei Tao , Ufuk Topcu , Houman Owhadi , Richard M. Murray

Uncertainty Quantification (UQ) is pivotal in enhancing the robustness, reliability, and interpretability of Machine Learning (ML) systems for healthcare, optimizing resources and improving patient care. Despite the emergence of ML-based…

Machine Learning · Computer Science 2025-05-07 L. Julián Lechuga López , Shaza Elsharief , Dhiyaa Al Jorf , Firas Darwish , Congbo Ma , Farah E. Shamout

Among the many ways of quantifying uncertainty in a regression setting, specifying the full quantile function is attractive, as quantiles are amenable to interpretation and evaluation. A model that predicts the true conditional quantiles…

Machine Learning · Computer Science 2021-12-10 Youngseog Chung , Willie Neiswanger , Ian Char , Jeff Schneider

Post-hoc calibration of pre-trained models is critical for ensuring reliable inference, especially in safety-critical domains such as healthcare. Conformal Prediction (CP) offers a robust post-hoc calibration framework, providing…

Machine Learning · Computer Science 2025-05-22 Haifeng Wen , Hong Xing , Osvaldo Simeone

In this paper, we consider high-dimensional Lp-quantile regression which only requires a low order moment of the error and is also a natural generalization of the above methods and Lp-regression as well. The loss function of Lp-quantile…

Statistics Theory · Mathematics 2026-03-05 Fuming Lin WEilin Mou

Deploying black-box LLMs requires managing uncertainty in the absence of token-level probability or true labels. We propose introducing an unsupervised conformal inference framework for generation, which integrates: generative models,…

Machine Learning · Statistics 2025-09-30 Lingyou Pang , Lei Huang , Jianyu Lin , Tianyu Wang , Akira Horiguchi , Alexander Aue , Carey E. Priebe

The increasing use of generative ML foundation models for image restoration tasks such as super-resolution calls for robust and interpretable uncertainty quantification methods. We address this need by presenting a novel approach based on…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Eduardo Adame , Daniel Csillag , Guilherme Tegoni Goedert

This tutorial focuses on efficient methods to predictive monitoring (PM), the problem of detecting at runtime future violations of a given requirement from the current state of a system. While performing model checking at runtime would…

Artificial Intelligence · Computer Science 2023-12-05 Francesca Cairoli , Luca Bortolussi , Nicola Paoletti

This work presents novel extensions for combining two frameworks for quantifying both aleatoric (i.e., irreducible) and epistemic (i.e., reducible) sources of uncertainties in the modeling of engineered systems. The data-consistent (DC)…

Machine Learning · Statistics 2024-03-07 Taylor Roper , Harri Hakula , Troy Butler

Optimizing smart grid operations relies on critical decision-making informed by uncertainty quantification, making probabilistic forecasting a vital tool. Designing such forecasting models involves three key challenges: accurate and…

Machine Learning · Computer Science 2024-12-03 Stefan Meisenbacher , Kaleb Phipps , Oskar Taubert , Marie Weiel , Markus Götz , Ralf Mikut , Veit Hagenmeyer

We present recent advances in formal verification and control for autonomous systems with practical safety guarantees enabled by conformal prediction (CP), a statistical tool for uncertainty quantification. This survey is particularly…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Lars Lindemann , Yiqi Zhao , Xinyi Yu , George J. Pappas , Jyotirmoy V. Deshmukh

The rapid advancement of large language models (LLMs) has transformed the landscape of natural language processing, enabling breakthroughs across a wide range of areas including question answering, machine translation, and text…

Computation and Language · Computer Science 2025-10-15 Sungmin Kang , Yavuz Faruk Bakman , Duygu Nur Yaldiz , Baturalp Buyukates , Salman Avestimehr

Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri

In clinical applications, the utility of segmentation models is often based on the accuracy of derived downstream metrics such as organ size, rather than by the pixel-level accuracy of the segmentation masks themselves. Thus, uncertainty…

Image and Video Processing · Electrical Eng. & Systems 2026-03-03 Matt Y. Cheung , Ashok Veeraraghavan , Guha Balakrishnan

As large language models continue to be widely developed, robust uncertainty quantification techniques will become crucial for their safe deployment in high-stakes scenarios. In this work, we explore how conformal prediction can be used to…

Computation and Language · Computer Science 2023-07-11 Bhawesh Kumar , Charlie Lu , Gauri Gupta , Anil Palepu , David Bellamy , Ramesh Raskar , Andrew Beam

Uncertainty quantification (UQ) is essential for assessing the reliability of Earth observation (EO) products. However, the extensive use of machine learning models in EO introduces an additional layer of complexity, as those models…

Machine Learning · Computer Science 2024-12-10 Yuanyuan Wang , Qian Song , Dawood Wasif , Muhammad Shahzad , Christoph Koller , Jonathan Bamber , Xiao Xiang Zhu

Methods based on weight compensation, which iteratively apply quantization and weight compensation to minimize the output error, have recently demonstrated remarkable success in quantizing Large Language Models (LLMs). The representative…

Machine Learning · Computer Science 2026-04-10 Shuaiting Li , Juncan Deng , Kedong Xu , Rongtao Deng , Hong Gu , Minghan Jiang , Haibin Shen , Kejie Huang