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Related papers: Uncertainty quantification for intervals

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In this work, we aim at augmenting the decisions output by quantum models with "error bars" that provide finite-sample coverage guarantees. Quantum models implement implicit probabilistic predictors that produce multiple random decisions…

Quantum Physics · Physics 2023-10-24 Sangwoo Park , Osvaldo Simeone

Methods for reasoning under uncertainty are a key building block of accurate and reliable machine learning systems. Bayesian methods provide a general framework to quantify uncertainty. However, because of model misspecification and the use…

Machine Learning · Computer Science 2018-07-03 Volodymyr Kuleshov , Nathan Fenner , Stefano Ermon

The paper introduces a novel approach to global sensitivity analysis, grounded in the variance-covariance structure of random variables derived from random measures. The proposed methodology facilitates the application of…

Methodology · Statistics 2025-10-20 Caleb Deen Bastian , Herschel Rabitz , Grzegorz A Rempala

Language Models (LMs) have shown promising performance in natural language generation. However, as LMs often generate incorrect or hallucinated responses, it is crucial to correctly quantify their uncertainty in responding to given inputs.…

Computation and Language · Computer Science 2024-09-17 Xinmeng Huang , Shuo Li , Mengxin Yu , Matteo Sesia , Hamed Hassani , Insup Lee , Osbert Bastani , Edgar Dobriban

Effective intervention strategies for epidemics rely on the identification of their origin and on the robustness of the predictions made by network disease models. We introduce a Bayesian uncertainty quantification framework to infer model…

Populations and Evolution · Quantitative Biology 2020-04-02 Karen Larson , Clark Bowman , Zhizhong Chen , Panagiotis Hadjidoukas , Costas Papadimitriou , Petros Koumoutsakos , Anastasios Matzavinos

Uncertainty quantification is vital for decision-making and risk assessment in machine learning. Mean-variance regression models, which predict both a mean and residual noise for each data point, provide a simple approach to uncertainty…

Machine Learning · Statistics 2025-12-01 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt

As large language models (LLMs) continue to evolve, understanding and quantifying the uncertainty in their predictions is critical for enhancing application credibility. However, the existing literature relevant to LLM uncertainty…

Computation and Language · Computer Science 2024-10-22 Hsiu-Yuan Huang , Yutong Yang , Zhaoxi Zhang , Sanwoo Lee , Yunfang Wu

Accurate medical image segmentation is crucial for diagnosis and analysis. However, the models without calibrated uncertainty estimates might lead to errors in downstream analysis and exhibit low levels of robustness. Estimating the…

Image and Video Processing · Electrical Eng. & Systems 2021-09-16 Yanwu Yang , Xutao Guo , Yiwei Pan , Pengcheng Shi , Haiyan Lv , Ting Ma

We present batching as an omnibus device for uncertainty quantification using simulation output. We consider the classical context of a simulationist performing uncertainty quantification on an estimator $\theta_n$ (of an unknown fixed…

Methodology · Statistics 2024-08-27 Yongseok Jeon , Yi Chu , Raghu Pasupathy , Sara Shashaani

This paper introduces a first implementation of a novel likelihood-ratio-based approach for constructing confidence intervals for neural networks. Our method, called DeepLR, offers several qualitative advantages: most notably, the ability…

Machine Learning · Statistics 2023-08-07 Laurens Sluijterman , Eric Cator , Tom Heskes

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

Given that machine learning algorithms are increasingly being deployed to aid in high stakes decision-making, uncertainty quantification methods that wrap around these black box models such as conformal prediction have received much…

Machine Learning · Statistics 2026-02-09 Kayla E. Scharfstein , Arun Kumar Kuchibhotla

While past works have shown how uncertainty quantification can be applied to large language model (LLM) outputs, the question of whether resulting uncertainty guarantees still hold within sub-groupings of data remains open. In our work,…

Computation and Language · Computer Science 2025-06-13 Terrance Liu , Zhiwei Steven Wu

Researchers have proposed several approaches for neural network (NN) based uncertainty quantification (UQ). However, most of the approaches are developed considering strong assumptions. Uncertainty quantification algorithms often perform…

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of continuous systems. In this paper, we propose an interval method that verifies the properties described by a bounded signal temporal logic.…

Logic in Computer Science · Computer Science 2016-02-09 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

Temporal logic inference is the process of extracting formal descriptions of system behaviors from data in the form of temporal logic formulas. The existing temporal logic inference methods mostly neglect uncertainties in the data, which…

Artificial Intelligence · Computer Science 2021-06-01 Nasim Baharisangari , Jean-Raphaël Gaglione , Daniel Neider , Ufuk Topcu , Zhe Xu

We present a method to quantify uncertainty in the predictions made by simulations of mathematical models that can be applied to a broad class of stochastic, discrete, and differential equation models. Quantifying uncertainty is crucial for…

Machine Learning · Statistics 2015-03-05 Kyle S. Hickmann , James M. Hyman , Sara Y. Del Valle

AI predictive systems are increasingly embedded in decision making pipelines, shaping high stakes choices once made solely by humans. Yet robust decisions under uncertainty still rely on capabilities that current AI lacks: domain knowledge…

Artificial Intelligence · Computer Science 2025-10-28 Sima Noorani , Shayan Kiyani , George Pappas , Hamed Hassani

Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

Machine Learning · Computer Science 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

Inverse optimization (IO) is used to estimate unknown parameters of an optimization model from observed decisions. In the data-driven context, the estimated parameters are inherently uncertain, yet quantifying this uncertainty has received…

Optimization and Control · Mathematics 2026-05-26 Timothy C. Y. Chan , Nathan Sandholtz , Nasrin Yousefi