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Many decision processes in artificial intelligence and operations research are modeled by parametric optimization problems whose defining parameters are unknown and must be inferred from observable data. The Predict-Then-Optimize (PtO)…

Artificial Intelligence · Computer Science 2024-02-13 My H Dinh , James Kotary , Ferdinando Fioretto

Code language models are increasingly adopted for both understanding and generative tasks. Despite their success, these models frequently produce overconfident incorrect predictions and underconfident correct predictions, undermining their…

Software Engineering · Computer Science 2026-05-20 Ravishka Rathnasuriya , Wei Yang

Post-hoc explainability methods such as Grad-CAM are popular because they do not influence the performance of a trained model. However, they mainly reveal "where" a model looks at for a given input, fail to explain "what" the model looks…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Andong Tan , Fengtao Zhou , Hao Chen

Despite the recent progress in deep neural networks (DNNs), it remains challenging to explain the predictions made by DNNs. Existing explanation methods for DNNs mainly focus on post-hoc explanations where another explanatory model is…

Machine Learning · Computer Science 2024-01-04 Wei Qian , Chenxu Zhao , Yangyi Li , Fenglong Ma , Chao Zhang , Mengdi Huai

We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

Machine Learning · Statistics 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

Survival analysis, which estimates the probability of event occurrence over time from censored data, is fundamental in numerous real-world applications, particularly in high-stakes domains such as healthcare and risk assessment. Despite…

Machine Learning · Computer Science 2025-05-26 Yu Liu , Weiyao Tao , Tong Xia , Simon Knight , Tingting Zhu

We derive inferential procedures for large sample sizes that remain valid under data-dependent significance levels (so-called "post-hoc valid inference"). Classical statistical tools require that the significance level -- the "type-I error"…

Statistics Theory · Mathematics 2026-03-10 Ben Chugg , Etienne Gauthier , Michael I. Jordan , Aaditya Ramdas , Ian Waudby-Smith

Dynamic neural networks are a recent technique that promises a remedy for the increasing size of modern deep learning models by dynamically adapting their computational cost to the difficulty of the inputs. In this way, the model can adjust…

Machine Learning · Computer Science 2023-12-11 Lassi Meronen , Martin Trapp , Andrea Pilzer , Le Yang , Arno Solin

Reliable uncertainty quantification in deep neural networks is very crucial in safety-critical applications such as automated driving for trustworthy and informed decision-making. Assessing the quality of uncertainty estimates is…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Neslihan Kose , Ranganath Krishnan , Akash Dhamasia , Omesh Tickoo , Michael Paulitsch

Regression methods are fundamental for scientific and technological applications. However, fitted models can be highly unreliable outside of their training domain, and hence the quantification of their uncertainty is crucial in many of…

Machine Learning · Statistics 2024-03-05 Filippo Bigi , Sanggyu Chong , Michele Ceriotti , Federico Grasselli

We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

Machine Learning · Statistics 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg

Bayesian decision theory provides an elegant framework for acting optimally under uncertainty when tractable posterior distributions are available. Modern Bayesian models, however, typically involve intractable posteriors that are…

Machine Learning · Computer Science 2021-06-15 Meet P. Vadera , Soumya Ghosh , Kenney Ng , Benjamin M. Marlin

Quantifying uncertainty in deep regression models is important both for understanding the confidence of the model and for safe decision-making in high-risk domains. Existing approaches that yield prediction intervals overlook distributional…

Machine Learning · Computer Science 2025-12-02 Adriel Sosa Marco , John Daniel Kirwan , Alexia Toumpa , Simos Gerasimou

Recent advances in deep learning have shown that uncertainty estimation is becoming increasingly important in applications such as medical imaging, natural language processing, and autonomous systems. However, accurately quantifying…

Machine Learning · Computer Science 2023-07-04 Uddeshya Upadhyay , Jae Myung Kim , Cordelia Schmidt , Bernhard Schölkopf , Zeynep Akata

Estimating uncertainty from deep neural networks is a widely used approach for detecting out-of-distribution (OoD) samples, which typically exhibit high predictive uncertainty. However, conventional methods such as Monte Carlo (MC) Dropout…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 JinYoung Kim , DaeUng Jo , Kimin Yun , Jeonghyo Song , Youngjoon Yoo

With the rapid advancement in the performance of deep neural networks (DNNs), there has been significant interest in deploying and incorporating artificial intelligence (AI) systems into real-world scenarios. However, many DNNs lack the…

Machine Learning · Computer Science 2024-07-18 Mijoo Kim , Junseok Kwon

Neural Networks have high accuracy in solving problems where it is difficult to detect patterns or create a logical model. However, these algorithms sometimes return wrong solutions, which become problematic in high-risk domains like…

Machine Learning · Computer Science 2025-06-26 Miguel N. Font , José L. Jorro-Aragoneses , Carlos M. Alaíz

We address the problem of uncertainty calibration and introduce a novel calibration method, Parametrized Temperature Scaling (PTS). Standard deep neural networks typically yield uncalibrated predictions, which can be transformed into…

Machine Learning · Computer Science 2022-09-20 Christian Tomani , Daniel Cremers , Florian Buettner

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

The quantification of uncertainty is important for the adoption of machine learning, especially to reject out-of-distribution (OOD) data back to human experts for review. Yet progress has been slow, as a balance must be struck between…

Machine Learning · Computer Science 2022-09-12 Derek Everett , Andre T. Nguyen , Luke E. Richards , Edward Raff