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The Bayesian inversion method demonstrates significant potential for solving inverse problems, enabling both point estimation and uncertainty quantification (UQ). However, Bayesian maximum a posteriori (MAP) estimation may become unstable…

数值分析 · 数学 2025-06-04 Ruibiao Song , Liying Zhang

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

统计方法学 · 统计学 2023-10-27 Kimia Vahdat , Sara Shashaani

Deep learning methods have reached state-of-the-art performance in cardiac image segmentation. Currently, the main bottleneck towards their effective translation into clinics requires assuring continuous high model performance and…

图像与视频处理 · 电气工程与系统科学 2021-06-15 Francesco Galati , Maria A. Zuluaga

Implicit neural representations (INRs) have achieved impressive results for scene reconstruction and computer graphics, where their performance has primarily been assessed on reconstruction accuracy. As INRs make their way into other…

图像与视频处理 · 电气工程与系统科学 2023-05-04 Francisca Vasconcelos , Bobby He , Nalini Singh , Yee Whye Teh

This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

机器学习 · 统计学 2015-09-11 Lucas Mentch , Giles Hooker

Accurate segmentation of brain tumors is vital for diagnosis, surgical planning, and treatment monitoring. Deep learning has advanced on benchmarks, but two issues limit clinical use: no uncertainty estimates for errors and no segmentation…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Andrew Zhou

Rigorous statistical methods, including parameter estimation with accompanying uncertainties, underpin the validity of scientific discovery, especially in the natural sciences. With increasingly complex data models such as deep learning…

机器学习 · 计算机科学 2026-02-18 Aurora Grefsrud , Nello Blaser , Trygve Buanes

As deep learning applications are becoming more and more pervasive in robotics, the question of evaluating the reliability of inferences becomes a central question in the robotics community. This domain, known as predictive uncertainty, has…

机器学习 · 统计学 2019-08-21 Michel Moukari , Loïc Simon , Sylvaine Picard , Frédéric Jurie

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

统计方法学 · 统计学 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

Monte Carlo (MC) dropout is one of the state-of-the-art approaches for uncertainty estimation in neural networks (NNs). It has been interpreted as approximately performing Bayesian inference. Based on previous work on the approximation of…

机器学习 · 计算机科学 2020-07-13 Joachim Sicking , Maram Akila , Tim Wirtz , Sebastian Houben , Asja Fischer

Convolutional neural networks (CNNs) have shown promising results on several segmentation tasks in magnetic resonance (MR) images. However, the accuracy of CNNs may degrade severely when segmenting images acquired with different scanners…

机器学习 · 统计学 2018-05-28 Neerav Karani , Krishna Chaitanya , Christian Baumgartner , Ender Konukoglu

Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

机器学习 · 计算机科学 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

We present a deep learning framework for probabilistic pixel-wise semantic segmentation, which we term Bayesian SegNet. Semantic segmentation is an important tool for visual scene understanding and a meaningful measure of uncertainty is…

计算机视觉与模式识别 · 计算机科学 2016-10-12 Alex Kendall , Vijay Badrinarayanan , Roberto Cipolla

Understanding decisions made by neural networks is key for the deployment of intelligent systems in real world applications. However, the opaque decision making process of these systems is a disadvantage where interpretability is essential.…

机器学习 · 计算机科学 2023-04-12 Kai Fischer , Jonas Schneider

A major challenge in brain tumor treatment planning and quantitative evaluation is determination of the tumor extent. The noninvasive magnetic resonance imaging (MRI) technique has emerged as a front-line diagnostic tool for brain tumors…

计算机视觉与模式识别 · 计算机科学 2017-06-06 Hao Dong , Guang Yang , Fangde Liu , Yuanhan Mo , Yike Guo

Fully convolutional neural networks (FCNs), and in particular U-Nets, have achieved state-of-the-art results in semantic segmentation for numerous medical imaging applications. Moreover, batch normalization and Dice loss have been used…

图像与视频处理 · 电气工程与系统科学 2020-07-06 Alireza Mehrtash , William M. Wells , Clare M. Tempany , Purang Abolmaesumi , Tina Kapur

Approximating integrals is a fundamental task in probability theory and statistical inference, and their applied fields of signal processing, and Bayesian learning, as soon as expectations over probability distributions must be computed…

统计理论 · 数学 2026-05-06 Solal Martin , Emilie Chouzenoux , Victor Elvira

We evaluate the uncertainty quality in neural networks using anomaly detection. We extract uncertainty measures (e.g. entropy) from the predictions of candidate models, use those measures as features for an anomaly detector, and gauge how…

机器学习 · 统计学 2016-12-26 Ramon Oliveira , Pedro Tabacof , Eduardo Valle

Purpose: The localisation and segmentation of individual bones is an important preprocessing step in many planning and navigation applications. It is, however, a time-consuming and repetitive task if done manually. This is true not only for…

图像与视频处理 · 电气工程与系统科学 2022-08-22 Eva Schnider , Antal Huck , Mireille Toranelli , Georg Rauter , Azhar Zam , Magdalena Müller-Gerbl , Philippe Cattin