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Monocular normal estimation aims to estimate the normal map from a single RGB image of an object under arbitrary lights. Existing methods rely on deep models to directly predict normal maps. However, they often suffer from 3D misalignment:…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Zongrui Li , Xinhua Ma , Minghui Hu , Yunqing Zhao , Yingchen Yu , Qian Zheng , Chang Liu , Xudong Jiang , Song Bai

This study investigates a robust screening problem under distributional ambiguity, where a seller is uncertain about a buyer's true valuation distribution, knowing only that it lies near a reference distribution measured by the Wasserstein…

Optimization and Control · Mathematics 2026-05-19 Shumin Ma , Daniel Zhuoyu Long , Lijian Lu

We consider geothermal inverse problems and uncertainty quantification from a Bayesian perspective. Our main goal is to make standard, `out-of-the-box' Markov chain Monte Carlo (MCMC) sampling more feasible for complex simulation models by…

This paper extends the work of Clarke [1] on the Bayesian foundations of the biomagnetic inverse problem. It derives expressions for the expectation and variance of the a posteriori source current probability distribution given a prior…

Medical Physics · Physics 2009-10-31 R. Hasson , S. J. Swithenby

The standard approach to Bayesian inference is based on the assumption that the distribution of the data belongs to the chosen model class. However, even a small violation of this assumption can have a large impact on the outcome of a…

Methodology · Statistics 2015-06-22 Jeffrey W. Miller , David B. Dunson

Optical coherence tomography (OCT) is commonly used to analyze retinal layers for assessment of ocular diseases. In this paper, we propose a method for retinal layer segmentation and quantification of uncertainty based on Bayesian deep…

Computer Vision and Pattern Recognition · Computer Science 2018-09-13 Suman Sedai , Bhavna Antony , Dwarikanath Mahapatra , Rahil Garnavi

Diagnostic tests play a crucial role in medical care. Thus any new diagnostic tests must undergo a thorough evaluation. New diagnostic tests are evaluated in comparison with the respective gold standard tests. The performance of binary…

Applications · Statistics 2025-09-17 Wan Nor Arifin , Umi Kalsom Yusof

A proposal to improve routing security---Route Origin Authorization (ROA)---has been standardized. A ROA specifies which network is allowed to announce a set of Internet destinations. While some networks now specify ROAs, little is known…

Networking and Internet Architecture · Computer Science 2018-05-08 Andreas Reuter , Randy Bush , Ítalo Cunha , Ethan Katz-Bassett , Thomas C. Schmidt , Matthias Wählisch

Selective classification (or classification with a reject option) pairs a classifier with a selection function to determine whether or not a prediction should be accepted. This framework trades off coverage (probability of accepting a…

Machine Learning · Computer Science 2023-02-23 Andrea Pugnana , Salvatore Ruggieri

One central goal of design of observational studies is to embed non-experimental data into an approximate randomized controlled trial using statistical matching. Despite empirical researchers' best intention and effort to create…

Methodology · Statistics 2022-06-22 Kan Chen , Siyu Heng , Qi Long , Bo Zhang

We present an extension to the robust phase estimation protocol, which can identify incorrect results that would otherwise lie outside the expected statistical range. Robust phase estimation is increasingly a method of choice for…

Speed-of-sound (SoS) is a biomechanical characteristic of tissue, and its imaging can provide a promising biomarker for diagnosis. Reconstructing SoS images from ultrasound acquisitions can be cast as a limited-angle computed-tomography…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Sonia Laguna , Lin Zhang , Can Deniz Bezek , Monika Farkas , Dieter Schweizer , Rahel A. Kubik-Huch , Orcun Goksel

External information borrowing is often considered in order to improve a clinical trial's efficiency. The Bayesian approach borrows such external information by specifying an informative prior distribution. A potential issue with this…

Methodology · Statistics 2025-08-25 Silvia Calderazzo , Manuel Wiesenfarth , Vivienn Weru , Annette Kopp-Schneider

It is very well known that when the exact line search gradient descent method is applied to a convex quadratic objective, the worst-case rate of convergence (ROC), among all seed vectors, deteriorates as the condition number of the Hessian…

Numerical Analysis · Mathematics 2025-05-19 Thomas Yu

Missing data in supervised learning is well-studied, but the specific issue of missing labels during model evaluation has been overlooked. Ignoring samples with missing values, a common solution, can introduce bias, especially when data is…

Machine Learning · Computer Science 2025-04-28 Danial Dervovic , Michael Cashmore

In this paper, the sufficient condition in terms of the RIC and ROC for the stable and robust recovery of signals in both noiseless and noisy settings was established via weighted $l_{1}$ minimization when there is partial prior information…

Information Theory · Computer Science 2016-03-15 Wengu Chen , Yaling Li

Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\theta$ of physical significance which…

Statistics Theory · Mathematics 2014-03-05 Prithwish Bhaumik , Subhashis Ghosal

Nonparametric estimation using uniform-width binning is a standard approach for evaluating the calibration performance of machine learning models. However, existing theoretical analyses of the bias induced by binning are limited to binary…

Machine Learning · Computer Science 2025-07-14 Masahiro Fujisawa , Futoshi Futami

Bayesian simulation-based inference (SBI) methods are used in statistical models where simulation is feasible but the likelihood is intractable. Standard SBI methods can perform poorly in cases of model misspecification, and there has been…

Methodology · Statistics 2025-04-15 Wang Yuyan , Michael Evans , David J. Nott

Bayesian optimization is widely used for hyperparameter optimization when model evaluations are expensive; however, noisy acquisition estimates can lead to unstable decisions. We identify acquisition estimation noise as a failure mode that…

Machine Learning · Computer Science 2026-05-08 Maresa Schröder , Pascal Janetzky , Michael Klar , Stefan Feuerriegel
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