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There is a wide range of stabilized finite element methods for stationary and non-stationary convection-diffusion equations such as streamline diffusion methods, local projection schemes, subgrid-scale techniques, and continuous interior…

Numerical Analysis · Mathematics 2014-02-25 L. Tobiska , R. Verfürth

We propose a robust inferential procedure for assessing uncertainties of parameter estimation in high-dimensional linear models, where the dimension $p$ can grow exponentially fast with the sample size $n$. Our method combines the…

Machine Learning · Statistics 2015-03-19 Tianqi Zhao , Mladen Kolar , Han Liu

Fatigue strength estimation is a costly manual material characterization process in which state-of-the-art approaches follow a standardized experiment and analysis procedure. In this paper, we examine a modular, Machine Learning-based…

Machine Learning · Computer Science 2022-12-05 Dorina Weichert , Alexander Kister , Sebastian Houben , Gunar Ernis , Stefan Wrobel

A new class of distributions based on phase-type distributions is introduced in the current paper to model lifetime data in the field of reliability analysis. This one is the natural extension of the distribution proposed by Acal et al.…

Methodology · Statistics 2025-01-13 Juan Eloy Ruiz-Castro , Christian Acal , Juan B. Roldán

We discuss the problem how to determine the quality of a nonlinear system with respect to a measurement task. Due to amplification, filtering, quantization and internal noise sources physical measurement equipment in general exhibits a…

Information Theory · Computer Science 2016-11-17 Manuel Stein , Josef A. Nossek , Kurt Barbé

In this article, the estimation of reliability of a system is discussed $p(y<x)$ when strength, $X$, and stress, $Y$, are two independent exponential distribution with different scale parameters when the available data are type II Censored…

Methodology · Statistics 2008-01-08 A. M. Abd Elfattah , O. Mohamed Marwa

Sequential trial emulation (STE) is an approach to estimating causal treatment effects by emulating a sequence of target trials from observational data. In STE, inverse probability weighting is commonly utilised to address time-varying…

Methodology · Statistics 2025-07-10 Juliette M. Limozin , Shaun R. Seaman , Li Su

In this paper the accuracy and robustness of quality measures for the assessment of machine learning models are investigated. The prediction quality of a machine learning model is evaluated model-independent based on a cross-validation…

Machine Learning · Statistics 2024-10-07 Thomas Most , Lars Gräning , Sebastian Wolff

This paper proposes a resilient state estimator for LTI discrete-time systems. The dynamic equation of the system is assumed to be affected by a bounded process noise. As to the available measurements, they are potentially corrupted by a…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Alexandre Kircher , Laurent Bako , Eric Blanco , Mohamed Benallouch

In this paper, by proposing two new kinds of distributional uncertainty sets, we explore robustness of distortion risk measures against distributional uncertainty. To be precise, we first consider a distributional uncertainty set which is…

Risk Management · Quantitative Finance 2025-08-15 Xiangyu Han , Yijun Hu , Ran Wang , Linxiao Wei

We conduct a large empirical evaluation to investigate the landscape of distributional robustness in question answering. Our investigation spans over 350 models and 16 question answering datasets, including a diverse set of architectures,…

Computation and Language · Computer Science 2022-10-25 Anas Awadalla , Mitchell Wortsman , Gabriel Ilharco , Sewon Min , Ian Magnusson , Hannaneh Hajishirzi , Ludwig Schmidt

Deep Learning (DL) is increasingly used in safety-critical applications, raising concerns about its reliability. DL suffers from a well-known problem of lacking robustness, especially when faced with adversarial perturbations known as…

Software Engineering · Computer Science 2023-09-06 Wei Huang , Xingyu Zhao , Alec Banks , Victoria Cox , Xiaowei Huang

The shot-noise unit in continuous-variable quantum key distribution plays an important and fundamental role in experimental implementation as it is used as a normalization parameter that contribute to perform security analysis and distill…

Quantum Physics · Physics 2020-02-25 Yi-Chen Zhang , Yundi Huang , Ziyang Chen , Zhengyu Li , Song Yu , Hong Guo

Data-driven risk analysis involves the inference of probability distributions from measured or simulated data. In the case of a highly reliable system, such as the electricity grid, the amount of relevant data is often exceedingly limited,…

Methodology · Statistics 2017-07-11 Simon H. Tindemans , Goran Strbac

We present a longitudinal, drift-aware evaluation of adversarial robustness across more than a decade of Android applications using static and dynamic feature representations extracted from emulator and real-device executions. The dataset…

Cryptography and Security · Computer Science 2026-05-25 Ahmed Sabbah , Mohammed Kharma , Radi Jarrar , Samer Zein , David Mohaisen

There are many high dimensional function classes that have fast agnostic learning algorithms when assumptions on the distribution of examples can be made, such as Gaussianity or uniformity over the domain. But how can one be confident that…

Machine Learning · Computer Science 2022-11-22 Ronitt Rubinfeld , Arsen Vasilyan

Causal inference on the average treatment effect (ATE) using non-probability samples, such as electronic health records (EHR), faces challenges from sample selection bias and high-dimensional covariates. This requires considering a…

Methodology · Statistics 2024-03-28 Jiacong Du , Xu Shi , Donglin Zeng , Bhramar Mukherjee

In safety-critical deep learning applications, robustness measures the ability of neural models that handle imperceptible perturbations in input data, which may lead to potential safety hazards. Existing pre-deployment robustness assessment…

Machine Learning · Computer Science 2025-08-27 Wenchuan Mu , Kwan Hui Lim

In clinical follow-up studies with a time-to-event end point, the difference in the restricted mean survival time (RMST) is a suitable substitute for the hazard ratio (HR). However, the RMST only measures the survival of patients over a…

Methodology · Statistics 2023-06-27 Zijing Yang , Chengfeng Zhang , Yawen Hou , Zheng Chen

A recursive state estimation procedure is derived for a linear time varying system with both parametric uncertainties and stochastic measurement droppings. This estimator has a similar form as that of the Kalman filter with intermittent…

Systems and Control · Computer Science 2016-11-17 Tong Zhou