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Improved procedures, in terms of smaller missed discovery rates (MDR), for performing multiple hypotheses testing with weak and strong control of the family-wise error rate (FWER) or the false discovery rate (FDR) are developed and studied.…

Statistics Theory · Mathematics 2011-03-10 Edsel A. Peña , Joshua D. Habiger , Wensong Wu

The dynamics of entanglement in `hybrid' non-unitary circuits (for example, involving both unitary gates and quantum measurements) has recently become an object of intense study. A major hurdle toward experimentally realizing this physics…

Disordered Systems and Neural Networks · Physics 2021-02-11 Matteo Ippoliti , Vedika Khemani

In this paper, we consider distributed maximum likelihood estimation (MLE) with dependent quantized data under the assumption that the structure of the joint probability density function (pdf) is known, but it contains unknown deterministic…

Information Theory · Computer Science 2013-09-17 Xiaojing Shen , Pramod K. Varshney , Yunmin Zhu

When the cost of misclassifying a sample is high, it is useful to have an accurate estimate of uncertainty in the prediction for that sample. There are also multiple types of uncertainty which are best estimated in different ways, for…

Machine Learning · Computer Science 2019-03-18 Richard Harang , Ethan M. Rudd

In the report the approach to estimation of quality of planned experiments is considered. This approach is based on the analysis of uncertainty, which will take place under the future hypotheses testing about the existence of a new…

Data Analysis, Statistics and Probability · Physics 2009-11-10 S. I. Bityukov , N. V. Krasnikov

Quantum hypothesis testing plays a pivotal role in quantum technologies, making decisions or drawing conclusions about quantum systems based on observed data. Recently, quantum control techniques have been successfully applied to quantum…

Quantum Physics · Physics 2025-10-16 Han Xu , Benran Wang , Haidong Yuan , Xin Wang

Quality-Diversity optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Manon Flageat , Antoine Cully

Random effects are a flexible addition to statistical models to capture structural heterogeneity in the data, such as spatial dependencies, individual differences, temporal dependencies, or non-linear effects. Testing for the presence (or…

Methodology · Statistics 2024-10-21 Fabio Vieira , Hongwei Zhao , Joris Mulder

In this work we study binary classification problems where we assume that our training data is subject to uncertainty, i.e. the precise data points are not known. To tackle this issue in the field of robust machine learning the aim is to…

Machine Learning · Computer Science 2022-03-04 Jannis Kurtz

We consider two conceptually different approaches for assessing the reliability of the individual predictions of a classifier: Robustness Quantification (RQ) and Uncertainty Quantification (UQ). We compare both approaches on a number of…

Machine Learning · Computer Science 2025-12-18 Adrián Detavernier , Jasper De Bock

Active learning is proposed for selection of the next operating points in the design of experiments, for identifying linear parameter-varying systems. We extend existing approaches found in literature to multiple-input multiple-output…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Robert Chin , Alejandro I. Maass , Nalika Ulapane , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe , Hayato Nakada

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

Uncertainty Quantification aims to determine when the prediction from a Machine Learning model is likely to be wrong. Computer Vision research has explored methods for determining epistemic uncertainty (also known as model uncertainty),…

Machine Learning · Computer Science 2024-03-15 Prithviraj Manivannan , Ivo Pascal de Jong , Matias Valdenegro-Toro , Andreea Ioana Sburlea

Robust decision making involves making decisions in the presence of uncertainty and is often used in critical domains such as healthcare, supply chains, and finance. Causality plays a crucial role in decision-making as it predicts the…

Methodology · Statistics 2025-07-23 Saideep Nannapaneni , Joseph Sakaya , Kyle Caron , Pedro HM Albuquerque , Zaid Tashman

In this paper, we introduce a probabilistic approach to risk assessment of robot systems by focusing on the impact of uncertainties. While various approaches to identifying systematic hazards (e.g., bugs, design flaws, etc.) can be found in…

Robotics · Computer Science 2024-10-28 Woo-Jeong Baek , Tom P. Huck , Joschka Haas , Jonas Lewandrowski , Tamim Asfour , Torsten Kröger

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

Machine Learning · Computer Science 2025-03-13 Shoma Yokura , Akihisa Ichiki

We present a critical survey on the consistency of uncertainty quantification used in deep learning and highlight partial uncertainty coverage and many inconsistencies. We then provide a comprehensive and statistically consistent framework…

Machine Learning · Computer Science 2026-01-14 Peter Jan van Leeuwen , J. Christine Chiu , C. Kevin Yang

We study a methodology to tackle the NASA Langley Uncertainty Quantification Challenge, a model calibration problem under both aleatory and epistemic uncertainties. Our methodology is based on an integration of robust optimization, more…

Methodology · Statistics 2021-08-18 Yuanlu Bai , Zhiyuan Huang , Henry Lam

This paper studies a risk-sensitive decision-making problem under uncertainty. It considers a decision-making process that unfolds over a fixed number of stages, in which a decision-maker chooses among multiple alternatives, some of which…

Optimization and Control · Mathematics 2026-01-07 Chung-Han Hsieh , Yi-Shan Wong

The modeling and uncertainty quantification of closed curves is an important problem in the field of shape analysis, and can have significant ramifications for subsequent statistical tasks. Many of these tasks involve collections of closed…

Machine Learning · Statistics 2023-03-15 Hengrui Luo , Justin D. Strait
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