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Due to the cost or interference of measurement, we need to control measurement system. Assuming that each variable can be measured sequentially, there exists optimal policy choosing next measurement for the former observations. Though…

Machine Learning · Computer Science 2022-04-11 Seongwook Yoon , Jaehyun Kim , Heejeong Lim , Sanghoon Sull

Self-testing is a method of quantum state and measurement estimation that does not rely on assumptions about the inner working of the used devices. Its experimental realization has been limited to sources producing single quantum states so…

Semantic segmentation networks (SSNs) are central to safety-critical applications such as medical imaging and autonomous driving, where robustness under uncertainty is essential. However, existing probabilistic verification methods often…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Navid Hashemi , Samuel Sasaki , Diego Manzanas Lopez , Lars Lindemann , Ipek Oguz , Meiyi Ma , Taylor T. Johnson

In nonadaptive group testing, the main research objective is to design an efficient algorithm to identify a set of up to $t$ positive elements among $n$ samples with as few tests as possible. Disjunct matrices and separable matrices are two…

Combinatorics · Mathematics 2021-10-15 Bingchen Qian , Xin Wang , Gennian Ge

Adversarial examples pose a security threat to many critical systems built on neural networks (such as face recognition systems, and self-driving cars). While many methods have been proposed to build robust models, how to build certifiably…

Machine Learning · Computer Science 2023-09-06 Ruihan Zhang , Peixin Zhang , Jun Sun

A key step in separating signal from noise in time series by means of singular spectrum analysis (SSA) is grouping. We present a multiple testing method for the grouping step in SSA. As separability criterion, we utilize the weighted…

Methodology · Statistics 2025-08-26 Maryam Movahedifar , Friederike Preusse , Anna Vesely , Thorsten Dickhaus

Quantum coherence represented by a superposition of energy eigenstates is, together with energy, an important resource for quantum technology and thermodynamics. Energy and quantum coherence however, can be complementary. The increase of…

Quantum Physics · Physics 2022-11-17 Mariia Gumberidze , Michal Kolář , Radim Filip

Density modelling is the task of learning an unknown probability density function from samples, and is one of the central problems of unsupervised machine learning. In this work, we show that there exists a density modelling problem for…

Quantum Physics · Physics 2023-04-17 Niklas Pirnay , Ryan Sweke , Jens Eisert , Jean-Pierre Seifert

This paper presents a formal verification guided approach for a principled design and implementation of robust and resilient learning-enabled systems. We focus on learning-enabled state estimation systems (LE-SESs), which have been widely…

Robotics · Computer Science 2024-04-09 Wei Huang , Yifan Zhou , Gaojie Jin , Youcheng Sun , Jie Meng , Fan Zhang , Xiaowei Huang

New testing and development procedures and methods are needed to address topics like power system stability, operation and control in the context of grid integration of rapidly developing smart grid technologies. In this context, individual…

Whether class labels in a given data set correspond to meaningful clusters is crucial for the evaluation of clustering algorithms using real-world data sets. This property can be quantified by separability measures. The central aspects of…

Machine Learning · Statistics 2025-04-11 Jana Gauss , Fabian Scheipl , Moritz Herrmann

Quantum state tomography is a technique in quantum information science used to reconstruct the density matrix of an unknown quantum state, providing complete information about the quantum state. It is of significant importance in fields…

Quantum Physics · Physics 2025-07-23 Wenlong Zhao , Da Zhang , Huili Zhang , Haifeng Yu , Zhang-qi Yin

We propose a method that employs static and dynamic analysis for augmenting a test suite with automatically generated unit tests. The method is most suitable for test suites where the stratification of unit, integration and system tests…

Software Engineering · Computer Science 2026-05-08 Katerina Paltoglou , Vassilis E. Zafeiris

Model misspecification can create significant challenges for the implementation of probabilistic models, and this has led to development of a range of robust methods which directly account for this issue. However, whether these more…

Machine Learning · Statistics 2025-04-22 Oscar Key , Arthur Gretton , François-Xavier Briol , Tamara Fernandez

In order to improve the fault diagnosis capability of multivariate statistical methods, this article introduces a fault isolation framework based on structured sparsity modeling. The developed method relies on the reconstruction based…

Applications · Statistics 2020-12-22 Wei Chen , Jiusun Zeng , Xiaobin Xu , Shihua Luo , Chuanhou Gao

We study the problem of testing whether the missing values of a potentially high-dimensional dataset are Missing Completely at Random (MCAR). We relax the problem of testing MCAR to the problem of testing the compatibility of a collection…

Statistics Theory · Mathematics 2024-12-13 Alberto Bordino , Thomas B. Berrett

The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we propose a novel statistical construction of the finite…

Methodology · Statistics 2021-01-25 Mark Girolami , Eky Febrianto , Ge Yin , Fehmi Cirak

Storage systems are fundamental to modern computing infrastructures, yet ensuring their correctness remains challenging in practice. Despite decades of research on system testing, many storage-system failures (including durability,…

Software Engineering · Computer Science 2026-02-09 Ying Wang , Jiahui Chen , Dejun Jiang

The achievement of quantum supremacy boosted the need for a robust medium of quantum information. In this task, higher-dimensional qudits show remarkable noise tolerance and enhanced security for quantum key distribution applications.…

Measurement incompatibility underpins randomness generation in nonlocal phenomena. However, at its root, a more fundamental quantum feature is noncommuting (or coherent) measurements. This raises a central question: How can we operationally…

Quantum Physics · Physics 2026-03-09 Chellasamy Jebarathinam , Huan-Yu Ku , Hsi-Sheng Goan