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An important task of uncertainty quantification is to identify {the probability of} undesired events, in particular, system failures, caused by various sources of uncertainties. In this work we consider the construction of Gaussian…

Computation · Statistics 2016-04-20 Hongqiao Wang , Guang Lin , Jinglai Li

Controlling the photon statistics of light is paramount for quantum science and technologies. Recently, we demonstrated that transmitting resonant laser light past an ensemble of two-level emitters can result in a stream of single photons…

Quantum Physics · Physics 2022-12-20 Martin Cordier , Max Schemmer , Philipp Schneeweiss , Jürgen Volz , Arno Rauschenbeutel

This paper describes a simple, causally deterministic model of quantum measurement based on an amplitude threshold detection scheme. Surprisingly, it is found to reproduce many phenomena normally thought to be uniquely quantum in nature. To…

Quantum Physics · Physics 2021-04-28 Brian R. La Cour

This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by…

Methodology · Statistics 2025-08-28 Carson McKee , Maria Kalli

Quantum information technologies provide promising applications in communication and computation, while machine learning has become a powerful technique for extracting meaningful structures in 'big data'. A crossover between quantum…

The characterization of collective behavior and nonequilibrium phase transitions in quantum systems is typically rooted in the analysis of suitable system observables, so-called order parameters. These observables might not be known a…

Quantum Physics · Physics 2026-02-20 Erik Fitzner , Francesco Carnazza , Federico Carollo , Igor Lesanovsky

While previous distribution shift detection approaches can identify if a shift has occurred, these approaches cannot localize which specific features have caused a distribution shift -- a critical step in diagnosing or fixing any underlying…

Machine Learning · Computer Science 2021-07-16 Sean Kulinski , Saurabh Bagchi , David I. Inouye

Quantum error correction in general is experimentally challenging as it requires significant expansion of the size of quantum circuits and accurate performance of quantum gates to fulfill the error threshold requirement. Here we propose a…

Quantum Physics · Physics 2012-06-04 C. Shen , L. -M. Duan

We show that quantum detector tomography can be applied to the human visual system to explore human perception of photon number states. In detector tomography, instead of using very hard to produce photon number states, the response of a…

Quantum Physics · Physics 2023-01-20 T. H. A. van der Reep , D. Molenaar , W. Löffler , Y. Pinto

Online algorithms for detecting changepoints, or abrupt shifts in the behavior of a time series, are often deployed with limited resources, e.g., to edge computing settings such as mobile phones or industrial sensors. In these scenarios it…

Machine Learning · Statistics 2021-07-27 Gregory W. Gundersen , Diana Cai , Chuteng Zhou , Barbara E. Engelhardt , Ryan P. Adams

Change point detection algorithms have numerous applications in fields of scientific and economic importance. We consider the problem of change point detection on compositional multivariate data (each sample is a probability mass function),…

Applications · Statistics 2019-01-16 Prabuchandran K. J. , Nitin Singh , Pankaj Dayama , Vinayaka Pandit

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

Methodology · Statistics 2017-07-12 Paul Fearnhead , Guillem Rigaill

This article studies the problem of online non-parametric change point detection in multivariate data streams. We approach the problem through the lens of kernel-based two-sample testing and introduce a sequential testing procedure based on…

Machine Learning · Statistics 2025-10-31 Florian Kalinke , Shakeel Gavioli-Akilagun

We study the problem of detecting change points (CPs) that are characterized by a subset of dimensions in a multi-dimensional sequence. A method for detecting those CPs can be formulated as a two-stage method: one for selecting relevant…

Machine Learning · Statistics 2018-03-05 Yuta Umezu , Ichiro Takeuchi

The problem of detecting changes in the statistical properties of a stochastic system and time series arises in various branches of science and engineering. It has a wide spectrum of important applications ranging from machine monitoring to…

Statistics Theory · Mathematics 2012-11-19 Venugopal V. Veeravalli , Taposh Banerjee

An engineering technique using continuous quantum measurement together with a change detection algorithm is proposed to improve the probability of single photon emission for a quantum-dot based single-photon source. The technique involves…

Quantum Physics · Physics 2010-10-29 Shesha Raghunathan , Todd Brun

We generalize the classic change-point problem to a "change-set" framework: a spatial Poisson process changes its intensity on an unobservable random set. Optimal detection of the set is defined by maximizing the expected value of a gain…

Probability · Mathematics 2010-09-30 B. Gail Ivanoff , Ely Merzbach

The problem of sequential change diagnosis is considered, where observations are obtained on-line, an abrupt change occurs in their distribution, and the goal is to quickly detect the change and accurately identify the post-change…

Statistics Theory · Mathematics 2022-11-24 Austin Warner , Georgios Fellouris

The problem of detecting the presence of a signal that can lead to a disaster is studied. A decision-maker collects data sequentially over time. At some point in time, called the change point, the distribution of data changes. This change…

Signal Processing · Electrical Eng. & Systems 2023-03-07 Tim Brucks , Taposh Banerjee , Rahul Mishra

Achieving ultimate bounds in estimation processes is the main objective of quantum metrology. In this context, several problems require measurement of multiple parameters by employing only a limited amount of resources. To this end,…

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