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Quantum continuous measurement strategies consist an essential element in many modern sensing technologies leading to potentially enhanced estimation of unknown physical parameters. In such schemes, continuous monitoring of the quantum…

Quantum Physics · Physics 2025-05-01 Theodoros Ilias

Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to…

Quantum Physics · Physics 2009-11-06 Masanao Ozawa

Designing scalable estimation algorithms is a core challenge in modern statistics. Here we introduce a framework to address this challenge based on parallel approximants, which yields estimators with provable properties that operate on the…

Methodology · Statistics 2023-08-04 Aritra Chakravorty , William S. Cleveland , Patrick J. Wolfe

An algorithm for the estimation of multiple targets from partial and corrupted observations is introduced based on the concept of partially-distinguishable multi-target system. It combines the advantages of engineering solutions like MHT…

Probability · Mathematics 2017-12-05 J. Houssineau , D. E. Clark

The present work proposes the concept of induced percolation over multiple-object systems, so that features such as the number of merged clusters can be used as a relevant measurement. The suggested approach involves the expansion of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa

Quantum photonics has demonstrated its potential for enhanced sensing. Current sources of quantum light states tailored to measuring, allow to monitor phenomena evolving on time scales of the order of the second. These are characteristic of…

High-resolution radar sensors are able to resolve multiple detections per object and therefore provide valuable information for vehicle environment perception. For instance, multiple detections allow to infer the size of an object or to…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Alexander Scheel , Klaus Dietmayer

Enhanced sampling algorithms have emerged as powerful methods to extend the utility of molecular dynamics simulations and allow the sampling of larger portions of the configuration space of complex systems in a given amount of simulation…

Statistical Mechanics · Physics 2022-12-19 Jérôme Hénin , Tony Lelièvre , Michael R. Shirts , Omar Valsson , Lucie Delemotte

Joint models of longitudinal and event-time data have been extensively studied and applied in many different fields. Estimation of joint models is challenging, most present procedures are computational expensive and have a strict…

Methodology · Statistics 2018-09-05 Yanqiao Zheng , Xiaobing Zhao , Xiaoqi Zhang

Quantum state estimation for continuously monitored dynamical systems involves assigning a quantum state to an individual system at some time, conditioned on the results of continuous observations. The quality of the estimation depends on…

Quantum Physics · Physics 2022-05-26 Areeya Chantasri , Ivonne Guevara , Kiarn T. Laverick , Howard M. Wiseman

The causal inference literature frequently focuses on estimating the mean of the potential outcome, whereas quantiles of the potential outcome may carry important additional information. We propose a unified approach, based on the inverse…

Methodology · Statistics 2024-08-16 Chao Cheng , Fan Li

We address the problem of estimating smoothly varying baseline trends in time series data. This problem arises in a wide range of fields, including chemistry, macroeconomics, and medicine; however, our study is motivated by the analysis of…

Methodology · Statistics 2019-04-26 Halley L. Brantley , Joseph Guinness , Eric C. Chi

Conditional cumulants form a set of unique statistics which represent a sensible compromise between N-point correlation functions and cumulants measured from moments of counts in cells. They share accurate edge corrected estimators with…

Astrophysics · Physics 2009-11-10 Jun Pan , Istvan Szapudi

Approximating quantiles and distributions over streaming data has been studied for roughly two decades now. Recently, Karnin, Lang, and Liberty proposed the first asymptotically optimal algorithm for doing so. This manuscript complements…

Data Structures and Algorithms · Computer Science 2019-07-02 Nikita Ivkin , Edo Liberty , Kevin Lang , Zohar Karnin , Vladimir Braverman

Within heterogeneous treatment effect (HTE) analysis, various estimands have been proposed to capture the effect of a treatment conditional on covariates. Recently, the conditional quantile comparator (CQC) has emerged as a promising…

Methodology · Statistics 2026-01-28 Josh Givens , Song Liu , Henry W J Reeve , Katarzyna Reluga

With recent advances in sensing and tracking technology, trajectory data is becoming increasingly pervasive and analysis of trajectory data is becoming exceedingly important. A fundamental problem in analyzing trajectory data is that of…

Computational Geometry · Computer Science 2013-03-08 Swaminathan Sankararaman , Pankaj K. Agarwal , Thomas Mølhave , Arnold P. Boedihardjo

This paper considers the data association problem for multi-target tracking. Multiple hypothesis tracking is a popular algorithm for solving this problem but it is NP-hard and is is quite complicated for a large number of targets or for…

Information Theory · Computer Science 2021-05-05 Haiqi Liu , Xiaojing Shen , Zhiguo Wang , Fanqin Meng , Junfeng Wang , Pramod , Varshney

We introduce new quantile estimators with adaptive importance sampling. The adaptive estimators are based on weighted samples that are neither independent nor identically distributed. Using a new law of iterated logarithm for martingales,…

Statistics Theory · Mathematics 2010-03-01 Daniel Egloff , Markus Leippold

Information theoretic quantities are extremely useful in discovering relationships between two or more data sets. One popular method---particularly for continuous systems---for estimating these quantities is the nearest neighbour…

Computation · Statistics 2017-10-19 Joshua Brown , Terry Bossomaier , Lionel Barnett

This paper introduces the method of composite quantile factor model for factor analysis in high-dimensional panel data. We propose to estimate the factors and factor loadings across multiple quantiles of the data, allowing the estimates to…

Econometrics · Economics 2024-12-03 Xiao Huang