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We consider multi-time correlators for output signals from linear detectors, continuously measuring several qubit observables at the same time. Using the quantum Bayesian formalism, we show that for unital (symmetric) evolution in the…

Today, very large amounts of data are produced and stored in all branches of society including science. Mining these data meaningfully has become a considerable challenge and is of the broadest possible interest. The size, both in numbers…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Andreas Vitalis

Critical parts of the definitions of standard serial and standard parallel modes refer to stochastic independence. Standard serial models are defined by stochastic independence and identical distributions of their processing times.…

Neurons and Cognition · Quantitative Biology 2019-02-13 Ru Zhang , Yanjun Liu , James T Townsend

We consider the problem of testing whether two finite-dimensional random dot product graphs have generating latent positions that are independently drawn from the same distribution, or distributions that are related via scaling or…

Statistics Theory · Mathematics 2015-11-13 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

This paper proposes several tests of restricted specification in nonparametric instrumental regression. Based on series estimators, test statistics are established that allow for tests of the general model against a parametric or…

Econometrics · Economics 2019-09-24 Christoph Breunig

Two key identifying assumptions used to justify difference-in-differences are parallel trends and no anticipation, yet both may fail in practice. I propose a class of assumptions on anticipation and derive closed-form, sharp bounds on the…

Econometrics · Economics 2026-03-03 Gianna Fenaroli

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is…

Logic in Computer Science · Computer Science 2010-06-29 Alessandro Aldini

The problem of universal outlying sequence detection is studied, where the goal is to detect outlying sequences among $M$ sequences of samples. A sequence is considered as outlying if the observations therein are generated by a distribution…

Information Theory · Computer Science 2020-05-27 Yuheng Bu , Shaofeng Zou , Venugopal V. Veeravalli

A distance-based inconsistency indicator, defined by the third author for the consistency-driven pairwise comparisons method, is extended to the incomplete case. The corresponding optimization problem is transformed into an equivalent…

Other Computer Science · Computer Science 2015-05-11 S. Bozoki , J. Fulop , W. W. Koczkodaj

In this article, we revisit and expand our prior work on graph similarity. As with our earlier work, we focus on a view of similarity which does not require node correspondence between graphs under comparison. Our work is suited to the…

Discrete Mathematics · Computer Science 2025-12-10 Pierre Miasnikof , Alexander Y. Shetopaloff

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

Methodology · Statistics 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

Statistical differentiability of the measure along the reconstructed trajectory is a good candidate to quantify determinism in time series. The procedure is based upon a formula that explicitly shows the sensitivity of the measure to…

Chaotic Dynamics · Physics 2009-10-31 Guillermo J. Ortega , Enrique Louis

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series. We can detect general multiple structural changes in the tails of marginal…

Econometrics · Economics 2025-10-07 Lin Fan , Junting Duan , Peter W. Glynn , Markus Pelger

This paper introduces a novel nonparametric criterion for determining the appropriate number of clusters, which is derived from the spatial median. The method is constructed to reconcile two competing objectives of cluster analysis: the…

Computation · Statistics 2025-09-26 Hend Gabr , Brian H Willis , Mohammed Baragilly

This paper is concerned with inference based on the mean function of a functional time series, which is defined as a collection of curves obtained by splitting a continuous time record, e.g. into daily or annual curves. We develop a normal…

Statistics Theory · Mathematics 2011-05-03 Lajos Horvath , Piotr Kokoszka , Ron Reeder

Time series clustering is the process of grouping time series with respect to their similarity or characteristics. Previous approaches usually combine a specific distance measure for time series and a standard clustering method. However,…

In astronomy, there is an opportunity to enhance the practice of validating models through statistical techniques, specifically to account for measurement error uncertainties. While models are commonly used to describe observations, there…

Instrumentation and Methods for Astrophysics · Physics 2023-08-09 Fiorenzo Stoppa , Eric Cator , Gijs Nelemans

This paper studies the matched network inference problem, where the goal is to determine if two networks, defined on a common set of nodes, exhibit a specific form of stochastic similarity. Two notions of similarity are considered: (i)…

Methodology · Statistics 2025-02-06 Somnath Bhadra , Kaustav Chakraborty , Srijan Sengupta , Soumendra Lahiri

Recognizing subtle historical patterns is central to modeling and forecasting problems in time series analysis. Here we introduce and develop a new approach to quantify deviations in the underlying hidden generators of observed data…

Machine Learning · Statistics 2019-10-09 Yi Huang , Ishanu Chattopadhyay

We introduce two novel non-parametric statistical hypothesis tests. The first test, called the relative test of dependency, enables us to determine whether one source variable is significantly more dependent on a first target variable or a…

Artificial Intelligence · Computer Science 2016-11-18 Wacha Bounliphone , Eugene Belilovsky , Arthur Tenenhaus , Ioannis Antonoglou , Arthur Gretton , Matthew B. Blashcko