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A local hidden variable model exploiting the detection loophole to reproduce exactly the quantum correlation of the singlet state is presented. The model is shown to be compatible with both the CHSH and the CH Bell inequalities. Moreover,…

量子物理 · 物理学 2009-10-31 N. Gisin , B. Gisin

We study in this short comment the analogies and the differences that exist between several local hidden variable models.

量子物理 · 物理学 2007-05-23 Thomas Durt

A common problem in Bell type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply post-selects the conclusive events, one might observe a violation of a Bell inequality, even…

量子物理 · 物理学 2011-04-04 Cyril Branciard

We introduce local conditional hypotheses that express how the relation between explanatory variables and outcomes changes across different contexts, described by covariates. By expanding upon the model-X knockoff filter, we show how to…

统计方法学 · 统计学 2026-01-12 Paula Gablenz , Matteo Sesia , Tianshu Sun , Chiara Sabatti

We propose a coupled rejection-sampling method for sampling from couplings of arbitrary distributions. The method relies on accepting or rejecting coupled samples coming from dominating marginals. Contrary to existing acceptance-rejection…

统计方法学 · 统计学 2022-03-11 Adrien Corenflos , Simo Särkkä

Recent experiments have reached detection efficiencies sufficient to close the detection loophole with photons. Both experiments ran multiple successive trials in fixed measurement configurations, rather than randomly re-setting the…

量子物理 · 物理学 2015-05-21 Peter Bierhorst

A basic assumption behind the inequalities used for testing noncontextual hidden variable models is that the observables measured on the same individual system are perfectly compatible. However, compatibility is not perfect in actual…

Thompson sampling is an efficient algorithm for sequential decision making, which exploits the posterior uncertainty to address the exploration-exploitation dilemma. There has been significant recent interest in integrating Bayesian neural…

机器学习 · 统计学 2020-08-07 Zhendong Wang , Mingyuan Zhou

It has long been known that the "detection loophole", present when detector efficiencies are below a critical figure, could open the way for alternative "local realist" explanations for the violation of Bell tests. It has in recent years…

量子物理 · 物理学 2007-05-23 Caroline H. Thompson , Horst Holstein

In this paper we present a method to generate independent samples for a general random variable, either continuous or discrete. The algorithm is an extension of the acceptance-rejection method, and it is particularly useful for kinetic…

数值分析 · 数学 2016-08-24 Farzin Barekat , Russel Caflisch

The efficiency of Hamiltonian Monte Carlo (HMC) can suffer when sampling a distribution with a wide range of length scales, because the small step sizes needed for stability in high-curvature regions are inefficient elsewhere. To address…

机器学习 · 统计学 2023-11-09 Chirag Modi , Alex Barnett , Bob Carpenter

A simple classical, deterministic, local situation violating the Bell inequality is described. The detectors used in the experiment are ideal and the observers who decide which pair of measuring devices to choose for a given pair of…

量子物理 · 物理学 2009-09-25 Marek Czachor

An experiment has recently been performed to demonstrate quantum nonlocality by establishing contextuality in one of a pair of photons encoding four qubits; however, low detection efficiencies and use of the fair-sampling hypothesis leave…

量子物理 · 物理学 2021-04-27 Brian R. La Cour

We consider importance sampling for estimating the probability that a light-tailed $d$-dimensional random walk exits through one of many disjoint rare-event regions before reaching an anticipated target. This problem arises in sequential…

概率论 · 数学 2025-09-19 Yanglei Song , Georgios Fellouris

A number of problems in a variety of fields are characterised by target distributions with a multimodal structure in which the presence of several isolated local maxima dramatically reduces the efficiency of Markov Chain Monte Carlo…

统计方法学 · 统计学 2009-07-31 Miquel Trias , Alberto Vecchio , John Veitch

We consider a discrete latent variable model for two-way data arrays, which allows one to simultaneously produce clusters along one of the data dimensions (e.g. exchangeable observational units or features) and contiguous groups, or…

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

社会与信息网络 · 计算机科学 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

In this letter we consider a prototype model which is described as an autonomous continuous time delayed differential equation with just one variable. The chaos has been investigated with variable delay time and the synchronization…

混沌动力学 · 物理学 2008-02-07 Dibakar Ghosh , Santo Banerjee , A. Roy Chowdhury

We propose a general, modular method for significance testing of groups (or clusters) of variables in a high-dimensional linear model. In presence of high correlations among the covariables, due to serious problems of identifiability, it is…

统计理论 · 数学 2015-02-12 Jacopo Mandozzi , Peter Bühlmann

Bayesian hierarchical modeling is a popular approach to capturing unobserved heterogeneity across individual units. However, standard estimation methods such as Markov chain Monte Carlo (MCMC) can be impracticable for modeling outcomes from…

统计方法学 · 统计学 2014-11-04 Michael Braun , Paul Damien
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