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We show that the ability to consider counterfactual situations is a necessary assumption of Bell's theorem, and that, to allow Bell inequality violations while maintaining all other assumptions, we just require certain measurement choices…

量子物理 · 物理学 2024-12-25 Jonte R. Hance

It has been experimentally demonstrated that quantum coherence can persist in macroscopic phenomena [J.R. Friedman et al.,Nature, 406 (2000) 43]. To face the challenge of this new fact, in this article QM in its standard form is assumed to…

量子物理 · 物理学 2007-05-23 F. Herbut

This paper presents a new approach to generate samples from conditional belief functions for a restricted but non trivial subset of conditional belief functions. It assumes the factorization (decomposition) of a belief function along a…

人工智能 · 计算机科学 2020-05-26 Mieczysław A. Kłopotek

The general use of subjective probabilities to model belief has been justified using many axiomatic schemes. For example, ?consistent betting behavior' arguments are well-known. To those not already convinced of the unique fitness and…

人工智能 · 计算机科学 2013-03-25 Paul Snow

When performing Bayesian inference, we frequently need to work with conditional probability densities. For example, the posterior function is the conditional density of the parameters given the data. Some might worry that conditional…

统计方法学 · 统计学 2026-03-31 Alex Yan , Cathal Mills , Augustin Marignier , Younjung Kim , Ben Lambert

The belief revision field is opulent in new proposals and indigent in analyses of existing approaches. Much work hinge on postulates, employed as syntactic characterizations: some revision mechanism is equivalent to some properties.…

人工智能 · 计算机科学 2025-07-04 Paolo Liberatore

A variational principle is introduced to provide a new formulation and resolution for several boundary value problems with a variational structure. This principle allows one to deal with problems well beyond the weakly compact structure. As…

偏微分方程分析 · 数学 2017-05-24 Abbas Moameni

We study here preference revision, considering both the monotonic case where the original preferences are preserved and the nonmonotonic case where the new preferences may override the original ones. We use a relational framework in which…

数据库 · 计算机科学 2007-05-23 Jan Chomicki , Joyce Song

The estimation of causal effects using quasiexperiments often relies on the use of unusual or serendipitous sources of exogenous variation. When the goal is estimating the same causal effects across many different settings, the same unusual…

计量经济学 · 经济学 2026-05-26 Nick Huntington-Klein

Possibilistic logic has been proposed as a numerical formalism for reasoning with uncertainty. There has been interest in developing qualitative accounts of possibility, as well as an explanation of the relationship between possibility and…

人工智能 · 计算机科学 2013-03-25 Craig Boutilier

Contextuality is a feature of quantum correlations. It is crucial from a foundational perspective as a nonclassical phenomenon, and from an applied perspective as a resource for quantum advantage. It is commonly defined in terms of hidden…

Conditional independence of treatment assignment from potential outcomes is a commonly used but nonrefutable assumption. We derive identified sets for various treatment effect parameters under nonparametric deviations from this conditional…

统计方法学 · 统计学 2017-10-25 Matthew A. Masten , Alexandre Poirier

The aim of this article is to establish basic results in a conditional measure theory. The results are applied to prove that arbitrary kernels and conditional distributions are represented by measures in a conditional set theory. In…

概率论 · 数学 2018-03-21 Asgar Jamneshan , Michael Kupper , Martin Streckfuß

In this article I deal with the notion of observation in the most fundamental sense and its representation by means of formal languages serving as expressional tools of formal-axiomatical theories. In doing so, I have taken this notion in…

量子物理 · 物理学 2009-02-10 Stathis Livadas

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

应用统计 · 统计学 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

There currently exists a gap between the theories proposed by the probability and uncertainty and the needs of Artificial Intelligence research. These theories primarily address the needs of expert systems, using knowledge structures which…

人工智能 · 计算机科学 2013-04-12 Brian Falkenhainer

Parameters of sub-populations can be more relevant than super-population ones. For example, a healthcare provider may be interested in the effect of a treatment plan for a specific subset of their patients; policymakers may be concerned…

统计方法学 · 统计学 2023-03-22 Ying Jin , Dominik Rothenhäusler

A very simple example demonstrates that Fisher's application of the conditionality principle to regression ("fixed-$x$ regression"), endorsed by Sprott and many other followers, makes prediction impossible in the context of statistical…

统计理论 · 数学 2025-03-11 Vladimir Vovk

I propose a framework for an agent to change its probabilistic beliefs when a new piece of propositional information $\alpha$ is observed. Traditionally, belief change occurs by either a revision process or by an update process, depending…

人工智能 · 计算机科学 2016-04-08 Gavin Rens

When evaluating a counterfactual statement, it is often convenient to specify conditions that ought to be kept unchanged. Formally, this can be done by associating to each counterfactual a ceteris paribus set of formulas, specifying the…

计算机科学中的逻辑 · 计算机科学 2025-03-04 Avgerinos Delkos , Marianna Girlando