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Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

人工智能 · 计算机科学 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

Belief revision is an operation that aims at modifying old beliefs so that they become consistent with new ones. The issue of belief revision has been studied in various formalisms, in particular, in qualitative algebras (QAs) in which the…

人工智能 · 计算机科学 2014-05-06 Valmi Dufour-Lussier , Alice Hermann , Florence Le Ber , Jean Lieber

A long and intense debate in philosophy is concerned with the question whether there can be haecceistic differences between possible worlds, that is, nonqualitative differences that only arise from different de re representations. According…

物理学史与哲学 · 物理学 2021-12-17 Michael te Vrugt

In this paper, we revisit the notion of partial copula, originally introduced to test conditional independence, highlighting its capability to represent the dependence between two random variables after removing their dependence with a…

统计方法学 · 统计学 2026-05-26 Vinícius Litvinoff Justus , Felipe Fontana Vieira

Information discounting plays an important role in the theory of belief functions and, generally, in information fusion. Nevertheless, neither classical uniform discounting nor contextual cannot model certain use cases, notably temporal…

人工智能 · 计算机科学 2013-12-20 Marek Kurdej , Véronique Cherfaoui

We consider a financial market in discrete time and study pricing and hedging conditional on the information available up to an arbitrary point in time. In this conditional framework, we determine the structure of arbitrage-free prices.…

数理金融 · 定量金融 2023-05-15 Lars Niemann , Thorsten Schmidt

We examine how causal beliefs affect an agent's choices and how feedback on those choices leads to updated causal beliefs. Building on the structural-equations framework for modeling causality, we first examine the general problem of…

理论经济学 · 经济学 2026-03-11 Joseph Y. Halpern , Evan Piermont , Marie-Louise Vierø

An extension of the notion of dinatural transformation is introduced in order to give a criterion for preservation of dinaturality under composition. An example of an application is given by proving that all bicartesian closed canonical…

范畴论 · 数学 2007-05-23 Z. Petric

Conservation principles are essential to describe and quantify dynamical processes in all areas of physics. Classically, a conservation law holds because the description of reality can be considered independent of an observation…

量子物理 · 物理学 2021-03-24 Stanisław Sołtan , Mateusz Frączak , Wolfgang Belzig , Adam Bednorz

A sharper formulation is presented for an interpretation of quantum mechanics advocated by author. As an essential element we put forward conservation laws concerning the ontological nature of a variable, and the uncertainties concerning…

量子物理 · 物理学 2019-04-30 Gerard t Hooft

In this paper we provide a theoretical analysis of counterfactual invariance. We present a variety of existing definitions, study how they relate to each other and what their graphical implications are. We then turn to the current major…

机器学习 · 计算机科学 2023-07-18 Jake Fawkes , Robin J. Evans

We consider the problem of distribution-free predictive inference, with the goal of producing predictive coverage guarantees that hold conditionally rather than marginally. Existing methods such as conformal prediction offer marginal…

The goal of this paper is to integrate the notions of stochastic conditional independence and variation conditional independence under a more general notion of extended conditional independence. We show that under appropriate assumptions…

统计理论 · 数学 2020-04-28 Panayiota Constantinou , A. Philip Dawid

Conformal prediction provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

统计方法学 · 统计学 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

We study the interpretability of conditional probability estimates for binary classification under the agnostic setting or scenario. Under the agnostic setting, conditional probability estimates do not necessarily reflect the true…

机器学习 · 计算机科学 2017-03-01 Yihan Gao , Aditya Parameswaran , Jian Peng

Conditional quantiles provide a natural tool for reporting results from regression analyses based on semiparametric transformation models. We consider their estimation and construction of confidence sets in the presence of censoring.

统计理论 · 数学 2007-06-13 Dorota M. Dabrowska

We give an overview of some developments in dependence and independence logic. This is a tiny selection, intended for a newcomer, from a rapidly growing literature on the topic. Furthermore, we discuss conditional independence atoms and we…

逻辑 · 数学 2013-05-28 Pietro Galliani , Jouko Väänänen

We offer a fresh perspective on the relational interpretation of quantum mechanics as a way of thinking about the world described by quantum theory based on quantifiable notions of information. This allows us to provide a definition of a…

量子物理 · 物理学 2026-02-10 Andrea Di Biagio , Carlo Rovelli

This paper presents a logical approach to nonmonotonic reasoning based on the notion of a nonmonotonic consequence relation. A conditional knowledge base, consisting of a set of conditional assertions of the type "if ... then ...",…

人工智能 · 计算机科学 2007-05-23 Daniel Lehmann , Menachem Magidor

The preparation procedure, an undefined notion in quantum theory, has not had the relevance that it deserves in the interpretation of quantum mechanical formalism. Here we utilize the concepts of identical and similar preparation procedures…

量子物理 · 物理学 2013-04-23 M. Ferrero , V. Gómez-Pin , D. Salgado , J. L. Sánchez-Gómez