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A collaboration network is a graph formed by communication channels between parties. Parties communicate over these channels to establish secrets, simultaneously enforcing interdependencies between the secrets. The paper studies properties…

计算机科学中的逻辑 · 计算机科学 2010-11-02 Sara Miner More , Pavel Naumov

It is shown that the ability of the interval probability representation to capture epistemological independence is severely limited. Two events are epistemologically independent if knowledge of the first event does not alter belief (i.e.,…

人工智能 · 计算机科学 2013-02-18 Lonnie Chrisman

We establish the undecidability of conditional affine information inequalities, the undecidability of the conditional independence implication problem with a constraint that one random variable is binary, and the undecidability of the…

信息论 · 计算机科学 2022-02-11 Cheuk Ting Li

Information theory provides ideas for conceptualising information and measuring relationships between objects. It has found wide application in the sciences, but economics and finance have made surprisingly little use of it. We show that…

统计金融 · 定量金融 2013-05-02 Galen Sher , Pedro Vitoria

We investigate the notion of independence, which is at the basis of many, seemingly unrelated, properties of logic like Rational Monotony in non-monotonic logics, and interpolation theorems.

逻辑 · 数学 2010-01-19 Dov Null Gabbay , Karl Schlechta

Given well-shuffled data, can we determine whether the data items are statistically (in)dependent? Formally, we consider the problem of testing whether a set of exchangeable random variables are independent. We will show that this is…

统计理论 · 数学 2022-10-25 Marcus Hutter

Information is the basic concept of information theory. However, there is no definition of this concept that can encompass all uses of the term information in information theories and beyond. Many question a possibility of such a…

信息论 · 计算机科学 2008-08-07 Mark Burgin

Several types of dependencies have been proposed for the static analysis of existential rule ontologies, promising insights about computational properties and possible practical uses of a given set of rules, e.g., in ontology-based query…

人工智能 · 计算机科学 2022-07-21 Larry González , Alex Ivliev , Markus Krötzsch , Stephan Mennicke

We consider biological individuality in terms of information theoretic and graphical principles. Our purpose is to extract through an algorithmic decomposition system-environment boundaries supporting individuality. We infer or detect…

种群与进化 · 定量生物学 2014-12-09 David Krakauer , Nils Bertschinger , Eckehard Olbrich , Nihat Ay , Jessica C. Flack

In this paper, we present an epistemic logic approach to the compositionality of several privacy-related informationhiding/ disclosure properties. The properties considered here are anonymity, privacy, onymity, and identity. Our initial…

密码学与安全 · 计算机科学 2013-10-29 Yasuyuki Tsukada , Hideki Sakurada , Ken Mano , Yoshifumi Manabe

We introduce a novel semantics for a multi-agent epistemic operator of knowing how, based on an indistinguishability relation between plans. Our proposal is, arguably, closer to the standard presentation of knowing that modalities in…

计算机科学中的逻辑 · 计算机科学 2023-04-04 Carlos Areces , Raul Fervari , Andrés R. Saravia , Fernando R. Velázquez-Quesada

We introduce some new logics of imperfect information by adding atomic formulas corresponding to inclusion and exclusion dependencies to the language of first order logic. The properties of these logics and their relationships with other…

逻辑 · 数学 2011-06-14 Pietro Galliani

Conditional independence plays a foundational role in database theory, probability theory, information theory, and graphical models. In databases, conditional independence appears in database normalization and is known as the (embedded)…

数据库 · 计算机科学 2023-12-19 Miika Hannula

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

Basic pairs and their morphisms are the most elementary framework in which standard topological notions can be defined. We present here a new interpretation of topological concepts as those which can be communicated faithfully between the…

逻辑 · 数学 2016-11-10 Samuele Maschio , Giovanni Sambin

Information accounting provides a better foundation for hypothesis testing than does uncertainty quantification. A quantitative account of science is derived under this perspective that alleviates the need for epistemic bridge principles,…

其他统计学 · 统计学 2017-04-26 Grey Nearing , Hoshin Gupta

We develope the framework of transitional conditional independence. For this we introduce transition probability spaces and transitional random variables. These constructions will generalize, strengthen and unify previous notions of…

统计理论 · 数学 2021-08-30 Patrick Forré

The paper investigates an evidence-based semantics for epistemic logics. It is shown that the properties of knowledge obtained from a potentially infinite body of evidence are described by modal logic S5. At the same time, the properties of…

计算机科学中的逻辑 · 计算机科学 2021-06-23 Pavel Naumov , Jia Tao

Decomposable dependency models possess a number of interesting and useful properties. This paper presents new characterizations of decomposable models in terms of independence relationships, which are obtained by adding a single axiom to…

人工智能 · 计算机科学 2014-11-17 L. M. deCampos

Security policies are naturally dynamic. Reflecting this, there has been a growing interest in studying information-flow properties which change during program execution, including concepts such as declassification, revocation, and…

密码学与安全 · 计算机科学 2015-01-13 Bart van Delft , Sebastian Hunt , David Sands