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We discuss quantum non-locality and contextuality, emphasising logical and structural aspects. We also show how the same mathematical structures arise in various areas of classical computation.

Quantum Physics · Physics 2014-07-01 Samson Abramsky

Acausal behavior of solutions to free Salpeter equation is considered . It is shown that the formal properties of solutions suggest the acausal propagation of quantum phenomena. On the other hand the same properties of solutions describing…

Mathematical Physics · Physics 2017-02-01 Piotr Kosinski

This paper introduces a causation coefficient which is defined in terms of probabilistic causal models. This coefficient is suggested as the natural causal analogue of the Pearson correlation coefficient and permits comparing causation and…

Methodology · Statistics 2017-08-18 Joshua Brulé

Prediction and control of the dynamics of complex networks is a central problem in network science. Structural and dynamical similarities of different real networks suggest that some universal laws might accurately describe the dynamics of…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Dmitri Krioukov , Maksim Kitsak , Robert S. Sinkovits , David Rideout , David Meyer , Marian Boguna

We establish a strong link between two apparently unrelated topics: the study of conflicting information in the formal framework of valuation algebras, and the phenomena of non-locality and contextuality. In particular, we show that these…

Quantum Physics · Physics 2019-11-12 Samson Abramsky , Giovanni Carù

Quantum networks play a key role in many scenarios of quantum information theory. Here we consider the quantum causal networks in the manner of entropy. First we present a revised smooth max-relative entropy of quantum combs, then we…

Quantum Physics · Physics 2021-03-16 Xian Shi , Lin Chen

Bayesian inference has theoretical attractions as a principled framework for reasoning about beliefs. However, the motivations of Bayesian inference which claim it to be the only 'rational' kind of reasoning do not apply in practice. They…

Machine Learning · Statistics 2022-11-14 Sebastian Farquhar

We introduce two quantitative measures of the strength of causal relations in quantum theory and more general physical theories. These two measures, called the maximum and minimum causal effect, quantify the maximum and minimum changes in…

Quantum Physics · Physics 2025-05-01 Giulio Chiribella , Kaumudibikash Goswami

Bayesian networks are directed acyclic graphs representing independence relationships among a set of random variables. A random variable can be regarded as a set of exhaustive and mutually exclusive propositions. We argue that there are…

Artificial Intelligence · Computer Science 2013-03-25 Dekang Lin

Quantum causality extends the conventional notion of fixed causal structure by allowing channels and operations to act in an indefinite causal order. The importance of such an indefinite causal order ranges from the foundational---e.g.…

Quantum Physics · Physics 2020-09-29 K. Goswami , J. Romero

Time-symmetric interpretations of quantum theory are often presented as featuring "retrocausal" effects in addition to the usual forward notion of causation. This paper examines the ontological implications of certain timesymmetric…

Quantum Physics · Physics 2017-06-07 R. E. Kastner

This essay considers a simple model of observers that are influenced by the world around them. Consistent quantification of information about such influences results in a great deal of familiar physics. The end result is a new perspective…

Quantum Physics · Physics 2013-08-16 Kevin H. Knuth

Network economics is the study of a rich class of equilibrium problems that occur in the real world, from traffic management to supply chains and two-sided online marketplaces. In this paper we explore causal inference in network economics,…

Optimization and Control · Mathematics 2021-09-24 Sridhar Mahadevan

One of the basic aims in science is to unravel the chain of cause and effect of particular systems. Especially for large systems this can be a daunting task. Detailed interventional and randomized data sampling approaches can be used to…

Methodology · Statistics 2016-11-30 Seyed Mahdi Mahmoudi , Ernst Wit

In recent years, there has been an increased need for the use of active systems - systems required to act automatically based on events, or changes in the environment. Such systems span many areas, from active databases to applications that…

Artificial Intelligence · Computer Science 2012-07-09 Segev Wasserkrug , Avigdor Gal , Opher Etzion

The problem of using observed correlations to infer causal relations is relevant to a wide variety of scientific disciplines. Yet given correlations between just two classical variables, it is impossible to determine whether they arose from…

Intercausal reasoning is a common inference pattern involving probabilistic dependence of causes of an observed common effect. The sign of this dependence is captured by a qualitative property called product synergy. The current definition…

Artificial Intelligence · Computer Science 2013-03-08 Marek J. Druzdzel , Max Henrion

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

Methodology · Statistics 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

Bayesian networks have been used extensively in diagnostic tasks such as medicine, where they represent the dependency relations between a set of symptoms and a set of diseases. A criticism of this type of knowledge representation is that…

Artificial Intelligence · Computer Science 2013-03-25 Luis Enrique Sucar , Duncan F. Gillies

Causal inference can be formalized as Bayesian inference that combines a prior distribution over causal models and likelihoods that account for both observations and interventions. We show that it is possible to implement this approach…

Artificial Intelligence · Computer Science 2019-11-01 Sam Witty , Alexander Lew , David Jensen , Vikash Mansinghka
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