Quantum Amplitude Amplification Algorithm: An Explanation of Availability Bias

Franco, Riccardo

doi:10.1007/978-3-642-00834-4_9

Cited by 7 publications

(6 citation statements)

References 10 publications

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“…In other words, this article shows, under precise and general assumptions, what has been hypotesized in previous articles [43,44]: emotions cannot be studied and understood without using new conceptual instruments, like those introduced by superinformation. Moreover, this approach shows how emotions and cognitive tasks like memory and judgement are tightly correlated.…”

Section: Discussionmentioning

confidence: 66%

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Constructed emotions and superinformation: a constructor-theoretic approach

Franco¹

2020

Preprint

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In this paper we apply the constructor-theoretic approach to the theory of constructed emotions, showing that core affect valence and knowledge can be considered as two different observables, leading to information or superinformation conditions: this depends on subject's strategy, coherently with the affect infusion model. In the second part of the article we show that additional hypotheses on the structure of information allows to study emotions in terms of the contructortheoretic version of phase task. Quantum algorithms are presented as an example of the connection between emotions and memory tasks.

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Section: Discussionmentioning

confidence: 66%

“…Two previous articles [43,44] attempted to use quantum search algorithms in the context of human memory. The first considered phase matching conditions known for generalized Grover's algorithm, connecting such phase to emotion regulation strategies.…”

Section: Other High Influence Processes -Emotions and Memorymentioning

confidence: 99%

Constructed emotions and superinformation: a constructor-theoretic approach

Franco¹

2020

Preprint

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“…Franco, inspired by the Grover's quantum search algorithm (Grover, 1997), introduced an amplitude amplification (Brassard et al, 2000) based approach for modeling the availability bias (Franco, 2009a(Franco, , 2008b. Let us consider N items and a Boolean function f : {0, 1, .…”

Section: Availability Biasmentioning

confidence: 99%

“…As for the most important part of the theory which is the decision making itself, the following propositions are introduced and proved in Yukalov and Sornette (2008b, 2009a:…”

Section: Prospect Probabilitiesmentioning

confidence: 99%

A survey of quantum-like approaches to decision making and cognition

Ashtiani

Azgomi

2015

Mathematical Social Sciences

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“…[2006], Franco [2009], Choustova [2007], Choustova [2009], and Dubois [2009]. The fact that quantum theory encompasses geometry, probability and logics within a unique framework opens up the opportunity for creating a unique and solid mathematical model that links together core IR models based respectively upon geometry [Salton et al, 1975], probability [Spärck-Jones et al, 1998] and logics [van Rijsbergen, 1997].…”

Section: Introductionmentioning

confidence: 99%

Document ranking with quantum probabilities

Zuccon

2012

SIGIR Forum

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In this thesis we investigate the use of quantum probability theory for ranking documents. Quantum probability theory is used to estimate the probability of relevance of a document given a user's query. We posit that quantum probability theory can lead to a better estimation of the probability of a document being relevant to a user's query than the common IR approach, i. e. the Probability Ranking Principle (PRP), which is based upon Kolmogorovian probability theory. Following our hypothesis, we formulate an analogy between the document retrieval scenario and a physical scenario, that of the double slit experiment. Through the analogy, we propose a novel ranking approach, the quantum probability ranking principle (qPRP). Key to our proposal is the presence of quantum interference. Mathematically, this is the statistical deviation between empirical observations and expected values predicted by the Kolmogorovian rule of additivity of probabilities of disjoint events in configurations such that of the double slit experiment. While PRP explicitly assumes that the relevancy of a document is independent of that of other documents, we suggest that qPRP implicitly models interdependent document relevance through quantum interference and thus is suited to those document ranking tasks where the independence assumption fails. Throughout the thesis, we also suggest how quantum interference can be estimated for effective document ranking.To validate our proposal and to gain more insights about approaches for document ranking, we (1) analyse PRP, qPRP and other ranking approaches, exposing the assumptions underlying their ranking criteria and formulating the conditions for the optimality of the two ranking principles, (2) empirically compare three ranking principles (i. e. PRP, interactive PRP, and qPRP) and two state-of-the-art ranking strategies in two retrieval scenarios, those of ad-hoc retrieval and diversity retrieval, (3) analytically contrast the ranking criteria of the examined approaches, exposing similarities and differences, (4) study the ranking behaviours of approaches alternative to PRP in terms of the kinematics they impose on relevant documents, i. e. by considering the extent and direction of the movements of relevant documents across the ranking recorded when comparing PRP against its alternatives.

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Quantum Amplitude Amplification Algorithm: An Explanation of Availability Bias

Cited by 7 publications

References 10 publications

Constructed emotions and superinformation: a constructor-theoretic approach

Constructed emotions and superinformation: a constructor-theoretic approach

A survey of quantum-like approaches to decision making and cognition

Document ranking with quantum probabilities

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