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Without Niels Bohr, QBism would be nothing. But QBism is not Bohr. This paper attempts to show that, despite a popular misconception, QBism is no minor tweak to Bohr's interpretation of quantum mechanics. It is something quite distinct.…

Quantum Physics · Physics 2018-11-13 Christopher A. Fuchs

While utilization of digital agents to support crucial decision making is increasing, trust in suggestions made by these agents is hard to achieve. However, it is essential to profit from their application, resulting in a need for…

Machine Learning · Computer Science 2022-04-21 Michael Heider , Helena Stegherr , Jonathan Wurth , Roman Sraj , Jörg Hähner

Realist, no-collapse interpretations of quantum mechanics, such as Everett's, face the probability problem: how to justify the norm-squared (Born) rule from the wavefunction alone. While any basis-independent measure can only be…

Information Theory · Computer Science 2016-06-23 Allan F. Randall

Sophisticated machine models are increasingly used for high-stakes decisions in everyday life. There is an urgent need to develop effective explanation techniques for such automated decisions. Rule-Based Explanations have been proposed for…

Machine Learning · Computer Science 2022-11-01 Zixuan Geng , Maximilian Schleich , Dan Suciu

This chapter, dedicated to the memory of Mino Freund, summarizes the Quantum Decision Theory (QDT) that we have developed in a series of publications since 2008. We formulate a general mathematical scheme of how decisions are taken, using…

Biological Physics · Physics 2014-07-23 V. I. Yukalov , D. Sornette

I present a simple baby-steps reconstruction of quantum mechanics as a fully classical theory. The most radical conceptual leap required is that there are many coexisting classical worlds, but even this is justified by the necessity of…

Quantum Physics · Physics 2024-07-25 Ovidiu Cristinel Stoica

Even though classic theories and models of discrete choice pose man as a rational being, it has been shown extensively that people persistently violate rationality in their actual choices. Recent models of decision-making take these…

Decision theorists propose a normative theory of rational choice. Traditionally, they assume that they should provide some constant and invariant principles as criteria for rational decisions, and indirectly, for agents. They seek a…

General Economics · Economics 2021-01-25 Saleh Afroogh

We consider multi-agent systems where agents actions and beliefs are determined aleatorically, or "by the throw of dice". This system consists of possible worlds that assign distributions to independent random variables, and agents who…

Logic in Computer Science · Computer Science 2019-01-01 Tim French , Andrew Gozzard , Mark Reynolds

Detection rules have traditionally been designed for rational agents that minimize the Bayes risk (average decision cost). With the advent of crowd-sensing systems, there is a need to redesign binary hypothesis testing rules for behavioral…

Artificial Intelligence · Computer Science 2016-10-07 V. Sriram Siddhardh Nadendla , Swastik Brahma , Pramod K. Varshney

It is often claimed that there are three "realist" versions of quantum mechanics: the de Broglie-Bohm theory or Bohmian mechanics, the spontaneous collapse theories and the many worlds interpretation. We will explain why the two latter…

Quantum Physics · Physics 2023-07-12 Jean Bricmont

Abductive reasoning, reasoning for inferring explanations for observations, is often mentioned in scientific, design-related and artistic contexts, but its understanding varies across these domains. This paper reviews how abductive…

Artificial Intelligence · Computer Science 2025-07-14 Abhinav Sood , Kazjon Grace , Stephen Wan , Cecile Paris

Typicality has always been in the minds of the founding fathers of probability theory when probabilistic reasoning is applied to the real world. However, the role of typicality is not always appreciated. An example is the paper "Foundations…

Quantum Physics · Physics 2021-04-14 Detlef Dürr , Ward Struyve

Darwin's book, Origin of the Species has been a source of public controversy for more than hundred and fifty years. Court cases and mountains of words have not dispelled this controversy. In this paper, a quantitative approach using simple…

Populations and Evolution · Quantitative Biology 2010-06-04 Vernon Williams

The Born Rule plays a critical role in quantum mechanics (QM) since it supplies the link between the mathematical formalism and experimental results in terms of probabilities. The Born Rule does not occur in ordinary probability theory.…

Quantum Physics · Physics 2024-10-08 David Ellerman

Everett's Relative State Interpretation (aka Many Worlds Interpretation) has gained increasing interest due to the progress understanding the role of decoherence. In order to fulfill its promise as an intellectually economic realistic…

Quantum Physics · Physics 2017-03-09 Per Arve

Born's rule is the recipe for calculating probabilities from quantum mechanical amplitudes. There is no generally accepted derivation of Born's rule from first principles. In this paper, it is motivated from assumptions that link the…

Quantum Physics · Physics 2024-11-05 Per Östborn

Deep learning models are widely used for various industrial and scientific applications. Even though these models have achieved considerable success in recent years, there exists a lack of understanding of the rationale behind decisions…

Machine Learning · Computer Science 2020-07-08 Swapnil Nitin Shah

An approach to quantum mechanics is developed which makes the Heisenberg cut between the deterministic microscopic quantum world and the partly deterministic, partly stochastic macroscopic world explicit. The microscopic system evolves…

Quantum Physics · Physics 2015-01-06 Timothy J. Hollowood

This paper has been withdrawn by the author. In this short paper I introduce a concept of possibility in order to vindicate Everett's Theory of many worlds. The main idea is that there is only one world: the real. After the wave-collapse,…

Quantum Physics · Physics 2012-10-26 Davide Bondoni