TY - JOUR

T1 - Connecting the free energy principle with quantum cognition

AU - Gunji, Yukio Pegio

AU - Shinohara, Shuji

AU - Basios, Vasileios

N1 - Funding Information:
VB wishes to thank Dr. Pier-Francisco Moretti of CNR for his encouragement and exchange of ideas on information, meaning, and action.
Funding Information:
This work was supported by JSPS Topic-Setting Program to Advance Cutting-Edge Humanities and Social Sciences, JPJS00120351748. VB acknowledges partial support from the Italian CNR Foresight Institute's STEM materials program and from the Service de Physique des Systèmes Complexes et Mécanique Statistique of ULB.
Publisher Copyright:
Copyright © 2022 Gunji, Shinohara and Basios.

PY - 2022/9/2

Y1 - 2022/9/2

N2 - It appears that the free energy minimization principle conflicts with quantum cognition since the former adheres to a restricted view based on experience while the latter allows deviations from such a restricted view. While free energy minimization, which incorporates Bayesian inference, leads to a Boolean lattice of propositions (classical logic), quantum cognition, which seems to be very dissimilar to Bayesian inference, leads to an orthomodular lattice of propositions (quantum logic). Thus, we address this challenging issue to bridge and connect the free energy minimization principle with the theory of quantum cognition. In this work, we introduce “excess Bayesian inference” and show that this excess Bayesian inference entails an underlying orthomodular lattice, while classic Bayesian inference entails a Boolean lattice. Excess Bayesian inference is implemented by extending the key idea of Bayesian inference beyond classic Bayesian inference and its variations. It is constructed by enhancing the idea of active inference and/or embodied intelligence. The appropriate lattice structure of its logic is obtained from a binary relation transformed from a distribution of the joint probabilities of data and hypotheses by employing a rough-set lattice technique in accordance with quantum cognition logic.

AB - It appears that the free energy minimization principle conflicts with quantum cognition since the former adheres to a restricted view based on experience while the latter allows deviations from such a restricted view. While free energy minimization, which incorporates Bayesian inference, leads to a Boolean lattice of propositions (classical logic), quantum cognition, which seems to be very dissimilar to Bayesian inference, leads to an orthomodular lattice of propositions (quantum logic). Thus, we address this challenging issue to bridge and connect the free energy minimization principle with the theory of quantum cognition. In this work, we introduce “excess Bayesian inference” and show that this excess Bayesian inference entails an underlying orthomodular lattice, while classic Bayesian inference entails a Boolean lattice. Excess Bayesian inference is implemented by extending the key idea of Bayesian inference beyond classic Bayesian inference and its variations. It is constructed by enhancing the idea of active inference and/or embodied intelligence. The appropriate lattice structure of its logic is obtained from a binary relation transformed from a distribution of the joint probabilities of data and hypotheses by employing a rough-set lattice technique in accordance with quantum cognition logic.

KW - Bayesian inference

KW - free energy minimization

KW - lattice theory

KW - quantum cognition

KW - rough set

UR - http://www.scopus.com/inward/record.url?scp=85138218274&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85138218274&partnerID=8YFLogxK

U2 - 10.3389/fnbot.2022.910161

DO - 10.3389/fnbot.2022.910161

M3 - Article

AN - SCOPUS:85138218274

VL - 16

JO - Frontiers in Neurorobotics

JF - Frontiers in Neurorobotics

SN - 1662-5218

M1 - 910161

ER -