\begin{thebibliography}{43}
\providecommand{\natexlab}[1]{#1}
\providecommand{\url}[1]{\texttt{#1}}
\expandafter\ifx\csname urlstyle\endcsname\relax
  \providecommand{\doi}[1]{doi: #1}\else
  \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi

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\newblock \emph{IEEE Transactions on Neural Networks}, 15\penalty0
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\bibitem[Bonet and Geffner(2019)]{bonet2019learning2}
Blai Bonet and Hector Geffner.
\newblock Learning first-order symbolic representations for planning from the
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\newblock \emph{arXiv preprint arXiv:1909.05546}, 2019.

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\newblock Geometric deep learning: Grids, groups, graphs, geodesics, and
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\bibitem[Cao et~al.(2022)Cao, Zheng, Yan, and Xie]{cao2022geometric}
Wenming Cao, Canta Zheng, Zhiyue Yan, and Weixin Xie.
\newblock Geometric deep learning: progress, applications and challenges.
\newblock \emph{Science China Information Sciences}, 65\penalty0 (2):\penalty0
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\newblock \emph{Elements of Information Theory (Wiley Series in
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Céline Craye, David Filliat, and Jean-François Goudou.
\newblock Rl-iac: An exploration policy for online saliency learning on an
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\newblock In \emph{2016 IEEE/RSJ International Conference on Intelligent Robots
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Lancelot {Da Costa}, Thomas Parr, Noor Sajid, Sebastijan Veselic, Victorita
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\newblock Active inference on discrete state-spaces: A synthesis.
\newblock \emph{Journal of Mathematical Psychology}, 99:\penalty0 102447, 2020.
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\newblock \doi{https://doi.org/10.1016/j.jmp.2020.102447}.
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Stanislas Dehaene, Hakwan Lau, and Sid Kouider.
\newblock What is consciousness, and could machines have it?
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\bibitem[Eaton(2007)]{10.2307/20461449}
Morris~L. Eaton.
\newblock Multivariate statistics: A vector space approach.
\newblock \emph{Lecture Notes-Monograph Series}, 53:\penalty0 i--512, 2007.
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Jo{\~a}o Ferreira, Jorge Lobo, Pierre Bessiere, Miguel Castelo-Branco, and
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\newblock A bayesian framework for active artificial perception.
\newblock \emph{IEEE transactions on cybernetics}, 43\penalty0 (2):\penalty0
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\bibitem[Friston et~al.(2006)Friston, Kilner, and Harrison]{FRISTON200670}
Karl Friston, James Kilner, and Lee Harrison.
\newblock A free energy principle for the brain.
\newblock \emph{Journal of Physiology-Paris}, 100\penalty0 (1):\penalty0
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\newblock Theoretical and Computational Neuroscience: Understanding Brain
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Karl Friston, Francesco Rigoli, Dimitri Ognibene, Christoph Mathys, Thomas
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\newblock {Active inference and epistemic value}.
\newblock \emph{Cognitive Neuroscience}, 6\penalty0 (4):\penalty0 187--214,
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\bibitem[Geffner and Bonet(2013)]{geffner2013concise}
Hector Geffner and Blai Bonet.
\newblock A concise introduction to models and methods for automated planning.
\newblock \emph{Synthesis Lectures on Artificial Intelligence and Machine
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\bibitem[Gerken et~al.(2021)Gerken, Aronsson, Carlsson, Linander, Ohlsson,
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Jan~E Gerken, Jimmy Aronsson, Oscar Carlsson, Hampus Linander, Fredrik Ohlsson,
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\newblock Geometric deep learning and equivariant neural networks.
\newblock \emph{arXiv preprint arXiv:2105.13926}, 2021.

\bibitem[Goyal and Bengio(2022)]{goyal2022inductive}
Anirudh Goyal and Yoshua Bengio.
\newblock Inductive biases for deep learning of higher-level cognition.
\newblock \emph{Proceedings of the Royal Society A}, 478\penalty0
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Zhaohan~Daniel Guo, Mohammad~Gheshlaghi Azar, Alaa Saade, Shantanu Thakoor,
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\newblock Geometric entropic exploration.
\newblock \emph{arXiv preprint arXiv:2101.02055}, 2021.

\bibitem[Hester and Stone(2017)]{hester2017intrinsically}
Todd Hester and Peter Stone.
\newblock Intrinsically motivated model learning for developing curious robots.
\newblock \emph{Artificial Intelligence}, 247:\penalty0 170--186, 2017.

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\bibitem[Kleiner and Tull(2021)]{10.3389/fams.2020.602973}
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\newblock The mathematical structure of integrated information theory.
\newblock \emph{Frontiers in Applied Mathematics and Statistics}, 6, 2021.
\newblock ISSN 2297-4687.
\newblock \doi{10.3389/fams.2020.602973}.
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Christof Koch, Marcello Massimini, Melanie Boly, and Giulio Tononi.
\newblock Neural correlates of consciousness: progress and problems.
\newblock \emph{Nature Reviews Neuroscience}, 2016.

\bibitem[Lang(2012)]{lang2012algebra}
Serge Lang.
\newblock \emph{Algebra}, volume 211.
\newblock Springer Science \& Business Media, 2012.

\bibitem[Lee and Moore(2004)]{lee2004geometric}
Pei~Yean Lee and John~B Moore.
\newblock Geometric optimization for 3d pose estimation of quadratic surfaces.
\newblock In \emph{Conference Record of the Thirty-Eighth Asilomar Conference
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\newblock Conscious processing and the global neuronal workspace hypothesis.
\newblock \emph{Neuron}, 105\penalty0 (5):\penalty0 776--798, 2020.
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\bibitem[Meng et~al.(2017)Meng, Sun, Qin, Chen, Zhou, and
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Zehui Meng, Hao Sun, Hailong Qin, Ziyue Chen, Cihang Zhou, and Marcelo~H Ang.
\newblock Intelligent robotic system for autonomous exploration and active slam
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\newblock In \emph{2017 IEEE/SICE International Symposium on System Integration
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\newblock Exploratory state representation learning.
\newblock \emph{Frontiers in Robotics and AI}, 9, 2022.

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\newblock The integrated information theory of consciousness: a case of
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\newblock \emph{Behavioral and Brain Sciences}, 45, 2022.

\bibitem[Ognibene and Baldassare(2014)]{ognibene2014ecological}
Dimitri Ognibene and Gianluca Baldassare.
\newblock Ecological active vision: four bioinspired principles to integrate
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\newblock \emph{IEEE transactions on autonomous mental development}, 7\penalty0
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\bibitem[Ognibene and Demiris(2013)]{ognibene2013towards}
Dimitri Ognibene and Yiannis Demiris.
\newblock Towards active event recognition.
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\bibitem[Ognibene et~al.(2019)Ognibene, Mirante, and
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Dimitri Ognibene, Lorenzo Mirante, and Letizia Marchegiani.
\newblock Proactive intention recognition for joint human-robot search and
  rescue missions through monte-carlo planning in pomdp environments.
\newblock In Miguel~A. Salichs, Shuzhi~Sam Ge, Emilia~Ivanova Barakova,
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\newblock Intrinsic motivation systems for autonomous mental development.
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\bibitem[Qin et~al.(2019)Qin, Meng, Meng, Chen, Sun, Lin, and
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Hailong Qin, Zehui Meng, Wei Meng, Xudong Chen, Hao Sun, Feng Lin, and
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\newblock Autonomous exploration and mapping system using heterogeneous uavs
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\newblock \emph{IEEE Transactions on Vehicular Technology}, 68\penalty0
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\bibitem[Rudrauf et~al.(2022)Rudrauf, Sergeant-Perthuis, Belli, Tisserand, and
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D.~Rudrauf, G.~Sergeant-Perthuis, O.~Belli, Y.~Tisserand, and G.~Di~Marzo
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\newblock Modeling the subjective perspective of consciousness and its role in
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\bibitem[Rudrauf et~al.(2023)Rudrauf, Sergeant-Perhtuis, Tisserand, Monnor,
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D~Rudrauf, G~Sergeant-Perhtuis, Y~Tisserand, T~Monnor, V~De~Gevigney, and
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\newblock {Combining the Projective Consciousness Model and Virtual Humans for
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\newblock \emph{ACM Transactions on Interactive Intelligent Systems}, 2023.

\bibitem[Rudrauf et~al.(2017)Rudrauf, Bennequin, Granic, Landini, Friston, and
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David Rudrauf, Daniel Bennequin, Isabela Granic, Gregory Landini, Karl Friston,
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\newblock A mathematical model of embodied consciousness.
\newblock \emph{Journal of theoretical biology}, 428:\penalty0 106--131, 2017.

\bibitem[Rudrauf et~al.(2020)Rudrauf, Bennequin, and
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David Rudrauf, Daniel Bennequin, and Kenneth Williford.
\newblock The moon illusion explained by the projective consciousness model.
\newblock \emph{Journal of Theoretical Biology}, 507:\penalty0 110455, 2020.

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Ramanan Sekar, Oleh Rybkin, Kostas Daniilidis, Pieter Abbeel, Danijar Hafner,
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\newblock Planning to explore via self-supervised world models.
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Gr\'{e}goire Sergeant-Perthuis, Jakob Maier, Joan Bruna, and Edouard Oyallon.
\newblock On non-linear operators for geometric deep learning.
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\bibitem[Sperati and Baldassarre(2017)]{sperati2017bio}
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\newblock Bio-inspired model learning visual goals and attention skills through
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\newblock \emph{IEEE Transactions on Cognitive and Developmental Systems},
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\bibitem[Timsit and Sergeant-Perthuis(2021)]{ijms222111868}
Youri Timsit and Grégoire Sergeant-Perthuis.
\newblock Towards the idea of molecular brains.
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Youri Timsit, Grégoire Sergeant-Perthuis, and Daniel Bennequin.
\newblock Evolution of ribosomal protein network architectures.
\newblock \emph{Scientific Reports}, 11\penalty0 (1):\penalty0 625, January
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Kenneth Williford, Daniel Bennequin, Karl Friston, and David Rudrauf.
\newblock The projective consciousness model and phenomenal selfhood.
\newblock \emph{Frontiers in Psychology}, 9:\penalty0 2571, 2018.

\bibitem[Williford et~al.(2022)Williford, Bennequin, and
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Kenneth Williford, Daniel Bennequin, and David Rudrauf.
\newblock Pre-reflective self-consciousness \& projective geometry.
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\bibitem[Yang et~al.(2021)Yang, Lee, Keller, and Scherer]{9561830}
Fan Yang, Dung-Han Lee, John Keller, and Sebastian Scherer.
\newblock Graph-based topological exploration planning in large-scale 3d
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\end{thebibliography}
