Integrated Information in Process Theories: Towards Categorical IIT
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We demonstrate how integrated information and other key notions from Tononi et al.’s Integrated Information Theory (IIT) can be studied within the simple graphical language of process theories (symmetric monoidal categories). This allows IIT to be generalised to a broad range of physical theories, including as a special case the Quantum IIT of Zanardi, Tomka and Venuti, and sets the foundation for a categorical definition of IIT.
Abstract
We demonstrate how integrated information and other key notions from Tononi et al.’s Integrated Information Theory (IIT) can be studied within the simple graphical language of process theories (symmetric monoidal categories). This allows IIT to be generalised to a broad range of physical theories, including as a special case the Quantum IIT of Zanardi, Tomka and Venuti, and sets the foundation for a categorical definition of IIT.
참고문헌 (35)
- Abramsky, Samson, "A categorical semantics of quantum protocols", Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, pp.415~425 (2004), IEEE
- Albantakis, Larissa, "Evolution of integrated causal structures in animats exposed to environments of increasing complexity", PLoS Comput Biol, 10(12), pp.e1003966~ (2014)
- Albantakis, Larissa, "What caused what? An irreducible account of actual causation", arXiv:1708.06716, ~ (2017)
- Alkire, Michael T, "Consciousness and anesthesia", Science, 322(5903), pp.876~880 (2008)
- Barrett, Jonathan, "Information processing in generalized probabilistic theories", Physical Review A, 75(3), pp.032304~ (2007)
- Beals, Richard, "Foundations of multidimensional scaling", Psychological review, 75(2), pp.127~ (1968)
- Chiribella, Giulio, "Probabilistic theories with purification", Physical Review A, 81(6), pp.062348~ (2010)
- Clark, Austen, "A theory of sentience" (2000), Clarendon press
- Coecke, Bob, "Terminality implies non-signalling", arXiv preprint arXiv:1405.3681, ~ (2014)
- Coecke, Bob, "Picturing quantum processes" (2017), Cambridge University Press
- Coecke, Bob, "New structures for physics", pp.173~286 (2010), Springer
- Coecke, Bob, "A new description of orthogonal bases", Mathematical Structures in Computer Science, 23(3), pp.555~567 (2013)
- Ehresmann, Andrée C., "Integral Biomathics", pp.29~30 (2012), Springer
- Fekete, Tomer, "Towards a computational theory of experience", Consciousness and cognition, 20(3), pp.807~827 (2011)
- Fink, Sascha Benjamin, "Philosophical and Ethical Aspects of a Science of Consciousness and the Self", Frontiers in Psychology (2018)
- Grindrod, Peter, "On human consciousness : A mathematical perspective", Network neuroscience, 2(1), pp.23~40 (2018)
- Kissinger, Aleks, "A categorical semantics for causal structure", 2017 32nd Annual ACM, 2017, 1~12[DOI]
- Kleiner, Johannes, "The Mathematical Structure of Integrated Information Theory", Frontiers in Applied Mathematics and Statistics (2021)
- Marshall, William, "Integrated information and state dierentiation", Frontiers in psychology, 7, pp.926~ (2016)
- Marshall, William, "How causal analysis can reveal autonomy in models of biological systems", Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375(2109), pp.20160358~ (2017)
- McDermott, Drew, "The Cambridge handbook of consciousness", pp.117~150 (2007)
- Mediano, Pedro AM, "Measuring integrated information: Comparison of candidate measures in theory and simulation", Entropy, 21(1), pp.17~ (2019)
- Michel, Matthias, "Opportunities and challenges for a maturing science of consciousness", Nature human behaviour, 3(2), pp.104~107 (2019)
- Northo, Georg, "Mathematics and the brain: A category theoretical approach to go beyond the neural correlates of consciousness", Entropy, 21(12), pp.1234~ (2019)
- Oizumi, Masafumi, "From the phenomenology to the mechanisms of consciousness: integrated information theory 3.0", PLoS computational biology, 10(5), pp.e1003588~ (2014)
- Selby, John, "Leaks : quantum, classical, intermediate and more", Entropy, 19(4), pp.174~ (2017)
- Selinger, Peter, "Dagger compact closed categories and completely positive maps", Electronic Notes in Theoretical computer science, 170, pp.139~163 (2007)
- Selinger, Peter, "New structures for physics", pp.289~355 (2011), Springer
- Tononi, Giulio, "An information integration theory of consciousness", BMC neuroscience, 5(1), pp.42~ (2004)
- Tononi, Giulio, "Consciousness as integrated information : a provisional manifesto", The Biological Bulletin, 215(3), pp.216~242 (2008)
- Tononi, Giulio, "Integrated information theory", Scholarpedia, 10(1), pp.4164~ (2015)
- Tsuchiya, Naotsugu, "Using category theory to assess the relationship between consciousness and integrated information theory", Neuroscience research, 107, pp.1~7 (2016)
- Wiese, Wanja, "The neural correlates of consciousness under the free energy principle: From computational correlates to computational explanation", ~ (2020)
- Zanardi, Paolo, "Quantum integrated information theory", arXiv preprint arXiv:1806.01421, ~ (2018)
