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Quanlong Wang - Modelling consciousness divisions in ZW-calculus

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Quanlong Wang
Department of Computer Science, University of Oxford

Natural science has a basic assumption that there exists a kind of objectivity in the world independent of any consciousness. But how could one verify such objectivity given the fact that human beings can only perceive any existence through their own consciousness? On the other hand, there is a possibility for the existence of pure consciousness which could support the appearance of all phenomena, as claimed by the Yogācāra school of Indian philosophy. Based on this philosophy, any consciousness consists of two divisions: the perceived division (nimittabhaga in Sanskrit) and the perceiving division (darsanabhaga in Sanskrit). The perceiving division can recognise the information presented by the perceived division, they interact with each other as a whole unity. It is based on these two divisions that objectivity and subjectivity are established.

In this talk, we give a mathematical model for characterising the interacting processes between the perceived division and the perceiving division within the framework of ZW-calculus, which is a graphical language representing quantum processes in compact closed categories. We expect that using this model some key interacting processes between the perceived division and the perceiving division can be characterised, which then paves the way for further research on modelling consciousness.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Quanlong Wang
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:14:21

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Pierre Baudot - Information cohomology and probabilistic topos for consciousness modeling: from elementary perception to machine learning

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Pierre Baudot
Median Technologies, Marseille, France.

Elementary quantitative and qualitative aspects of consciousness are investigated conjointly from the biology, neuroscience, physic and mathematic point of view, by the mean of a theory written with Bennequin that derives and extends information theory within algebraic topology. Information structures, that accounts for statistical dependencies within n-body interacting systems are interpreted a la Leibniz within a monadic-panpsychic framework where consciousness is information and physical, and arise from collective interactions. The electrodynamic intrinsic nature of consciousness, sustained by an analogical code, is illustrated by standard neuroscience and psychophysic results. It accounts for the diversity of the learning mechanisms, including adaptive and homeostatic processes on multiple scales, and details their expression within information theory. The axiomatization and logic of cognition are rooted in measure theory expressed within a topos intrinsic probabilistic constructive logic, allowing to express the information of mathematical formula as a Gödel code. Information topology provides a synthesis of the main models of consciousness (integrated information, global neuronal workspace, free energy principle) within a formal Gestalt theory, an expression of information structures and patterns in correspondence with Galois cohomology and symmetries. We give several examples of the application of information topology to standard recognition challenges in AI- machine learning.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Pierre Baudot
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:21:46

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Paul Baird - A model for perceptual states

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Paul Baird
Université de Bretagne Atlantique

I will present a mathematical model which encapsulates 3D perception from planar 2D data: to a combinatorial graph, we associate its "geometric spectrum"; eigenstates then correspond to local realizations of the graph in Euclidean 3-space as "invariant" frameworks. In this way geometry emerges from the structure, rather than being imposed upon it.

One may attempt to construct a model universe based on such structures, in which state realization enacts change; change being synonymous with time, which at an elementary level, we hypothesize, is the realization of temporal states. A coherent time should then emerge from a "survival of the fittest" principle. Conscious entities might then be considered as systems which possess "higher order universality", that is, which process potential information (rather than hard information) such as a "potential" 3D cube, to enact their own change.

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Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Paul Baird
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:21:34

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Mauro D’Ariano - Awareness: an operational theoretical approach

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Mauro D’Ariano
Dipartimento di Fisica, Università degli Studi di Pavia

I will explore the possibility of drawing definite theoretical assertions about “awareness”, including possible experimental falsification. Awareness will be regarded as a manifestation of a special kind of “information”, and, as such, formalised as an operational probabilistic theory (OPT) [1]. Awareness would correspond to “the feeling of the process” experienced by the OPT-systems involved in the process.

As a kind of information “awareness” is special in being “private”. Assuming
that such privacy is an in-principle one implies a number of interesting consequences. For example, according to a theorem about information privacy in OPTs [2], investigation will be restricted to OPTs that are essentially non classical, among which the most relevant instance is the quantum theory.
After presenting the OPT framework, assessing its methodological robustness in separating objective from theoretical elements, and examining postulates guaranteeing experimental control and falsifiability, I will compare postulates of relevant OPTs, and provide mathematical definitions of notions as holism, causality, complementarity, purification, and information privacy.
Finally, I will explore the hypothesis of “awareness as quantum coherence”, providing a list of motivations and consequences, and discussing the possibility of experimental tests in cognitive sciences, including the evaluation of the number of qubits involved in the awareness, the existence of complementary observables, and violations of local-realism bounds.

[1] G. M. D’Ariano, G. Chiribella, and P. Perinotti, “Quantum Theory from First Principles: An Informational Approach” (Cambridge University Press 2017)
[2] G. M. D’Ariano, P. Perinotti, A. Tosini, “Information and disturbance in operational probabilistic theories”, unpublished

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Mauro D’Ariano
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:44:59

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Anita Mehta - Chasing memories

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Anita Mehta
Leverhulme Visiting Professor, University of Oxford

Short- and long-term memories are distinguished by their forgettability. Most of what we perceive and store is lost rather quickly to noise, as new sensations replace older ones, while some memories last for as long as we live. Synaptic dynamics is key to the process of memory storage; in this talk I will discuss a few approaches we have taken to this problem, culminating in a model of synaptic networks containing both cooperative and competitive dynamics. It turns out that the competition between synapses is key to the natural emergence of long-term memory in this model, as in reality.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Anita Mehta
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:22:07

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Ramón Guevara Erra - Statistical mechanics of consciousness: maximization of information content of neuronal networks is associated with conscious awareness

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Ramón Guevara Erra
Integrative Neuroscience and Cognition Center (UMR 8002), CNRS and
Université Paris Descartes, Paris, France

It has been argued that consciousness could be an emergent property of large neuronal networks, associated to the integration of information in the brain. However, it is not yet clear how is consciousness related to the complexity of functional brain networks. Based on a statistical mechanics approach, we sought to identify features of brain organization that are optimal for sensory processing, and that may guide the emergence of consciousness, by analyzing neurophysiological recordings in conscious and unconscious states. We find a surprisingly simple result: Normal wakeful states are characterized by the greatest number of possible configurations of interactions between brain networks, representing highest entropy values. Therefore, the information content is larger in the network associated to conscious states, suggesting that consciousness could be the result of an optimization of information processing. These findings help to guide in a more formal sense inquiry into how consciousness arises from the organization of matter.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Ramón Guevara Erra
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:20:50

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Michael Silberstein - Quantum mechanics and the consistency of conscious experience

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Michael Silberstein
Department of Philosophy, Elizabethtown College;
Department of Philosophy, University of Maryland

We discuss the implications for the determinateness and intersubjective consistency of conscious experience in two gedanken experiments from quantum mechanics (QM). In particular, we discuss Wigner's friend and the delayed choice quantum eraser experiment with a twist. These are both cases (experiments) where quantum phenomena, or at least allegedly possible quantum phenomena/experiments, and the content/ecacy of conscious experience seem to bear on one another. We discuss why these two cases raise concerns for the determinateness and intersubjective consistency of conscious experience. We outline a 4D-global constraint-based approach to explanation in general and for QM in particular that resolves any such concerns without having to invoke metaphysical quietism (as with pragmatic accounts of QM), objective collapse mechanisms or subjective collapse. In short, we provide an account of QM free from any concerns associated with either the standard formalism or relative-state formalism, an account that yields a single 4D block universe with determinate and intersubjectively consistent conscious experience for all conscious agents.

Essentially the mystery in both experiments is caused by a dynamical/causal view of QM, e.g., time-evolved states in Hilbert space, and as we show this mystery can be avoided by a spatiotemporal, constraint-based view of QM, e.g., path integral calculation of probability amplitudes using future boundary conditions. What will become clear is that rather than furiously seeking some way to make dubious deep connections between quantum physics and conscious experience, the kinds of 4D adynamical global constraints that are fundamental to both classical and quantum physics and the relationship between them, also constrain conscious experience. That is, physics properly understood, already is psychology.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Michael Silberstein
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:27:47

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Yakov Kremnitzer - Quantum collapse models and awareness

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Yakov Kremnitzer
Mathematical Institute, University of Oxford

In this talk I will explore how quantum collapse models can be a key to understanding awareness. I will explain the mathematical structure of quantum collapse models and give an example where collapse is caused by a quantum version of integrated information (this is joint with Andre Ranchin).

I will then look at the possibility of understanding awareness from collapse models and how this could be used to model consciousness as an emergent phenomenon (joint work in progress with Johannes Kleiner).

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Yakov Kremnitzer
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:56:14

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Adrian Kent - Searching for Physical Models of the Evolution of Consciousness

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Adrian Kent
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

The scientific consensus is that, although many important details remain to be elaborated, Darwinian evolution can be understood in principle as a consequence of known physical laws. As William James first pointed out, the development of human consciousness, and in particular the fact that it appears to have evolutionarily advantageous features, are hard to explain within a purely materialist Darwinian theory, according to which we would function equally well in the world if we were unconscious zombies or if pleasure and pain qualia were inverted. However, it is difficult to find attractive alternatives that have any more explanatory power. In this talk I describe toy models that are intended to illuminate the space of possibilities and the difficulties.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Adrian Kent
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:50:37

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Ian Durham - Toward a formal model of free will

Series
Models of Consciousness
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One in a series of talks from the 2019 Models of Consciousness conference.
Ian Durham
Saint Anselm College

Most discussions around the nature of free will center on whether or not it exists or can exist. Lost in this argument is the fact that we at least perceive that free will exists, whether or not it actually does. This is an important distinction. If we take an operational view of perceived free will, we can construct meaningful measures for analyzing ensembles of possible choices. I present such a formal model here that is based on statistical emergence and that gives concrete, formal measures of free choices and free will.

Filmed at the Models of Consciousness conference, University of Oxford, September 2019.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Models of Consciousness
People
Ian Durham
Keywords
oxford
computer science
consciousness
neuroscience
mathematics
Department: Department of Computer Science
Date Added: 13/10/2019
Duration: 00:30:07

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