Gregoire Sergeant-Perthuis

Gregoire Sergeant-Perthuis
Sorbonne University | UPMC · Laboratory of Computational and Quantitative Biology

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25
Publications
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104
Citations

Publications

Publications (25)
Article
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According to the Projective Consciousness Model (PCM), in human spatial awareness, 3-dimensional projective geometry structures information integration and action planning through perspective taking within an internal representation space. The way different perspectives are related to and transform a world model defines a specific perception and im...
Article
Accurate protein synthesis requires ribosomes to integrate signals from distant functional sites and execute complex dynamics. Despite advances in understanding ribosome structure and function, two key questions remain: how information is transmitted between these distant sites, and how ribosomal movements are synchronized? We recently highlighted...
Conference Paper
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In this document, we aim to gather various results related to a com-positional/categorical approach to rigorous Statistical Mechanics [1-8]. Rigorous Statistical Mechanics is centered on the mathematical study of statistical systems. Central concepts in this field have a natural expression in terms of diagrams in a category that couples measurable...
Preprint
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This document presents a concise mathematical formulation of Active inference. Active inference is an algorithm that aims to model adaptive behaviors and has a wide range of applications [Da +20], in particular when the number of parameters used to describe a phenomenon is of 'reasonable' size. In the simplest setting, an agent has a generative mod...
Preprint
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In [3,8], we proposed to reformulate Statistical Mechanics and Gibbs mea- sures introducing an appropriate category. Among others, in [4–7], we gave a characterization of independent variables in terms of projective objects in this category and an easy-to-verify condition that characterizes such objects. In [9], we proposed an Entropy functional fo...
Article
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Consciousness has been described as acting as a global workspace that integrates perception, imagination, emotion and action programming for adaptive decision making. The mechanisms of this workspace and their relationships to the phenomenology of consciousness need to be further specified. Much research in this area has focused on the neural corre...
Preprint
Full-text available
Consciousness has been described as acting as a global workspace that integrates perception , imagination, emotion and action programming for adaptive decision making. The mechanisms of such workspace and their relationships to the phenomenology of consciousness need to be further specified. Much research in this connection has focused on the neura...
Chapter
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‘Rigorous’ Statistical Mechanics is centered on the mathematical study of statistical systems. In this article, we show that important concepts in this field have a natural expression in terms of category theory. We show that statistical systems are particular representations of partially ordered sets (posets) and express their phases as invariants...
Preprint
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In human spatial awareness, information appears to be represented according to 3-D projective geometry. It structures information integration and action planning within an internal representation space. The way different first person perspectives of an agent relate to each other, through transformations of a world model, defines a specific percepti...
Preprint
Full-text available
This work studies operators mapping vector and scalar fields defined over a manifold $\mathcal{M}$, and which commute with its group of diffeomorphisms $\text{Diff}(\mathcal{M})$. We prove that in the case of scalar fields $L^p_\omega(\mathcal{M,\mathbb{R}})$, those operators correspond to point-wise non-linearities, recovering and extending known...
Preprint
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Yedidia, Freeman, Weiss have shown in their reference article, Constructing Free Energy Approximations and Generalized Belief Propagation Algorithms, that there is a variational principle underlying the General Belief Propagation, by introducing a region-based free energy approximation of the MaxEnt free energy, that we will call the Generalized Be...
Article
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How can single cells without nervous systems perform complex behaviours such as habituation, associative learning and decision making, which are considered the hallmark of animals with a brain? Are there molecular systems that underlie cognitive properties equivalent to those of the brain? This review follows the development of the idea of molecula...
Article
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Consciousness has been hypothesized to operate as a global workspace, which accesses and integrates multimodal information in a uni_ed manner, supports expectation violation monitoring and reduction, and the motivation, programming and control of action. One important yet open issue concerns how the subjective perspective at the core of consciousne...
Preprint
The decomposition into interaction subspaces is an important result for graphical models and plays a central role for results on the linearized marginal problem; similarly the Chaos decomposition plays an important role in statistical physics at the thermodynamic limit and in probability theory in general. We unify and extend both constructions by...
Preprint
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Relating explicit psychological mechanisms and observable behaviours is a central aim of psychological and behavioural science. We implemented the principles of the Projective Consciousness Model into artificial agents embodied as virtual humans, as a proof-of-concept for a methodological framework aimed at simulating behaviours and assessing under...
Article
Full-text available
To perform an accurate protein synthesis, ribosomes accomplish complex tasks involving the long-range communication between its functional centres such as the peptidyl transfer centre, the tRNA bindings sites and the peptide exit tunnel. How information is transmitted between these sites remains one of the major challenges in current ribosome resea...
Preprint
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The role of consciousness in biological cybernetics remains an essential yet open question. We applied the principles of the Projective Consciousness Model (PCM) to derive a unified model of appraisal and social-affective perspective taking, and their role in the motivation of action. We show how the PCM can account for known relationships between...
Preprint
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We introduce an original notion of extra-fine sheaf on a topological space, for which \v{C}ech cohomology in strictly positive dimension vanishes. We provide a characterization of such sheaves when the topological space is a partially ordered set (poset) equipped with the Alexandrov topology. Then we further specialize our results to some sheaves o...
Preprint
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Consider a collection of vector subspaces of a given vector space and a collection of projectors on these vector spaces, can we decompose the vector space into a product of vector subspaces such that the projectors are isomorphic to projections? We provide an answer to this question by extending the relation between the intersection property and th...
Preprint
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The decomposition of interactions, or interaction decomposition, is a hierarchical decomposition of the factor spaces into direct sums of interaction spaces. We consider general arrangements of vector subspaces and want to know when one can still build a similar decomposition which one can see as a generalised Gram-Schmidt process. We show that the...
Preprint
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We remark that Pearl's Graphoid intersection property, also called intersection property in Bayesian networks, is a particular case of a general intersection property, in the sense of intersection of coverings, for factorisation spaces, also coined as factorisation models, factor graphs or by Lauritzen in his reference book 'Graphical Models' as hi...

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