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Research

International conferences

• Functoriality of inference on diagrams in the category of Markov kernels
  G. Sergeant-Perthuis, NCGHS 2024 (talk)
  September 24, slides.
• Dualities in Homogeneous Spaces May Underly Pre-Reflective Self-Consciousness
  G. Sergeant-Perthuis, N. Ruet, T. Yan, K. Williford, D. Rudrauf, ASSC 27 (poster)
  July 2024, poster.
• Integrated Information Theory (IIT) with Simple Maths
  D. Rudrauf, T. Yan, N. Ruet, K. Williford, G. Sergeant-Perthuis, ASSC 27 (talk)
  July 2024, slides.
• Exploring how the geometry of the representation space influences curiosity-based exploration
  N. Ruet, T. Yan, D. Ognibene, K. Williford, D. Rudrauf, G. Sergeant-Perthuis, ASSC 27 (poster)
  July 2024, poster.
• Optimization over functors and application to Bayesian inference and statistical mechanics
  Geometry and Machine Learning, June 21, 2024

• Inference on diagrams in the category of Markov kernels
  G. Sergeant-Perthuis, Nils Ruet, ACT 7 (talk)
  June 2024, extended abstract
• Compositional statistical mechanics, entropy and variational free energy
  G. Sergeant-Perthuis, ACT 7 (talk)
  June 2024, extended abstract
• Compositional statistical mechanics, entropy and variational inference
  G. Sergeant-Perthuis, SYCO 12 (talk)
  April 16 2024, link to paper, slides
• Challenges and Prospects for the Projective Consciousness Model
  G. Sergeant-Perthuis, Causal Cognition in Humans and Machines conference (talk)
  January 11, 2024, slides
• Influence of the geometry of the feature space on curiosity based exploration
  G. Sergeant-Perthuis, Nils Ruet, David Rudrauf, Dimitri Ognibene, Yvain Tisserand,
  NeurIPS InfoCog workshop (poster)
  December 15 2023, link to paper, link to the poster made by Nils Ruet
• The Projective Consciousness Model: Formal developments from projective geometry to epistemic drives. Kenneth Williford and David Rudrauf and Grégoire Sergeant-Perthuis, Models of Consciousness 4 conference (talk)
  September 6 2023, link to video
• The Projective Consciousness Model: Phenomenological Prolegomena.
  Kenneth Williford and David Rudrauf and Grégoire Sergeant-Perthuis, Models of Consciousness 4 conference (talk)
  September 6 2023, link to video
• A categorical approach to Statistical Mechanics.
  G. Sergeant-Perthuis, GSI'23 (talk)
  August 20 2023, link to paper
• Optimization over presheaves.
  LSC meeting , IHES (invited, poster)
  June 26 2023, link to poster
• The Projective Consciousness Model: an on-board system for simulating the integrative role of projective geometry in the control of social-affective agents.
  D. Rudrauf and Grégoire Sergeant-Perthuis, Category Theory for Consciousness Science workshop (talk)
  April 16 2023, link to video
• On Non-Linear operators for Geometric Deep Learning.
  G. Sergeant-Perthuis, J. Maier, J. Bruna and E. Oyallon.
  NeurIPS 2022 (talk & poster)
  30 November 2022, link to paper, link to presentation (open with Acrobate Reader for animations)

Journals

• The Projective Consciousness Model: projective geometry at the core of consciousness and the integration of perception, imagination, motivation, emotion, social cognition and action.
  D. Rudrauf, G. Sergeant-Perthuis, Y. Tisserand, G. Poloudenny, K. Williford and M-A. Amorim, 2023.
  Brain Sciences, link to paper
• Combining the Projective Consciousness Model and Virtual Humans to assess ToM capacity in Virtual Reality: a proof-of-concept.
  D. Rudrauf, G. Sergeant-Perthuis, Y. Tisserand, T. Monnor, O. Belli.
  ACM Transactions on Interactive Intelligent Systems, 2022. link to paper
• Modeling the subjective perspective of consciousness and its role in the control of behaviours.
  D. Rudrauf, G. Sergeant-Perthuis, O. Belli, Y. Tisserand, G. Di Marzo Serugendo.
  Journal of Theoretical Biology, 2022. link to paper, link to presentation
• Toward the idea of molecular brain.
  Y. Timsit, G. Sergeant-Perthuis.
  International Journal of Molecular Sciences, 2021. link to paper
• Evolution of ribosomal protein network architecture.
  Y. Timsit, G. Sergeant-Perthuis and D. Bennequin.
  Scientific Reports, 2021. link to paper

Preprints

• A short presentation of Active Inference
  Jules Tsukahara, Grégoire Sergeant-Perthuis, 2024
  link to document
• Integrated Information Theory (IIT) with Simple Maths
  Grégoire Sergeant-Perthuis, Tonglin Yan, Nils Ruet, Kenneth Williford, David Rudrauf, 2024
  link to document
• Characterization of extreme Gibbs measures for a Categorical Approach to Statistical Mechanics
  G. Sergeant-Perthuis, 2024
  link to paper
• Action of the Euclidean versus Projective group on an agent's internal space in curiosity driven exploration: a formal analysis.
  G. Sergeant-Perthuis, D. Rudrauf, D. Ognibene, D. Ognibene, and Y. Tisserand, 2023
  submitted link to paper
• Regionalized optimization.
  G. Sergeant-Perthuis, 2022
  link to paper, link to presentation
• Interaction decomposition for Hilbert spaces.
  G. Sergeant-Perthuis, 2021
  link to paper
• Extra-fine sheaves and interaction decompositions.
  D. Bennequin, J. P. Vigneaux, O. Peltre, G. Sergeant-Perthuis, 2020.
  Submitted, link to paper
  

• Interaction decomposition for presheaves.
  G. Sergeant-Perthuis, 2020
  link to paper

• Intersection property and interaction decomposition.
  G. Sergeant-Perthuis, 2019
  link to paper
• Bayesian/graphoid intersection property for factorisation models.
  G. Sergeant-Perthuis, 2019. link to paper

National conferences/workshops and seminars

• Sheaves in data science
  Compositional Structures in Probabilistic Modeling, April 5, 2024

• Active Inference
  Paris Mathematical Models of Cognition and Consciousness, March 20, 2024

• Mathematical Aspects of Integrated Information Theory (IIT) 2
  Paris Mathematical Models of Cognition and Consciousness, February 6, 2024

• Around Optimization over Presheaves
  Huawei Centre de recherche Lagrange, January 19, 2024
• Agency with structured latent state-spaces: recent developments
  Computational phenomenology weekly discussion group, VERSES Research Lab/Spatial Web Foundation (talk), 24 November 2023
• Agency with structured latent state-spaces: a model for computational phenomenology.
  Sony CSL Paris Seminar (talk), 8 November, 2023
• Mathematical Aspects of Integrated Information Theory (IIT)
  Paris Mathematical Models of Cognition and Consciousness, September 29, 2023

• Agency with structured latent state-spaces: a model for computational phenomenology.
  ActInf GuestStream (talk), Active Inference Institue, 16 September, 2023, Video
• A categorical approach to Statistical Mechanics.
  Combinatorics and optimization (CO) team day, IMJ-PRG (talk), 31 May, 2023
• A categorical approach to Statistical Mechanics.
  Arbeitsgruppenseminar Analysis, Institut für Mathematik Potsdam (talk), 28 April, 2023
• Optimization over presheaves and message passing algorithms (with applications).
  Foundations of Geometric Statistics and Their Application in the Life Sciences (G-Stats) Seminar, Inria d’Université Côte d’Azur (talk), 19 January 2023, slides
• Optimization over presheaves and message passing algorithms (with applications).
  Algorithmes et Biologie Structurale (ABS) Seminar, Inria d’Université Côte d’Azur (talk), 17 January 2023, slides
• Compositionality as a computational framework for encoding data with geometric structure and perspectives for the study of the ribosome as an information processing system.
  Algorithmes et Biologie Structurale (ABS) Seminar, Inria d’Université Côte d’Azur (talk), 17 January 2023
• On Non-Linear operators for Geometric Deep Learning.
  NeurIPS@Paris (poster), Paris, 24 November 2022, Poster
• Structured representations in learning and action.
  MLIA Team meeting , ISIR, Sorbonne Université (talk), Paris, 16 October 2022, slides
• The role of consciousness in social active inference and the emergence of adaptive and maladaptive behaviours.
  Computational phenomenology weekly discussion group, VERSES Research Lab/Spatial Web Foundation (talk), 6 October 2022
• Regionalized optimisation and message passing algorithms.
  Séminaire du Centre de Recherche en Informatique de Lens (CRIL) (talk), Lens, 31 March 2022, slides
• Regionalized optimisation and message passing algorithms.
  Workshop 'Geometrie de Wassertein, Laboratoire de Mathematique de Lens (talk)
  December 17 2021
• Active inference with perspective taking.
  Workshop 'Geometrie de Wassertein', Laboratoire de Mathematique de Lens (talk)
  December 17 2021
• The role of consciousness in social active inference and the emergence of adaptive and maladaptive behaviors.
  XXIX CONGRESSO NAZIONALE , SIPF (talk)
  October 1 2021
• The role of consciousness in social active inference and the emergence of adaptive and maladaptive behaviors.
  Seminario del Istituto di Fisiologia Umana, Istituto di Fisiologia Umana, University of Palermo (talk)
  29 September 2021, slides
• Modelling consciousness using projective geometry.
  Seminar on consciousness, LPNC (talk), at Grenoble, 21 September 2021

Research Funding

• 2025: Y Project: grant from Intel Corporation.
• 2024: PRMO Young FMJH Program PGMO.
• 2021-2022: with Youri Timsit and Daniel Bennequin, Modélisation du vivant - AAP, CNRS
• NeurIPS 2022 Scholar Award