Chaotic Systems and Neural Networks

Claudiu Craciun, Anirbit Mukherjee

Research output: Contribution to conferencePosterpeer-review

Abstract

In this note we demonstrate that relatively simple neural net losses can be trained to do forecasting on standard discrete-time chaotic dynamical systems such that topological invariants estimated from the neural predictions are close to the ground--truth.
Original languageEnglish
Publication statusPublished - 2024
EventAdvances in Data Science and Artificial Intelligence Conference - , United Kingdom
Duration: 3 Jun 20244 Jun 2024
https://www.idsai.manchester.ac.uk/connect/events/conference/idsai-conference-2024/

Conference

ConferenceAdvances in Data Science and Artificial Intelligence Conference
Country/TerritoryUnited Kingdom
Period3/06/244/06/24
Internet address

Keywords

  • differential equations
  • deep-learning
  • chaos theory
  • dynamical systems

Research Beacons, Institutes and Platforms

  • Energy
  • Christabel Pankhurst Institute
  • Institute for Data Science and AI

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  • MCAIF: Centre for AI Fundamentals

    Kaski, S. (PI), Alvarez, M. (Researcher), Pan, W. (Researcher), Mu, T. (Researcher), Rivasplata, O. (PI), Sun, M. (PI), Mukherjee, A. (PI), Caprio, M. (PI), Sonee, A. (Researcher), Leroy, A. (Researcher), Wang, J. (Researcher), Lee, J. (Researcher), Parakkal Unni, M. (Researcher), Sloman, S. (Researcher), Menary, S. (Researcher), Quilter, T. (Researcher), Hosseinzadeh, A. (PGR student), Mousa, A. (PGR student), Glover, E. (PGR student), Das, A. (PGR student), DURSUN, F. (PGR student), Zhu, H. (PGR student), Abdi, H. (PGR student), Dandago, K. (PGR student), Piriyajitakonkij, M. (PGR student), Rachman, R. (PGR student), Shi, X. (PGR student), Keany, T. (PGR student), Liu, X. (PGR student), Jiang, Y. (PGR student), Wan, Z. (PGR student), Harrison, M. (Support team), Machado, M. (Support team), Hartford, J. (PI), Kangin, D. (Researcher), Harikumar, H. (PI), Dubey, M. (PI), Parakkal Unni, M. (PI), Dash, S. P. (PGR student), Mi, X. (PGR student) & Barlas, Y. (PGR student)

    1/10/2130/09/26

    Project: Research

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