SciML / SciML/NeuralOperators.jl

Implement DeepM&Mnet (Multi-physics Multi-scale Operator Network)

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Dominant language
Julia
Stars
41
Forks
15
Avg merge
13h 14m
Merged PRs (30d)
12

Description

Summary

Implement DeepM&Mnet for learning multi-physics, multi-scale operator mappings by decomposing complex systems into coupled sub-networks.

Reference

  • Cai et al., "DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks," Journal of Computational Physics, 2021. DOI: 10.1016/j.jcp.2021.110296

Description

DeepM&Mnet decomposes multi-physics systems into a collection of DeepONet sub-networks, where each sub-network learns the operator for one physical field. The sub-networks are coupled through shared inputs/outputs, enabling the overall network to learn complex multi-physics interactions.

This could be implemented as a composition layer that connects multiple DeepONet instances, with configurable coupling between their inputs and outputs.

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reading the existing DeepONet implementation and the cited DeepM&Mnet paper to understand how the sub-networks and multiphysics couplings are represented. The work is complete when a composition layer can connect multiple DeepONet instances with configurable shared inputs and outputs for coupled physical fields.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
machine-learning
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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