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Field Matching: an Electrostatic Paradigm to Generate and Transfer Data

Created by
  • Haebom

Author

Alexander Kolesov, Manukhov Stepan, Vladimir V. Palyulin, Alexander Korotin

Outline

This paper proposes electrostatic field matching (EFM), a novel method suitable for generative modeling and distribution transfer tasks. This method is inspired by the physical principles of electric capacitors. Source and target distributions are placed on the capacitor plates and assigned positive and negative charges, respectively. A neural network approximator is then used to learn the electrostatic field of the capacitor. To map the distributions to each other, samples are moved along the learned electrostatic field lines, starting from one plate of the capacitor, until they reach the other plate. We theoretically demonstrate that this method can generate distribution transfers. In practice, we demonstrate the performance of EFM on toy and image data. The code is available at https://github.com/justkolesov/FieldMatching .

Takeaways, Limitations

Takeaways:
A novel approach for generative modeling and distribution transfer tasks.
An original methodology that utilizes the physical principles of electric capacitors
Securing theoretical legitimacy
Performance verification through toy data and image data experiments
Improving accessibility through open code
Limitations:
The scope of the experiment may be limited (only toy data and image data are used).
Further research is needed on scalability and efficiency for high-dimensional data.
Further comparative analysis with other cutting-edge methods is needed.
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