Interaction Field Matching: Overcoming Limitations of Electrostatic Models

• URL: http://arxiv.org/abs/2506.02950v1
• Date: Tue, 03 Jun 2025 14:45:14 GMT
• Title: Interaction Field Matching: Overcoming Limitations of Electrostatic Models
• Authors: Stepan I. Manukhov, Alexander Kolesov, Vladimir V. Palyulin, Alexander Korotin,
• Abstract summary: Electrostatic field matching (EFM) has recently appeared as a physics-inspired paradigm for data generation and transfer using the idea of an electric capacitor.<n>We propose Interaction Field Matching (IFM), a generalization of EFM which allows using general interaction fields beyond the electrostatic one.<n>We show the performance on a series of toy and image data transfer problems.
• Score: 88.05319226856207
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Electrostatic field matching (EFM) has recently appeared as a novel physics-inspired paradigm for data generation and transfer using the idea of an electric capacitor. However, it requires modeling electrostatic fields using neural networks, which is non-trivial because of the necessity to take into account the complex field outside the capacitor plates. In this paper, we propose Interaction Field Matching (IFM), a generalization of EFM which allows using general interaction fields beyond the electrostatic one. Furthermore, inspired by strong interactions between quarks and antiquarks in physics, we design a particular interaction field realization which solves the problems which arise when modeling electrostatic fields in EFM. We show the performance on a series of toy and image data transfer problems.

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