5 papers
Interaction Field Matching: Overcoming Limitations of Electrostatic Models
Stepan I. Manukhov, Alexander Kolesov, Vladimir V. Palyulin +1
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…
Electric Currents for Discrete Data Generation
Alexander Kolesov, Stepan Manukhov, Vladimir V. Palyulin +1
We propose lectric urrent iscrete ata eneration (ECDG), a pioneering method for data generation in discrete settin…
Field Matching: an Electrostatic Paradigm to Generate and Transfer Data
Alexander Kolesov, Manukhov Stepan, Vladimir V. Palyulin +1
We propose Electrostatic Field Matching (EFM), a novel method that is suitable for both generative modeling and distribution transfer tasks. Our approach is inspired by the physics…
Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport
Milena Gazdieva, Jaemoo Choi, Alexander Kolesov +3
Aggregating data from multiple sources can be formalized as an Optimal Transport (OT) barycenter problem, which seeks to compute the average of probability distributions with respe…
Energy-Guided Continuous Entropic Barycenter Estimation for General Costs
Alexander Kolesov, Petr Mokrov, Igor Udovichenko +5
Optimal transport (OT) barycenters are a mathematically grounded way of averaging probability distributions while capturing their geometric properties. In short, the barycenter tas…