Maximum Mean Discrepancy flows
August 21, 2016 — February 29, 2024
Vague question: Can we construct something like a denoising diffusion or other transport maps via the Maximum Mean Discrepancy?
Arbel et al. (2019) looks pertinent and has some connections to Wasserstein gradient flow, which is a thing.
1 References
Arbel, Korba, Salim, et al. 2019. “Maximum Mean Discrepancy Gradient Flow.” In Proceedings of the 33rd International Conference on Neural Information Processing Systems.
Chen, Mustafi, Glaser, et al. 2024. “(De)-Regularized Maximum Mean Discrepancy Gradient Flow.”
“Deep MMD Gradient Flow Without Adversarial Training.” 2024. In.
Hamzi, and Owhadi. 2021. “Learning Dynamical Systems from Data: A Simple Cross-Validation Perspective, Part I: Parametric Kernel Flows.” Physica D: Nonlinear Phenomena.