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stat.ML2024
Kernel Approximation of Fisher-Rao Gradient Flows
Jia-Jie Zhu, Alexander Mielke
The purpose of this paper is to answer a few open questions in the interface of kernel methods and PDE gradient flows. Motivated by recent advances in machine learning, particularl…
cs.LG2024
Interaction-Force Transport Gradient Flows
Egor Gladin, Pavel Dvurechensky, Alexander Mielke +1
This paper presents a new gradient flow dissipation geometry over non-negative and probability measures. This is motivated by a principled construction that combines the unbalanced…