The Tan-HWG framework treats Hebbian plasticity as Wasserstein minimizing movements of probability measures, with sequential stability conditions on Hebbian energies enabling projections that recover classical rules and explain synaptic competition.
Probability measures on metric spaces of nonpositive curvature.Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces, pages 357–390
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A Wasserstein Geometric Framework for Hebbian Plasticity
The Tan-HWG framework treats Hebbian plasticity as Wasserstein minimizing movements of probability measures, with sequential stability conditions on Hebbian energies enabling projections that recover classical rules and explain synaptic competition.