Introduces WSFN, a Newton-type method on Wasserstein space that escapes saddle points in polynomial time and achieves linear convergence to global minimizers under benign landscape assumptions.
Using the property of adjoint,(AB)∗ =B ∗A∗, we get (H2 µ)∗ = (Hµ Hµ)∗ = H∗ µ H∗ µ = Hµ Hµ = H2 µ, hence H2 µ is self-adjoint
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From Saddle Points Toward Global Minima: A Newton-Type Method on Wasserstein Space
Introduces WSFN, a Newton-type method on Wasserstein space that escapes saddle points in polynomial time and achieves linear convergence to global minimizers under benign landscape assumptions.