Inexact JKO and proximal-gradient schemes in Wasserstein space converge weakly to minimizers with O(1/σ_n) energy rates, provided the error sequences are summable and the stepsize sums diverge.
Iglesias, Yury Korolev, Emanuele Naldi, and Stefano Vigogna
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Inexact JKO and proximal-gradient algorithms in the Wasserstein space
Inexact JKO and proximal-gradient schemes in Wasserstein space converge weakly to minimizers with O(1/σ_n) energy rates, provided the error sequences are summable and the stepsize sums diverge.