Thus a gap has arisen between theory and practice.

Inboth cases, weestablish that the number of calls to the stochastic first-order oracle to obtain an appropriately definedϵ-stationary point isoftheorderO(1/ϵ2.5).

In 1weintroduce ourmotivations, ourmain results and discuss the related work.

Thepresence of multiple structural states in the data represents a major bottleneck in existing processing pipelines, often requiring expert user supervision.

Specifically,at each iteration the black-box function is evaluated at one or more input locations that maximizes anacquisition function onthemodel.

The above problem requires the knowledge of the distributionπ which is typically unknown in practice.

The WBP problem is related to the optimal transport (OT) problem, in that both are based on the Wassersteindistance, buttheWBP issignificantly harder.

Inspired by multi-modal models that align different modalities with natural language, the text has recently been adopted to provide a unified feature space for diverse graphs.