A novel multi-marginal (MM) inverse OT (IOT) contrastive learning (CL) approach called Neg-MMIOT-CL is developed, which learns representations such that the global multi-marginal OT (MMOT) coupling between a triple of data marginals, with respect to a carefully designed ground-cost between triplets of data points in th...
Ngoc-Hai Nguyen, Thuan Nguyen, Prakash Ishwar et al.· 0 citations
We introduce a new multivariate statistical problem that we refer to as the Ensemble-conditioned Inverse Problem (EIP). The aim of EIP is to invert for an ensemble that is distributed according to the pushforward of a prior under a forward process. In high energy physics (HEP), this is related to a widely known problem...
Zheng-Yan Huan, C. Pazos, Martin Klassen et al.· 0 citations
Evidence-aligned local composition is introduced, which infers a soft, position-wise weighting over the experts from the marginal evidence of the corrupted observation under a given corruption model, estimating the evidence from the experts'own denoising losses and smoothing the weights across positions.
Mohammad Panahazari, Usman A. Khan, Shuchin Aeron· 0 citations
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