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New MV-DeepONet method enhances uncertainty quantification in physical systems

Researchers have developed a novel method called two-step MV-DeepONet to improve uncertainty quantification in complex physical systems. This approach enhances probabilistic surrogate models by accurately representing cross-location conditional dependence in field-valued outputs, a limitation of previous Probabilistic DeepONet models. The method involves a two-step training process and shifts Gaussian probabilistic modeling to a lower-dimensional coefficient space, enabling more structured uncertainty bands and accurate recovery of off-diagonal correlation patterns in numerical experiments. AI

IMPACT Enhances the accuracy and structure of uncertainty quantification in complex physical systems modeled by AI.

RANK_REASON Academic paper detailing a new methodology in operator learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New MV-DeepONet method enhances uncertainty quantification in physical systems

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Yupei Nie, Lei Wang, Jiasen Liu ·

    Two-Step MV-DeepONet: Probabilistic Operator Learning for Uncertainty Propagation Driven by Random Input Fields

    arXiv:2608.09071v1 Announce Type: cross Abstract: Forward uncertainty propagation in complex physical systems can induce structured covariance across field-valued outputs. For a probabilistic surrogate, the total predictive covariance comprises the covariance of conditional means…