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Ingegneria Sismica

Ingegneria Sismica

Quantification of Numerical Prediction Uncertainty Based on Multimodal Large Model Generation Capabilities

Author(s): Guosen Ma1
1School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, Hainan, China
Ma, Guosen. “Quantification of Numerical Prediction Uncertainty Based on Multimodal Large Model Generation Capabilities.” Ingegneria Sismica Volume 43 Issue 2: 1-20, doi:10.65102/is2026865.

Abstract

MLLM-UQ is a new framework for uncertainty quantification in numerical prediction based on a multimodal large language model (MLLM), and traditional methods have not fully accounted for prediction uncertainty. MLLM-UQ has the following three innovations: A Hierarchical Multimodal Alignment and Adaptive Gated Fusion mechanism (HMA-AGF) for dynamically integrating tabular, image and text data; a multi-granularity uncertainty decomposition framework based on hierarchical Bayesian inference to quantify different types of uncertainty (epistemic, aleatoric and distributional); and an Uncertainty-Aware Adaptive Loss (UAAL) function that modifies learning according to sample-level uncertainty. Experiments on all the above benchmarks have achieved the expected results, with a reduction in RMSE and MAE of 23.3% and 26.1%, respectively, an increase in 96.0% Prediction Interval Coverage Probability (PICP), and a decrease in Mean Prediction Interval Width (MPIW) by 23.7%; thus, both the accuracy and reliability have been enhanced.

Keywords
multimodal large language models; numerical prediction; uncertainty quantification; adaptive gated fusion; conformal prediction; hierarchical Bayesian inference

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