Beyond Multimodal Gain: Sharp Partial Identification of Task-Relevant Latent-State Information

This record contains the preprint PDF and complete LaTeX source for “Beyond Multimodal Gain: Sharp Partial Identification of Task-Relevant Latent-State Information.” The paper develops a sharp partial-identification framework for measuring task-relevant latent-state information beyond an observed report. It provides observable information witnesses, compatibility conditions, sharp lower and upper bounds, sensitivity analysis, and cluster-aware inference, with simulations and empirical applications to NHANES, MELD, and CrossCheck.