Shengxian Ding

Most members of an Alzheimer's cohort contribute only one partially observed cross-sectional snapshot, leaving their stage, subtype and stage-varying multimodal coupling unresolved. ELPAC anchors subtype trajectories at clinically reliable endpoint groups and integrates backward along biologically constrained velocity fields, then factorizes residual multimodal variation around that stage axis into sparse coordination axes that strengthen or fade with stage. On synthetic data and a harmonized ADNI+NACC/SCAN cohort it recovers the latent structure, returns calibrated prediction intervals and yields multimodal coordination programs that differ by subtype.

Most members of an Alzheimer's cohort contribute only one partially observed cross-sectional snapshot, leaving their stage, subtype and stage-varying multimodal coupling unresolved. ELPAC anchors subtype trajectories at clinically reliable endpoint groups and integrates backward along biologically constrained velocity fields, then factorizes residual multimodal variation around that stage axis into sparse coordination axes that strengthen or fade with stage. On synthetic data and a harmonized ADNI+NACC/SCAN cohort it recovers the latent structure, returns calibrated prediction intervals and yields multimodal coordination programs that differ by subtype.