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Latent Dynamics · 2026-10-09

Similar Predictive Fit but Different Latent Dynamics: Characterizing Learned Dynamical Structure in Personalized Models of Brain Disorders

Rita Huan-Ting Peng, Nhat Bui

arXiv:2610.10850PDF

AI-assisted summary based on the paper. Consult the linked source for methods and limitations. Benchmark numbers appear after editor verification.

TL;DR

The authors study whether personalized latent dynamics differ between epilepsy and non-epilepsy when predictive fit is similar. Using frozen EEG foundation representations and subject-specific mLTD transition-dependency graphs, they find epilepsy models retain denser dependency structure (e.g., nonzero dependencies and densities) at k=4 and k=6, while held-out log-likelihood and within-subject next-state AUROC are nearly matched.

Why it matters

The authors show a fit–structure dissociation: comparable predictive validity does not imply comparable learned latent dynamical structure in personalized clinical models. They further report that graph-derived features provide moderate epilepsy vs. non-epilepsy discrimination even when predictive fit is similar, motivating evaluation of learned structure alongside predictive performance before intervention-aware patient world modeling.

Method

  • Pretrain a lightweight CNN–Transformer EEG encoder on TUEG with self-supervised reconstruction; freeze it for TUEP analyses.
  • Map TUEP segment representations (30-s segments) into a shared latent-state space via global k-means (k=4 primary; k=6 for robustness).
  • For each subject, fit sparse multinomial logistic transition distributions (mLTD) to estimate a personalized sparse directed latent transition-dependency graph W_n; compare predictive validity vs. learned dynamical structure across groups.

Limitation

Limitations include: learned k-means states are unsupervised with no established clinical/physiological semantics; the analysis is observational case–control so differences in W_n represent predictive temporal dependencies rather than causal mechanisms/treatment effects; non-null sensitivity analyses suggest density differences are not solely due to all-zero graphs; only one frozen EEG foundation model is used; cross-encoder concordance for W_n is not established; prospective test–retest and longitudinal analyses are needed to establish stability and clinical generalizability.

Abstract (from arXiv)

As AI models move toward clinical decision-making and personalized treatment, understanding \emph{what} a model learns is important beyond predictive accuracy alone. We investigate whether personalized latent dynamics reveal clinically associated differences even when predictive fit is similar. A lightweight CNN--Transformer EEG foundation model pretrained on the Temple University EEG Corpus (TUEG) extracts segment-level representations. Using the Temple University Epilepsy Corpus (TUEP), representations are mapped to a shared latent-state space, and sparse multinomial logistic transition distributions (mLTD) are fit independently to each subject to obtain personalized transition-dependency graphs $W_n$. Analyses include $n{=}198$ subjects (99 epilepsy / 99 non-epilepsy). At $k{=}4$, epilepsy subjects exhibit substantially denser learned dependency structure ($p{=}1.1\times10^{-7}$), with the same pattern at $k{=}6$ (19.90 vs. 13.46; $p{=}5.2\times10^{-5}$). Graph-derived features provide moderate group discrimination under 5-fold subject-wise cross-validation (AUROC 0.68 at $k{=}4$; 0.65 at $k{=}6$). In contrast, held-out log-likelihood is nearly identical between groups at $k{=}4$ ($-0.992$ vs. $-0.991$; $p{=}0.95$), with similarly matched next-state prediction (AUROC 0.855 vs. 0.861; $p{=}0.54$). Thus, similar predictive fit does not imply similar learned dynamics: groups can be comparably predictable while differing substantially in the internal dynamical structure learned by personalized models. This distinction motivates evaluating learned structure alongside predictive performance in personalized clinical models.

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Publication record

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First public release: 2026-10-07 · Indexed by Pub-AI: 2026-10-09 UTC

preprint

Similar Predictive Fit but Different Latent Dynamics: Characterizing Learned Dynamical Structure in Personalized Models of Brain Disorders

Rita Huan-Ting Peng, Nhat Bui

Preprint posted: 2026-10-07 · Original record ↗

arxiv
2610.10850
Explicit source versions (1)
  • v1 · 2026-10-07
  1. Preprint available

    Source date: 2026-10-07 · First detected: 2026-10-25 UTC · Historical baseline

    Source evidence (1)
Abstract · arxiv

As AI models move toward clinical decision-making and personalized treatment, understanding \emph{what} a model learns is important beyond predictive accuracy alone. We investigate whether personalized latent dynamics reveal clinically associated differences even when predictive fit is similar. A lightweight CNN--Transformer EEG foundation model pretrained on the Temple University EEG Corpus (TUEG) extracts segment-level representations. Using the Temple University Epilepsy Corpus (TUEP), representations are mapped to a shared latent-state space, and sparse multinomial logistic transition distributions (mLTD) are fit independently to each subject to obtain personalized transition-dependency graphs $W_n$. Analyses include $n{=}198$ subjects (99 epilepsy / 99 non-epilepsy). At $k{=}4$, epilepsy subjects exhibit substantially denser learned dependency structure ($p{=}1.1\times10^{-7}$), with the same pattern at $k{=}6$ (19.90 vs. 13.46; $p{=}5.2\times10^{-5}$). Graph-derived features provide moderate group discrimination under 5-fold subject-wise cross-validation (AUROC 0.68 at $k{=}4$; 0.65 at $k{=}6$). In contrast, held-out log-likelihood is nearly identical between groups at $k{=}4$ ($-0.992$ vs. $-0.991$; $p{=}0.95$), with similarly matched next-state prediction (AUROC 0.855 vs. 0.861; $p{=}0.54$). Thus, similar predictive fit does not imply similar learned dynamics: groups can be comparably predictable while differing substantially in the internal dynamical structure learned by personalized models. This distinction motivates evaluating learned structure alongside predictive performance in personalized clinical models.