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Latent Dynamics · 2026-10-06

When Low Prediction Error Misleads Planning: Diagnosing Representation, Dynamics, and Decision Failures in Latent World Models

Rui Min, Xianyao Li, Fang Xu, Jing Du

arXiv:2610.05550PDF

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 show that the latent prediction-error component with the largest impact on MSE need not be the one whose correction improves action selection. Using a center/response split of endpoint error and matched-candidate tests across four tasks and four model families, they find MSE is dominated by center error in 14/16 cells, but in six cells correcting action-relative responses yields better physical rank correlation and top-30 elite quality.

Why it matters

Latent world models are often evaluated by aggregate prediction error, but the paper argues that decision quality depends on which parts of prediction error affect candidate ordering. The center/response and scale–direction diagnostics separate error magnitude from decision effects, motivating evaluation as separate stages: representation, prediction, and planning, rather than relying on a single MSE metric.

Method

  • Restore identical physical starts, generate alternative action sequences, and compare predicted vs realized endpoints on fixed candidate pools.
  • Decompose endpoint MSE into candidate-pool center (common-mode) error and action-relative response error; use oracle replacements to isolate decision effects.
  • Use matched-candidate localization (compare predicted- vs realized-outcome costs; measure Spearman rank correlation and top-30 elite overlap) and matched response diagnostics (direction/scale).

Limitation

For the fixed-pool objective diagnostics, the authors note these oracle replacements are non-deployable diagnostics with unequal true-future information (e.g., SHAPE receives true response vectors while AMP receives their energy), so they do not directly correspond to a deployable planning correction.

Abstract (from arXiv)

The component that dominates a latent world model's prediction error need not be the one whose repair most improves action selection. We show this by comparing action sequences from identical physical starts and separating endpoint error into a candidate-pool center and action-relative responses. Across four model families and four tasks, a confirmation pool of 256 new starts per task and 300 shared candidates per start shows that center error dominates MSE in 14/16 model-task cells. Yet in six of these cells, an oracle that corrects only the action-relative responses yields better physical rank correlation and top-30 elite quality than one that corrects only the center, while leaving more latent MSE (family-wise corrected intervals). The preference differs across the evaluated settings: a separate LeWorldModel (LeWM) study that executes oracle-selected actions favors center repair on PushT and on Reacher with a render-matched goal. Matched-candidate tests localize ordering loss: for LeWM, encoding realized endpoints raises physical Spearman from 0.464 to 0.975 on that Reacher setting and from 0.193 to 0.631 on PushT (64 starts per task), while Cube's encoded-goal cost remains uninformative. A 72-run objective study improves selected response diagnostics, while incremental closed-loop planning gains remain unconfirmed. These results separate error magnitude from the decision effects of oracle correction and motivate evaluating representation, prediction, and planning as separate stages.

Related papers

Publication record

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First public release: 2026-10-04 · Indexed by Pub-AI: 2026-10-06 UTC

preprint

When Low Prediction Error Misleads Planning: Diagnosing Representation, Dynamics, and Decision Failures in Latent World Models

Rui Min, Xianyao Li, Fang Xu, Jing Du

Preprint posted: 2026-10-04 · Original record ↗

arxiv
2610.05550
Explicit source versions (1)
  • v1 · 2026-10-04
  1. Preprint available

    Source date: 2026-10-04 · First detected: 2026-10-25 UTC · Historical baseline

    Source evidence (1)
Abstract · arxiv

The component that dominates a latent world model's prediction error need not be the one whose repair most improves action selection. We show this by comparing action sequences from identical physical starts and separating endpoint error into a candidate-pool center and action-relative responses. Across four model families and four tasks, a confirmation pool of 256 new starts per task and 300 shared candidates per start shows that center error dominates MSE in 14/16 model-task cells. Yet in six of these cells, an oracle that corrects only the action-relative responses yields better physical rank correlation and top-30 elite quality than one that corrects only the center, while leaving more latent MSE (family-wise corrected intervals). The preference differs across the evaluated settings: a separate LeWorldModel (LeWM) study that executes oracle-selected actions favors center repair on PushT and on Reacher with a render-matched goal. Matched-candidate tests localize ordering loss: for LeWM, encoding realized endpoints raises physical Spearman from 0.464 to 0.975 on that Reacher setting and from 0.193 to 0.631 on PushT (64 starts per task), while Cube's encoded-goal cost remains uninformative. A 72-run objective study improves selected response diagnostics, while incremental closed-loop planning gains remain unconfirmed. These results separate error magnitude from the decision effects of oracle correction and motivate evaluating representation, prediction, and planning as separate stages.