What does this research mean for the field?

Aggregate covariance calibration in a multi-step memory simulator does not imply memory-specific directional reachability, as analytical propagation fails to meet structural-direction criteria despite passing aggregate calibration. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

Assess whether multi-step analytical covariance propagation through an ordered replay sequence ensures memory-specific directional reachability in a truth-known simulator.

August 30, 2026Open Access

Calibrated Closure-Epoch Covariance Does Not Imply Memory-Specific Reachability

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Assess whether multi-step analytical covariance propagation through an ordered replay sequence ensures memory-specific directional reachability in a truth-known simulator.
Compared analytical latent-state covariance propagation against 2,000 Monte Carlo perturbation rollouts per condition across three rollout seeds, four mechanisms, four mechanism seeds, three motifs, and two epoch definitions.
Evaluated aggregate calibration alongside a predeclared desired-versus-false structural-direction criterion requiring a ratio of at least 1.5.
Aggregate calibration passed under the saturation-avoiding regime at initial covariance Σ₀ = 10⁻⁶ I, with mean covariance error of 0.060–0.102 and mean nominal-90% coverage of 0.901–0.907.
The structural-direction criterion failed in every condition, producing analytical ratios of 0.997–1.000 and rollout ratios of 0.974–0.988, falling below the required 1.5 threshold.

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Implication

Simulation study demonstrates that aggregate covariance calibration passes while directional reachability fails in a memory simulator, indicating numerical accuracy does not ensure memory specificity.

Cite This Study

Robin Langell (2026) studied this question.

synapsesocial.com/papers/6a93f0f56c1a8fb52e79d8fb https://doi.org/10.5281/zenodo.22141078

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Calibrated Closure-Epoch Covariance Does Not Imply Memory-Specific Reachability

Key Points

Discussion

Implication

Cite This Study

Calibrated Closure-Epoch Covariance Does Not Imply Memory-Specific Reachability

Key Points

Discussion

Implication

Cite This Study

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