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Scoped primary-source review of predictive states, recurrent filtering and finite-history benchmark overlap.

RP002A literature collision and contribution review

Date: 2026-10-08. Scoped design review, not an exhaustive systematic review or novelty clearance. No new scientific Claim is promoted. The first engineering pilot remains the only model-training run.

Search and inspection record

Searches on 2026-10-08 covered predictive state representations, observable operator models, recurrent filtering, finite-history prediction benchmarks, and 2024–2026 HMM/next-token comparisons. Queries included observable operator models Jaeger, recurrent networks hidden Markov prediction benchmark 2024 2025 2026, Complexity-calibrated Benchmarks, and hidden Markov prediction 2025 transformers. Primary conference, journal, author and arXiv sources were used for judgments. Search snippets only guided discovery. No database-export screening or complete forward/backward citation census was performed; coverage is explicitly incomplete.

Inspected overlap

Source Inspection scope Established overlap Consequence for RP002A
Littman, Sutton & Singh, 2001 Prior recorded reading of sections 1–2 and Theorem 1 Predictive state and recursive updates for finite partially observed models No novelty for representing predictive history recursively
Thon & Jaeger, 2015 Introduction and model relationship discussion; not all proofs Links between HMMs, observable operator models and predictive state representations Our finite HMM and belief filter lie inside established model families
Downey et al., 2017 Abstract and introduction Predictive recurrent networks combine filtering, prediction and learned updates Learned recursive prediction is not a new architecture category
Hefny et al., 2018 Sections 1–3, including filtering and two-stage initialization Predictive-state filtering with end-to-end optimization in a policy architecture Control/rewards differ from our passive task; GRU training must not inherit their initialization guarantees
Marzen, Riechers & Crutchfield, 2024 author manuscript Abstract, process/finite-history discussion and entropy-gap analysis; manuscript dated March 28, 2024 Complexity-calibrated stochastic prediction benchmarks and limitations of finite-past traces Close collision with the proposed finite-window versus history-reference comparison
Piotrowski et al., arXiv v2, 2025 Abstract and version metadata only HMM next-token prediction and constrained belief updates in transformers Modern overlap lead; architecture-specific results are not transferred to GRUs

The Marzen et al. overlap is particularly direct: measuring a finite-history predictor against attainable prediction limits is already a benchmark strategy. Our erasure-bit process is a small transparent fixture; we have not established that its exact parameterization is unique. The transformer paper remains a scoped discovery lead, not a full-method clearance. No unsupported claim of first use is made.

Generator and comparator mapping

E0 is a fully observed stationary two-state Markov chain. E1 is the same chain with independent observation erasures. E2 has independent latent bits and independent erasures. B3 is the ordinary observed-history Bayesian filter, not access to realized latent states. B0 is a learned current-observation categorical table; B1 and B2 are generic MLP/GRU predictors. These are operational test fixtures and existing methods.

Contribution disposition

Retain RP002A as a controlled boundary and reproducibility study. Its useful deliverable is a traceable comparison with declared information access, causal resets, explicit optimization limits and negative/indeterminate outcomes. Do not claim a new memory theory, new recurrent architecture, recurrence necessity or general unification. A publishable novelty claim needs an identified difference and broader citation/benchmark review; novelty is not required to execute an honestly framed replication/boundary study.

Remaining collision work

Inspect the closest benchmark's released generators/evaluation code if available; compare loss target, erasure construction and information access explicitly. Read the full 2025 transformer methods only if making an architecture-comparison claim. Extend forward/backward citations before any novelty assertion. These tasks do not justify changing the frozen baseline definitions.

Source record

Repository path: research/RP002A/COLLISION_REVIEW.md

SHA-256: a2e0191f11a2f14947f51c59e6ac4d7c352f41ba6ae8e6cfdfb5f423c3aa9459

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