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abstract indexed · arXiv 2609.16183 · updated 2026-10-18

Anatomy of Associative Recall in Fixed-State Recurrences: A Matched-State Decomposition, an Interference Wall, and a Curriculum That Breaks It

First page of Anatomy of Associative Recall in Fixed-State Recurrences: A Matched-State Decomposition, an Interference Wall, and a Curriculum That Breaks It
From the original paper · arXiv 2609.16183Page 1. Select the image to read the PDF.

This replaces the assumption that fixed-state recurrences (linear attention, SSMs) are inherently poor at associative recall: it attributes the gap to the missing short convolution and to training interference, and fixes both via a convolution plus a distance or accuracy-gated curriculum. The cost is architectural modification to the recurrent cell and a curriculum schedule with per-seed retraining, all on synthetic benchmarks rather than validated production tasks. It can fail because results are confined to synthetic masked multi-query recall, lock-in remains a seed lottery (7/10, not 10/10), the uniform curriculum and simple ramp collapse at longer lengths, and transfer to real language-modeling workloads is unproven.

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Why it was shortlisted

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recommendation
test
research area
efficient architectures
technical change
Conv-armed recurrent cells with recall curriculum
published
2026-09-14

The interventions are cheap and small-team feasible, but the evidence comes from controlled synthetic recall tasks, so adoption in production models requires workload-specific validation before committing.

Central equations

Original equations, typeset for reading. Paperraft explanations connect the mechanism, its aim, and the evidence.

DeltaNet (rank-1, no decay) applies the delta rule (Schlag et al., 2021; Yang et al., 2024b), with input-dependent write strength βt∈(0,1):

𝐒t=𝐒t−1​(𝐈−βt​kt​kt⊤)+βt​vt​kt⊤,ot=𝐒t​qt.

equation (1) · §3 Cells, Tasks, and Protocol · baseline

Gated DeltaNet (gated_deltanet; rank-1 + decay) adds a learned scalar gate αt∈(0,1) (Yang et al., 2024a):

𝐒t=αt​𝐒t−1​(𝐈−βt​kt​kt⊤)+βt​vt​kt⊤.

equation (2) · §3 Cells, Tasks, and Protocol · proposed method

Mamba-2 reference (mamba2_ref) is a pure-PyTorch state-matched implementation of the Mamba-2 SSD recurrence (Dao and Gu, 2024): a per-head scalar selective diagonal scan over an explicit state 𝐇t∈ℝdinner×dstate,

𝐇t=at​𝐇t−1+xt​bt⊤,yt=𝐇t​ct,

equation (5) · §3 Cells, Tasks, and Protocol · baseline

equations from arXiv HTML · fetched 2026-10-11

Claims and evidence

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  1. claim 01Paperraft inference
    Read the brief interpretation

    This replaces the assumption that fixed-state recurrences (linear attention, SSMs) are inherently poor at associative recall: it attributes the gap to the missing short convolution and to training interference, and fixes both via a convolution plus a distance or accuracy-gated curriculum. The cost is architectural modification to the recurrent cell and a curriculum schedule with per-seed retraining, all on synthetic benchmarks rather than validated production tasks. It can fail because results are confined to synthetic masked multi-query recall, lock-in remains a seed lottery (7/10, not 10/10), the uniform curriculum and simple ramp collapse at longer lengths, and transfer to real language-modeling workloads is unproven.

    This is a Paperraft inference. It is not pinned to a verified PDF passage.

    Inspect the source
  2. claim 02Paperraft inference

    A short causal convolution adds ~0.5 recall at matched state and training; a distance-based curriculum raises 32-pair distractor-haystack retrieval from 0.021 to 1.000 and raises seed lock-in from 1/10 to 7/10 (p=0.02), with accuracy-gated ramps reaching 6/6 at L=512 (p=0.001).

    This is a Paperraft inference. It is not pinned to a verified PDF passage.

    Inspect the source

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Provisional research brief updated 2026-10-18. Paperraft has not reproduced this experiment.

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