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abstract indexed · arXiv 2609.39185 · updated 2026-10-18

Low-Discrepancy Dither for Quantized Recurrent State Caches

First page of Low-Discrepancy Dither for Quantized Recurrent State Caches
From the original paper · arXiv 2609.39185Page 1. Select the image to read the PDF.

The method replaces stochastic rounding (and round-to-nearest) used when writing a low-precision Mamba-style or hybrid recurrent state back to cache with a deterministic golden-ratio Weyl dithering rule. It costs nothing: no random number generation, no extra memory or latency, only a deterministic offset added before rounding, though implementations must match the documented pitfalls to retain the benefit. It can fail if the reader's stack uses only transformer attention with a KV cache (the technique applies to recurrent state caches), if the implementation subtly misapplies the dither sequence, or if evaluations are too short to reveal the error accumulation it prevents.

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What you would change

Change only the attention cache policy, after checking model and runtime support.

Try the idea on your product

A proposed first test. Set your budget and success criteria before running it.

Change only the attention cache policy, after checking model and runtime support.

Compare against

The same model with its ordinary attention cache.

  1. Locate the paper's implementation and check its license, model support, data needs, and hardware requirements. Stop here if you cannot obtain the required artifacts.
  2. Save a small set of representative product tasks and expected outcomes. Keep evaluation tasks out of any training or tuning, and choose quality and cost limits before running.
  3. Run the baseline and the proposed change on identical inputs. Keep other settings fixed and repeat paired runs to expose variation.
  4. Save per-task outputs, failures, timings, and all usage costs. Review regressions before expanding the test.

What to measure

Peak cache memory, long-context answer quality, first-token latency, and requests completed.

When to keep it

Keep the change only if it meets your preselected quality and latency limits and improves the metric you care about after setup and operating costs. Otherwise retain the baseline. This is an exploration plan, not a validated recommendation.

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Why it was shortlisted

The technical change, research area, and reason it entered the archive.

recommendation
adopt
research area
KV cache
technical change
Golden-ratio Weyl dither for quantized recurrent state
published
2026-09-30

For any deployment that stores Mamba-style recurrent states in low precision, this is a zero-cost, drop-in replacement for stochastic rounding with strictly better long-horizon fidelity, provided the team actually runs such models.

About the technical core

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Claims and evidence

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  1. claim 01Paperraft inference
    Read the brief interpretation

    The method replaces stochastic rounding (and round-to-nearest) used when writing a low-precision Mamba-style or hybrid recurrent state back to cache with a deterministic golden-ratio Weyl dithering rule. It costs nothing: no random number generation, no extra memory or latency, only a deterministic offset added before rounding, though implementations must match the documented pitfalls to retain the benefit. It can fail if the reader's stack uses only transformer attention with a KV cache (the technique applies to recurrent state caches), if the implementation subtly misapplies the dither sequence, or if evaluations are too short to reveal the error accumulation it prevents.

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

    Inspect the source
  2. claim 02Paperraft inference

    A deterministic golden-ratio Weyl dither keeps the quantized recurrent state consistently closer to the full-precision model than stochastic rounding across pure and hybrid Mamba-style models, storage formats, and long decoding horizons; no numerical factor is reported in the abstract.

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

    Inspect the source

Exposure map

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quality

Still unknown

Which tasks improve, and which regress against the baseline?

compute and memory

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latency

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Are startup time, typical response time, and slow requests measured separately?

operations

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What must be monitored, maintained, and rolled back?

software compatibility

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Does the implementation support your model, runtime, and hardware?

security

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What new data access, permissions, or trust boundaries does it introduce?

data and training

Still unknown

What data preparation or training is required, and is it included in the cost?

reproducibility

Still unknown

Are code, versions, inputs, and evaluation scripts available?

Continue the investigation

A reading guide for KV cache.

Editorial prompts, not findings from this paper or a validated test plan. Detailed analysis is still pending for the topics below.

What to inspect

Which tokens or cache entries are retained, compressed, or discarded? Look for tests of lost information.

Plan a fair comparison

Can you keep prompts and decoding settings fixed while measuring cache size, latency, and answer quality?

Questions for adoption

Does the evaluation cover long conversations and questions about information introduced early?

Read the paper with these questions

Inside the paper

Preview the first 3 pages of the original PDF. Click the stack to turn the page.

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

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arXiv 2609.39185

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