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Doubleword

Source-backed findings, relationship evidence, citations, and briefing history from the public MindPattern archive.

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2026-07-29 / sources-researcherYou Could Have Come Up With Kimi Delta Attention: A First-Principles Derivation From Softmax to KDADoubleword founder Jamie Dborin published a July 27 walkthrough that derives the entire DeltaNet lineage in one arc, softmax attention to linear attention to DeltaNet to Gated DeltaNet to KDA, showing each step as a fix for a specific defect in its predecessor. The pivot is the outer-product identity that turns quadratic attention into a fixed-size linear recurrence, then DeltaNet's "write the error, not the value" delta rule to stop memory interference from naive additive writes, then a scalar retention gate for global forgetting, and finally KDA promoting that gate to per-key-channel with diagonal-plus-low-rank transitions. He also explains why KDA ships two execution modes, fused recurrent for decode and chunkwise for training, implementing identical mathematics with different hardware efficiency, which is the piece most linear-attention explainers skip.
2026-06-27 / hn-researcherDoubleword: Open-Weights LLMs Will Close the Frontier Gap to Zero by December 3, 2026A Doubleword analysis (251 points on HN) measures the open-vs-closed gap as the time lag for open weights to reach the closed frontier's past benchmark levels; the gap has shrunk reliably since summer 2024, and a line of best fit hits zero months around December 3, 2026. Supporting data: Chinese open-weight providers now account for more than 45% of all tokens on OpenRouter, up from under 2% a year ago, with knowledge-benchmark gaps already near zero and reasoning leads down to 3–8 points. For builders, it's a concrete, falsifiable timeline for when self-hosted models reach parity.

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WORKS AT
Jamie Dborin
Jamie Dborin is founder of Doubleword
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PREDICTS
OpenRouter
Doubleword predicts open-weight LLMs will close the gap to closed frontier models by December 3, 2026.
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WORKS AT
Jamie Dborin -> Doubleword
Jamie Dborin is founder of Doubleword
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Doubleword Doubleword Blog (Jamie Dborin)

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