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ConsciousnessLearn · Explore · Joseph Anady

Latent-cache arithmetic and the embedded implementation mismatch

The arithmetic (512+64)×2=1152 bytes is correct for a cache storing one compressed key/value latent and one rotary key vector per token and layer at two bytes per element. The dossier’s embedded eager code instead caches reconstructed per-head keys and…

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donor-deepseek-latent-cache-claimdocumented formula or resource estimate
compressedkv(512)+krope(64)=576elementsx2B=1,152B.compressed_kv (512) + k_rope (64) = 576 elements x 2 B = 1,152 B.

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The arithmetic (512+64)×2=1152 bytes is correct for a cache storing one compressed key/value latent and one rotary key vector per token and layer at two bytes per element. The dossier’s embedded eager code instead caches reconstructed per-head keys and values:128×(192+128)×2=81920 bytes. Its FlashAttention path pads values to 192 before caching, giving 98304 bytes. The official optimized absorbed path provides the latent representation; it is a separate implementation choice.

Terms & definitions

TermMeaning in this source
compressed_kv

512 latent components

k_rope

64 rotary components

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Original context

Read the surrounding source passage
A conventional 128-head KV cache would store K and V per head:
          128 heads x (128 + 128) x 2 bytes = 65,536 B per token per layer.
      MLA caches the LATENT instead:
          compressed_kv (512) + k_rope (64) = 576 elements x 2 B = 1,152 B.
      A 56.9x reduction.
      k_nope and v are RECONSTRUCTED from the 512-dim latent through kv_b_proj on
      every decode step, so the memory saving is paid for in compute: the KV read
      path and the kv_b_proj matmul are coupled.
Exact original notation
compressed_kv (512) + k_rope (64) = 576 elements x 2 B = 1,152 B.

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Sources & provenance

01
DEEPSEEK_R1_COMPLETE.txt
lines 909–909 · Aug 5, 2026
compressed_kv (512) + k_rope (64) = 576 elements x 2 B = 1,152 B.
02
DEEPSEEK_R1_COMPLETE.txt
lines 909–909 · Aug 5, 2026
compressed_kv (512) + k_rope (64) = 576 elements x 2 B = 1,152 B.

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