Ziming Liu
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  • Sparse attention 5 -- Attention sink

    6 min read   ·   January 22, 2026

    2026   ·   Physics-of-AI   Sparse-attention     ·   AI  

  • Bigram 4 -- On the difficulty of spatial map emergence

    7 min read   ·   January 21, 2026

    2026   ·   Physics-of-AI   Bigram   Toy-language     ·   AI  

  • Depth 1 -- Understanding Pre-LN and Post-LN

    7 min read   ·   January 20, 2026

    2026   ·   Physics-of-AI   Depth     ·   AI  

  • Bigram 3 -- Low Rank Structure

    4 min read   ·   January 19, 2026

    2026   ·   Physics-of-AI   Bigram   Toy-language     ·   AI  

  • Bigram 2 -- Emergence of Hyperbolic Spaces

    9 min read   ·   January 16, 2026

    2026   ·   Physics-of-AI   Bigram   Toy-language     ·   AI  

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