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Chain-of-Thought unlocks branching complexity in Transformers

Researchers have developed new Chain of Thought (CoT) constructions that demonstrate how to realize branching complexity in Transformers. These constructions provide explicit, depth-bounded methods for depth-first search (DFS) and Dijkstra's algorithm, utilizing hard-attention decoders. The work shows that CoT can compute the Strahler number of a tree in linear steps and relates ordered trees to Dyck paths, offering new insights into the expressive capabilities of bounded-depth Transformers. AI

IMPACT Enhances understanding of Transformer capabilities and potential for complex computational tasks.

RANK_REASON The cluster contains an academic paper detailing novel research on Chain of Thought in Transformers.

Read on Hugging Face Daily Papers →

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Chain-of-Thought unlocks branching complexity in Transformers

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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Debanjan Dutta, Anish Chakrabarty, Swagatam Das ·

    Chain-of-Thought Shows the Path to a Tree: Realizing Branching Complexity

    arXiv:2608.11716v1 Announce Type: new Abstract: Chain of Thought (CoT) lifts the expressive ceiling of bounded-depth Transformers, with characterizations tying the number of CoT steps to circuit complexity classes. What remains largely missing are concrete instantiations with exp…

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    Chain-of-Thought Shows the Path to a Tree: Realizing Branching Complexity

    Chain of Thought (CoT) lifts the expressive ceiling of bounded-depth Transformers, with characterizations tying the number of CoT steps to circuit complexity classes. What remains largely missing are concrete instantiations with explicit, depth-bounded constructions, and the trav…