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LaneRoPE: Positional Encoding for Collaborative Parallel Reasoning and Generation

LaneRoPE enables multiple LLM sequences to collaborate during generation via inter-sequence attention and extended RoPE, improving accuracy on math reasoning tasks with minimal architectural changes and negligible inference overhead.

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Key points

  • Introduces inter-sequence attention mask to make sequence sampling dependent.
  • Extends RoPE to capture relative positions both within and across sequences.
  • Achieves accuracy gains on math reasoning under limited generation length.
  • Requires minimal changes to LLM architecture and negligible overhead.

Why it matters

This matters because introduces inter-sequence attention mask to make sequence sampling dependent.

Technical impact

May affect model selection, inference cost, product capability, and evaluation benchmarks.

[2605.27570] LaneRoPE: Positional Encoding for Collaborative Parallel Reasoning and Generation

[Submitted on 26 May 2026]

Title:LaneRoPE: Positional Encoding for Collaborative Parallel Reasoning and Generation

View a PDF of the paper titled LaneRoPE: Positional Encoding for Collaborative Parallel Reasoning and Generation, by Gabriele Cesa and 5 other authors

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Abstract:Parallel LLM test-time scaling techniques (e.g., best-of-$N$) require drawing $N>1$ sequences conditioned on the same input prompt. These methods boost accuracy while exploiting the computational efficiency of batching $N$ generations. However, each sequence in the batch is traditionally generated independently and hence does not reuse intermediate generations, computations, or observations from other sequences. In this paper, we propose LaneRoPE to enable coordination and collaboration among $N>1$ sequences at generation time. LaneRoPE involves two key ideas: (a) an inter-sequence attention mask to make sampling of sequences dependent on one another; and (b) a RoPE extension that injects positional information that captures relative positions between tokens, both within and outside a particular sequence. We evaluate our approach on mathematical reasoning tasks and find promising results: LaneRoPE enables collaboration among sequences, yielding additional accuracy gains under limited generated sequence length. Importantly, since LaneRoPE enables coordination with minimal changes to the underlying LLM architecture and introduces a negligible overhead at inference time, it is appealing to rapidly incorporate parallel reasoning into existing LLM inference pipelines.

Subjects:

Artificial Intelligence (cs.AI)

Cite as: arXiv:2605.27570 [cs.AI]

(or arXiv:2605.27570v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.27570

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Gabriele Cesa [view email] [v1] Tue, 26 May 2026 18:43:15 UTC (631 KB)

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