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PonderLM-3: Adaptive Token-Wise Pondering with Differentiable Masking

arXiv cs.CL / 3/11/2026

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Key Points

  • PonderLM-3 is a pretraining framework that enables token-wise adaptive pondering by selectively allocating additional computation to tokens during inference, improving efficiency compared to uniform computation.
  • It introduces a differentiable attention mask during pretraining paired with a hard pruning rule at inference to maintain train-inference consistency.
  • PonderLM-3 achieves a stronger Pareto frontier, offering lower pretraining perplexity at equal inference FLOPs compared to existing adaptive baselines.
  • On downstream tasks, it matches the performance of fixed-step models like PonderLM-2 while using fewer FLOPs, demonstrating effective allocation of computational resources.
  • This framework offers an end-to-end differentiable approach for adaptive token-wise computation, improving generation quality by dynamically investing compute where it is most beneficial.

Computer Science > Computation and Language

arXiv:2603.02023 (cs)
[Submitted on 2 Mar 2026 (v1), last revised 10 Mar 2026 (this version, v2)]

Title:PonderLM-3: Adaptive Token-Wise Pondering with Differentiable Masking

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Abstract:Test-time scaling has shown that allocating more additional computation at inference can improve generation quality, motivating a natural follow-up question: where should this computation be spent? Building on this insight, we introduce PonderLM-3, a pretraining framework for token-wise adaptive pondering that learns to selectively allocate additional computation under purely self-supervised objectives, built on top of the PonderLM-2 backbone. This makes additional inference computation an allocatable per-token resource, so tokens receive more computation only when it is beneficial, rather than paying a uniform extra cost. To make this allocation learnable while maintaining train-inference consistency, PonderLM-3 injects a differentiable attention mask during pretraining and pairs it with a matching hard pruning rule at inference. PonderLM-3 defines a stronger Pareto frontier: compared with existing recursive or adaptive baselines, it achieves lower pretraining perplexity at equal inference FLOPs. On downstream benchmarks, PonderLM-3 attains comparable performance to fixed-step PonderLM-2 under the same maximum number of additional computation steps, while using fewer inference FLOPs in practice. Overall, PonderLM-3 provides an end-to-end differentiable and train-inference consistent framework for token-wise adaptive computation, enabling additional inference compute to be allocated where it is most useful rather than paid uniformly by every token.
Subjects: Computation and Language (cs.CL)
Cite as: arXiv:2603.02023 [cs.CL]
  (or arXiv:2603.02023v2 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2603.02023
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arXiv-issued DOI via DataCite

Submission history

From: He Li [view email]
[v1] Mon, 2 Mar 2026 16:05:02 UTC (3,682 KB)
[v2] Tue, 10 Mar 2026 14:33:30 UTC (3,683 KB)
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