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Breaking the Solver Bottleneck: Training Task Generators at the Learnable Frontier

Summary

As RL agents improve, the supply of frontier tasks—valid, solvable tasks at the right difficulty—becomes the limiting factor. The PROPEL framework trains task generators at a targeted solve rate using a lightweight activation probe that predicts solver pass rate, avoiding costly solver rollouts. Experiments show significant gains in generating learnable frontier tasks across coding and software engineering benchmarks.

SourcearXiv Machine LearningAuthor: Lorenz Wolf, Connor Watts, Roger Creus Castanyer, Geoffrey Bradway, Maxwill Lin, Augustine N. Mavor-Parker, Matthew Daborn-Sargent
Breaking the Solver Bottleneck: Training Task Generators at the Learnable Frontier
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[2606.18284] Breaking the Solver Bottleneck: Training Task Generators at the Learnable Frontier

[Submitted on 10 Jun 2026]

Title:Breaking the Solver Bottleneck: Training Task Generators at the Learnable Frontier

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Abstract:The limiting resource for training agents via reinforcement learning (RL) is increasingly frontier task supply: valid, solvable tasks just difficult enough to train the current model. As reasoning and agentic models improve, fixed task distributions saturate, while naive synthetic generation yields tasks that are trivial, impossible, or ill-posed. Training a task generator with RL to optimize validity and learnability can address this bottleneck, but direct optimization requires repeated solver rollouts per candidate. For software-engineering (SWE) tasks, a single rollout can take tens of minutes; solver-in-the-loop generator training is intractable. We introduce PROPEL, a solver-amortized framework for training task generators at the targeted solve rate. PROPEL trains a lightweight activation probe on a one-time labeled corpus of generated tasks and solver outcomes. The probe predicts target-solver pass rate from a frozen generator reference model and serves as a proxy for solve rate during generator optimization, reducing generator evaluation to a single forward pass. Across math, code, and software-engineering at multiple model scales, PROPEL shifts generation toward the targeted solve rate: for coding, tasks generated at the learnable frontier increase from $10.1\% \rightarrow 20.0\%$ for a Qwen2.5-3B-Instruct solver and from $5.3\% \rightarrow 12.6\%$ for a Qwen2.5-7B-Instruct solver. For SWE, PROPEL increases the share of generations at the targeted solve rate from $9.8\% \rightarrow 19.6\%$ for Qwen3.5-27B on repositories not seen during training of probe and generator.

Comments: 30 pages, 9 figures, 12 tables

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Computation and Language (cs.CL)

Cite as: arXiv:2606.18284 [cs.LG]

(or arXiv:2606.18284v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.18284

arXiv-issued DOI via DataCite

Submission history

From: Lorenz Wolf [view email] [v1] Wed, 10 Jun 2026 02:04:29 UTC (581 KB)

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Key points and analysis

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Key points

  • PROPEL uses a solver-amortized approach with a one-time labeled corpus to train an activation probe as a proxy for solve rate.
  • For coding tasks, PROPEL increased frontier task generation from 10.1% to 20.0% for Qwen2.5-3B-Instruct solver.
  • For SWE tasks, PROPEL increased targeted solve rate generations from 9.8% to 19.6% for Qwen3.5-27B on unseen repositories.

Highlights and analysis are generated automatically and may contain errors. Check the original source.

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