How Fast Should a Model Commit to Supervision? Training Reasoning Models on the Tsallis Loss Continuum

📰 ArXiv cs.AI

Learn how to train reasoning models using the Tsallis loss continuum to adapt to new tasks with limited supervision

advanced Published 29 Apr 2026
Action Steps
  1. Define the Tsallis loss family $J_Q$ using the Tsallis $q$-logarithm
  2. Interpolate between RLVR and log-marginal-likelihood by adjusting the $q$ value
  3. Train a reasoning model using the Tsallis loss continuum with output-level supervision
  4. Evaluate the model's performance on a new task and adjust the $q$ value as needed
  5. Compare the results with traditional RLVR and density-estimation approaches
Who Needs to Know This

Researchers and engineers working on reasoning models and reinforcement learning can benefit from this approach to improve model adaptation and performance

Key Insight

💡 The Tsallis loss continuum allows for interpolation between exploitation and density-estimation, enabling more effective adaptation to new tasks

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🤖 Train reasoning models with limited supervision using the Tsallis loss continuum! 📊

Key Takeaways

Learn how to train reasoning models using the Tsallis loss continuum to adapt to new tasks with limited supervision

Full Article

Title: How Fast Should a Model Commit to Supervision? Training Reasoning Models on the Tsallis Loss Continuum

Abstract:
arXiv:2604.25907v1 Announce Type: cross Abstract: Adapting reasoning models to new tasks during post-training with only output-level supervision stalls under reinforcement learning from verifiable rewards (RLVR) when the initial success probability $p_0$ is small. Using the Tsallis $q$-logarithm, we define a loss family $J_Q$ that interpolates between RLVR (at $q{=}0$, the exploitation pole) and the log-marginal-likelihood over latent trajectories (at $q{=}1$, the density-estimation pole). All m
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