mlsanityData to 14 Oct 2026

ZeroSiam: An Efficient Asymmetry for Test-Time Entropy Optimization without Collapse

arXiv 2509.23183 ↗First posted 27 Sep 2025cs.LG cs.NIcited by 3

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Test-time entropy minimization helps adapt a model to novel environments and incentivize its reasoning capability, unleashing the model's potential during inference by allowing it to evolve and improve in real-time using its own predictions, achieving promising performance. However, pure entropy minimization can favor non-generalizable shortcuts, such as inflating the logit norm and driving all predictions to a dominant class to reduce entropy, risking collapsed solutions (e.g., constant one-hot outputs) that trivially minimize the objective without meaningful learning. In this paper, we reveal asymmetry as a key mechanism for collapse prevention and introduce ZeroSiam--an efficient asymmetric Siamese architecture tailored for test-time entropy minimization. ZeroSiam prevents collapse through asymmetric divergence alignment, efficiently achieved by a learnable predictor and a stop-gradient operator before the classifier. We provide empirical and theoretical evidence that ZeroSiam not only prevents collapse, but also regularizes biased learning signals, enhancing performance even when no collapse occurs. Despite its simplicity, extensive results show that ZeroSiam performs more stably over prior methods using negligible overhead, demonstrating efficacy on both vision adaptation and large language model reasoning tasks across challenging test scenarios and diverse models, including particularly collapse-prone tiny models.

Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 44 of its 58 references that are in the map. First posted on arXiv 27 Sep 2025.

Builds on

44 of 58 references.

Closest ancestors · 3

Same direction, newest first

  1. 2025TTRL: Test-Time Reinforcement Learning22 Apr
  2. 2023Let's Verify Step by Step31 May
  3. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 41

  1. 2024The Llama 3 Herd of Modelscited by 14,715
  2. 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 12,049
  3. 2018Representation Learning with Contrastive Predictive Codingcited by 7,777
  4. 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,513
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  6. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
  7. 2020Bootstrap your own latent: A new approach to self-supervised Learningcited by 4,750
  8. 2019Benchmarking Neural Network Robustness to Common Corruptions and Perturbationscited by 2,877
  9. 2020Exploring Simple Siamese Representation Learningcited by 2,866
  10. 2015Trust Region Policy Optimizationcited by 2,580
  11. 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
  12. 2021Barlow Twins: Self-Supervised Learning via Redundancy Reductioncited by 1,838
29 more
  1. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,392
  2. 2021VICReg: Variance-Invariance-Covariance Regularization for Self-Supervised Learningcited by 1,057
  3. 2019A Theoretical Analysis of Contrastive Unsupervised Representation Learningcited by 530
  4. 2022Efficient Test-Time Model Adaptation without Forgettingcited by 469
  5. 2016Regularization With Stochastic Transformations and Perturbations for Deep Semi-Supervised Learningcited by 441
  6. 2023Towards Stable Test-Time Adaptation in Dynamic Wild Worldcited by 415
  7. 2021MEMO: Test Time Robustness via Adaptation and Augmentationcited by 377
  8. 2023A Comprehensive Survey on Test-Time Adaptation under Distribution Shiftscited by 359
  9. 2016Unsupervised Domain Adaptation with Residual Transfer Networkscited by 341
  10. 2017How to Escape Saddle Points Efficientlycited by 285
  11. 2022Test-Time Training with Masked Autoencoderscited by 212
  12. 2018Understanding the impact of entropy on policy optimizationcited by 176
  13. 2023Bigger, Better, Faster: Human-level Atari with human-level efficiencycited by 147
  14. 2024MathScale: Scaling Instruction Tuning for Mathematical Reasoningcited by 144
  15. 2024Bigger, Regularized, Optimistic: scaling for compute and sample-efficient continuous controlcited by 108
  16. 2024Entropy is not Enough for Test-Time Adaptation: From the Perspective of Disentangled Factorscited by 106
  17. 2024Test-Time Model Adaptation with Only Forward Passescited by 74
  18. 2017Minimal-Entropy Correlation Alignment for Unsupervised Deep Domain Adaptationcited by 71
  19. 2021MT3: Meta Test-Time Training for Self-Supervised Test-Time Adaptioncited by 65
  20. 2022How Does SimSiam Avoid Collapse Without Negative Samples? A Unified Understanding with Self-supervised Contrastive Learningcited by 65
  21. 2023Universal Test-time Adaptation through Weight Ensembling, Diversity Weighting, and Prior Correctioncited by 65
  22. 2025Test-Time Learning for Large Language Modelscited by 50
  23. 2024DPCore: Dynamic Prompt Coreset for Continual Test-Time Adaptationcited by 33
  24. 2024COME: Test-time adaption by Conservatively Minimizing Entropycited by 31
  25. 2024OT-VP: Optimal Transport-guided Visual Prompting for Test-Time Adaptationcited by 17
  26. 2025Ranked Entropy Minimization for Continual Test-Time Adaptationcited by 17
  27. 2025Beyond Entropy: Region Confidence Proxy for Wild Test-Time Adaptationcited by 11
  28. 2025Self-Training Large Language Models with Confident Reasoningcited by 8
  29. 2025Self-Bootstrapping for Versatile Test-Time Adaptationcited by 7

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 3.

3 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2025Asymmetric Proximal Policy Optimization: mini-critics boost LLM reasoning
  2. 2025EAGer: Entropy-Aware GEneRation for Adaptive Inference-Time Scaling
  3. 2025Adapt in the Wild: Test-Time Entropy Minimization with Sharpness and Feature Regularization
  4. 2025The Sequential Edge: Inverse-Entropy Voting Beats Parallel Self-Consistency at Matched Compute
  5. 2026Rethinking Entropy Minimization in Test-Time Adaptation for Autoregressive Models
  6. 2026Adaptive Test-Time Compute Allocation for Reasoning LLMs via Constrained Policy Optimization
  7. 2025The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoning
  8. 2026Depth-Entropy Guided Sampling for Training-Free LLM Reasoning