Sources

Sources & references

Every essay in this series is built from the primary literature. This page collects all 74 papers it draws on — once as a single master bibliography, and again grouped by the essay that cites them.

On attribution

Each work below is cited to its authors and linked to its canonical source — an arXiv page, a DOI, or the publishing venue's proceedings. The papers themselves remain the work and property of their respective authors; they are referenced here for scholarly commentary under normal academic citation. Where a paper is discussed by more than one essay it is listed once in the master bibliography and repeated in each relevant essay section, always with the same attribution. If you spot a citation that is wrong or incomplete, let me know at dattgoswami@gmail.com.

Master bibliography

74 unique works, ordered by first author.

  1. Abbas, Z., Zhao, R., Modayil, J., White, A., & Machado, M. C. (2023). Loss of plasticity in continual deep reinforcement learning. Conference on Lifelong Learning Agents (CoLLAs). arXiv:2303.07507
  2. Abel, D., Barreto, A., Van Roy, B., Schölkopf, B., Silver, D., & Singh, S. (2023). A definition of continual reinforcement learning. Advances in Neural Information Processing Systems (NeurIPS), 36. arXiv:2307.11046
  3. Aghajohari, M., Chitsaz, K., Kazemnejad, A., Chandar, S., Sordoni, A., Courville, A., & Reddy, S. (2025). The Markovian thinker: Architecture-agnostic linear scaling of reasoning. arXiv:2510.06557
  4. Beel, J., Kan, M.-Y., & Baumgart, M. (2025). Evaluating Sakana's AI Scientist for autonomous research: Wishful thinking or an emerging reality towards 'Artificial Research Intelligence' (ARI)?. arXiv:2502.14297
  5. Cetin, E., Zhao, T., & Tang, Y. (2025). Reinforcement learning teachers of test time scaling. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2506.08388
  6. Chandra, A., Agrawal, A., Hosseini, A., Fischmeister, S., Agarwal, R., Goyal, N., & Courville, A. (2025). Shape of thought: When distribution matters more than correctness in reasoning tasks. arXiv:2512.22255
  7. Chandrasekar, S., & Machado, M. C. (2025). Towards an option basis to optimize all rewards. Reinforcement Learning Journal / Reinforcement Learning Conference (RLC). openreview.net/forum?id=93kcaZhYgG
  8. Colelough, B. C., & Regli, W. (2024). Neuro-symbolic AI in 2024: A systematic review. arXiv:2501.05435
  9. Creus Castanyer, R., Obando-Ceron, J., Li, L., Bacon, P.-L., Berseth, G., Courville, A., & Castro, P. S. (2025). Stable gradients for stable learning at scale in deep reinforcement learning. arXiv:2506.15544
  10. Darlow, L., Regan, C., Risi, S., Seely, J., & Jones, L. (2025). Continuous thought machines. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2505.05522
  11. DeepSeek-AI (2025). DeepSeek-R1: Incentivizing reasoning capability in LLMs via reinforcement learning. arXiv:2501.12948
  12. Dohare, S., Hernandez-Garcia, J. F., Lan, Q., Rahman, P., Mahmood, A. R., & Sutton, R. S. (2024). Loss of plasticity in deep continual learning. Nature, 632, 768–774. doi:10.1038/s41586-024-07711-7
  13. Dohare, S., Hernandez-Garcia, J. F., Rahman, P., Sutton, R. S., & Mahmood, A. R. (2023). Maintaining plasticity in deep continual learning via regenerative regularization. ICML 2023 Workshop on Continual Lifelong Learning. arXiv:2306.13812
  14. Garcez, A. d'A., & Lamb, L. C. (2020). Neurosymbolic AI: The 3rd wave. arXiv:2012.05876
  15. Gu, S., Knoll, A., & Jin, M. (2024). TeaMs-RL: Teaching LLMs to generate better instruction datasets via reinforcement learning. Transactions on Machine Learning Research (TMLR). arXiv:2403.08694
  16. Guo, S., Darwiche Domingues, O., Avalos, R., Courville, A., & Strub, F. (2025). World modelling improves language model agents. arXiv:2506.02918
  17. György, A., Lattimore, T., Lazić, N., & Szepesvári, C. (2025). Beyond statistical learning: Exact learning is essential for general intelligence. arXiv:2506.23908
  18. Hafner, D., Pasukonis, J., Ba, J., & Lillicrap, T. (2023). Mastering diverse domains through world models (DreamerV3). arXiv:2301.04104
  19. Han, S., Pari, J., Gershman, S. J., & Agrawal, P. (2025). General intelligence requires reward-based pretraining. Proceedings of the 42nd International Conference on Machine Learning (ICML). arXiv:2502.19402
  20. Hansen, N., Wang, X., & Su, H. (2022). Temporal difference learning for model predictive control (TD-MPC). Proceedings of the 39th International Conference on Machine Learning (ICML), PMLR 162. arXiv:2203.04955
  21. Huang, Z., Xia, X., Ren, Y., Zheng, J., Xiao, X., Xie, H., Li, H., Liang, S., Dai, Z., Zhuang, F., Li, J., Ban, Y., & Wang, D. (2026). Real-time aligned reward model beyond semantics (R2M). arXiv:2601.22664
  22. Javed, K., & Sutton, R. S. (2024). The big world hypothesis and its ramifications for artificial intelligence. Finding the Frame Workshop, Reinforcement Learning Conference (RLC). openreview.net/forum?id=Sv7DazuCn8
  23. Jiang, L., Chai, Y., Li, M., Liu, M., Fok, R., Dziri, N., Tsvetkov, Y., Sap, M., Albalak, A., & Choi, Y. (2025). Artificial hivemind: The open-ended homogeneity of language models (and beyond). Advances in Neural Information Processing Systems (NeurIPS). arXiv:2510.22954
  24. Khetarpal, K., Riemer, M., Rish, I., & Precup, D. (2022). Towards continual reinforcement learning: A review and perspectives. Journal of Artificial Intelligence Research (JAIR), 75, 1401–1476. arXiv:2012.13490
  25. Kim, J., Lai, S., Scherrer, N., Agüera y Arcas, B., & Evans, J. (2026). Reasoning models generate societies of thought. arXiv:2601.10825
  26. Kim, J., Wu, D., Lee, J. D., & Suzuki, T. (2025). Metastable dynamics of chain-of-thought reasoning: Provable benefits of search, RL and distillation. arXiv:2502.01694
  27. Klissarov, M., Bagaria, A., Luo, Z., Konidaris, G., Precup, D., & Machado, M. C. (2025). Discovering temporal structure: An overview of hierarchical reinforcement learning. arXiv:2506.14045
  28. Koishekenov, Y., Lipani, A., & Cancedda, N. (2025). Encode, think, decode: Scaling test-time reasoning with recursive latent thoughts. arXiv:2510.07358
  29. Kotamreddy, H., & Machado, M. C. (2025). A study of value-aware eigenoptions. Workshop on Inductive Biases in RL, Reinforcement Learning Conference (RLC). arXiv:2507.09127
  30. Kumar, S., Jeon, H. J., Lewandowski, A., et al. (2024). The need for a big world simulator: A scientific challenge for continual learning. arXiv:2408.02930
  31. Kumar, S., Marklund, H., Rao, A., Zhu, Y., Jeon, H. J., Liu, Y., & Van Roy, B. (2023). Continual learning as computationally constrained reinforcement learning. Reinforcement Learning Journal. arXiv:2307.04345
  32. Lange, R. T., Imajuku, Y., & Cetin, E. (2025). ShinkaEvolve: Towards open-ended and sample-efficient program evolution. arXiv:2509.19349
  33. Lawsen, A. (2025). The illusion of the illusion of thinking: A comment on Shojaee et al. (2025). arXiv:2506.09250
  34. Lewandowski, A., et al. (2024). Plastic learning with deep Fourier features. arXiv:2410.20634
  35. Lewandowski, A., Limbacher, J., Precup, D., & Courville, A. (2024). Continual learning by spectral regularization. arXiv:2406.06811
  36. Lewandowski, A., Ramesh, A. A., Meyer, E., Schuurmans, D., & Machado, M. C. (2025). The world is bigger: A computationally-embedded perspective on the big world hypothesis. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2512.23419
  37. Li, C., Elmahdy, A., Boyd, A., Wang, Z., Zeng, S., Garcia, A., Bhatia, P., Kass-Hout, T., Xiao, C., & Hong, M. (2025). Stabilizing off-policy training for long-horizon LLM agents via turn-level importance sampling and clipping-triggered normalization (SORL). arXiv:2511.20718
  38. Lin, Z., Nikishin, E., He, X. O., & Courville, A. (2025). Forgetting Transformer: Softmax attention with a forget gate. International Conference on Learning Representations (ICLR). arXiv:2503.02130
  39. Lin, Z., Obando-Ceron, J., He, X. O., & Courville, A. (2025). Adaptive computation pruning for the Forgetting Transformer. Conference on Language Modeling (COLM). arXiv:2504.06949
  40. Liu, B., Guertler, L., Yu, S., Liu, Z., Qi, P., Balcells, D., Liu, M., Tan, C., Shi, W., Lin, M., Lee, W. S., & Jaques, N. (2025). SPIRAL: Self-play on zero-sum games incentivizes reasoning via multi-agent multi-turn reinforcement learning. arXiv:2506.24119
  41. Liu, J., Obando-Ceron, J., Lu, H., He, Y., Wang, W., Su, W., Zheng, B., Castro, P. S., Courville, A., & Pan, L. (2025). Asymmetric proximal policy optimization: Mini-critics boost LLM reasoning. arXiv:2510.01656
  42. Liu, J., Wu, Z., Obando-Ceron, J., Castro, P. S., Courville, A., & Pan, L. (2025). Measure gradients, not activations! Enhancing neuronal activity in deep reinforcement learning. arXiv:2505.24061
  43. Liu, M., Diao, S., Lu, X., Hu, J., Dong, X., Choi, Y., Kautz, J., & Dong, Y. (2025). ProRL: Prolonged reinforcement learning expands reasoning boundaries in large language models. arXiv:2505.24864
  44. Mayor, W., Obando-Ceron, J., Courville, A., & Castro, P. S. (2025). The impact of on-policy parallelized data collection on deep reinforcement learning networks. arXiv:2506.03404
  45. Micheli, V., Alonso, E., & Fleuret, F. (2023). Transformers are sample-efficient world models (IRIS). International Conference on Learning Representations (ICLR). arXiv:2209.00588
  46. MiniMax (2025). MiniMax-M1: Scaling test-time compute efficiently with lightning attention. arXiv:2506.13585
  47. Nekoei, H., Badrinaaraayanan, A., Courville, A., & Chandar, S. (2021). Continuous coordination as a realistic scenario for lifelong learning. Proceedings of the International Conference on Machine Learning (ICML), 139, 8016–8024. arXiv:2103.03216
  48. Pan, M., Zhang, W., Chen, G., Zhu, X., Gao, S., Wang, Y., & Yang, X. (2023). Continual visual reinforcement learning with a life-long world model. arXiv:2303.06572
  49. Qiu, Z., Wang, Z., Zheng, B., Huang, Z., Wen, K., Yang, S., Men, R., Yu, L., Huang, F., Huang, S., Liu, D., Zhou, J., & Lin, J. (2025). Gated attention for large language models: Non-linearity, sparsity, and attention-sink-free. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2505.06708
  50. Saheb, A., Obando-Ceron, J., Courville, A., Bashivan, P., & Castro, P. S. (2026). Stable deep reinforcement learning via isotropic Gaussian representations. arXiv:2602.19373
  51. Schaul, T., Barreto, A., Quan, J., & Ostrovski, G. (2022). The phenomenon of policy churn. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2206.00730
  52. Schlegel, M., Jacobsen, A., Abbas, Z., Patterson, A., White, A., & White, M. (2021). General value function networks. Journal of Artificial Intelligence Research (JAIR), 70, 497–543. arXiv:1807.06763
  53. Shah, V., Obando-Ceron, J., Jain, V., Bartoldson, B., Kailkhura, B., Mittal, S., Berseth, G., Castro, P. S., Bengio, Y., Malkin, N., Jain, M., & Venkatraman, S. (2025). A comedy of estimators: On KL regularization in RL training of LLMs. arXiv:2512.21852
  54. Shalev-Shwartz, S., & Shashua, A. (2025). From reasoning to super-intelligence: A search-theoretic perspective. arXiv:2507.15865
  55. Simonds, T., & Yoshiyama, A. (2025). LADDER: Self-improving LLMs through recursive problem decomposition. arXiv:2503.00735
  56. Sokar, G., Agarwal, R., Castro, P. S., & Evci, U. (2023). The dormant neuron phenomenon in deep reinforcement learning. Proceedings of the International Conference on Machine Learning (ICML). arXiv:2302.12902
  57. Stojanovski, Z., Stanley, O., Sharratt, J., Jones, R., Adefioye, A., Kaddour, J., & Köpf, A. (2025). Reasoning Gym: Reasoning environments for reinforcement learning with verifiable rewards. arXiv:2505.24760
  58. Sun, Q., Cetin, E., & Tang, Y. (2025). Transformer²: Self-adaptive LLMs. International Conference on Learning Representations (ICLR). arXiv:2501.06252
  59. Sun, Y., Cao, Y., Huang, P., Bai, H., Hajishirzi, H., Dziri, N., & Song, D. (2025). RL grokking recipe: How does RL unlock and transfer new algorithms in LLMs?. arXiv:2509.21016
  60. Sutton, R. S., Modayil, J., Delp, M., Degris, T., Pilarski, P. M., White, A., & Precup, D. (2011). Horde: A scalable real-time architecture for learning knowledge from unsupervised sensorimotor interaction. Proceedings of the 10th International Conference on Autonomous Agents and Multiagent Systems (AAMAS). dl.acm.org/doi/10.5555/2031678.2031726
  61. Tang, H., & Berseth, G. (2024). Improving deep reinforcement learning by reducing the chain effect of value and policy churn (CHAIN). Advances in Neural Information Processing Systems (NeurIPS). arXiv:2409.04792
  62. Tang, H., Obando-Ceron, J., Castro, P. S., Courville, A., & Berseth, G. (2025). Mitigating plasticity loss in continual reinforcement learning by reducing churn. Proceedings of the 42nd International Conference on Machine Learning (ICML). arXiv:2506.00592
  63. Tang, Y., Obando-Ceron, J. S., et al. (2025). AgarCL: The cell must go on — a benchmark for continual reinforcement learning. arXiv:2505.18347
  64. Tur, Y., Naghiyev, J., Fang, H., Tsai, W.-C., Duan, J., Fox, D., & Krishna, R. (2026). Recurrent-Depth VLA: Implicit test-time compute scaling of vision–language–action models via latent iterative reasoning. arXiv:2602.07845
  65. Verwimp, E., Aljundi, R., Ben-David, S., Bethge, M., Cossu, A., Gepperth, A., Hayes, T. L., et al. (2023). Continual learning: Applications and the road forward. Transactions on Machine Learning Research (TMLR). arXiv:2311.11908
  66. Wang, K., Javali, I., Bortkiewicz, M., Trzciński, T., & Eysenbach, B. (2025). 1000 layer networks for self-supervised RL: Scaling depth can enable new goal-reaching capabilities. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2503.14858
  67. Wołczyk, M., Zając, M., Pascanu, R., Kuciński, Ł., & Miłoś, P. (2021). Continual World: A robotic benchmark for continual reinforcement learning. Advances in Neural Information Processing Systems (NeurIPS), 34, 28496–28510. arXiv:2105.10919
  68. Wu, F., Xuan, W., Lu, X., Liu, M., Dong, Y., Harchaoui, Z., & Choi, Y. (2025). The invisible leash? Why RLVR may or may not escape its origin. arXiv:2507.14843
  69. Yeo, E., Tong, Y., Niu, M., Neubig, G., & Yue, X. (2025). Demystifying long chain-of-thought reasoning in LLMs. Proceedings of the International Conference on Machine Learning (ICML). arXiv:2502.03373
  70. Yu, T., Quillen, D., He, Z., Julian, R., Hausman, K., Finn, C., & Levine, S. (2020). Meta-World: A benchmark and evaluation for multi-task and meta reinforcement learning. Conference on Robot Learning (CoRL). arXiv:1910.10897
  71. Yuan, L., Chen, W., Zhang, Y., Cui, G., Wang, H., You, Z., Ding, N., Liu, Z., Sun, M., & Peng, H. (2025). From f(x) and g(x) to f(g(x)): LLMs learn new skills in RL by composing old ones. arXiv:2509.25123
  72. Yue, Y., Chen, Z., Lu, R., Zhao, A., Wang, Z., Song, S., & Huang, G. (2025). Does reinforcement learning really incentivize reasoning capacity in LLMs beyond the base model?. arXiv:2504.13837
  73. Zhang, C., Neubig, G., & Yue, X. (2025). On the interplay of pre-training, mid-training, and RL on reasoning language models. arXiv:2512.07783
  74. Zhang, J., Hu, S., Lu, C., Lange, R., & Clune, J. (2025). Darwin Gödel Machine: Open-ended evolution of self-improving agents. arXiv:2505.22954

References by essay

The papers behind each of the twelve essays, in the order they are cited.

01 The Benchmark Gap in Continual RL: From Continual World to SPIRAL

  1. Abel, D., Barreto, A., Van Roy, B., Schölkopf, B., Silver, D., & Singh, S. (2023). A definition of continual reinforcement learning. Advances in Neural Information Processing Systems (NeurIPS), 36. arXiv:2307.11046
  2. Khetarpal, K., Riemer, M., Rish, I., & Precup, D. (2022). Towards continual reinforcement learning: A review and perspectives. Journal of Artificial Intelligence Research (JAIR), 75, 1401–1476. arXiv:2012.13490
  3. Wołczyk, M., Zając, M., Pascanu, R., Kuciński, Ł., & Miłoś, P. (2021). Continual World: A robotic benchmark for continual reinforcement learning. Advances in Neural Information Processing Systems (NeurIPS), 34, 28496–28510. arXiv:2105.10919
  4. Nekoei, H., Badrinaaraayanan, A., Courville, A., & Chandar, S. (2021). Continuous coordination as a realistic scenario for lifelong learning. Proceedings of the International Conference on Machine Learning (ICML), 139, 8016–8024. arXiv:2103.03216
  5. Tang, Y., Obando-Ceron, J. S., et al. (2025). AgarCL: The cell must go on — a benchmark for continual reinforcement learning. arXiv:2505.18347
  6. Liu, B., Guertler, L., Yu, S., Liu, Z., Qi, P., Balcells, D., Liu, M., Tan, C., Shi, W., Lin, M., Lee, W. S., & Jaques, N. (2025). SPIRAL: Self-play on zero-sum games incentivizes reasoning via multi-agent multi-turn reinforcement learning. arXiv:2506.24119
  7. Kumar, S., Marklund, H., Rao, A., Zhu, Y., Jeon, H. J., Liu, Y., & Van Roy, B. (2023). Continual learning as computationally constrained reinforcement learning. Reinforcement Learning Journal. arXiv:2307.04345
  8. Yu, T., Quillen, D., He, Z., Julian, R., Hausman, K., Finn, C., & Levine, S. (2020). Meta-World: A benchmark and evaluation for multi-task and meta reinforcement learning. Conference on Robot Learning (CoRL). arXiv:1910.10897

02 The Plasticity Crisis in Continual Deep Learning

  1. Dohare, S., Hernandez-Garcia, J. F., Lan, Q., Rahman, P., Mahmood, A. R., & Sutton, R. S. (2024). Loss of plasticity in deep continual learning. Nature, 632, 768–774. doi:10.1038/s41586-024-07711-7
  2. Dohare, S., Hernandez-Garcia, J. F., Rahman, P., Sutton, R. S., & Mahmood, A. R. (2023). Maintaining plasticity in deep continual learning via regenerative regularization. ICML 2023 Workshop on Continual Lifelong Learning. arXiv:2306.13812
  3. Abbas, Z., Zhao, R., Modayil, J., White, A., & Machado, M. C. (2023). Loss of plasticity in continual deep reinforcement learning. Conference on Lifelong Learning Agents (CoLLAs). arXiv:2303.07507
  4. Lewandowski, A., Limbacher, J., Precup, D., & Courville, A. (2024). Continual learning by spectral regularization. arXiv:2406.06811
  5. Lewandowski, A., et al. (2024). Plastic learning with deep Fourier features. arXiv:2410.20634
  6. Tang, H., Obando-Ceron, J., Castro, P. S., Courville, A., & Berseth, G. (2025). Mitigating plasticity loss in continual reinforcement learning by reducing churn. Proceedings of the 42nd International Conference on Machine Learning (ICML). arXiv:2506.00592
  7. Liu, J., Wu, Z., Obando-Ceron, J., Castro, P. S., Courville, A., & Pan, L. (2025). Measure gradients, not activations! Enhancing neuronal activity in deep reinforcement learning. arXiv:2505.24061
  8. Sokar, G., Agarwal, R., Castro, P. S., & Evci, U. (2023). The dormant neuron phenomenon in deep reinforcement learning. Proceedings of the International Conference on Machine Learning (ICML). arXiv:2302.12902
  9. Sun, Q., Cetin, E., & Tang, Y. (2025). Transformer²: Self-adaptive LLMs. International Conference on Learning Representations (ICLR). arXiv:2501.06252
  10. Khetarpal, K., Riemer, M., Rish, I., & Precup, D. (2022). Towards continual reinforcement learning: A review and perspectives. Journal of Artificial Intelligence Research (JAIR), 75, 1401–1476. arXiv:2012.13490

03 The Big World Hypothesis: Why Continual Learning Is Inevitable

  1. Javed, K., & Sutton, R. S. (2024). The big world hypothesis and its ramifications for artificial intelligence. Finding the Frame Workshop, Reinforcement Learning Conference (RLC). openreview.net/forum?id=Sv7DazuCn8
  2. Lewandowski, A., Ramesh, A. A., Meyer, E., Schuurmans, D., & Machado, M. C. (2025). The world is bigger: A computationally-embedded perspective on the big world hypothesis. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2512.23419
  3. Kumar, S., Jeon, H. J., Lewandowski, A., et al. (2024). The need for a big world simulator: A scientific challenge for continual learning. arXiv:2408.02930
  4. Kumar, S., Marklund, H., Rao, A., Zhu, Y., Jeon, H. J., Liu, Y., & Van Roy, B. (2023). Continual learning as computationally constrained reinforcement learning. Reinforcement Learning Journal. arXiv:2307.04345
  5. Hafner, D., Pasukonis, J., Ba, J., & Lillicrap, T. (2023). Mastering diverse domains through world models (DreamerV3). arXiv:2301.04104
  6. Micheli, V., Alonso, E., & Fleuret, F. (2023). Transformers are sample-efficient world models (IRIS). International Conference on Learning Representations (ICLR). arXiv:2209.00588
  7. Hansen, N., Wang, X., & Su, H. (2022). Temporal difference learning for model predictive control (TD-MPC). Proceedings of the 39th International Conference on Machine Learning (ICML), PMLR 162. arXiv:2203.04955
  8. Liu, B., Guertler, L., Yu, S., Liu, Z., Qi, P., Balcells, D., Liu, M., Tan, C., Shi, W., Lin, M., Lee, W. S., & Jaques, N. (2025). SPIRAL: Self-play on zero-sum games incentivizes reasoning via multi-agent multi-turn reinforcement learning. arXiv:2506.24119
  9. Verwimp, E., Aljundi, R., Ben-David, S., Bethge, M., Cossu, A., Gepperth, A., Hayes, T. L., et al. (2023). Continual learning: Applications and the road forward. Transactions on Machine Learning Research (TMLR). arXiv:2311.11908
  10. Guo, S., Darwiche Domingues, O., Avalos, R., Courville, A., & Strub, F. (2025). World modelling improves language model agents. arXiv:2506.02918

04 GVFs as Proto-World-Models: The Alberta Plan Vindicated?

  1. Sutton, R. S., Modayil, J., Delp, M., Degris, T., Pilarski, P. M., White, A., & Precup, D. (2011). Horde: A scalable real-time architecture for learning knowledge from unsupervised sensorimotor interaction. Proceedings of the 10th International Conference on Autonomous Agents and Multiagent Systems (AAMAS). dl.acm.org/doi/10.5555/2031678.2031726
  2. Schlegel, M., Jacobsen, A., Abbas, Z., Patterson, A., White, A., & White, M. (2021). General value function networks. Journal of Artificial Intelligence Research (JAIR), 70, 497–543. arXiv:1807.06763
  3. Chandrasekar, S., & Machado, M. C. (2025). Towards an option basis to optimize all rewards. Reinforcement Learning Journal / Reinforcement Learning Conference (RLC). openreview.net/forum?id=93kcaZhYgG
  4. Kotamreddy, H., & Machado, M. C. (2025). A study of value-aware eigenoptions. Workshop on Inductive Biases in RL, Reinforcement Learning Conference (RLC). arXiv:2507.09127
  5. Pan, M., Zhang, W., Chen, G., Zhu, X., Gao, S., Wang, Y., & Yang, X. (2023). Continual visual reinforcement learning with a life-long world model. arXiv:2303.06572
  6. Hafner, D., Pasukonis, J., Ba, J., & Lillicrap, T. (2023). Mastering diverse domains through world models (DreamerV3). arXiv:2301.04104
  7. Micheli, V., Alonso, E., & Fleuret, F. (2023). Transformers are sample-efficient world models (IRIS). International Conference on Learning Representations (ICLR). arXiv:2209.00588
  8. Hansen, N., Wang, X., & Su, H. (2022). Temporal difference learning for model predictive control (TD-MPC). Proceedings of the 39th International Conference on Machine Learning (ICML), PMLR 162. arXiv:2203.04955
  9. Khetarpal, K., Riemer, M., Rish, I., & Precup, D. (2022). Towards continual reinforcement learning: A review and perspectives. Journal of Artificial Intelligence Research (JAIR), 75, 1401–1476. arXiv:2012.13490
  10. Klissarov, M., Bagaria, A., Luo, Z., Konidaris, G., Precup, D., & Machado, M. C. (2025). Discovering temporal structure: An overview of hierarchical reinforcement learning. arXiv:2506.14045

05 The Forgetting Transformer: When Architecture Solves Plasticity

  1. Dohare, S., Hernandez-Garcia, J. F., Lan, Q., Rahman, P., Mahmood, A. R., & Sutton, R. S. (2024). Loss of plasticity in deep continual learning. Nature, 632, 768–774. doi:10.1038/s41586-024-07711-7
  2. Lin, Z., Nikishin, E., He, X. O., & Courville, A. (2025). Forgetting Transformer: Softmax attention with a forget gate. International Conference on Learning Representations (ICLR). arXiv:2503.02130
  3. Lin, Z., Obando-Ceron, J., He, X. O., & Courville, A. (2025). Adaptive computation pruning for the Forgetting Transformer. Conference on Language Modeling (COLM). arXiv:2504.06949
  4. Liu, J., Wu, Z., Obando-Ceron, J., Castro, P. S., Courville, A., & Pan, L. (2025). Measure gradients, not activations! Enhancing neuronal activity in deep reinforcement learning. arXiv:2505.24061
  5. Tang, H., Obando-Ceron, J., Castro, P. S., Courville, A., & Berseth, G. (2025). Mitigating plasticity loss in continual reinforcement learning by reducing churn. Proceedings of the 42nd International Conference on Machine Learning (ICML). arXiv:2506.00592
  6. Wang, K., Javali, I., Bortkiewicz, M., Trzciński, T., & Eysenbach, B. (2025). 1000 layer networks for self-supervised RL: Scaling depth can enable new goal-reaching capabilities. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2503.14858
  7. Sun, Q., Cetin, E., & Tang, Y. (2025). Transformer²: Self-adaptive LLMs. International Conference on Learning Representations (ICLR). arXiv:2501.06252

06 Does RL Teach LLMs to Reason, or Just Refine Them?

  1. Han, S., Pari, J., Gershman, S. J., & Agrawal, P. (2025). General intelligence requires reward-based pretraining. Proceedings of the 42nd International Conference on Machine Learning (ICML). arXiv:2502.19402
  2. Wu, F., Xuan, W., Lu, X., Liu, M., Dong, Y., Harchaoui, Z., & Choi, Y. (2025). The invisible leash? Why RLVR may or may not escape its origin. arXiv:2507.14843
  3. Kim, J., Wu, D., Lee, J. D., & Suzuki, T. (2025). Metastable dynamics of chain-of-thought reasoning: Provable benefits of search, RL and distillation. arXiv:2502.01694
  4. Zhang, C., Neubig, G., & Yue, X. (2025). On the interplay of pre-training, mid-training, and RL on reasoning language models. arXiv:2512.07783
  5. Yue, Y., Chen, Z., Lu, R., Zhao, A., Wang, Z., Song, S., & Huang, G. (2025). Does reinforcement learning really incentivize reasoning capacity in LLMs beyond the base model?. arXiv:2504.13837
  6. Yeo, E., Tong, Y., Niu, M., Neubig, G., & Yue, X. (2025). Demystifying long chain-of-thought reasoning in LLMs. Proceedings of the International Conference on Machine Learning (ICML). arXiv:2502.03373
  7. Liu, M., Diao, S., Lu, X., Hu, J., Dong, X., Choi, Y., Kautz, J., & Dong, Y. (2025). ProRL: Prolonged reinforcement learning expands reasoning boundaries in large language models. arXiv:2505.24864
  8. Sun, Y., Cao, Y., Huang, P., Bai, H., Hajishirzi, H., Dziri, N., & Song, D. (2025). RL grokking recipe: How does RL unlock and transfer new algorithms in LLMs?. arXiv:2509.21016
  9. Yuan, L., Chen, W., Zhang, Y., Cui, G., Wang, H., You, Z., Ding, N., Liu, Z., Sun, M., & Peng, H. (2025). From f(x) and g(x) to f(g(x)): LLMs learn new skills in RL by composing old ones. arXiv:2509.25123
  10. Lawsen, A. (2025). The illusion of the illusion of thinking: A comment on Shojaee et al. (2025). arXiv:2506.09250
  11. Jiang, L., Chai, Y., Li, M., Liu, M., Fok, R., Dziri, N., Tsvetkov, Y., Sap, M., Albalak, A., & Choi, Y. (2025). Artificial hivemind: The open-ended homogeneity of language models (and beyond). Advances in Neural Information Processing Systems (NeurIPS). arXiv:2510.22954

07 Shape of Thought: Why Reasoning Format Matters More Than Correctness

  1. Cetin, E., Zhao, T., & Tang, Y. (2025). Reinforcement learning teachers of test time scaling. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2506.08388
  2. Chandra, A., Agrawal, A., Hosseini, A., Fischmeister, S., Agarwal, R., Goyal, N., & Courville, A. (2025). Shape of thought: When distribution matters more than correctness in reasoning tasks. arXiv:2512.22255
  3. Darlow, L., Regan, C., Risi, S., Seely, J., & Jones, L. (2025). Continuous thought machines. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2505.05522
  4. Kim, J., Wu, D., Lee, J. D., & Suzuki, T. (2025). Metastable dynamics of chain-of-thought reasoning: Provable benefits of search, RL and distillation. arXiv:2502.01694
  5. Lawsen, A. (2025). The illusion of the illusion of thinking: A comment on Shojaee et al. (2025). arXiv:2506.09250
  6. Qiu, Z., Wang, Z., Zheng, B., Huang, Z., Wen, K., Yang, S., Men, R., Yu, L., Huang, F., Huang, S., Liu, D., Zhou, J., & Lin, J. (2025). Gated attention for large language models: Non-linearity, sparsity, and attention-sink-free. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2505.06708
  7. Yue, Y., Chen, Z., Lu, R., Zhao, A., Wang, Z., Song, S., & Huang, G. (2025). Does reinforcement learning really incentivize reasoning capacity in LLMs beyond the base model?. arXiv:2504.13837
  8. Zhang, C., Neubig, G., & Yue, X. (2025). On the interplay of pre-training, mid-training, and RL on reasoning language models. arXiv:2512.07783

08 Stable Deep RL at Scale: Gradients, KL, and the Shape of Learning

  1. Shah, V., Obando-Ceron, J., Jain, V., Bartoldson, B., Kailkhura, B., Mittal, S., Berseth, G., Castro, P. S., Bengio, Y., Malkin, N., Jain, M., & Venkatraman, S. (2025). A comedy of estimators: On KL regularization in RL training of LLMs. arXiv:2512.21852
  2. Creus Castanyer, R., Obando-Ceron, J., Li, L., Bacon, P.-L., Berseth, G., Courville, A., & Castro, P. S. (2025). Stable gradients for stable learning at scale in deep reinforcement learning. arXiv:2506.15544
  3. Saheb, A., Obando-Ceron, J., Courville, A., Bashivan, P., & Castro, P. S. (2026). Stable deep reinforcement learning via isotropic Gaussian representations. arXiv:2602.19373
  4. Liu, J., Obando-Ceron, J., Lu, H., He, Y., Wang, W., Su, W., Zheng, B., Castro, P. S., Courville, A., & Pan, L. (2025). Asymmetric proximal policy optimization: Mini-critics boost LLM reasoning. arXiv:2510.01656
  5. Aghajohari, M., Chitsaz, K., Kazemnejad, A., Chandar, S., Sordoni, A., Courville, A., & Reddy, S. (2025). The Markovian thinker: Architecture-agnostic linear scaling of reasoning. arXiv:2510.06557
  6. Mayor, W., Obando-Ceron, J., Courville, A., & Castro, P. S. (2025). The impact of on-policy parallelized data collection on deep reinforcement learning networks. arXiv:2506.03404
  7. Chandra, A., Agrawal, A., Hosseini, A., Fischmeister, S., Agarwal, R., Goyal, N., & Courville, A. (2025). Shape of thought: When distribution matters more than correctness in reasoning tasks. arXiv:2512.22255
  8. Schaul, T., Barreto, A., Quan, J., & Ostrovski, G. (2022). The phenomenon of policy churn. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2206.00730
  9. Tang, H., & Berseth, G. (2024). Improving deep reinforcement learning by reducing the chain effect of value and policy churn (CHAIN). Advances in Neural Information Processing Systems (NeurIPS). arXiv:2409.04792
  10. Li, C., Elmahdy, A., Boyd, A., Wang, Z., Zeng, S., Garcia, A., Bhatia, P., Kass-Hout, T., Xiao, C., & Hong, M. (2025). Stabilizing off-policy training for long-horizon LLM agents via turn-level importance sampling and clipping-triggered normalization (SORL). arXiv:2511.20718
  11. Huang, Z., Xia, X., Ren, Y., Zheng, J., Xiao, X., Xie, H., Li, H., Liang, S., Dai, Z., Zhuang, F., Li, J., Ban, Y., & Wang, D. (2026). Real-time aligned reward model beyond semantics (R2M). arXiv:2601.22664

09 Reasoning at Scale: What DeepSeek-R1, ProRL, and Prolonged RL Reveal

  1. DeepSeek-AI (2025). DeepSeek-R1: Incentivizing reasoning capability in LLMs via reinforcement learning. arXiv:2501.12948
  2. Liu, M., Diao, S., Lu, X., Hu, J., Dong, X., Choi, Y., Kautz, J., & Dong, Y. (2025). ProRL: Prolonged reinforcement learning expands reasoning boundaries in large language models. arXiv:2505.24864
  3. MiniMax (2025). MiniMax-M1: Scaling test-time compute efficiently with lightning attention. arXiv:2506.13585
  4. Sun, Y., Cao, Y., Huang, P., Bai, H., Hajishirzi, H., Dziri, N., & Song, D. (2025). RL grokking recipe: How does RL unlock and transfer new algorithms in LLMs?. arXiv:2509.21016
  5. Yuan, L., Chen, W., Zhang, Y., Cui, G., Wang, H., You, Z., Ding, N., Liu, Z., Sun, M., & Peng, H. (2025). From f(x) and g(x) to f(g(x)): LLMs learn new skills in RL by composing old ones. arXiv:2509.25123
  6. Jiang, L., Chai, Y., Li, M., Liu, M., Fok, R., Dziri, N., Tsvetkov, Y., Sap, M., Albalak, A., & Choi, Y. (2025). Artificial hivemind: The open-ended homogeneity of language models (and beyond). Advances in Neural Information Processing Systems (NeurIPS). arXiv:2510.22954
  7. Stojanovski, Z., Stanley, O., Sharratt, J., Jones, R., Adefioye, A., Kaddour, J., & Köpf, A. (2025). Reasoning Gym: Reasoning environments for reinforcement learning with verifiable rewards. arXiv:2505.24760
  8. Kim, J., Lai, S., Scherrer, N., Agüera y Arcas, B., & Evans, J. (2026). Reasoning models generate societies of thought. arXiv:2601.10825
  9. Zhang, C., Neubig, G., & Yue, X. (2025). On the interplay of pre-training, mid-training, and RL on reasoning language models. arXiv:2512.07783
  10. Yeo, E., Tong, Y., Niu, M., Neubig, G., & Yue, X. (2025). Demystifying long chain-of-thought reasoning in LLMs. Proceedings of the International Conference on Machine Learning (ICML). arXiv:2502.03373

10 Darwin-Gödel to ShinkaEvolve: The Case for Open-Ended AI

  1. Beel, J., Kan, M.-Y., & Baumgart, M. (2025). Evaluating Sakana's AI Scientist for autonomous research: Wishful thinking or an emerging reality towards 'Artificial Research Intelligence' (ARI)?. arXiv:2502.14297
  2. Colelough, B. C., & Regli, W. (2024). Neuro-symbolic AI in 2024: A systematic review. arXiv:2501.05435
  3. Garcez, A. d'A., & Lamb, L. C. (2020). Neurosymbolic AI: The 3rd wave. arXiv:2012.05876
  4. György, A., Lattimore, T., Lazić, N., & Szepesvári, C. (2025). Beyond statistical learning: Exact learning is essential for general intelligence. arXiv:2506.23908
  5. Han, S., Pari, J., Gershman, S. J., & Agrawal, P. (2025). General intelligence requires reward-based pretraining. Proceedings of the 42nd International Conference on Machine Learning (ICML). arXiv:2502.19402
  6. Koishekenov, Y., Lipani, A., & Cancedda, N. (2025). Encode, think, decode: Scaling test-time reasoning with recursive latent thoughts. arXiv:2510.07358
  7. Lange, R. T., Imajuku, Y., & Cetin, E. (2025). ShinkaEvolve: Towards open-ended and sample-efficient program evolution. arXiv:2509.19349
  8. Shalev-Shwartz, S., & Shashua, A. (2025). From reasoning to super-intelligence: A search-theoretic perspective. arXiv:2507.15865
  9. Zhang, J., Hu, S., Lu, C., Lange, R., & Clune, J. (2025). Darwin Gödel Machine: Open-ended evolution of self-improving agents. arXiv:2505.22954

11 Thinking Without Tokens: CTM and Inference-Time Compute Beyond CoT

  1. Darlow, L., Regan, C., Risi, S., Seely, J., & Jones, L. (2025). Continuous thought machines. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2505.05522
  2. Koishekenov, Y., Lipani, A., & Cancedda, N. (2025). Encode, think, decode: Scaling test-time reasoning with recursive latent thoughts. arXiv:2510.07358
  3. Simonds, T., & Yoshiyama, A. (2025). LADDER: Self-improving LLMs through recursive problem decomposition. arXiv:2503.00735
  4. Tur, Y., Naghiyev, J., Fang, H., Tsai, W.-C., Duan, J., Fox, D., & Krishna, R. (2026). Recurrent-Depth VLA: Implicit test-time compute scaling of vision–language–action models via latent iterative reasoning. arXiv:2602.07845

12 RL as Educator: Training Teachers, Not Just Students

  1. Cetin, E., Zhao, T., & Tang, Y. (2025). Reinforcement learning teachers of test time scaling. Advances in Neural Information Processing Systems (NeurIPS). arXiv:2506.08388
  2. Gu, S., Knoll, A., & Jin, M. (2024). TeaMs-RL: Teaching LLMs to generate better instruction datasets via reinforcement learning. Transactions on Machine Learning Research (TMLR). arXiv:2403.08694
  3. Simonds, T., & Yoshiyama, A. (2025). LADDER: Self-improving LLMs through recursive problem decomposition. arXiv:2503.00735
  4. Huang, Z., Xia, X., Ren, Y., Zheng, J., Xiao, X., Xie, H., Li, H., Liang, S., Dai, Z., Zhuang, F., Li, J., Ban, Y., & Wang, D. (2026). Real-time aligned reward model beyond semantics (R2M). arXiv:2601.22664