Reasoning by Superposition: A Theoretical Perspective on Chain of Continuous Thought
Fuente:
arXiv
Saved in:
| Main Authors: | Zhu, Hanlin, Hao, Shibo, Hu, Zhiting, Jiao, Jiantao, Russell, Stuart, Tian, Yuandong |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Emergence of Superposition: Unveiling the Training Dynamics of Chain of Continuous Thought
by: Zhu, Hanlin, et al.
Published: (2025)
by: Zhu, Hanlin, et al.
Published: (2025)
Towards a Theoretical Understanding of the 'Reversal Curse' via Training Dynamics
by: Zhu, Hanlin, et al.
Published: (2024)
by: Zhu, Hanlin, et al.
Published: (2024)
Transformers Provably Learn to Internalize Chain-of-Thought
by: Huang, Yixiao, et al.
Published: (2026)
by: Huang, Yixiao, et al.
Published: (2026)
Token Assorted: Mixing Latent and Text Tokens for Improved Language Model Reasoning
by: Su, DiJia, et al.
Published: (2025)
by: Su, DiJia, et al.
Published: (2025)
GSM-Agent: Understanding Agentic Reasoning Using Controllable Environments
by: Zhu, Hanlin, et al.
Published: (2025)
by: Zhu, Hanlin, et al.
Published: (2025)
Generalization or Hallucination? Understanding Out-of-Context Reasoning in Transformers
by: Huang, Yixiao, et al.
Published: (2025)
by: Huang, Yixiao, et al.
Published: (2025)
Efficient Prompt Caching via Embedding Similarity
by: Zhu, Hanlin, et al.
Published: (2024)
by: Zhu, Hanlin, et al.
Published: (2024)
On Representation Complexity of Model-based and Model-free Reinforcement Learning
by: Zhu, Hanlin, et al.
Published: (2023)
by: Zhu, Hanlin, et al.
Published: (2023)
On the Cost and Benefit of Chain of Thought: A Learning-Theoretic Perspective
by: Zhang, Yue, et al.
Published: (2026)
by: Zhang, Yue, et al.
Published: (2026)
ToolkenGPT: Augmenting Frozen Language Models with Massive Tools via Tool Embeddings
by: Hao, Shibo, et al.
Published: (2023)
by: Hao, Shibo, et al.
Published: (2023)
Avoiding Catastrophe in Online Learning by Asking for Help
by: Plaut, Benjamin, et al.
Published: (2024)
by: Plaut, Benjamin, et al.
Published: (2024)
Continuous Chain of Thought Enables Parallel Exploration and Reasoning
by: Gozeten, Halil Alperen, et al.
Published: (2025)
by: Gozeten, Halil Alperen, et al.
Published: (2025)
Deep Thinking by Markov Chain of Continuous Thoughts
by: Liu, Jiayu, et al.
Published: (2025)
by: Liu, Jiayu, et al.
Published: (2025)
Composing Global Solutions to Reasoning Tasks via Algebraic Objects in Neural Nets
by: Tian, Yuandong
Published: (2024)
by: Tian, Yuandong
Published: (2024)
A Theoretical Understanding of Chain-of-Thought: Coherent Reasoning and Error-Aware Demonstration
by: Cui, Yingqian, et al.
Published: (2024)
by: Cui, Yingqian, et al.
Published: (2024)
Safe Learning Under Irreversible Dynamics via Asking for Help
by: Plaut, Benjamin, et al.
Published: (2025)
by: Plaut, Benjamin, et al.
Published: (2025)
Bridging Formal Language with Chain-of-Thought Reasoning to Geometry Problem Solving
by: Yang, Tianyun, et al.
Published: (2025)
by: Yang, Tianyun, et al.
Published: (2025)
Provable Scaling Laws of Feature Emergence from Learning Dynamics of Grokking
by: Tian, Yuandong
Published: (2025)
by: Tian, Yuandong
Published: (2025)
LLM Pretraining with Continuous Concepts
by: Tack, Jihoon, et al.
Published: (2025)
by: Tack, Jihoon, et al.
Published: (2025)
Towards Efficient Large Language Reasoning Models via Extreme-Ratio Chain-of-Thought Compression
by: Tang, Yuntian, et al.
Published: (2026)
by: Tang, Yuntian, et al.
Published: (2026)
Training Large Language Models to Reason in a Continuous Latent Space
by: Hao, Shibo, et al.
Published: (2024)
by: Hao, Shibo, et al.
Published: (2024)
On Learning Verifiers and Implications to Chain-of-Thought Reasoning
by: Balcan, Maria-Florina, et al.
Published: (2025)
by: Balcan, Maria-Florina, et al.
Published: (2025)
CTRLS: Chain-of-Thought Reasoning via Latent State-Transition
by: Wu, Junda, et al.
Published: (2025)
by: Wu, Junda, et al.
Published: (2025)
When does Chain-of-Thought Help: A Markovian Perspective
by: Wang, Zihan, et al.
Published: (2026)
by: Wang, Zihan, et al.
Published: (2026)
Fractured Chain-of-Thought Reasoning
by: Liao, Baohao, et al.
Published: (2025)
by: Liao, Baohao, et al.
Published: (2025)
A Theory of Online Learning with Autoregressive Chain-of-Thought Reasoning
by: Doron-Arad, Ilan, et al.
Published: (2026)
by: Doron-Arad, Ilan, et al.
Published: (2026)
Reasoning Models Sometimes Output Illegible Chains of Thought
by: Jose, Arun
Published: (2025)
by: Jose, Arun
Published: (2025)
Rethinking Chain-of-Thought Reasoning for Videos
by: Zhong, Yiwu, et al.
Published: (2025)
by: Zhong, Yiwu, et al.
Published: (2025)
Chain of Preference Optimization: Improving Chain-of-Thought Reasoning in LLMs
by: Zhang, Xuan, et al.
Published: (2024)
by: Zhang, Xuan, et al.
Published: (2024)
Dissecting Long-Chain-of-Thought Reasoning Models: An Empirical Study
by: Mu, Yongyu, et al.
Published: (2025)
by: Mu, Yongyu, et al.
Published: (2025)
Demystifying Long Chain-of-Thought Reasoning in LLMs
by: Yeo, Edward, et al.
Published: (2025)
by: Yeo, Edward, et al.
Published: (2025)
Unveiling Confirmation Bias in Chain-of-Thought Reasoning
by: Wan, Yue, et al.
Published: (2025)
by: Wan, Yue, et al.
Published: (2025)
Understanding Hidden Computations in Chain-of-Thought Reasoning
by: Bharadwaj, Aryasomayajula Ram
Published: (2024)
by: Bharadwaj, Aryasomayajula Ram
Published: (2024)
Understanding Reasoning in Chain-of-Thought from the Hopfieldian View
by: Hu, Lijie, et al.
Published: (2024)
by: Hu, Lijie, et al.
Published: (2024)
Robotic Control via Embodied Chain-of-Thought Reasoning
by: Zawalski, Michał, et al.
Published: (2024)
by: Zawalski, Michał, et al.
Published: (2024)
CDW-CoT: Clustered Distance-Weighted Chain-of-Thoughts Reasoning
by: Fang, Yuanheng, et al.
Published: (2025)
by: Fang, Yuanheng, et al.
Published: (2025)
Diffusion of Thoughts: Chain-of-Thought Reasoning in Diffusion Language Models
by: Ye, Jiacheng, et al.
Published: (2024)
by: Ye, Jiacheng, et al.
Published: (2024)
Scaling Graph Chain-of-Thought Reasoning: A Multi-Agent Framework with Efficient LLM Serving
by: Huan, Chengying, et al.
Published: (2025)
by: Huan, Chengying, et al.
Published: (2025)
Thought-Transfer: Indirect Targeted Poisoning Attacks on Chain-of-Thought Reasoning Models
by: Chaudhari, Harsh, et al.
Published: (2026)
by: Chaudhari, Harsh, et al.
Published: (2026)
Training Nonlinear Transformers for Chain-of-Thought Inference: A Theoretical Generalization Analysis
by: Li, Hongkang, et al.
Published: (2024)
by: Li, Hongkang, et al.
Published: (2024)
Similar Items
-
Emergence of Superposition: Unveiling the Training Dynamics of Chain of Continuous Thought
by: Zhu, Hanlin, et al.
Published: (2025) -
Towards a Theoretical Understanding of the 'Reversal Curse' via Training Dynamics
by: Zhu, Hanlin, et al.
Published: (2024) -
Transformers Provably Learn to Internalize Chain-of-Thought
by: Huang, Yixiao, et al.
Published: (2026) -
Token Assorted: Mixing Latent and Text Tokens for Improved Language Model Reasoning
by: Su, DiJia, et al.
Published: (2025) -
GSM-Agent: Understanding Agentic Reasoning Using Controllable Environments
by: Zhu, Hanlin, et al.
Published: (2025)