TLDR: This paper introduces a novel approach to combat ‘overthinking’ in Large Reasoning Models (LRMs) by categorizing it into internal (redundant steps within the correct solution) and external (unnecessary steps after the correct solution) redundancy. It proposes a dual-penalty reinforcement learning framework to reduce both. The key finding is that external redundancy can be removed safely without impacting accuracy, while internal redundancy needs careful management to avoid performance drops. The method significantly shortens reasoning traces, improves efficiency, and maintains accuracy, generalizing well to various tasks.
Large Reasoning Models (LRMs) have become incredibly powerful, especially when they use a technique called Chain-of-Thought (CoT) reasoning. This method allows these models to break down complex problems into step-by-step sequences, leading to more accurate answers and making their thought process more transparent. However, a common issue with these models is what researchers call ‘overthinking’ – they often produce excessively long and verbose reasoning traces. This verbosity can make the models less efficient and harder to understand.
A new research paper, titled “Reconsidering Overthinking: Penalizing Internal and External Redundancy in CoT Reasoning,” takes a fresh look at this problem. Instead of just trying to shorten the overall response length, the authors propose a more nuanced approach: they break down overthinking into two distinct types of redundancy.
Understanding the Two Types of Redundancy
The first type is internal redundancy. This refers to reasoning steps that occur within the ‘First Correct Solution’ (FCS) – the earliest complete set of steps that leads to the right answer. These internal steps might be low-contribution, meaning they don’t add much value towards reaching the correct answer, or they might involve repeating semantically similar content, like reiterating premises or re-evaluating intermediate steps.
The second type is external redundancy. This occurs after the model has already found the correct answer. It includes any unnecessary continuation, such as re-deriving the answer or verifying previous steps, which contributes little to solving the problem once the solution is found.
A Dual-Penalty Approach to Smarter Reasoning
To tackle both forms of redundancy, the researchers introduce a dual-penalty reinforcement learning framework. For internal redundancy, they use a clever technique called sliding-window semantic analysis. This method identifies and penalizes reasoning steps that offer little new information or progression towards the answer. The penalty is designed to be active only when the redundancy exceeds a certain threshold, allowing for a moderate amount of repetition that might be necessary for coherent reasoning.
For external redundancy, the framework penalizes the proportion of content generated after the first correct solution. This encourages the model to stop reasoning promptly once it has reached the answer, preventing unnecessary elaboration.
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Key Findings and Impact
The experiments conducted by the researchers yielded crucial insights. They found that external redundancy can be safely removed without negatively impacting the model’s performance. This suggests that the content generated after the first correct answer truly is superfluous. In contrast, internal redundancy needs to be reduced more cautiously. Overly compressing the internal reasoning steps can actually lead to a noticeable drop in accuracy, especially on more complex tasks. This highlights the delicate balance between conciseness and maintaining the necessary steps for accurate reasoning.
The dual-penalty method significantly compresses the reasoning traces produced by LRMs while maintaining minimal accuracy loss. Furthermore, the approach demonstrates strong generalization capabilities, extending its effectiveness to out-of-domain tasks like question answering and code generation. This indicates that the model learns a general principle for concise and efficient reasoning, rather than just overfitting to specific training data.
This research not only improves the efficiency of large reasoning models but also offers a more interpretable way to control the length of their Chain-of-Thought outputs, paving the way for more streamlined and understandable AI systems. The code for this research is publicly available for further exploration. You can find the full paper here.


