NeuReasoner: Towards Explainable, Controllable, and Unified Reasoning via Mixture-of-Neurons
Authors: Haonan Dong, Kehan Jiang, Haoran Ye, Wenhao Zhu, Zhaolu Kang, Guojie Song
Organizations: State Key Laboratory of General Artificial Intelligence, School of Intelligence Science and Technology, Peking University · School of Software and Microelectronics, Peking University
Large Reasoning Models (LRMs) have recently achieved remarkable success in complex reasoning tasks. However, closer scrutiny reveals persistent failure modes compromising performance and cost: I) Intra-step level, marked by calculation or derivation errors; II) Inter-step level, involving oscillation and stagnation; and III) Instance level, causing maladaptive over-thinking. Existing endeavors target isolated levels without unification, while their black-box nature and reliance on RL hinder explainability and controllability. To bridge these gaps, we conduct an in-depth white-box analysis, identifying key neurons (Mixture of Neurons, MoN) and their fluctuation patterns associated with distinct failures. Building upon these insights, we propose NeuReasoner, an explainable, controllable, and unified reasoning framework driven by MoN. Technically, NeuReasoner integrates lightweight MLPs for failure detection with a special token-triggered self-correction mechanism learned via SFT. During inference, special tokens are inserted upon failure detection to actuate controllable remedial behaviors. Extensive evaluations across six benchmarks, six backbone models (8B~70B) against nine competitive baselines, demonstrate that NeuReasoner achieves performance gains of up to 27.0% while reducing token consumption by 19.6% ~ 63.3%.
Figures & tables
Figure 1: Distribution and illustration of failure modes across different levels using DeepSeek-R1-Distill-Qwen-7B on MATH ( Hendrycks et al., 2021 ) .
Figure 2: ( Upper ) Distribution of key neurons across distinct failure modes using DeepSeek-R1-Distill-Qwen-7B on MATH. ( Lower ) Time- and frequency-domain analysis of MoN for positive and negative sample pairs.
Figure 3: The overview of our proposed NeuReasoner .
Model
Method
AIME25
MATH500
GSM8K
GPQA-Diamond
LiveCodeBench
Pass@1 ↑
Token ↓
Pass@1 ↑
Token ↓
Pass@1 ↑
Token ↓
Pass@1 ↑
Token ↓
Pass@1 ↑
Token ↓
DeepSeek-R1-Distill-Qwen-7B
Vanilla
43.3
11454
91.8
2887
92.4
442
49.2
8016
36.9
9072
DAST
41.1
7904
91.6
1330
91.8
301
48.8
3635
36.8
4280
Think or Not
38.9
4760
92.0
1103
92.9
264
47.0
3390
36.4
7397
AlphaOne
44.4
8921
92.5
3791
93.4
459
50.5
8591
37.5
8177
RL + LP
43.3
6255
93.4
1322
92.5
291
50.3
3209
36.2
6293
Table 1: Main results. Best results are highlighted in bold , with runners-up underlined .
Figure 4: Case studies of NeuReasoner .
Figure 5: Test-time scalability under self-consistency.
Model
Method
MATH500
GPQA
Pass@1 ↑
Token ↓
Pass@1 ↑
Token ↓
DS-R1-Distill Qwen-32B
w/o MLPall
93.5
2469
63.9
6010
w/o MLPintra
94.5
1412
64.4
3441
w/o MLPinter
94.7
1434
64.9
3219
w/o MLPinst
95.8
2389
65.4
6118
NeuReasoner
96.3
1318
66.2
3274
Table 2: Ablation study of NeuReasoner .
Appendix figures & tables5 assets
Supplementary material from the paper’s appendix.
Appendix
Notation
Description
L
The total number of layers in the Large Language Model (LLM).
l∗
The index of the target intermediate layer for analysis, set to l∗=L/2 .
C
The set of all neurons, including both FFN neurons and attention heads, within the target layer l∗ .
yt
The target token generated at time step t .
wyt
The vector representation of the Language Model (LM) head corresponding to token yt .
hdec(l∗)(t,c)
The decomposed hidden state associated with neuron c at time step t in layer l∗ .
Appendix
Table 3: Comprehensive summary of notations and definitions used in this paper.
Failure Mode
Accuracy
Recall
MLPintra
0.871±0.010
0.848±0.012
MLPinter
0.862±0.011
0.936±0.008
MLPinst
0.944±0.006
0.951±0.007
Appendix
Table 4: Experimental results across different MLPs.
R1-Qwen-7B
R1-Qwen-32B
Qwen3-8B-thinking
Qwen3-32B-thinking
R1-Llama-8B
R1-Llama-70B
Method
Pass@1
Token
Pass@1
Token
Pass@1
Token
Pass@1
Token
Pass@1
Token
Pass@1
Token
Vanilla
54.4
10438
70.0
7873
70.0
11125
77.8
10677
45.6
10798.9
68.9
7766
DAST
55.6
7258
70.0
5802
67.8
5964
77.8
5981
45.6
8246
67.8
5115
Think or Not
52.2
4341
67.8
3993
68.9
5387
76.7
6173
44.4
6761
71.1
4005
AlphaOne
55.6
8224
72.2
8210
73.3
8343
78.9
8007
47.8
8339
72.2
7873
RL + LP
52.2
5693
71.1
5492
71.1
6986
76.7
6238
45.6
5333
66.7
5304
Appendix
Table 5: Additional results on the AIME24 dataset. Best results are bold , runners-up underlined .
Model
Method
AIME24
AIME25
MATH500
GSM8K
GPQA-Diamond
LiveCodeBench
DeepSeek-R1-Qwen-7B
Vanilla
02:13
02:12
04:11
02:26
04:52
24:20
NeuReasoner
02:24
02:23
04:29
02:38
05:13
25:51
DeepSeek-R1-Qwen-32B
Vanilla
04:00
04:10
07:06
01:45
07:29
36:36
NeuReasoner
04:17
04:28
07:35
01:54
07:59
38:51
Qwen3-8B-thinking
Vanilla
02:26
02:28
06:24
05:47
04:12
24:56
NeuReasoner
02:38
02:40
06:50
06:11
04:30
26:29
Appendix
Table 6: Inference efficiency comparison (Time in MM:SS).
Hyper
Value
Pass@1
Token
kintra
2
96.0
1360
4
96.3
1318
8
96.2
1335
kinter
2
96.1
1345
4
96.3
1318
8
96.4
1328
Appendix
Table 7: Hyperparameter sensitivity on MATH500 with DeepSeek-R1-Distill-Qwen-32B.
Large Language Models (LLMs) achieve strong performance through extended inference-time deliberation, yet how their reasoning failures arise remains poorly understood. By analyzing model-generated reasoning trajectories, we find that errors are not uniformly distributed but often originate from a small number of early transition points, after which reasoning remains locally coherent but globally incorrect. These transitions coincide with localized spikes in token-level entropy, and alternative continuations from the same intermediate state can still lead to correct solutions. Based on these observations, we introduce GUARD, a targeted inference-time framework that probes and redirects critical transitions using uncertainty signals. Empirical evaluations across multiple benchmarks confirm that interventions guided by these failure dynamics lead to more reliable reasoning outcomes. Our findings highlight the importance of understanding when and how reasoning first deviates, complementing existing approaches that focus on scaling inference-time computation.
Wei Zhu, Jian Zhang, Lixing Yu +2
School of Information Science and Engineering, Yunnan University, Kunming, China · Yunnan Key Laboratory of Intelligent Systems and Computing, Kunming, China
Current answering paradigms for Large Reasoning Models (LRMs) often fail to account for the fact that some questions may lie beyond the model's operational capability boundary, leading to long but unproductive reasoning. In this paper, we study whether LRMs expose early signals predictive of such cases, and whether these signals can be used to mitigate unproductive reasoning. In black-box settings, we find that reasoning expressions contain failure-predictive signals. In white-box settings, we show that the hidden states of the last input token contain information that is predictive of whether a question will not be solved correctly under our evaluation setup. Building on these observations, we propose two test-time monitoring strategies: reasoning expression monitoring and hidden states monitoring, that reduce token usage by 62.7-93.6%, substantially improving efficiency and reliability while largely preserving accuracy.
Large language models (LLMs) have demonstrated strong capabilities in complex reasoning tasks, yet their decision-making processes remain difficult to interpret. Existing explanation methods often lack trustworthy structural insight and are limited to single-instance analysis, failing to reveal reasoning stability and systematic failure mechanisms. To address these limitations, we propose the Trustworthy Unified Explanation Framework (TRUE), which integrates executable reasoning verification, feasible-region directed acyclic graph (DAG) modeling, and causal failure mode analysis. At the instance level, we redefine reasoning traces as executable process specifications and introduce blind execution verification to assess operational validity. At the local structural level, we construct feasible-region DAGs via structure-consistent perturbations, enabling explicit characterization of reasoning stability and the executable region in the local input space. At the class level, we introduce a causal failure mode analysis method that identifies recurring structural failure patterns and quantifies their causal influence using Shapley values. Extensive experiments across multiple reasoning benchmarks demonstrate that the proposed framework provides multi-level, verifiable explanations, including executable reasoning structures for individual instances, feasible-region representations for neighboring inputs, and interpretable failure modes with quantified importance at the class level. These results establish a unified and principled paradigm for improving the interpretability and reliability of LLM reasoning systems.