Chain-of-thought (CoT) reasoning has emerged as a crucial paradigm for enhancing large language model (LLM) performance on multi-step reasoning tasks.However, the internal mechanisms by which LLMs invoke knowledge and propagate information across different steps of the CoT are poorly understood.To fill this gap, we propose a multi-stage probing framework that enforces structured reasoning with three explicit stages: keyword extraction, theorem generation, and computation execution.The framework integrates attention knockout to trace cross-layer information flow and theorem probing to examine how specific contents are encoded within representations.To enable controlled and stage-aligned analysis, we construct a structured CoT dataset that covers the mathematics and physics domains. Experiments on four instruction-tuned LLMs reveal distinct stage-specific patterns.First, keyword information is progressively aggregated into the final token in later layers.Second, theorem semantics are encoded in the mid-to-late layers and undergo two stages of propagation.Finally, parameter substitution is achieved through joint extraction by the final token and other tokens.The first parameter predominantly relies on the final token, whereas later parameters increasingly depend on information extracted by other tokens.Overall, our findings shed light on the neural implementation of CoT reasoning and provide actionable insights for developing more interpretable and reasoning-capable LLMs.We further evaluate a free-form prompting setting without labeled fields and observe consistent qualitative trends.

Unified Information Extraction (UIE) aims to handle heterogeneous IE tasks within a single framework, but existing methods often suffer from inconsistent schema representation, implicitly intermediate reasoning and full-parameter adaptation, which limit generalization, interpretability and parameter efficiency. To address these issues, we propose UC-UIE (Universal Capabilities-based Unified Information Extractor), a unified framework based on Large Language Model (LLM), which introduces a unified frame-and-slots schema for IE tasks and explicitly decomposes IE reasoning into three universal capabilities: judging, locating, and associating. Furthermore, UC-UIE adopts a Low-Rank Adaptation (LoRA) based hierarchical Mixture-of-Experts (MoE) adapter to fine-tune LLMs for IE tasks, which explicitly models these three capabilities in a task-driven way while ensuring parameter efficiency. With only 1.24% trainable parameters, UC-UIE outperforms full-parameter tuning methods, showing excellent parameter efficiency. Zero-shot evaluation reveals its strong generalization ability to unseen domains and schemas, benefiting from unified schema representation and explicit capability decomposition. Further experiments validate that the hierarchical MoE adapter learns capability specialization and composition, which enhances both UIE performance and interpretability.

Mixture of Experts (MoE) dynamically routes inputs to specialized expert networks, enabling large language models to scale capacity with low inference overhead. To further improve MoE’s parameter efficiency in resource-constrained scenarios, LoRA–MoE integrates LoRA for lightweight adaptation while preserving MoE’s specialization. Despite these benefits, the effectiveness of LoRA–MoE still hinges on balanced expert utilization, where certain experts dominate activations while most remain underutilized. Existing balancing strategies focus on constraining the final distribution of expert usage, but overlook the routing decisions made at each layer. As a result, imbalances gradually accumulate across the routing hierarchy. To address this challenge, we propose LayerMoE, a novel three-stage framework that leverages process-level rewards to guide balanced expert routing. Specifically, to overcome the limitation of focusing only on final losses and ignoring intermediate routing, we introduce Monte Carlo Tree Search (MCTS)-based sampling that decomposes outcome-level supervision into layer-wise reward signals, guiding expert choices throughout the routing process. For efficiency, we organize Transformer layers into groups, which constrain the search space of MCTS and keep exploration overhead tractable while retaining the hierarchical structure. Extensive experiments on representative datasets (e.g., ARC, RACE, OBQA) show that applying LayerMoE consistently improves the performance of state-of-the-art LoRA-MoE baselines, yielding an average accuracy gain of 1.39%. Notably, the maximum improvement reaches 2.50%.