通过结构化投影优化大模型内部表示,提升特征分布稳定性。
Contextual Subspace Manifold Projection for Structural Refinement of Large Language Model Representations
- 引入上下文子空间流形投影,约束词元嵌入重构。
- 降低各向异性,增强特征可分性与表示紧凑性。
- 适合关注模型内部表征质量的开发者和研究者。
深度神经网络内部表示编码了语言结构的高维抽象,但其特征分布常存在效率不足问题,限制表达能力与适应性。本文提出上下文子空间流形投影(Contextual Subspace Manifold Projection),通过受控子空间约束选择性重构词元嵌入,实现更稳定、几何结构清晰的特征分布。实证表明,该结构化干预显著降低了各向异性,提升了表示紧凑性,同时保持跨变压器层的语义保真度。聚类分析显示词元嵌入具备更强特征可分性,支持结构化投影有助于优化内部表示组织且不损害语言连贯性。梯度幅值分布表明,该方法引入更平滑的优化轨迹,可能提升训练中参数更新的稳定性。投影操作计算开销极小,未带来模型效率或推理速度的明显损耗。相较于标准嵌入优化技术,该方法无需额外梯度优化即可直接提升表示质量。困惑度评估证实调整未影响序列连贯性,进一步验证了方法有效性。
原文摘要 · Abstract (English)
Internal representations within deep neural architectures encode high-dimensional abstractions of linguistic structures, yet they often exhibit inefficiencies in feature distribution, limiting expressiveness and adaptability. Contextual Subspace Manifold Projection introduces a structured refinement technique that selectively reconfigures token embeddings through controlled subspace constraints, ensuring more stable and geometrically well-defined feature distributions. Empirical evaluations demonstrated that the structured intervention reduced anisotropy, leading to improved representation compactness while preserving semantic fidelity across transformer layers. Clustering analyses indicated that token embeddings exhibited greater feature separability, reinforcing the hypothesis that structured projection techniques enhance internal representation organization without sacrificing linguistic coherence. Gradient magnitude distributions suggested that the method introduced a smoother optimization trajectory, potentially contributing to more stable parameter updates throughout training. Computational overhead associated with the projection operations remained minimal, ensuring that the refinements did not introduce significant trade-offs in model efficiency or inference speed. Comparisons with standard embedding refinement techniques highlighted that structured manifold constraints provided a direct mechanism for improving representation quality without requiring additional gradient-based optimization. Perplexity evaluations confirmed that the adjustments did not negatively impact sequence coherence, further validating the effectiveness of the proposed approach.
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