Layers at Similar Depths Generate Similar Activations Across LLM Architectures
Not on the map. Why?
Abstract (arXiv)
How do the latent spaces used by independently-trained LLMs relate to one another? We study the nearest neighbor relationships induced by activations at different layers of 24 open-weight LLMs, and find that they 1) tend to vary from layer to layer within a model, and 2) are approximately shared between corresponding layers of different models. Claim 2 shows that these nearest neighbor relationships are not arbitrary, as they are shared across models, but Claim 1 shows that they are not "obvious" either, as there is no single set of nearest neighbor relationships that is universally shared. Together, these suggest that LLMs generate a progression of activation geometries from layer to layer, but that this entire progression is largely shared between models, stretched and squeezed to fit into different architectures.
Key facts. Cited by 12 papers in the map (data through 14 Oct 2026). Builds on 23 of its 36 references that are in the map. First posted on arXiv 3 Apr 2025.
Builds on
23 of 36 references.
References · 23
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11 more
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Built on by
Citing papers per year: 2025: 6; 2026: 6.
12 papers.
- 2025Harnessing the Universal Geometry of Embeddingscited by 55
- 2025Correlated Errors in Large Language Modelscited by 45
- 2026Differential syntactic and semantic encoding in LLMscited by 7
- 2025Signal in the Noise: Polysemantic Interference Transfers and Predicts Cross-Model Influencecited by 4
- 2025Dynamic Weight Grafting: Localizing Finetuned Factual Knowledge in Transformerscited by 3
- 2025Large Language Models Show Signs of Alignment with Human Neurocognition During Abstract Reasoningcited by 2
- 2025Mapping Overlaps in Benchmarks through Perplexity in the Wildcited by 2
- 2026Characterizing Human Semantic Navigation in Concept Production as Trajectories in Embedding Spacecited by 2
- 2026Contravariance Theory: Strong Alignment for Minimal Solutions to Hard Taskscited by 2
- 2026Gradient Smoothing: Coupling Layer-wise Updates for Improved Optimizationcited by 0
- 2026SAEVerbalizer: Generating Explanations for Sparse Autoencoder Features via Representation Verbalizationcited by 0
- 2026Global Divergence, Local Convergence: Representation Geometry in SSMs and Transformerscited by 0
- 2026Global Divergence, Local Convergence: Representation Geometry in SSMs and Transformers8 Sep 2026
- 2026SAEVerbalizer: Generating Explanations for Sparse Autoencoder Features via Representation Verbalization13 Aug 2026
- 2026Contravariance Theory: Strong Alignment for Minimal Solutions to Hard Tasks9 Jul 2026
- 2026Gradient Smoothing: Coupling Layer-wise Updates for Improved Optimization29 Jun 2026
- 2026Characterizing Human Semantic Navigation in Concept Production as Trajectories in Embedding Space5 Feb 2026
- 2026Differential syntactic and semantic encoding in LLMs8 Jan 2026
- 2025Mapping Overlaps in Benchmarks through Perplexity in the Wild27 Sep 2025
- 2025Large Language Models Show Signs of Alignment with Human Neurocognition During Abstract Reasoning12 Aug 2025
- 2025Dynamic Weight Grafting: Localizing Finetuned Factual Knowledge in Transformers25 Jun 2025
- 2025Correlated Errors in Large Language Models9 Jun 2025
- 2025Harnessing the Universal Geometry of Embeddings18 May 2025
- 2025Signal in the Noise: Polysemantic Interference Transfers and Predicts Cross-Model Influence16 May 2025