---
title: "Constructing Interpretable Features from Compositional Neuron"
description: "Mechanistic interpretability needs units of analysis that causally explain what an LLM outputs. 69 references."
authors: ["Or David Shafran", "Atticus Geiger", "Mor Geva"]
year: 2026
venue: "Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)"
source: "https://aclanthology.org/2026.acl-long.1959/"
doi: "10.18653/v1/2026.acl-long.1959"
licence: "CC BY 4.0 (ACL Anthology)"
licence_url: "https://creativecommons.org/licenses/by/4.0/"
summary_licence: "Elamur Cosmic License"
canonical: "https://research.elamur.ai/free/en/papers/shafran-2026-constructing-interpretable-features-compositional-neuron/"
---
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# Constructing Interpretable Features from Compositional Neuron Groups

**Authors:** Or David Shafran, [Atticus Geiger](https://md.research.elamur.ai/free/en/authors/atticus-geiger/) and [Mor Geva](https://md.research.elamur.ai/free/en/authors/mor-geva/) · **Year:** 2026 · **Venue:** [Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)](https://md.research.elamur.ai/free/en/venues/acl/) ([ACL 2026](https://md.research.elamur.ai/free/en/venues/acl/2026/)) · **Publisher:** [Association for Computational Linguistics](https://md.research.elamur.ai/free/en/publishers/association-for-computational-linguistics/) · **Licence:** [CC BY 4.0 (ACL Anthology)](https://creativecommons.org/licenses/by/4.0/)

**Links:** [Publisher's page](https://aclanthology.org/2026.acl-long.1959/) · [PDF](https://aclanthology.org/2026.acl-long.1959.pdf) · [DOI 10.18653/v1/2026.acl-long.1959](https://doi.org/10.18653/v1/2026.acl-long.1959) · [OpenAlex](https://openalex.org/W4417357092)

**Citations:** 1 citations (OpenAlex, 2026-10-14)

## Summary
Mechanistic interpretability needs units of analysis that causally explain what an LLM outputs. Individual neurons tend to mix several concepts. Sparse autoencoders (SAEs), usually trained on the residual stream, learn directions from scratch that are not linked to the model's own computations, and they often underperform in causal tests.

The authors instead factorize MLP activations, collected over a large amount of text, with semi-nonnegative matrix factorization (SNMF). One factor holds features, each a sparse mix of neurons that fire together. The other is a nonnegative coefficient matrix that ties each feature to the tokens driving it, which makes labelling features easy.

Features were tested on Llama 3.1, Gemma 2 and GPT-2 for concept detection and concept steering. SNMF features match SAEs on detection. On steering, they beat Gemmascope, Llamascope and a supervised difference-in-means baseline. Further analysis shows that related features reuse shared neuron groups, which forms a hierarchy.

This gives a simple, mechanism-grounded tool for finding interpretable features. It also suggests that SAE feature splitting reflects how the model itself composes neurons.

## Key points
- **Factorization setup:** the MLP activation matrix is approximated as Z·Y. Z holds the neuron-combination features, and Y is a nonnegative token-to-feature coefficient matrix. Projecting a feature through the MLP output weights gives its residual-stream direction.
- **Evaluation:** features were compared against Gemmascope, Llamascope and DiffMeans on detection and steering. An LLM judge scored the outputs, and a human check on 50 examples showed strong agreement (Spearman ρ = 0.8).
- **Recursive SNMF:** applying SNMF again to the learned features merges fine-grained concepts into broader ones, for example JavaScript and Python into programming. This is the reverse of SAE feature splitting.
- **Weekday features in GPT-2:** these share a core set of neurons. With the prompt "I think that" in GPT-2 Large, amplifying the core raises the logits of all weekday tokens. Amplifying one day's exclusive neurons boosts that day and suppresses the others.
- **Limitations:** experiments used fewer than 500 features and optimization by multiplicative updates. Code is available at github.com/ordavid-s/snmf-mlp-decomposition.

*Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.*

## Institutions

- [Tel Aviv University](https://md.research.elamur.ai/free/en/universities/tel-aviv-university/) — University, Tel Aviv, Israel · 82 works · 10,655 citations

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## Cite

Cite as: Or David Shafran, Atticus Geiger and Mor Geva. 2026. Constructing Interpretable Features from Compositional Neuron Groups. Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers).

The paper itself, not this page. BibTeX from the library's record of the work.

```bibtex
@inproceedings{shafran2026constructing,
  title = {{Constructing Interpretable Features from Compositional Neuron Groups}},
  author = {Or David Shafran, Atticus Geiger and Mor Geva},
  booktitle = {Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)},
  year = {2026},
  doi = {10.18653/v1/2026.acl-long.1959},
  url = {https://doi.org/10.18653/v1/2026.acl-long.1959}
}
```

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*Updated 31 October 2026*
