Features that Make a Difference: Leveraging Gradients for Improved Dictionary Learning
Jeffrey Olmo, Jared Wilson, Max Forsey, Bryce Hepner, Thomas Vincent Howe, David Wingate
Abstract
Sparse Autoencoders (SAEs) are a promising approach for extracting neural network representations by learning a sparse and overcomplete decomposition of the network’s internal activations. However, SAEs are traditionally trained considering only activation values and not the effect those activations have on downstream computations. This limits the information available to learn features, and biases the autoencoder towards neglecting features which are represented with small activation values but strongly influence model outputs.To address this, we introduce Gradient SAEs (g-SAEs), which modify the k-sparse autoencoder architecture by augmenting the TopK activation function to rely on the gradients of the input activation when selecting the k elements. For a given sparsity level, g-SAEs produce reconstructions that are more faithful to original network performance when propagated through the network.Additionally, we find evidence that g-SAEs learn latents that are on average more effective at steering models in arbitrary contexts.By considering the downstream effects of activations, our approach leverages the dual nature of neural network features as both representations, retrospectively, and actions, prospectively. While previous methods have approached the problem of feature discovery primarily focused on the former aspect, g-SAEs represent a step towards accounting for the latter as well.- Anthology ID:
- 2025.findings-naacl.423
- Volume:
- Findings of the Association for Computational Linguistics: NAACL 2025
- Month:
- April
- Year:
- 2025
- Address:
- Albuquerque, New Mexico
- Editors:
- Luis Chiruzzo, Alan Ritter, Lu Wang
- Venue:
- Findings
- SIG:
- Publisher:
- Association for Computational Linguistics
- Note:
- Pages:
- 7609–7619
- Language:
- URL:
- https://preview.aclanthology.org/fix-sig-urls/2025.findings-naacl.423/
- DOI:
- Cite (ACL):
- Jeffrey Olmo, Jared Wilson, Max Forsey, Bryce Hepner, Thomas Vincent Howe, and David Wingate. 2025. Features that Make a Difference: Leveraging Gradients for Improved Dictionary Learning. In Findings of the Association for Computational Linguistics: NAACL 2025, pages 7609–7619, Albuquerque, New Mexico. Association for Computational Linguistics.
- Cite (Informal):
- Features that Make a Difference: Leveraging Gradients for Improved Dictionary Learning (Olmo et al., Findings 2025)
- PDF:
- https://preview.aclanthology.org/fix-sig-urls/2025.findings-naacl.423.pdf