LGAISep 2, 2025

Preserving Bilinear Weight Spectra with a Signed and Shrunk Quadratic Activation Function

arXiv:2509.01874v1
Originality Incremental advance
AI Analysis

This addresses the need for reliable and efficient interpretability in machine learning models, particularly for researchers and practitioners, though it appears incremental as it builds on existing Gated Linear Units.

The paper tackles the problem of enabling interpretable feature learning in neural networks by introducing the Signed Quadratic Shrink (SQS) activation function, which achieves performance competitive with state-of-the-art methods while allowing weight-based interpretability.

Understanding the inner workings of machine learning models is critical for ensuring their reliability and robustness. Whilst many techniques in mechanistic interpretability focus on activation driven analyses, being able to derive meaningful features directly from the weights of a neural network would provide greater guarantees and more computational efficiency. Existing techniques for analyzing model features through weights suffer from drawbacks such as reduced performance and data inefficiency. In this paper, we introduce Signed Quadratic Shrink (SQS), an activation function designed to allow Gated Linear Units (GLUs) to learn interpretable features without these drawbacks. Our experimental results show that SQS achieves performance competitive with state-of-the-art activation functions whilst enabling weight-based interpretability

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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