Do We Always Need the Simplicity Bias? Looking for Optimal Inductive Biases in the Wild
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Abstract (arXiv)
Neural architectures tend to fit their data with relatively simple functions. This "simplicity bias" is widely regarded as key to their success. This paper explores the limits of this principle. Building on recent findings that the simplicity bias stems from ReLU activations [96], we introduce a method to meta-learn new activation functions and inductive biases better suited to specific tasks. Findings: We identify multiple tasks where the simplicity bias is inadequate and ReLUs suboptimal. In these cases, we learn new activation functions that perform better by inducing a prior of higher complexity. Interestingly, these cases correspond to domains where neural networks have historically struggled: tabular data, regression tasks, cases of shortcut learning, and algorithmic grokking tasks. In comparison, the simplicity bias induced by ReLUs proves adequate on image tasks where the best learned activations are nearly identical to ReLUs and GeLUs. Implications: Contrary to popular belief, the simplicity bias of ReLU networks is not universally useful. It is near-optimal for image classification, but other inductive biases are sometimes preferable. We showed that activation functions can control these inductive biases, but future tailored architectures might provide further benefits. Advances are still needed to characterize a model's inductive biases beyond "complexity", and their adequacy with the data.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 85 of its 111 references that are in the map. First posted on arXiv 13 Mar 2025.
Builds on
85 of 111 references.
References · 85
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38 more
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50 most cited of 85 All 85 (JSON)
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Citing papers per year: 2025: 4; 2026: 9.
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- 2026Quantifying and Optimizing Simplicity via Polynomial Representationscited by 0
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- 2026Can Transformers Really Do It All? On the Compatibility of Inductive Biases Across Tasks20 Jul 2026
- 2026When Data Imbalance Helps: Robust Generalization Through Shortcut Saturation11 Jul 2026
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- 2026Stagewise Reinforcement Learning and the Geometry of the Regret Landscape12 Jan 2026
- 2025DNNs, Dataset Statistics, and Correlation Functions18 Nov 2025
- 2025A Modern Look at Simplicity Bias in Image Classification Tasks13 Sep 2025
- 2025Characterising the Inductive Biases of Neural Networks on Boolean Data29 May 2025