Methods › General › Adaptive Activation Functions › modReLU
modReLU
Introduced by Martin Arjovsky et al. in Unitary Evolution Recurrent Neural Networks
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
modReLU is an activation that is a modification of a ReLU. It is a pointwise nonlinearity, σ_(modReLU)(z) : C →C, which affects only the absolute value of a complex number, defined as:
σ_(modReLU)(z) = (|z| + b)z/(|z|) if |z| + b ≥0 σ_(modReLU)(z) = 0 if |z| + b ≤0
where b ∈ℝ is a bias parameter of the nonlinearity. For a nₕ dimensional hidden space we learn nₕ nonlinearity bias parameters, one per dimension.
Papers archive 2025-07-28
6 shown of 6, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.
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SPECTRE: An FFT-Based Efficient Drop-In Replacement to Self-Attention for Long Contexts 25 Feb 2025 · 2 repositories · arXiv:2502.18394
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Optimal approximation using complex-valued neural networks 29 Mar 2023 · 0 repositories · arXiv:2303.16813
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Quantitative approximation results for complex-valued neural networks 25 Feb 2021 · 0 repositories · arXiv:2102.13092
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An AutoML-based Approach to Multimodal Image Sentiment Analysis 16 Feb 2021 · 0 repositories · arXiv:2102.08092
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Complex Unitary Recurrent Neural Networks using Scaled Cayley Transform 9 Nov 2018 · 1 repository · arXiv:1811.04142
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Unitary Evolution Recurrent Neural Networks 20 Nov 2015 · 2 repositories · arXiv:1511.06464Syntology ran 1 of 1 samples · 0 unverified · 1 pointer-only (licence)
Tasks archive 2025-07-28
8 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.
| Task | Papers |
|---|---|
| AutoML | 1 |
| Language Modeling | 1 |
| Language Modelling | 1 |
| Marketing | 1 |
| Multimodal Sentiment Analysis | 1 |
| Recommendation Systems | 1 |
| Sentiment Analysis | 1 |
| Sequential Image Classification | 1 |
Usage over time archive 2025-07-28
Components: the archive holds no method-to-method composition, so PwC's Components table cannot be rebuilt; the Papers list carries no Results column for the same reason (the archive does not join its leaderboard rows to method tags).
Categories archive 2025-07-28
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