Methods › General › Activation Functions › KAF
Kernel Activation Function
KAF
Introduced by Simone Scardapane et al. in Kafnets: kernel-based non-parametric activation functions for neural networks
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
A Kernel Activation Function is a non-parametric activation function defined as a one-dimensional kernel approximator:
f(s) = ∑ᵢ₌₁ᴰ αᵢ κ( s, dᵢ)
where:
- The dictionary of the kernel elements d₀, …, d_D is fixed by sampling the x-axis with a uniform step around 0.
- The user selects the kernel function (e.g., Gaussian, ReLU, Softplus) and the number of kernel elements D as a hyper-parameter. A larger dictionary leads to more expressive activation functions and a larger number of trainable parameters.
- The linear coefficients are adapted independently at every neuron via standard back-propagation.
In addition, the linear coefficients can be initialized using kernel ridge regression to behave similarly to a known function in the beginning of the optimization process.
Papers archive 2025-07-28
9 shown of 9, 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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Knowledge Augmentation in Federation: Rethinking What Collaborative Learning Can Bring Back to Decentralized Data 5 Mar 2025 · 0 repositories · arXiv:2503.03140
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Kolmogorov-Arnold Fourier Networks 9 Feb 2025 · 0 repositories · arXiv:2502.06018
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An Analytic Solution for Kernel Adaptive Filtering 5 Feb 2024 · 0 repositories · arXiv:2402.03497
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Association of stroke lesion distributions with atrial fibrillation detected after stroke 24 May 2023 · 0 repositories · arXiv:2305.14609
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The Functional Wiener Filter 31 Dec 2022 · 0 repositories · arXiv:2301.00291
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Learning to Forecast Dynamical Systems from Streaming Data 20 Sep 2021 · 1 repository · arXiv:2109.09703
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Multikernel activation functions: formulation and a case study 29 Jan 2019 · 0 repositories · arXiv:1901.10232
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Improving Sparsity in Kernel Adaptive Filters Using a Unit-Norm Dictionary 13 Jul 2017 · 0 repositories · arXiv:1707.04236
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Kafnets: kernel-based non-parametric activation functions for neural networks 13 Jul 2017 · 2 repositories · arXiv:1707.04035
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 |
|---|---|
| Time Series | 3 |
| Time Series Analysis | 3 |
| Computational Efficiency | 1 |
| Fairness | 1 |
| Federated Learning | 1 |
| Optical Character Recognition (OCR) | 1 |
| Privacy Preserving | 1 |
| regression | 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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