Research map / Probabilistic and scientific modeling / Differential equations and PDEs
Implicit Neural Representations with Periodic Activation Functions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| sine activations instead of ReLU | MLP implicit representation · video fitting | PSNR: about 5~dB | Helped |
| sine activations instead of ReLU/tanh/RBF | neural Helmholtz solver · Helmholtz equation | solution fidelity | Helped |
| sine activations instead of ReLU | neural SDF · shape representation | detail | Helped |
| sine activations vs ReLU with positional encoding | MLP image fit · image derivatives | derivative fidelity | Helped |
| SIREN hypernetwork with set encoder vs CNP | function-space prior · CelebA inpainting 100 ctx | MSE: 0.016 -> 0.013 | Helped |
| CNN encoder instead of set encoder (ablation) | SIREN hypernetwork · CelebA inpainting 100 ctx | MSE: 0.013 -> 0.009 | Helped |
| CNN encoder instead of set encoder (ablation) | SIREN hypernetwork · CelebA inpainting 1000 ctx | MSE: 0.009 -> 0.008 | No clear effect |
| use principled uniform init instead of arbitrary uniform weights (ablation) | SIREN · fitting | accuracy and convergence | Helped |
| SIREN vs principled ADMM FWI solver | full-waveform inversion · FWI single frequency | velocity MSE | Helped |
Closest papers by meaning
- A sampling theory perspective on activations for implicit neural representations (ICML 2024 · similarity 0.87)
- End-to-End Implicit Neural Representations for Classification (CVPR 2025 · similarity 0.87)
- Neural Functions for Learning Periodic Signal (ICLR 2025 · similarity 0.86)
- FINER: Flexible Spectral-bias Tuning in Implicit NEural Representation by Variable-periodic Activation Functions (CVPR 2024 · similarity 0.86)
- Implicit Neural Representations and the Algebra of Complex Wavelets (ICLR 2024 · similarity 0.85)
- Representing Sounds as Neural Amplitude Fields: A Benchmark of Coordinate-MLPs and a Fourier Kolmogorov-Arnold Framework (AAAI 2025 · similarity 0.84)
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