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Subtractive Modulative Network with Learnable Periodic Activations

arXiv 2602.16337 ↗First posted 18 Feb 2026cs.CV cs.LGcited by 0

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Abstract (arXiv)

We propose the Subtractive Modulative Network (SMN), a novel, parameter-efficient Implicit Neural Representation (INR) architecture inspired by classical subtractive synthesis. The SMN is designed as a principled signal processing pipeline, featuring a learnable periodic activation layer (Oscillator) that generates a multi-frequency basis, and a series of modulative mask modules (Filters) that actively generate high-order harmonics. We provide both theoretical analysis and empirical validation for our design. Our SMN achieves a PSNR of 40+ dB on two image datasets, comparing favorably against state-of-the-art methods in terms of both reconstruction accuracy and parameter efficiency. Furthermore, consistent advantage is observed on the challenging 3D NeRF novel view synthesis task. Supplementary materials are available at https://inrainbws.github.io/smn/.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 14 of its 16 references that are in the map. First posted on arXiv 18 Feb 2026.

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References · 14

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,214
  3. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,170
  4. 2018On the Spectral Bias of Neural Networkscited by 1,321
  5. 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
  6. 2019Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networkscited by 360
  7. 2020Learned Initializations for Optimizing Coordinate-Based Neural Representationscited by 240
  8. 2021COIN: COmpression with Implicit Neural representationscited by 232
  9. 2023WIRE: Wavelet Implicit Neural Representationscited by 220
  10. 2020Adversarial Generation of Continuous Imagescited by 135
  11. 2021Beyond Periodicity: Towards a Unifying Framework for Activations in Coordinate-MLPscited by 134
  12. 2018InverSynth: Deep Estimation of Synthesizer Parameter Configurations from Audio Signalscited by 11
2 more
  1. 2025Robustifying Fourier Features Embeddings for Implicit Neural Representationscited by 5
  2. 2023Improved Positional Encoding for Implicit Neural Representation based Compact Data Representationcited by 4

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