mlsanityData to 7 Oct 2026

Conditional Generation of Periodic Signals with Fourier-Based Decoder

arXiv 2110.12365 ↗First posted 24 Oct 2021cs.NE cs.LGcited by 6

Not on the map. Why?

Abstract (arXiv)

Periodic signals play an important role in daily lives. Although conventional sequential models have shown remarkable success in various fields, they still come short in modeling periodicity; they either collapse, diverge or ignore details. In this paper, we introduce a novel framework inspired by Fourier series to generate periodic signals. We first decompose the given signals into multiple sines and cosines and then conditionally generate periodic signals with the output components. We have shown our model efficacy on three tasks: reconstruction, imputation and conditional generation. Our model outperforms baselines in all tasks and shows more stable and refined results.

Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 14 of its 39 references that are in the map. First posted on arXiv 24 Oct 2021.

Builds on

14 of 39 references.

References · 14

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Language Models are Few-Shot Learnerscited by 32,199
  3. 2021Zero-Shot Text-to-Image Generationcited by 4,276
  4. 2014Learning Phrase Representations using RNN Encoder-Decoder for Statistical Machine Translationcited by 4,016
  5. 2018Neural Ordinary Differential Equationscited by 3,733
  6. 2014On the Properties of Neural Machine Translation: Encoder-Decoder Approachescited by 1,303
  7. 2018Conditional Neural Processescited by 421
  8. 2017Real-valued (Medical) Time Series Generation with Recurrent Conditional GANscited by 329
  9. 2018Neural Processescited by 307
  10. 2019Attentive Neural Processescited by 280
  11. 2017Conditional Time Series Forecasting with Convolutional Neural Networkscited by 121
  12. 2020Neural Networks Fail to Learn Periodic Functions and How to Fix Itcited by 97
2 more
  1. 2018T-CGAN: Conditional Generative Adversarial Network for Data Augmentation in Noisy Time Series with Irregular Samplingcited by 29
  2. 2019Fourier Neural Networks: A Comparative Studycited by 14

Built on by

Cited by year

Citing papers per year: 2022: 1; 2023: 2; 2024: 1; 2025: 2.

6 papers.

  1. 2023Confronting Ambiguity in 6D Object Pose Estimation via Score-Based Diffusion on SE(3)cited by 17
  2. 2024FAN: Fourier Analysis Networkscited by 12
  3. 2023Deep Generative Models for Physiological Signals: A Systematic Literature Reviewcited by 7
  4. 2022Periodic Extrapolative Generalisation in Neural Networkscited by 3
  5. 2025Imputation of Missing Data in Smooth Pursuit Eye Movements Using a Self-Attention-based Deep Learning Approachcited by 0
  6. 2025Towards High-Fidelity Gaussian Splatting with Queried-Convolution Neural Networkscited by 0