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README.md
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license: mit
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---
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license: mit
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tags:
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- audio
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- vocoder
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- speech
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- cvnn
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- istft
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- pytorch
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pipeline_tag: audio-to-audio
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---
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# ComVo: Complex-Valued Neural Vocoder for Waveform Generation
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**[ICLR 2026] Toward Complex-Valued Neural Networks for Waveform Generation**
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Hyung-Seok Oh, Deok-Hyeon Cho, Seung-Bin Kim, Seong-Whan Lee
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- 📄 [OpenReview Paper](https://openreview.net/forum?id=U4GXPqm3Va)
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- 🔊 [Audio Samples](https://hs-oh-prml.github.io/ComVo/)
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- 💻 [Code Repository](https://github.com/hs-oh-prml/ComVo)
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---
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## Overview
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ComVo is a neural vocoder for waveform generation based on iSTFT.
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It models complex-valued spectrograms and synthesizes waveforms via inverse short-time Fourier transform.
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Conventional iSTFT-based vocoders typically process real and imaginary components separately.
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ComVo instead operates in the complex domain, allowing the model to capture structural relationships between magnitude and phase more effectively.
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---
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## Method
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ComVo is built on the following components:
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- **Complex-domain modeling**
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The generator and discriminator operate on complex-valued representations.
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- **Adversarial training in the complex domain**
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The discriminator provides feedback directly on complex spectrograms.
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- **Phase quantization**
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Phase values are discretized to regularize learning and guide phase transformation.
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- **Block-matrix computation**
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A structured computation scheme that reduces redundant operations.
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---
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## Model Details
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- **Architecture**: GAN-based neural vocoder
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- **Representation**: Complex spectrogram
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- **Sampling rate**: 24 kHz
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- **Framework**: PyTorch ≥ 2.0
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---
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## Usage
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### Installation
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```bash
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pip install -r requirements.txt
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```
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## Inference
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```bash
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python infer.py \
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-c configs/configs.yaml \
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--ckpt /path/to/comvo.ckpt \
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--wavfile /path/to/input.wav \
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--out_dir ./results
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```
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## Training
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```bash
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python train.py -c configs/configs.yaml
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```
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Configuration details are specified in `configs/configs.yaml`.
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## Pretrained Model
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A pretrained checkpoint is provided for inference.
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- Checkpoint: https://works.do/xM2ttS4
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- Configuration: `configs/configs.yaml`
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- Sampling rate: 24 kHz
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Please ensure that the configuration file matches the checkpoint when running inference.
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---
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## Limitations
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- The model is trained for 24 kHz audio and may not generalize to other sampling rates
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- GPU is recommended for efficient inference and training
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- Complex-valued operations may not be fully supported in all deployment environments
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---
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## Citation
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```bibtex
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@inproceedings{
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oh2026toward,
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title={Toward Complex-Valued Neural Networks for Waveform Generation},
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author={Hyung-Seok Oh and Deok-Hyeon Cho and Seung-Bin Kim and Seong-Whan Lee},
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booktitle={International Conference on Learning Representations (ICLR)},
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year={2026},
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url={https://openreview.net/forum?id=U4GXPqm3Va}
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}
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```
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## Acknowledgements
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For additional details, please refer to the paper and the project page with audio samples.
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