WaveNet
WaveNet
**WaveNet** is an audio generative model based on the [PixelCNN](https://paperswithcode.com/method/pixelcnn) architecture. In order to deal with long-range temporal dependencies needed for raw audio generation, architectures are developed based on dilated causal convolutions, which exhibit very large receptive fields.

The joint probability of a waveform $\vec{x} = \{ x_1, \dots, x_T \}$ is factorised as a product of conditional probabilities as follows:

$$p\left(\vec{x}\right) = \prod_{t=1}^{T} p\left(x_t \mid x_1, \dots ,x_{t-1}\right)$$

Each audio sample $x_t$ is therefore conditioned on the samples at all previous timesteps.
WaveNet: A Generative Model for Raw Audio
https://paperswithcode.com/paper/wavenet-a-generative-model-for-raw-audio
WaveNet: A Generative Model for Raw Audio