To address latent space inconsistency when training a Variational Autoencoder (VAE) on heterogeneous data across multiple domains, you can use the following strategies:
- Domain-Specific Encoders and Shared Latent Space
 
- Domain-Adversarial Training
 
- Cycle Consistency Loss
 
- Domain-Specific Loss Weighting
 
- Training Step
 
Here are the code snippets you can follow:

In the above code, we are using the following strategies:
- Domain-Specific Encoders: Separate encoders for each domain improve latent space mapping.
 
- Shared Decoder: Ensures consistent latent-to-data mapping across domains.
 
- Adversarial Training: Enforces domain invariance in the latent space.
 
- Cycle Consistency Loss: Maintains consistency between domains and latent representations.
 
- Weighted Loss: Helps balance heterogeneous data contributions during training.
 
Hence, these techniques collectively address latent space inconsistency and improve training robustness on heterogeneous datasets.