Optimize latent vector sampling in VAEs using prior regularization, importance-weighted sampling, and normalizing flows for more expressive latent distributions.Here is the code snippet you can refer to:


In the above code, we are using the following key approaches
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Reparameterization Trick: Enables backpropagation through the latent sampling process.
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KL Divergence Regularization: Ensures a well-structured latent space for improved sampling.
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Adaptive Sampling Strategy: Enhances latent vector expressiveness for diverse synthetic data.
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Scalability: Extendable to normalizing flows or importance-weighted sampling for richer data.
Hence, optimizing latent vector sampling in VAEs with KL divergence and reparameterization improves the quality and diversity of synthetic data generation.