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Mathematical Formulation of Generative Adversarial Networks (GANs)
Many recent generative models leverage alternative generative frameworks, and among them, Generative Adversarial Networks (GANs) are one of the most popular. The basic idea behind a general GAN-based generative model is to first define a trainable generator network . This generator network is trained to generate realistic data samples by taking a random seed as input. At the same time, a discriminator network d_{phi}: chi rightarrow [0,1] is defined. The discriminator's goal is to distinguish between real data samples and samples generated by the generator .
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Updated 2026-06-15
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Data Science