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Mathematics, Science, Computers

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Deep Learning: Generative Models

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  • 1. Multiple Choice
    15 minutes
    1 pt

    Which of the following statements justify the Maximum Likelihood approach ?

    It returns a model that assigns high probability to observed data

    It minimises the KL divergence KL[p_data || p_model]

    It minimises the KL divergence KL[p_model || p_data]

    It minimises the reconstruction error of the data

  • 2. Multiple Choice
    15 minutes
    1 pt

    Which of the following statements, when combined together, explain why we cannot train VAEs using Maximum likelihood Estimation?

    The decoder is parameterised by a neural network so it is highly non-linear

    The latent variable is continuous

    MLE requires evaluating the marginal distribution on data

    There are too many datapoints in the dataset

  • 3. Multiple Choice
    15 minutes
    1 pt

    Which of the following statements are true for the VAE objective?

    It is a lower-bound to the maximum likelihood objective

    The gap between the VAE objective and the maximum likelihood objective is KL[p(z)||q(z|x)]

    The KL term can always be viewed as a regulariser for the VAE encoder

    The optimum of the VAE decoder is also the MLE optimum

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