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REPARAMETERIZATION TRICK

  • Reparameterization trick
  • Technique used in stochastic gradient variational inference

    The reparameterization trick (aka "reparameterization gradient estimator") is a technique used in statistical machine learning, particularly in variational

    Reparameterization trick

    Reparameterization_trick

  • Variational autoencoder
  • Deep learning generative model to encode data representation

    networks are typically trained together with the usage of the reparameterization trick, although the variance of the noise model can be learned separately

    Variational autoencoder

    Variational autoencoder

    Variational_autoencoder

  • Gumbel distribution
  • Particular case of the generalized extreme value distribution

    distribution. This technique is called "Gumbel-max trick" and is a special example of "reparameterization tricks". In detail, let ( π 1 , … , π n ) {\displaystyle

    Gumbel distribution

    Gumbel distribution

    Gumbel_distribution

  • Exploration–exploitation dilemma
  • Concept in decision-making

    \mu _{W},\Sigma _{W},\mu _{b},\Sigma _{b}} are learned via the reparameterization trick. Berger-Tal, Oded; Nathan, Jonathan; Meron, Ehud; Saltz, David

    Exploration–exploitation dilemma

    Exploration–exploitation_dilemma

  • Policy gradient method
  • Class of reinforcement learning algorithms

    }(A_{j}|S_{j})\cdot \Psi _{i}|S_{i}=s_{i}]=0.} Proofs Proof of the lemma Use the reparameterization trick. E π θ [ ∇ θ ln ⁡ π θ ( A j | S j ) | S i = s i ] = ∑ s P r ( S

    Policy gradient method

    Policy_gradient_method

  • Flow-based generative model
  • Statistical model used in machine learning

    are fixed functions that define the autoregressive model. By the reparameterization trick, the autoregressive model is generalized to a normalizing flow:

    Flow-based generative model

    Flow-based_generative_model

  • Wasserstein GAN
  • Generative adversarial network variant

    \nabla _{\theta }\ln \rho _{\mu _{G}}(x)]} where we used the reparameterization trick. As shown, the generator in GAN is motivated to let its μ G {\displaystyle

    Wasserstein GAN

    Wasserstein_GAN

  • Unsupervised learning
  • Paradigm in machine learning that uses no classification labels

    Sampling, and backpropagating reconstruction errors or hidden state reparameterizations. See the table below for more details. An energy function is a macroscopic

    Unsupervised learning

    Unsupervised_learning

  • Melnikov distance
  • \}=W^{s}(p_{0})\cap W^{u}(p_{0})\cup \{p_{0}\}.} To obtain the Melnikov function, some tricks have to be used, for example, to get rid of the time dependence and to gain

    Melnikov distance

    Melnikov_distance

  • Curve-shortening flow
  • Motion of a curve based on its curvature

    to move along the curve, as the curve evolves. Choosing a careful reparameterization can help redistribute the vertices more evenly along the curve in

    Curve-shortening flow

    Curve-shortening flow

    Curve-shortening_flow

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