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Probability distribution

As explained in Data Without Labels

A probability distribution specifies the probabilities assigned to possible values or configurations of a random system.

A probability distribution assigns probabilities across possible values or configurations of a random system. In machine learning, it can describe the entire space of observed data and guide synthetic-data generation. section 10.3 section 8.8.2

Common machine-learning uses include:

  • Modeling a data distribution lets generative models learn underlying patterns and produce new data resembling training examples. section 10.3
  • Providing random input noise gives a GAN generator a seed for transforming simple samples into realistic synthetic data. section 10.4.1
  • Comparing model and data distributions trains Boltzmann systems to lower energy and increase the likelihood of appropriate configurations. section 8.8.1 section 8.8.2

GAN generation

A generator samples a noise vector from a Gaussian or uniform distribution, transforms it through learned layers, and produces data intended to match the real data distribution. section 10.4.1

Figure 10.1 Representation of a GAN
figure

Use the GAN diagram to trace how sampled noise becomes generated data and how the generator targets the real data distribution. section 10.4.1

How Data Without Labels covers it

How deep it goes
Explains data, noise, model, and Boltzmann distributions, including normalization and distribution matching, but not detailed probability derivations.
Examples
Uses Gaussian or uniform noise for GAN input and Boltzmann distributions for modeling neural-network states.
What you can do after
Evaluate how generative and energy-based models use distributions to generate data or compare learned and observed behavior.
How it connects
Connects probability distributions with generative models, GANs, Boltzmann machines, energy-based models, and discriminative models.

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This explainer was generated by Manning's knowledge graph from the text of Data Without Labels. The section links point to the parts of the book it draws on.