Statistical Learning Theory: VC Dimension, Structural Risk Minimization

Sometimes our models overfit, sometimes they overfit.

A model’s capacity is, informally, its ability to fit a wide variety of functions. As a simple example, a linear regression model with a single parameter has a much lower capacity than a linear regression model with multiple polynomial parameters. Different datasets demand models of different capacity, and each time we apply a model to a dataset we run the risk of overfitting or underfitting our data.

Continue reading “Statistical Learning Theory: VC Dimension, Structural Risk Minimization”

DropConnect Implementation in Python and TensorFlow

I wouldn’t expect DropConnect to appear in TensorFlow or Theano since, as far as I know, it’s used pretty rarely and doesn’t seem as well-studied or demonstrably more useful than its cousin, Dropout. However, there don’t seem to be any implementations out there, so I’ll provide a few ways of doing so. Continue reading “DropConnect Implementation in Python and TensorFlow”

Style Transfer with Tensorflow

A Neural Algorithm of Artistic Style” is an accessible and intriguing paper about the distinction and separability of image content and image style using convolutional neural networks (CNNs). In this post we’ll explain the paper and then run a few of our own experiments.

To begin, consider van Gogh’s “The Starry Night”: Continue reading “Style Transfer with Tensorflow”