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Programming language: Haskell
License: BSD 3-clause "New" or "Revised" License
Tags: Algorithms     Math    

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Haskell stochastic gradient descent library

Stochastic gradient descent (SGD) is a method for optimizing a global objective function defined as a sum of smaller, differentiable functions. In each iteration of SGD the gradient is calculated based on a subset of the training dataset. In Haskell, this process can be simply represented as a fold over a of subsequent dataset subsets (singleton elements in the extreme).

However, it can be beneficial to select the subsequent subsets randomly (e.g., shuffle the entire dataset before each pass). Moreover, the dataset can be large enough to make it impractical to store it all in memory. Hence, the sgd library adopts a pipe-based interface in which SGD takes the form of a process consuming dataset subsets (the so-called mini-batches) and producing a stream of output parameter values.

The sgd library implements several SGD variants (SGD with momentum, AdaDelta, Adam) and handles heterogeneous parameter representations (vectors, maps, custom records, etc.). It can be used in combination with automatic differentiation libraries (ad, backprop), which can be used to automatically calculate the gradient of the objective function.

Look at the hackage repository for a library documentation.