Bartosz Milewski's Programming Cafe | Category Theory, Haskell,...

Bartosz Milewski. Category Theory, Haskell, Concurrency, C++.

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Bartoszmilewski.com news digest

  • 1 month

    Neural Networks, Pre-lenses, and Triple Tambara Modules, Part II

    I will now provide the categorical foundation of the Haskell implementation from the previous post. A PDF version that contains both parts is also available. The Para Construction There’s been a lot of interest in categorical foundations of deep learning...

  • 1 month

    Neural Networks, Pre-Lenses, and Triple Tambara Modules

    Introduction Neural networks are an example of composable systems, so it’s no surprise that they can be modeled in category theory, which is the ultimate science of composition. Moreover, the categorical ideas behind neural networks can be immediately...

  • 2 months

    Linear Lenses in Haskell

    I always believed that the main problems in designing a programming language were resource management and concurrency–and the two are related. If you can track ownership of resources, you can be sure that no synchronization is needed when there’s a single...

  • 7 months

    Exercise in Coherence

    There is an exercise in Saunders Mac Lane’s “Categories for the Working Mathematician” that was a lesson in humility for me. Despite several hints provided by Mac Lane, all my attempts to solve it failed. Finally my Internet search led me to a diagram...

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