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Category: A Resource – THE BOOK – Excerpts/Drafts

Directed vs. Undirected Graphs in NNs: The (Surprising!) Implications

Directed vs. Undirected Graphs in NNs: The (Surprising!) Implications

Most of us don’t always use graph language to describe neural networks, but if we dig into the implications of graph theory language, we get some surprising (and very useful) insights! We probably all know that a typical feedforward neural network can be described as a “directed graph.” Many of us also know that a restricted Boltzmann machine (RBM) is an “undirected graph.” In this little difference of terms, there is a wealth of meaning. Salakhutdinov, Mnih, and Hinton (2007;…

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Book Chapter: Draft Chapter 7 – The Boltzmann Machine

Book Chapter: Draft Chapter 7 – The Boltzmann Machine

Chapter 7: Energy-Based Neural Networks This is the full chapter draft from the book-in-progress, Statistical Mechanics, Neural Networks, and Artificial Intelligence. This chapter draft covers not only the Hopfield neural network (released as an excerpt last week), but also the Boltzmann machine, in both general and restricted forms. It deals with that form-equals-function connection, based on the energy equation. (However, we postpone the full-fledged learning method to a later chapter.) Get the pdf using the pdf link in the citation…

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Book Excerpt: Chapter 7

Book Excerpt: Chapter 7

Chapter 7: Energy-Based Neural Networks This is the first time that I’m sharing an excerpt from the book-in-progress, Statistical Mechanics, Neural Networks, and Artificial Intelligence. This excerpt covers the Hopfield neural network only; I’m still revising / editing / adding-to the remaining sections on the (general and restricted) Boltzmann machine. Get the pdf using the pdf link in the citation below: Maren, A.J. (In progress). Chapter 7: Introduction to Energy-Based Neural Networks: The Hopfield Network and the (Restricted) Boltzmann Machine…

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