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Website Value $3503
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Theclevermachine.wordpress.com Server Location

Country: United States
Metropolitan Area: San Francisco
Postal Reference Code: 94110
Latitude: 37.7506
Longitude: -122.4121




Summarized Content

In this post I will review the gradient descent algorithm that is commonly used to train the general clas* of models known as Boltzmann machines. Though the primary goal of the post is to supplement another post on restricted Boltzmann machines, I hope that those readers who are curious about how Boltzmann machines are trained, but have found it difficult to track down a complete or straight-forward derivation of the maximum likelihood learning algorithm for these models (as I have), will also find the post First, a little background: Boltzmann machines are stochastic neural networks that can be thought of as the probabilistic extension of the between Boltzmann machines and neural networks, the random variables are often are often referred to as “units.” The role of the visible units is to approximate the true distribution of the data, while the role of the latent variables it to extend the expressiveness of the model by capturing underlying features in the observed data. The latent variables are often referred to as hidden units, as they do not result directly from the observed data and are generally marginalized over to obtain the likelihood of and hidden units (but no connections from any unit to itself). The graphical model for the general Boltzmann machine is shown in Figure Given the current state of the visible and hidden units, the overall configuration of the model network is described by a connectivity that capture offsets for each of the hidden and visible units. The Boltzmann machine has been used for years in field of statistical mechanics to model physical systems based on the principle of energy minimization. In the statistical mechanics, the connectivity function is often referred to the “energy function,” a term that is has also been standardized in the statistical learning literature. Note that the energy function returns a single scalar value for any configuration of the network parameters and random variable states.


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Title: The Clever Machine | Topics in Computational Neuroscience & Machine
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/about-me/:
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About the Author | The Clever Machine

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Hi! My Name is Dustin Stansbury. I recently received my PhD from UC Berkeley in Vision Science under the supervision of Jack Gallant. My academic research interests involve, but are not limited to: Neural Computation Machine Learning (particularly neural networks) Natural Scene Statistics Visual Perception Computer Vision Signal Processing Neuroimaging (e.g. Functional Magnetic Resonance Imaging (fMRI)) My…

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/about-theclevermachine/:
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About The Clever Machine | The Clever Machine

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This blog is essentially an attempt to distill some of the knowledge I've gained through my graduate studies in computational neuroscience. The content of the blog will be posts about ysis techniques, algorithms, theory, or things I think are cool,  exciting, or helpful. I plan for most posts to be based around a source code implementation**…

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Blog Interface | The Clever Machine

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To optimize scientific density in the posts, all things involving the user interface have been relocated to this centralized location. The reader can use this page to navigate, add general comments, etc.

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/2014/09/23/derivation-maximum-likelihood-for-boltzmann-machines/:
Title

Derivation: Maximum Likelihood for Boltzmann Machines | The Clever Machine

Description

In this post I will review the gradient descent algorithm that is commonly used to train the general cl of models known as Boltzmann machines. Though the primary goal of the post is to supplement another post on restricted Boltzmann machines, I hope that those readers who are curious about how Boltzmann machines are trained, but have found it difficult to track down a…

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dustinstansbury | The Clever Machine

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Read all of the posts by dustinstansbury on The Clever Machine

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