Are neural networks statistical jargon?
This paperexplains what neural networksare, translates neural network jargon into statistical jargon, and shows the relationships between neural networks and statistical models such as:
- generalized linear models
- maximum redundancy analysis
- projection pursuit
- and cluster analysis
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Linear Regression Using Machine Learning
From the machine learning point of view, predictive models are considered too complicated or computationally intensive to solve mathematically.
Instead, very small steps are taken on portions of the data and iteratively cycled through to derive the solution.
We’ll walk through the solution to linear regression using machine learning, Before we proc.
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Logistic Regression in Statistics
We can generalize the above linear statistical model, with Normal (Gaussian) error terms, via mathematical transformations into the generalized linear model (GLM) in statistics, allowing regression, estimator tests, and analysis of the exponential family of conditional distributions of y given X, such as Binomial, Multinomial, Exponential, Gamma, a.
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Logistic Regression with A Neural Network
The idea of neural networks came from the concept of how neurons work in living animals: a nerve signal is either amplified or dampened by each neuron the signal passes through, and it is the sum of multiple neurons in series and in parallel, each filtering multiple inputs and feeding that signal to additional neurons to eventually provide the desi.
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Multinomial Logistic Regression
Previously weused the generalized linear model in statistics to expand linear regression to logistic regression for a binomial response.
We can do a similar transformation for situations where the response is multinomial, i.e., multiclass.
The key difference is that instead of using the sigmoid activation function to provide a probability to the pr.
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Nonlinear Applications of Neural Networks
As mentioned earlier, the generalized linear model (GLM) in statistics allows regression of the exponential family of Binomial and Multinomial distributions, providing prediction confidence intervals and other statistical tests based on theory.
But how do we get confidence intervals for predictions and other statistics when the neural network is ge.
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Statistics and Machine Learning
Statistics is the mathematical study of data.
Using statistics, an interpretable statistical model is created to describe the data, and this model can then be used to infer something about the data or even to predict values that are not present in the sample data used to create the model.
The ‘accuracy’ of prediction is not the focus of statistics..