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Loss Function-Hinge Loss

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In machine learning,for training classifiers there one loss function which is called hinge loss. I've read numerous articles and blog posts about the Hinge Loss and how it works. However, I feel that the most of them are rather ambiguous and do not provide a clear explanation of what the function performs and what it is. Instead, most of the time, an illegible graph is displayed, leaving the reader perplexed. I intend to simplify the function in this essay, both aesthetically and mathematically, to assist you obtain a firm understanding of the cost function. But first, let's brush up on your knowledge of cost functions! The hinge loss is a loss function that is commonly used for training classifiers such as the SVM. Here's a great illustration of what it looks like. The x-axis shows any one instance's distance from the boundary, while the y-axis reflects the size of the loss, or penalty, that the function will experience based on its distance.