Questions tagged [hinge-loss]

I am currently studying the textbook Neural Networks and Deep Learning by Charu C. Aggarwal. Chapter 1.2.1.2 Relationship with Support Vector Machines says the following: The perceptron criterion is a shifted version of the hinge-loss used in…

I came across the hinge loss function for training a neural network model, but I did not know the analytical form for the same. I can write the mean squared error loss function (which is more often used for regression) as $$\sum\limits_{i=1}^{N}(y_i…

In a course that I am attending, the cost function of a support vector machine is given by $$J(\theta)=\sum_{i=1}^{m} y^{(i)} \operatorname{cost}_{1}\left(\theta^{T} x^{(i)}\right)+\left(1-y^{(i)}\right) \operatorname{cost}_{0}\left(\theta^{T}…

I'm working over a task of estimating sparse label proportions, where the target is probability distribution $\textbf{q} \in \Delta^{K-1}$ and $\Delta^{K-1} := \{\textbf{p} \in \mathbb{R}^K \, | \, p_1 + \dots + p_K = 1 \}$ and the support is…