Category: Machine Learning

GRADIENT DESCENT 1. Mathematical Introduction. Consider a function $y=f(x_1, \ldots, x_n)$ evatuated at a point P:$x_1^0, \ldots, x_n^0$: \begin{eqnarray} y^0=f(x_1^0, \ldots, x_n^0) \end{eqnarray} Let us…

The RANSAC (Random Sample Consensus) algorithm is a robust estimation method used to fit a model to data that contains a significant number of outliers.…

\begin{eqnarray} C=\sum_{i=1}^N (a_1 x_1^i  + \ldots + a_n x_n^i + b – y^i)^2 + \lambda (a_1^2 + a_2^2 + \ldots + a_n^2 + b^2 )…

\begin{eqnarray} C=\sum_{i=1}^N (a_1 x_1^i  + \ldots + a_n x_n^i + b – y^i)^2 \end{eqnarray} \begin{eqnarray} \frac {\partial C} {\partial a_m} =2\sum_{i=1}^N (a_1 x_1^i  + \ldots…