2 2 votes Consider the following binary classification dataset with two features $f_1$ and $f_2$. The data points given the labels follow the Gaussian distribution. The dataset is given as\[\begin{array}{|l|l|l|}\hlinef_1 & f_2 & \text{label } y \\\hline0.5 & 1.3 & 1 \\0.7 & 1.1 & 1 \\1.3 & 2.0 & 0 \\2.3 & 2.4 & 0 \\\hline\end{array}\]Based on this data, what is the estimated mean vector for the class with label $\mathbf{y}=0$, denoted as $\hat{\mu}_0$ ?$(1.8, 2.2)$ $(0.6,1.2)$ $(2.0,2.0)$ $(0.8,1.2)$ Machine Learning goclasses machine-learning goclasses-da-dpp goclasses-da-dpp-day-21 goclasses-ml-practice-questions + – GO Classes 368 views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
0 0 votes $\begin{aligned} \hat{\mu}_0 & =\frac{\sum_{i=1}^n \mathbb{1}\left(y_i=0\right) x_i}{\sum_{i=1}^n \mathbb{1}\left(y_i=0\right)} \\ & =\frac{(1.3,2.0)+(2.3,2.4)}{2} \\ & =(1.8,2.2)\end{aligned}$ GO Classes answered Oct 6, 2025 GO Classes comment Share Follow 0 reply Please log in or register to add a comment.
