Question 1

Consider a training dataset of $n$ points for a regression problem. Assume that the model is linear. Let $\mathbf{w}_1$ and $\mathbf{w}_2$ be the optimal weight vectors obtained from solving the following optimization problems. $$\mathbf{w}_1 = \underset{\mathbf{w}}{\arg\min} \ \sum_{i=1}^{n} (\mathbf{w}^T\mathbf{x}_i - y_i)^2$$ $$\mathbf{w}_2 = \underset{\mathbf{w}}{\arg\min} \ \sum_{i=1}^{n} (\mathbf{w}^T\mathbf{x}_i - y_i)^3$$ Choose the most appropriate answer. Figure from the original question paper Figure from the original question paper