Ridge regression consists of nding the w that minimizes ky xwk2 2 + kwk2 2, where the rst term corresponds to the squared error in the regression estimation and the second is a regularization term. here, x 2 rnd; w 2 rd; y 2 rn. show that the optimal w is w = (xtx + y, when the @ @w of the loss function is zero.

What causes the formation of ocean currents?

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.

Which of the following describes how a microwave heats food