1. [10 points) For the following sets of two-dimensional points, (1) draw a sketch of how they wo...
1. [10 points) For the following sets of two-dimensional points, (1) draw a sketch of how they would be split into clusters by K-means for the given number of clusters and (2) indicate approximately where the resulting centroids would be. Assume that we are using the squared error objective function. If you think that there is more than one possible solution, then please indicate whether each solution is a global or local minimum. Note that the label of each diagram...
For the following sets of two-dimensional points, (1) provide a sketch of how they would be split into clusters by K-means for the given number of clusters and (2) indicate approximately where the resulting centroids would be. Assume that we are using the squared error objective function and random initialization of centroids. If you think that there is more than one possible solution, then please indicate whether each solution is a global or local minimum. Darker areas indicate higher density....
1) For the following set of two-dimensional points, draw a sketch of how they would be split into two clusters by K-means (when global minimum of SSE is achieved) and by Gaussian mixture model clustering. You can assume the density of points in the darker area is much higher than the density of points in the lighter area 2) Name one other clustering method that might be able to accurately capture the two clusters. 1) For the following set of...
Hierarchical clustering is sometimes used to generate K clusters, K > 1 by taking the clusters at the Kth level of the dendrogram. (Root is at level 1.) By looking at the clusters produced in this way, we can evaluate the behavior of hierarchical clustering on different types of data and clusters, and also compare hierarchical approaches to K-means. The following is a set of one-dimensional points: {6, 12, 18, 24, 30, 42, 48}. (a) For each of the following...
1 The following questions involve the two polar curves: Sketch the curves and shade the region outside R and inside r Use a large size graph paper a l clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve b. Discuss the symmetry of each curve c. Calculate th e area for the region of overlap that you shaded and described in part a. Show all steps clearly and neatly....
3.Question for further thought Imagine the two-dimensional space {0, 1, . . . , 10).(0, 1, . . . , 10) = (0,0), (0,1),(10, 10)J. We locate a mouse on the (0,0) point and we locate a piece of cheese on the (10, 10) point. We somehow make sure that the mouse will reach the cheese with 20 steps, by either going steps 'right' (for example, from (0, 0) to (0,1)) or by going steps 'up' (for example, from (0,0)...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that eive complete cycle for each curve. a b. Discuss the symmetry of each curve. ulate the area for the region of overlap that you shaded and described in part a. Show all steps...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 6 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve. Discuss the symmetry of each curve. a. b. Calculate the area for the region of overlap that you shaded and described in part a. Show all...
"A Watch t use 0.62/1.25 points 1 Prefous Anewe LaPCalc 10 B.018 Consider the follewing. x-3 cos 0 y5 sin 8 (a) Sketch the curve represented by the parametric equations (indicate the orlentation of the curve) y 10 -2 21 2 -10 21 -10 (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve Adjust the domain of the resuting rectangular eqvation if necessary oed Heln? 0/1.25 points | Previous Answers LarPCalc8 10.6.042 6. Find...
1. Interpreting the Table 1. For the following exercise, reference Figure 13.8 in your textbook or e-book, and watch the video for that figure in the e-book, For each labelled proton, indicate the ppm range you would expect to find it in for an NMR spectrum. Don't over-think it, just use the chart at this point (Note: In many cases, especially in biochemistry, there will be many complicating factors - here we are just looking at the simple model). CH...