Consider the graph shown in Figure 9.1
(a) Calculate Laplacian quadratic forms of all the eigenvectors of the graph Laplacian.
(b) Calculate total variations of all the eigenvectors of the graph Laplacian.
(c) Compare results of parts (a) and (b).
(c) The Laplacian quadratic forms as well as the TV values of the eigenvectors increase with
the increase in corresponding eigenvalues.
You might also like to view...
Consider a set of documents. Assume that all documents have been normal- ized to have unit length of 1. What is the “shape” of a cluster that consists of all documents whose cosine similarity to a centroid is greater than some specified constant? In other words, cos(d, c) ? ?, where 0 < ? ? 1.
What will be an ideal response?
Transferring data from disk to memory is as fast as transferring data from memory to the processor.
Answer the following statement true (T) or false (F)
The 1 in the expression *(gPtr + 1) is a(n) ____.
a. pointer b. initializer c. offset d. register
Answer the following questions true (T) or false (F)
1. A local reference variable has a default value of null. 2. In Java, the programmer must explicitly deallocate memory. 3. Insertion at the end of a linear linked list is a special case.