Load the Morse data for the letters a-e. The experimental distance matrix was determined to be...

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Load the Morse data for the letters a-e. The experimental distance matrix was determined to be X= 0 177 177 177 166 188 0 96 79 166 177 96 0 144 177 166 79 144 0 177 188 166 177 177 0 Using X, a two-nearest neighbor algorithm the adjacency matrix was found to be 01010 10 11 1 = A 0 1 0 1 1 11100 01100 a) Construct a Laplacian eigenmaps embedding of this data. b) Construct a Laplacian eigenmaps embedding of this data with a heat kernel weighted adjacency matrix using T = 10,000. c) Combine these embeddings into a single plot labeling the letters. Load the Morse data for the letters a-e. The experimental distance matrix was determined to be X= 0 177 177 177 166 188 0 96 79 166 177 96 0 144 177 166 79 144 0 177 188 166 177 177 0 Using X, a two-nearest neighbor algorithm the adjacency matrix was found to be 01010 10 11 1 = A 0 1 0 1 1 11100 01100 a) Construct a Laplacian eigenmaps embedding of this data. b) Construct a Laplacian eigenmaps embedding of this data with a heat kernel weighted adjacency matrix using T = 10,000. c) Combine these embeddings into a single plot labeling the letters.

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To construct a Laplacian eigenmaps embedding for the given data you will need to perform the following steps a Construct a Laplacian eigenmap embeddin... View the full answer