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Self-Organizing maps - UCLA Human Genetics
... SOM Algorithm • Prototype mj, j =1, …, K, are initialized • Each observation xi is processed one at a time to find the closest prototype mj in Euclidean distance in the p-dimensional space • All neighbors of mj, say mk, move toward xi as mk mk + a (xi – mk) • Neighbors are all mk such that the d ...
... SOM Algorithm • Prototype mj, j =1, …, K, are initialized • Each observation xi is processed one at a time to find the closest prototype mj in Euclidean distance in the p-dimensional space • All neighbors of mj, say mk, move toward xi as mk mk + a (xi – mk) • Neighbors are all mk such that the d ...
Presentation13
... B are said to be equal if A and B have the same size and corresponding elements are equal; that is A and B є Mmxn(F) and A = [aij ]; B = [bij ], with aij = bij for 1<= i <= m; 1<= j<= n. DEFINITION:(Addition of matrices) Let A = [aij ] and B =[bij] be of the same size. Then A + B is the matrix obtai ...
... B are said to be equal if A and B have the same size and corresponding elements are equal; that is A and B є Mmxn(F) and A = [aij ]; B = [bij ], with aij = bij for 1<= i <= m; 1<= j<= n. DEFINITION:(Addition of matrices) Let A = [aij ] and B =[bij] be of the same size. Then A + B is the matrix obtai ...
8. Linear mappings and matrices A mapping f from IR to IR is called
... We show at the example of a shear mapping that such a mapping is completely determined (for all input vectors) if its effect on the vectors of the standard basis are known: Example Let f be the mapping from IR2 to IR2 which performs a shear along the x axis, i.e., the image of each point under f can ...
... We show at the example of a shear mapping that such a mapping is completely determined (for all input vectors) if its effect on the vectors of the standard basis are known: Example Let f be the mapping from IR2 to IR2 which performs a shear along the x axis, i.e., the image of each point under f can ...
section 1.5-1.7
... If A and B are symmetric matrices with the same size, and if k is any scalar, then: a) AT is symmetric. b) A+B and A-B are symmetric. c) kA is symmetric. Note: in general, the product of symmetric matrices is not symmetric. If A and B are matrices such that AB=BA, then we say A and B commute. The pr ...
... If A and B are symmetric matrices with the same size, and if k is any scalar, then: a) AT is symmetric. b) A+B and A-B are symmetric. c) kA is symmetric. Note: in general, the product of symmetric matrices is not symmetric. If A and B are matrices such that AB=BA, then we say A and B commute. The pr ...