Given an unlabeled dataset {x(1),...,x(m)}. The K-mean algorithm has been run with 40 different random initializations, and 40 different clusterings of the data have been Ex0 – µwl² to choose the best obtained. Describe how we should use m m clustering.
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Q: READ AND SOLVE VERY CAREFULLY WITH PYTHON thanks in advance Given a jungle matrix N*M: jungle = […
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Q: Let Tmn be a BTTB matrix with a generating function f(x, y) ∈ C2π×2π. Let λmin(Tmn) and λmax(Tmn)…
A: proof
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- Backtrack Search Algorithm Using Shortened Base ImagesInput: a group G with a basis B=[131,132...... 13k] and a strong generating set S; a decidable property P, the members of which form a subgroup;Output: a strong generating set relative to B for the subgroup K = H (P) ; procedure search(G: group; P: property; s: 1..k+l; 1: 1..k+l; varK: group); (* Search G (s) for elements fulfilling P in the subgroup K.The components of G (0 are known to fulfil P. *)Backtrack Search Algorithm Using Shortened Base ImagesInput: a group G with a basis B=[131,132...... 13k] and a strong generating set S; a decidable property P, the members of which form a subgroup;Output: a strong generating set relative to B for the subgroup K = H (P) ; procedure search(G: group; P: property; s: 1..k+l; 1: 1..k+l; varK: group); (* Search G (s) for elements fulfilling P in the subgroup K.The components of G (0 are known to fulfil P. *)Let Tmn be a BTTB matrix with a generating function f(x, y) ∈C2π×2π. Let λmin(Tmn) and λmax(Tmn) denote the smallest and largest eigenvaluesof Tmn, respectively. Then we havefmin ≤ λmin(Tmn) ≤ λmax(Tmn) ≤ fmax,where fmin and fmax denote the minimum and maximum values of f(x, y), respectively. In particular, if fmin > 0, then Tmn is positive definite.
- Create a R codeREAD AND SOLVE VERY CAREFULLY WITH PYTHONthanks in advance Given a jungle matrix N*M:jungle = [[1, 0, 0, 0],[1, 1, 0, 1],[0, 1, 0, 0],[1, 1, 1, 1,]]Where 0 means the block is dead end and 1 means the block can be used in the path from source to destination. Task: (Use Python)Starting at position (0, 0), the goal is to reach position (N-1, M-1).Your program needs to build and output the solution matrix, a 4*4 matrix with 1’s in positions used to get from the starting position (0,0) to the ending position (N-1, M-1) with the following constraints:- You can only move one space at a time.- You can only move in two directions: forward and down.- You can only pass thru spaces on the jungle matrix marked ‘1’If you cannot reach the ending position, print a message that you’re trapped in the jungle Algorithm:If destination is reached print the solution matrixElse Mark current cell in the solution matrix Move forward horizontally and recursively check if this leads to…Suppose that the maximum subarray sum (S) for A[0..k − 1] as well as the maximum sum for a subarray that ends at A[k − 1] (E) are known. Show how to extend S and E to include one more element A[k].