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- The structure of the FSM can also be interpreted as a model fora specific walking pattern in a square grid. Supplement it by introducing suitablefrequency counters so that it can be used for predicting the player’s movements.What kind of a software client interface should the FSM have? How can it be usedfor producing randomized square grid walks with respect to the model?It will simulate the diffusion of heatthrough a square metal plate. The plate starts off at 0 deg., but the 4 ×4 pixel square in the centeris kept at 100 deg.Now a cell in the interior has 4 neighbors: the upper, lower, left, and right neighbor. The updateformula for an interior point (other than the center square) is therefore given by:u′i,j = ui,j + k((ui,j+1 −ui,j ) + (ui,j−1 −ui,j ) + (ui−1,j −ui,j ) + (ui+1,j −ui,j ))= ui,j + k(ui,j+1 + ui,j−1 + ui−1,j + ui+1,j −4ui,j )The boundaries have to be updated separately using 8 different equations: 4 for each of the edges,and 4 for each corner. Here is the update formula for a cell on the top edge that is not on a corner:u′i,n−1 = ui,n−1 + k((ui,n−2 −ui,n−1) + (ui−1,n−1 −ui,n−1) + (ui+1,n−1 −ui,n−1))= ui,n−1 + k(ui,n−2 + ui−1,n−1 + ui+1,n−1 −3ui,n−1)Here is the update formula for a cell in the top left corner:u′0,n−1 = u0,n−1 + k((u0,n−2 −u0,n−1) + (u1,n−1 −u0,n−1))= u0,n−1 + k(u0,n−2 + u1,n−1 −2u0,n−1) Program:Write codes to implement particle swarm algorithm with population size of 3 (set initial positions and velocities to x-[3.3],x-[8,8].x [6,6],[1,1]') and = = @=0.9,₁ =c₂=2.
- Q4) Suppose that you form a low pass spatial filter that averages the 4-neighbors of a point (x, y) as the following: 1 80 y) =10 y +1) +flx + 1, y) +flx, y - 1) +flx - 1, y)] . (a) Prove that the transfer function of the filter is defined as: H 1 2mu o 2y (wv) = 3 [cos N cos N (b) Image g(x,y) is sharpened by the Laplacian operator H as: 8xy)=fixy)+Vf(x,y) 0 -1 0 H=|-1 8 -1 0 -1 0 Prove that: e 90,y) =10[r(xy) - £ F G | fix, v) is the mean of f(x,y) with its four neighboring pixelsWe have aquarium size 15 cm x 45 cm x 60 cm (L x W x H). Water must be replaced when: water level < 40 cm. Create proven Arduino with Tinkercad simulation on display LCD (include coding)?"""You are given an n x n 2D mat representing an image. Rotate the image by 90 degrees (clockwise). Follow up:Could you do this in-place?""" # clockwise rotate# first reverse up to down, then swap the symmetry# 1 2 3 7 8 9 7 4 1# 4 5 6 => 4 5 6 => 8 5 2# 7 8 9 1 2 3 9 6 3 def rotate(mat): if not mat: return mat mat.reverse() for i in range(len(mat)): for j in range(i): mat[i][j], mat[j][i] = mat[j][i], mat[i][j] return mat if __name__ == "__main__": mat = [[1, 2, 3], [4, 5, 6], [7, 8, 9]] print(mat) rotate(mat) print(mat).
- Find the total number Q of tunable parameters in a general L-hidden-layer neural network, in terms of variables expressed in the layer sizes below 1 layer_sizes= [N, U_1, ., U_L, C] (b) Based on your answer in part (a), explain how the input dimension N and number of data points P each contributes to Q. How is this different from kernel methodsAn input image to a Convolutional Neural Network has the size of 100 by 100 and the filter (kernel) has the size of 15 by 15. If we use "same" convolution method, with the stride size is 1, the padding size becomes ____?______ . Fill in the blank.Write Algorithm for Element from a Base ImageInput : a group G acting on f2 = { 1,2 ..... n };the base image [71, 72 ..... 7k[ of an element g of G;a base and strong generating set for G;Schreier vectors v (i) ,1 <_ i < k, for the stabiliser chain;Output : the element g = uk • Uk-1 X 9 9 9 X u 1;
- consider the spacecraft-orientation system described in Section 6.3. This network was constructed to learn the image of the space shuttle at 12 different orientations, producing the scaled sine and cosine of the angle between the reference position and the image position as output. Using our CPN algorithms,the training process for this application might have taken the following form:Give an NFA over a single letter alphabet that rejects some string, but the length of the shortest rejected string is strictly more than the number of states. (Hint: Build an NFA with seven states arranged in loops of length two and five. Assign start and final states so that the shortest rejected string is of length 9 = 2 * 5 − 1.)Here__Given an m x n 2D binary grid grid which represents a map of '1's (land) and '0's (water), return the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water. Example 1: Input: grid = [ ["1","1","1","1","0"], ["1","1","0","1","0"], ["1","1","0","0","0"], ["0","0","0","0","0"] ] Output: 1 Example 2: Input: grid = [ ["1","1","0","0","0"], ["1","1","0","0","0"], ["0","0","1","0","0"], ["0","0","0","1","1"] ] Output: 3.