16. What happens when you increase the momentum in Adam algorithm (i.e. increasing B1)? What about B2? Recall that in Adam we have: M{t} + B,M{t-1} + (1 – B1)VJ(wlt-1}) st) + B2Stt-1} + (1 – 32)V J(wtt-1})2 wit} wit-1}_. |
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- Let S = {3n :neZ}.A recursive definition for the set S is: %3D Basis Step: 3 ES Recursive Step: If x E S then a +3 E S Prove by structural induction that for every x E S, x+x E S. Hint: Use the recursive definition of S to set up your proof by structural induction and use the definition S = {3n : n e Z*} in your proof. + Drag and drop an image or PDF file or click to browse...Suppose a candidate solution p, where p is a phenotype consisting of 4 vertices. Suppose that minimum fitness occurs when no pair of vertices in p are connected, and maximum fitness occurs when all pairs of vertices in p are connected. Write a pseudocode on how to calculate the fitness F of p.You are building a simulation and need to generate X ~ norm(506.5, 83.5725). Given the following U ~ unif[0,1], calculate the corresponding values of X: U = {0.8864,0.6067,0.366} Note: the following should help if you are using R. U: 0.8864, 0.6067, 0.366 Please enter your answers to four decimal places: U1= 0.8864 => X1 = U2=0.6067 => X2 = U3=0.366 => X3=
- Correct answer will be upvoted else downvoted. Computer science. You are given a grid a comprising of positive integers. It has n lines and m segments. Develop a framework b comprising of positive integers. It ought to have a similar size as a, and the accompanying conditions ought to be met: 1≤bi,j≤106; bi,j is a various of ai,j; the outright worth of the contrast between numbers in any nearby pair of cells (two cells that share a similar side) in b is equivalent to k4 for some integer k≥1 (k isn't really something similar for all sets, it is own for each pair). We can show that the appropriate response consistently exists. Input The primary line contains two integers n and m (2≤n,m≤500). Every one of the accompanying n lines contains m integers. The j-th integer in the I-th line is ai,j (1≤ai,j≤16). Output The output ought to contain n lines each containing m integers. The j-th integer in the I-th line ought to be bi,j.Consider the following recurrence algorithm Algorithm 1 REVERSE 1. function REVERSE(A)2. if |A| = 1 then3. return A4. else5. Let B and C be the first and second half of A6. return concatenate REVERSE(C) and REVERSE(B)7. end if8. end function Let T(n) be the running time of the algorithm on an instance of size n. Write down the recurrence relation for T(n) and solve itA graph is a collection of vertices and edges G(V, E). A weighted graph has weights (numbers, etc.) on every edge. A multigraph can have more than one edges between any vertices. Explain why a person should use a weighted graph instead of a multigraph. Give examples. An adjacency matrix might be a better choice for speeding up a program, however, it consumes huge memory for large graphs. How this situation can be improved? What programming constructs better suit graph representation? Explain with example
- You are given a N*N maze with a rat placed at maze[0][0]. Find whether any path exist that rat can follow to reach its destination i.e. maze[N-1][N-1]. Rat can move in any direction ( left, right, up and down).Value of every cell in the maze can either be 0 or 1. Cells with value 0 are blocked means rat cannot enter into those cells and those with value 1 are open.Input FormatLine 1: Integer NNext N Lines: Each line will contain ith row elements (separated by space)Output Format :The output line contains true if any path exists for the rat to reach its destination otherwise print false.Sample Input 1 :31 0 11 0 11 1 1Sample Output 1 :trueSample Input 2 :31 0 11 0 10 1 1Sample Output 2 : false Solution: //// public class Solution { public static boolean ratInAMaze(int maze[][]){ int n = maze.length; int path[][] = new int[n][n]; return solveMaze(maze, 0, 0, path); } public static boolean solveMaze(int[][] maze, int i, int j, int[][] path) {//…Implement an NxN jigsaw puzzle. Design the data structures and explain an algorithm to solve the puzzle. You can assume that you have a fi tsWi th method which, when passed two puzzle edges, returns true if the two edges belong togetherSorting objects in the real world https://docs.oracle.com/javase/8/docs/api/java/util/LinkedList.html There are 5000 people living in the town. Every day they have new COVID-19 cases. When people show symptom, they go to the hospital and put themselves in the waiting list for testing. A new person is added at the end of the list. Due to the lack of testing kit, all in the list cannot be tested. Hospital has to sort them and select a few. Since the elderly is very weak to the COVID-19, every midnight the doctors sort the people in the list by their age to decide who is taking the test for the next day depending on the availability of testing kit. Input to the program has the form where the first line indicates how many days they will do the operation. For each day, the input starts with the day number, along with the following patient list where each element represents the name of patients and the age. The input ends with the number of available testing kits. The output display, at…
- Let U = {1,2,3,4,5,6,7,8,9,10}....We can specify the PageRank algorithm's convergence threshold using proc networks. This figure has to be positive. Default value is 1E-9. When the difference between the PageRank scores of the current iteration and the previous iteration is less than or equal to the tolerance set, the PageRank algorithm ceases iterating. We can use the PAGERANKTOLERANCE= parameter to specify the convergence tolerance. Write The example code demonstrates how to calculate PageRank centrality using a proc network built on a directed graph with unweighted links.with n=6 and A=(3,5,4,1,3,2). Draw the corresponding walkthrough as shown