Create a random number generation algorithm using a distribution represented by a finite series of weights. (Wi N for I = 0,... (n 1) 1 n1 i=0 Wi) sequence of n weights W representing the distribution out: Index r was chosen at random in accordance with W (0 r m 1)
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Create a random number generation
(Wi N for I = 0,... (n 1) 1 n1 i=0 Wi) sequence of n weights W representing the distribution
out: Index r was chosen at random in accordance with W (0 r m 1)
Step by step
Solved in 2 steps
- Correct answer will be upvoted else downvoted. Computer science. Allow us to signify by d(n) the amount of all divisors of the number n, for example d(n)=∑k|nk. For instance, d(1)=1, d(4)=1+2+4=7, d(6)=1+2+3+6=12. For a given number c, track down the base n to such an extent that d(n)=c. Input The principal line contains one integer t (1≤t≤104). Then, at that point, t experiments follow. Each experiment is characterized by one integer c (1≤c≤107). Output For each experiment, output: "- 1" in case there is no such n that d(n)=c; n, in any case.Let n be a positive integer, and consider the following algorithm segment. for i := 1 to n for j := 1 to i [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i How many times will the inner loop be iterated when the algorithm is implemented and run?Write Algorithm to Generating a random number from a distribution described by a finite sequence of weights.in: sequence of n weights W describing the distribution (Wi ∈ N for i = 0, . . . , (n −1) ∧ 1 ≤ n−1 i=0 Wi)out: randomly selected index r according to W (0 ≤ r ≤ m − 1)
- Modeling the spread of a virus like COVID-19 using recursion. Let N = total population (assumed constant, disregarding deaths, births, immigration, and emigration). S n = number who are susceptible to the disease at time n (n is in weeks). I n = number who are infected (and contagious) at time n. R n = number who are recovered (and not contagiuous) at time n. The total population is divided between these three groups: N = S n + I n + R n There are several hidden assumptions here that may or may not apply to COVID-19, such as a recovered person is assumed to not be able to get the disease a second time, at least within the time window being examined. On week 0 (the start), you assume a certain small number of people have the infection (just to get things going). Everyone else is initially susceptible, and no one is recovered. There are two constants of interest: Let period = time period that it takes for an infected person to recover (recover meaning they become not infectious to…Write Algorithm for Generating a random number from a distribution described by a finite sequence of weights.in: sequence of n weights W describing the distribution (Wi ∈ N for i = 0, . . . , (n − 1) ∧ 1 ≤ n−1 i=0 Wi)out: randomly selected index r according to W (0 ≤ r ≤ m − 1)Suppose a Genetic Algorithm uses chromosomes of the form x=abcdef with a fixed length of six genes.Each gene can be any digit between 0 and 9 . Let the fitness of individual x be calculated as : f(x) =(a+b)-(c+d)-(e+f) And let the initial population consist of four individuals x1, ... ,x4 with the following chromosomes : x1 = 3 5 3 2 6 5, x2 = 9 8 0 1 2 2, x3 = 1 2 2 1 2 3, x4 = 7 9 2 3 1 1 1. 1.Evaluate the fitness of each individual, showing all your workings, and arrange them in order with the fittest first and the least fit last. 2. calculate the average fitness. 3. Perform the following crossover operations:a- Cross the fittest two individuals using one point crossover at the middle point.b- Cross the second and third fittest individuals using a two point crossover (points b and e). Suppose the new population consists of the four offspring individuals received by the crossover operations in the above question. Evaluate the fitness of the new population, showing all your…
- The following questions are independent. 1. A palindrome is a string that reads the same forward and backward. Using our algorithmic language, propose an algorithm that determines whether a string of n characters is a palindrome. 2. Let x be a real number, and n be an integer. Devise an algorithm that computes xn. [Hint: First, give a procedure for computing xn when n is nonnegative by successive multiplication by x, starting with 1 until we reach n. Then, extend this procedure and use the fact that x–n = 1/xn to compute xn when n is negative.] 3. The median of a set of integers is the middle element in the list when these integers are listed in increasing order. The mean of a set of integers is the sum of integers divided by the number of integers in the set. Write an algorithm that produces the maximum, median, mean, and minimum of a set of three integers. Answer only 2 question: The following questions are independent. 1. A palindrome is a string that reads the same forward and backward. Using our algorithmic language, propose an algorithm that determines whether a string of n characters is a palindrome. 2. Let x be a real number, and n be an integer. Devise an algorithm that computes xn. [Hint: First, give a procedure for computing xn when n is nonnegative by successive multiplication by x, starting with 1 until we reach n. Then, extend this procedure and use the fact that x–n = 1/xn to compute xn when n is negative.] 3. The median of a set of integers is the middle element in the list when these integers are listed in increasing order. The mean of a set of integers is the sum of integers divided by the number of integers in the set. Write an algorithm that produces the maximum, median, mean, and minimum of a set of three integers.The following questions are independent. 1. A palindrome is a string that reads the same forward and backward. Using our algorithmic language, propose an algorithm that determines whether a string of n characters is a palindrome. 2. Let x be a real number, and n be an integer. Devise an algorithm that computes xn. [Hint: First, give a procedure for computing xn when n is nonnegative by successive multiplication by x, starting with 1 until we reach n. Then, extend this procedure and use the fact that x–n = 1/xn to compute xn when n is negative.] 3. The median of a set of integers is the middle element in the list when these integers are listed in increasing order. The mean of a set of integers is the sum of integers divided by the number of integers in the set. Write an algorithm that produces the maximum, median, mean, and minimum of a set of three integers. Answer 2 and 3 questions
- The following questions are independent. 1. A palindrome is a string that reads the same forward and backward. Using our algorithmic language, propose an algorithm that determines whether a string of n characters is a palindrome. 2. Let x be a real number, and n be an integer. Devise an algorithm that computes xn. [Hint: First, give a procedure for computing xn when n is nonnegative by successive multiplication by x, starting with 1 until we reach n. Then, extend this procedure and use the fact that x–n = 1/xn to compute xn when n is negative.] 3. The median of a set of integers is the middle element in the list when these integers are listed in increasing order. The mean of a set of integers is the sum of integers divided by the number of integers in the set. Write an algorithm that produces the maximum, median, mean, and minimum of a set of three integers. Answer question 3 only with detailsThis chapter examines the techniques for mimicking a statistical distribution using computer-generated random numbers. Which of the following assertions suggests that a computer is capable of generating really random numbers that pass all standards for randomness? Is it beneficial to study random number generators and their implementation strategies?Computer Science A way to avoid overfitting in Deep Neural Networks is to add an additional term R to the loss function L (for example L can be the cross entropy loss) as follows: L(w) + λR(w). (1) You know that one choice for R is the L2 norm, i.e. R(w) = ||w||2 2 . One friend of yours from the School of Maths told you however that there’s no need to use squares (i.e. powers of two) and that you can achieve the same effect by using absolute values, i.e. the L1 norm: R(w) = ||w||1. Would you agree with him? i.e. is the use of the L2 norm equivalent to using the L1 norm for regularization purposes? Justify your answer
