k-suррlier рroblem Givеn аn intеgеr k, а sеt of m "suppliеrs" аnd n "consumеrs" аnd а...
k-suррlier рroblem Givеn аn intеgеr k, а sеt of m "suppliеrs" аnd n "consumеrs" аnd а mеtric defining distаnces betwееn аll thosе points, find a subsеt of аt most k suppliеrs such that the longеst distancе betwееn a consumеr аnd its closеst suppliеr is аs short аs possiblе. Dеsign and аnаlyzе a 3-approximаtion algorithm.
Homework Answers
There main scenario when back propogation dosen't work in when we in a neural network puts more than one linear regression function between each layer in the neural network and the input value at each layer is calculated by adding an additional layer of softmax function at the last layer in order to get the output y. We also know that y depends on x where 4 <=n<=100 the formula of softmax function. We apply back propogation technique to get the output in terms of 0 and 1 but in this case this technique fails due to the arrangement of layers where softmax function is used at last to find output values.
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k-suррlier рroblem
Givеn аn intеgеr k, а sеt of m "suppliеrs" аnd n "consumеrs" аnd а...
Rесаll thаt thе dynаmiс progrаmming аlgorithm for TSP tаkеs timе O(n22n) аnd spасе O(n2n). Supposе thе...
Rесаll thаt thе dynаmiс progrаmming аlgorithm for TSP tаkеs timе O(n22n) аnd spасе O(n2n). Supposе thе сonstаnt fасtors in thеsе running timеs аrе thаt it tаkеs n22n/1010 sесonds to run аn instаnсе of sizе n, аnd thаt it usеs 8n2n bytеs of mеmory. How big а problеm саn you solvе in аt most аn hour on а сomputеr with 4×109 bytеs of mеmory? Whаt is thе limiting fасtor for this сomputаtion, timе or mеmory?
9. [10 points) Consider the following algorithm: procedure Algorithm(n: positive integer; ddd: distinet integers) for k:=1 to n-1 for 1-1 to n-k print(k, I, di,da...-1,dn) if ds dti then interch...
9. [10 points) Consider the following algorithm: procedure Algorithm(n: positive integer; ddd: distinet integers) for k:=1 to n-1 for 1-1 to n-k print(k, I, di,da...-1,dn) if ds dti then interchange dy and d (a) Assume that this algorithm receives as input the integer n 6 and the input sequence 하하하하하하, Miss ^-ruteae rehen i12|3141516 Fill out the table below: ds ds (b) Assume that the algorithm receives the same input values as in part a). Once the algorithm finishes, what...
2 (25 pts). Let an algorithm has complexity S(n)=S(n-1)+f(n), where for k=1,2,3,... f(k)=k+k/3. Answer these two...
2 (25 pts). Let an algorithm has complexity S(n)=S(n-1)+f(n), where for k=1,2,3,... f(k)=k+k/3. Answer these two questions: (1) Find the closed form for S(n) if S(2)=1. (2) Prove by mathematical induction that the closed form you found is correct.
A spring is suspended vertically from a fixed support. The spring has spring constant k=24 N m −1 k=24 N m−1 . An object...
A spring is suspended vertically from a fixed support. The
spring has spring constant k=24 N m −1 k=24 N m−1 . An object of
mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m −1 s β N
m−1 s . Let y(t) y(t) be the displacement in metres at the end of
the spring below its equilibrium position, at time t...
for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m,...
for the specific random numbers n, m, and k obtained, an undirected graph Gn,m,k = (Vn,m, En,m,k) is defined as follows. Vn,m= {A | A is a subset of {1,2, .., n} and |A|= m}, E n,m,k={{A, B} | A∩B | = k} where | A | for the set A denotes the number of elements of A. (A) Illustrate G4,2.1. (B) Find the number of vertices and sides of G6,3,2. (C) Find the condition for n so that Gn,3,1...
The M/M/1 and M/M/1/K queuing system: Consider the M/M/1 and M/M/1/K queuing systems [see in class notes]. For the M/M/1...
The M/M/1 and M/M/1/K queuing system: Consider the M/M/1 and
M/M/1/K queuing systems [see in class notes]. For the M/M/1/K
system show that, for ρ < 1,
in class notes:
p" (1-p) п-0, 1,2, ..., К-1; р-— 1-р*а п, K+1 и N- Р_(К+1)pku К-+1 1-р*а 1-р M/M/1 Queuing System with Finite Capacity (M/M/1/K) Systems have a finite capacity for serving customers. The M/M/1 queuing system capable of supporting up to K customers is called an M/M/1/K queuing system. Arrivals at...
Prove that if k divides n and m (k, n, m ∈ Z), then k divides...
Prove that if k divides n and m (k, n, m ∈ Z), then k divides n − m. Please provide steps and explanation to get upvote
(25pts) You are given two sorted lists of size m and n. Give an O(log m...
(25pts) You are given two sorted lists of size m and n. Give an O(log m log n) time algorithm for computing the k-th smallest element in the union of the two lists Note that the only way you can access these values is through queries to the databases. Ina single query, you can specify a value k to one of the two databases, and the chosen database will return the k-th smallest value that it contains. Since queries are...
600 N 600 N 600 N 600 N 600 N B D 4 m 5000 C...
600 N 600 N 600 N 600 N 600 N B D 4 m 5000 C G 1000T 3000T 3000T E K L А 3 m C 3 m 3 m 3 m 3 m 3 m 1000 N 1000 N 1000 N 1000 N 1000 N 4000 N 4000 N
k=42, m=18 n=4 11. Let F:R → R be a function such that (t+m)(n+1) (n+ m...
k=42, m=18 n=4
11. Let F:R → R be a function such that (t+m)(n+1) (n+ m F(t) = for t <-m, f or-m <t<n. for n<t<k, for t > k. nA - 1 Find A and B knowing that F is the cumulative distribution function of a random variable X such that P(X = k) = . Please provide only the value of parameter B in the space specified below. ANSWER: B= Solution:
9. [10 points) Consider the following algorithm: procedure Algorithm(n: positive integer; ddd: distinet integers) for k:=1 to n-1 for 1-1 to n-k print(k, I, di,da...-1,dn) if ds dti then interchange dy and d (a) Assume that this algorithm receives as input the integer n 6 and the input sequence 하하하하하하, Miss ^-ruteae rehen i12|3141516 Fill out the table below: ds ds (b) Assume that the algorithm receives the same input values as in part a). Once the algorithm finishes, what...
2 (25 pts). Let an algorithm has complexity S(n)=S(n-1)+f(n), where for k=1,2,3,... f(k)=k+k/3. Answer these two questions: (1) Find the closed form for S(n) if S(2)=1. (2) Prove by mathematical induction that the closed form you found is correct.
A spring is suspended vertically from a fixed support. The
spring has spring constant k=24 N m −1 k=24 N m−1 . An object of
mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m −1 s β N
m−1 s . Let y(t) y(t) be the displacement in metres at the end of
the spring below its equilibrium position, at time t...
The M/M/1 and M/M/1/K queuing system: Consider the M/M/1 and
M/M/1/K queuing systems [see in class notes]. For the M/M/1/K
system show that, for ρ < 1,
in class notes:
p" (1-p) п-0, 1,2, ..., К-1; р-— 1-р*а п, K+1 и N- Р_(К+1)pku К-+1 1-р*а 1-р M/M/1 Queuing System with Finite Capacity (M/M/1/K) Systems have a finite capacity for serving customers. The M/M/1 queuing system capable of supporting up to K customers is called an M/M/1/K queuing system. Arrivals at...
(25pts) You are given two sorted lists of size m and n. Give an O(log m log n) time algorithm for computing the k-th smallest element in the union of the two lists Note that the only way you can access these values is through queries to the databases. Ina single query, you can specify a value k to one of the two databases, and the chosen database will return the k-th smallest value that it contains. Since queries are...
600 N 600 N 600 N 600 N 600 N B D 4 m 5000 C G 1000T 3000T 3000T E K L А 3 m C 3 m 3 m 3 m 3 m 3 m 1000 N 1000 N 1000 N 1000 N 1000 N 4000 N 4000 N
k=42, m=18 n=4
11. Let F:R → R be a function such that (t+m)(n+1) (n+ m F(t) = for t <-m, f or-m <t<n. for n<t<k, for t > k. nA - 1 Find A and B knowing that F is the cumulative distribution function of a random variable X such that P(X = k) = . Please provide only the value of parameter B in the space specified below. ANSWER: B= Solution:
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