Homework Answers
code:
import numpy as np
def np1(n):
#getting values from 0 to n^2-1
#and then changing shape of array to matrix with nxn dimensions
res = np.arange(n*n).reshape(n,n)
return res
print(np1(2))
print(np1(3))
Add Answer to:
Problem 5 (5 points) Given an integer number, n, create a n by n matrix that...
import numpy as np from scipy.special import comb def cumulative_comb_with_repetition(n, k): """ Compute the number of...
import numpy as np
from scipy.special import comb
def cumulative_comb_with_repetition(n, k):
"""
Compute the number of possible non-negative, integer solutions
to
x1 + x2 + ... + xk <= n.
We will use this function to compute the dimension
of order k polynomial feature vector
Args:
n: integer, the number of "balls" or "stars"
k: integer, the number of "urns" or "bars"
Returns: the total number of combinations, integer.
"""
# your code below
# your code above...
Before you start For this homework, we will need to import some libraries. You need to...
Before you start For this homework, we will need to import some libraries. You need to execute the following cell only once; you don't need to copy this in every cell you run. In [ ]: import pandas import numpy from urllib.request import urlretrieve from matplotlib import pyplot %matplotlib inline #This library is needed for testing from IPython.display import set_matplotlib_close set_matplotlib_close(False) Introduction In this homework, you will work with data from the World Bank. The subject of study is...
def stochastic_gradient_descent(feature_matrix, label, learning_rate = 0.05, epoch = 1000): """ Implement gradient descent algorithm for regression....
def stochastic_gradient_descent(feature_matrix, label,
learning_rate = 0.05, epoch = 1000):
"""
Implement gradient descent algorithm for regression.
Args:
feature_matrix - A numpy matrix describing the given data, with
ones added as the first column. Each row
represents a single data point.
label - The correct value of response variable, corresponding to
feature_matrix.
learning_rate - the learning rate with default value 0.5
epoch - the number of iterations with default value 1000
Returns: A numpy array for the...
def gradient_descent(feature_matrix, label, learning_rate = 0.05, epoch = 1000): """ Implement gradient descent algorithm for regression....
def gradient_descent(feature_matrix, label, learning_rate =
0.05, epoch = 1000):
"""
Implement gradient descent algorithm for regression.
Args:
feature_matrix - A numpy matrix describing the given data, with
ones added as the first column. Each row
represents a single data point.
label - The correct value of response variable, corresponding to
feature_matrix.
learning_rate - the learning rate with default value 0.5
epoch - the number of iterations with default value 1000
Returns: A numpy array for the...
Given an integer N as input, write a program to check whether Least Significant Bit (LSB)...
Given an integer N as input, write a program to check whether Least Significant Bit (LSB) of a number is set or not. Use bitwise operator to solve the problem. Your code should NOT use conditional statement nor loop strucutre. Input: 5 where: First line represents the integer N. Output: Yes Here binary representation of 5 is 0101 and LSB is 1. Assumption: Value of N can be in the range 0 to 10000?
IN PYHTON CODE Question #3 Produce a function prime_factors.dict that has one integer variable n that...
IN PYHTON CODE
Question #3 Produce a function prime_factors.dict that has one integer variable n that is assumed to be greater than 1. The function will return a dictionary with keys the integers from 2 to n, inclusive, and with values the set of prime factors of each key. So, the command prime_factors.dict (8) will return the dictionary 2 123,3: 3),4 2),5 (53,6 2,3),7:7),8 {2)) Note that even though the prime number 2 appears twice in the prime fac- torization...
Question A matrix of dimensions m × n (an m-by-n matrix) is an ordered collection of m × n elemen...
Question A matrix of dimensions m × n (an m-by-n matrix) is an ordered collection of m × n elements. which are called eernents (or components). The elements of an (m × n)-dimensional matrix A are denoted as a,, where 1im and1 S, symbolically, written as, A-a(1,1) S (i.j) S(m, ). Written in the familiar notation: 01,1 am Gm,n A3×3matrix The horizontal and vertical lines of entries in a matrix are called rows and columns, respectively A matrix with the...
Use R programming to solve Q2. A matrix operator H(G; k) on a pxp symmetric matrix G (iy)- with a positive integer parameter k (k < p) yields another p×p symmetric matrix H = (hij 1 with i=k,j...
Use R programming to solve
Q2. A matrix operator H(G; k) on a pxp symmetric matrix G (iy)- with a positive integer parameter k (k < p) yields another p×p symmetric matrix H = (hij 1 with i=k,j = k; (a) Use one single loop to construct the function H(G; k) in R (b) Generate a random matrix X of dimension 7x5, each element of which is id from N(0,1). Use the function H(G; k constructed in (a) to compute...
Create a 1000 x 4 matrix, with the first column switching between 0,1 (starting with 1), and the ...
Solve using Matlab. Provide actual code.
Create a 1000 x 4 matrix, with the first column switching between 0,1 (starting with 1), and the second column repeating itself in cycles of 1-2-3-4-5, the third column consisting of only 4's and the fourth column repeating itself in cycles of 0-1-2-3
Create a 1000 x 4 matrix, with the first column switching between 0,1 (starting with 1), and the second column repeating itself in cycles of 1-2-3-4-5, the third column consisting of...
4A. Write a CUDA host program that reads a character type matrix A and integer type matrix B of size mxn. It produces an output string STR such that, every character of A is repeated n times (where n...
4A. Write a CUDA host program that reads a character type matrix A and integer type matrix B of size mxn. It produces an output string STR such that, every character of A is repeated n times (where n is the integer value in matrix B which is having the same index as that of the character taken in A). Solve this using 1D Block. Example: 1 2 4 3 e X a M Output String STR: pCCaaaaPPPeeXXXXaaaMM 4B. Write...
import numpy as np
from scipy.special import comb
def cumulative_comb_with_repetition(n, k):
"""
Compute the number of possible non-negative, integer solutions
to
x1 + x2 + ... + xk <= n.
We will use this function to compute the dimension
of order k polynomial feature vector
Args:
n: integer, the number of "balls" or "stars"
k: integer, the number of "urns" or "bars"
Returns: the total number of combinations, integer.
"""
# your code below
# your code above...
def stochastic_gradient_descent(feature_matrix, label,
learning_rate = 0.05, epoch = 1000):
"""
Implement gradient descent algorithm for regression.
Args:
feature_matrix - A numpy matrix describing the given data, with
ones added as the first column. Each row
represents a single data point.
label - The correct value of response variable, corresponding to
feature_matrix.
learning_rate - the learning rate with default value 0.5
epoch - the number of iterations with default value 1000
Returns: A numpy array for the...
def gradient_descent(feature_matrix, label, learning_rate =
0.05, epoch = 1000):
"""
Implement gradient descent algorithm for regression.
Args:
feature_matrix - A numpy matrix describing the given data, with
ones added as the first column. Each row
represents a single data point.
label - The correct value of response variable, corresponding to
feature_matrix.
learning_rate - the learning rate with default value 0.5
epoch - the number of iterations with default value 1000
Returns: A numpy array for the...
IN PYHTON CODE
Question #3 Produce a function prime_factors.dict that has one integer variable n that is assumed to be greater than 1. The function will return a dictionary with keys the integers from 2 to n, inclusive, and with values the set of prime factors of each key. So, the command prime_factors.dict (8) will return the dictionary 2 123,3: 3),4 2),5 (53,6 2,3),7:7),8 {2)) Note that even though the prime number 2 appears twice in the prime fac- torization...
Question A matrix of dimensions m × n (an m-by-n matrix) is an ordered collection of m × n elements. which are called eernents (or components). The elements of an (m × n)-dimensional matrix A are denoted as a,, where 1im and1 S, symbolically, written as, A-a(1,1) S (i.j) S(m, ). Written in the familiar notation: 01,1 am Gm,n A3×3matrix The horizontal and vertical lines of entries in a matrix are called rows and columns, respectively A matrix with the...
Use R programming to solve
Q2. A matrix operator H(G; k) on a pxp symmetric matrix G (iy)- with a positive integer parameter k (k < p) yields another p×p symmetric matrix H = (hij 1 with i=k,j = k; (a) Use one single loop to construct the function H(G; k) in R (b) Generate a random matrix X of dimension 7x5, each element of which is id from N(0,1). Use the function H(G; k constructed in (a) to compute...
Solve using Matlab. Provide actual code.
Create a 1000 x 4 matrix, with the first column switching between 0,1 (starting with 1), and the second column repeating itself in cycles of 1-2-3-4-5, the third column consisting of only 4's and the fourth column repeating itself in cycles of 0-1-2-3
Create a 1000 x 4 matrix, with the first column switching between 0,1 (starting with 1), and the second column repeating itself in cycles of 1-2-3-4-5, the third column consisting of...
4A. Write a CUDA host program that reads a character type matrix A and integer type matrix B of size mxn. It produces an output string STR such that, every character of A is repeated n times (where n is the integer value in matrix B which is having the same index as that of the character taken in A). Solve this using 1D Block. Example: 1 2 4 3 e X a M Output String STR: pCCaaaaPPPeeXXXXaaaMM 4B. Write...
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