NumPy programmā Python | 2. komplekts (papildu)
NumPy programmā Python | 1. komplekts (ievads) Šajā rakstā ir apskatītas dažas vairāk un nedaudz uzlabotas metodes, kas pieejamas NumPy.
- masīva ranga noteicošā izsekošana utt.
- savas vērtības vai matricas
- matricas un vektoru reizinājums (punkts iekšējais ārējais utt. reizinājums) matricas kāpināšana
- atrisiniet lineāros vai tenzoru vienādojumus un daudz ko citu!
- http://scipy.github.io/old-wiki/pages/EricsBroadcastingDoc
- https://numpy.org/doc/stable/reference/arrays.datetime.html#arrays-dtypes-dateunits
- https://numpy.org/doc/stable/reference/routines.linalg.html
- https://glowingpython.blogspot.com/2012/03/linear-regression-with-numpy.html
import numpy as np a = np . array ([[ 1 2 ] [ 3 4 ]]) b = np . array ([[ 5 6 ] [ 7 8 ]]) # vertical stacking print ( 'Vertical stacking: n ' np . vstack (( a b ))) # horizontal stacking print ( ' n Horizontal stacking: n ' np . hstack (( a b ))) c = [ 5 6 ] # stacking columns print ( ' n Column stacking: n ' np . column_stack (( a c ))) # concatenation method print ( ' n Concatenating to 2nd axis: n ' np . concatenate (( a b ) 1 ))
Output: Vertical stacking: [[1 2] [3 4] [5 6] [7 8]] Horizontal stacking: [[1 2 5 6] [3 4 7 8]] Column stacking: [[1 2 5] [3 4 6]] Concatenating to 2nd axis: [[1 2 5 6] [3 4 7 8]]
import numpy as np a = np . array ([[ 1 3 5 7 9 11 ] [ 2 4 6 8 10 12 ]]) # horizontal splitting print ( 'Splitting along horizontal axis into 2 parts: n ' np . hsplit ( a 2 )) # vertical splitting print ( ' n Splitting along vertical axis into 2 parts: n ' np . vsplit ( a 2 ))
Output: Splitting along horizontal axis into 2 parts: [array([[1 3 5] [2 4 6]]) array([[ 7 9 11] [ 8 10 12]])] Splitting along vertical axis into 2 parts: [array([[ 1 3 5 7 9 11]]) array([[ 2 4 6 8 10 12]])]
A(2-D array): 4 x 3 B(1-D array): 3 Result : 4 x 3A(4-D array): 7 x 1 x 6 x 1 B(3-D array): 3 x 1 x 5 Result : 7 x 3 x 6 x 5But this would be a mismatch:A: 4 x 3 B: 4The simplest broadcasting example occurs when an array and a scalar value are combined in an operation. Consider the example given below: PythonOutput:import numpy as np a = np . array ([ 1.0 2.0 3.0 ]) # Example 1 b = 2.0 print ( a * b ) # Example 2 c = [ 2.0 2.0 2.0 ] print ( a * c )[ 2. 4. 6.] [ 2. 4. 6.]We can think of the scalar b being stretched during the arithmetic operation into an array with the same shape as a. The new elements in b as shown in above figure are simply copies of the original scalar. Although the stretching analogy is only conceptual. Numpy is smart enough to use the original scalar value without actually making copies so that broadcasting operations are as memory and computationally efficient as possible. Because Example 1 moves less memory (b is a scalar not an array) around during the multiplication it is about 10% faster than Example 2 using the standard numpy on Windows 2000 with one million element arrays! The figure below makes the concept more clear:In above example the scalar b is stretched to become an array of with the same shape as a so the shapes are compatible for element-by-element multiplication. Now let us see an example where both arrays get stretched. Python
Output:import numpy as np a = np . array ([ 0.0 10.0 20.0 30.0 ]) b = np . array ([ 0.0 1.0 2.0 ]) print ( a [: np . newaxis ] + b )[[ 0. 1. 2.] [ 10. 11. 12.] [ 20. 21. 22.] [ 30. 31. 32.]]Dažos gadījumos apraide izstiepj abus masīvus, veidojot izvades masīvu, kas ir lielāks par kādu no sākotnējiem masīviem.
Darbs ar datumu un laiku: Numpy has core array data types which natively support datetime functionality. The data type is called datetime64 so named because datetime is already taken by the datetime library included in Python. Consider the example below for some examples: PythonOutput:import numpy as np # creating a date today = np . datetime64 ( '2017-02-12' ) print ( 'Date is:' today ) print ( 'Year is:' np . datetime64 ( today 'Y' )) # creating array of dates in a month dates = np . arange ( '2017-02' '2017-03' dtype = 'datetime64[D]' ) print ( ' n Dates of February 2017: n ' dates ) print ( 'Today is February:' today in dates ) # arithmetic operation on dates dur = np . datetime64 ( '2017-05-22' ) - np . datetime64 ( '2016-05-22' ) print ( ' n No. of days:' dur ) print ( 'No. of weeks:' np . timedelta64 ( dur 'W' )) # sorting dates a = np . array ([ '2017-02-12' '2016-10-13' '2019-05-22' ] dtype = 'datetime64' ) print ( ' n Dates in sorted order:' np . sort ( a ))Date is: 2017-02-12 Year is: 2017 Dates of February 2017: ['2017-02-01' '2017-02-02' '2017-02-03' '2017-02-04' '2017-02-05' '2017-02-06' '2017-02-07' '2017-02-08' '2017-02-09' '2017-02-10' '2017-02-11' '2017-02-12' '2017-02-13' '2017-02-14' '2017-02-15' '2017-02-16' '2017-02-17' '2017-02-18' '2017-02-19' '2017-02-20' '2017-02-21' '2017-02-22' '2017-02-23' '2017-02-24' '2017-02-25' '2017-02-26' '2017-02-27' '2017-02-28'] Today is February: True No. of days: 365 days No. of weeks: 52 weeks Dates in sorted order: ['2016-10-13' '2017-02-12' '2019-05-22']Lineārā algebra programmā NumPy: NumPy lineārās algebras modulis piedāvā dažādas metodes, lai piemērotu lineāro algebru jebkuram nelīdzenam masīvam. Jūs varat atrast:Consider the example below which explains how we can use NumPy to do some matrix operations. Python
Output:import numpy as np A = np . array ([[ 6 1 1 ] [ 4 - 2 5 ] [ 2 8 7 ]]) print ( 'Rank of A:' np . linalg . matrix_rank ( A )) print ( ' n Trace of A:' np . trace ( A )) print ( ' n Determinant of A:' np . linalg . det ( A )) print ( ' n Inverse of A: n ' np . linalg . inv ( A )) print ( ' n Matrix A raised to power 3: n ' np . linalg . matrix_power ( A 3 ))Rank of A: 3 Trace of A: 11 Determinant of A: -306.0 Inverse of A: [[ 0.17647059 -0.00326797 -0.02287582] [ 0.05882353 -0.13071895 0.08496732] [-0.11764706 0.1503268 0.05228758]] Matrix A raised to power 3: [[336 162 228] [406 162 469] [698 702 905]]Let us assume that we want to solve this linear equation set:x + 2*y = 8 3*x + 4*y = 18This problem can be solved using linalg.atrisināt method as shown in example below: PythonOutput:import numpy as np # coefficients a = np . array ([[ 1 2 ] [ 3 4 ]]) # constants b = np . array ([ 8 18 ]) print ( 'Solution of linear equations:' np . linalg . solve ( a b ))Solution of linear equations: [ 2. 3.]Finally we see an example which shows how one can perform linear regression using least squares method. A linear regression line is of the form w1 x + w 2 = y, un tā ir līnija, kas samazina attāluma kvadrātu summu no katra datu punkta līdz līnijai. Tātad, ņemot vērā n datu pārus (xi yi), mūsu meklētie parametri ir w1 un w2, kas samazina kļūdu:Let us have a look at the example below: Python
Output:import numpy as np import matplotlib.pyplot as plt # x co-ordinates x = np . arange ( 0 9 ) A = np . array ([ x np . ones ( 9 )]) # linearly generated sequence y = [ 19 20 20.5 21.5 22 23 23 25.5 24 ] # obtaining the parameters of regression line w = np . linalg . lstsq ( A . T y )[ 0 ] # plotting the line line = w [ 0 ] * x + w [ 1 ] # regression line plt . plot ( x line 'r-' ) plt . plot ( x y 'o' ) plt . show ()Tātad tas noved pie šīs NumPy apmācības sērijas noslēguma. NumPy ir plaši izmantota vispārējas nozīmes bibliotēka, kas ir daudzu citu skaitļošanas bibliotēku pamatā, piemēram, scipy scikit-learn tensorflow matplotlib opencv utt. Pamatzināšanas par NumPy palīdz efektīvi strādāt ar citām augstāka līmeņa bibliotēkām! Atsauces:
Izveidojiet viktorīnu
Jums Varētu Patikt
Top Raksti
Kategorija
Interesanti Raksti
![]()
![]()
![]()
![]()
![]()
![]()
In above example the scalar b is stretched to become an array of with the same shape as a so the shapes are compatible for element-by-element multiplication. Now let us see an example where both arrays get stretched. Python
Dažos gadījumos apraide izstiepj abus masīvus, veidojot izvades masīvu, kas ir lielāks par kādu no sākotnējiem masīviem.
Let us have a look at the example below: Python
Tātad tas noved pie šīs NumPy apmācības sērijas noslēguma. NumPy ir plaši izmantota vispārējas nozīmes bibliotēka, kas ir daudzu citu skaitļošanas bibliotēku pamatā, piemēram, scipy scikit-learn tensorflow matplotlib opencv utt. Pamatzināšanas par NumPy palīdz efektīvi strādāt ar citām augstāka līmeņa bibliotēkām! Atsauces: