computing a distance matrix without using scipy python












0















I want to understand a specific part of code which computes a distance matrix between two 2d. matrices.



the smarter and easiest way to do it is by using scipy like this code



import scipy
import scipy.spatial

D = scipy.spatial.distance.cdist(X_norm, X_norm)


​but there is an alternative way which i have a problem with to understand. It is this one



Dalt = np.sqrt(((X_norm ** 2).sum(axis=1).reshape((1, len(X_norm))) 
+ (X_norm ** 2).sum(axis=1).reshape((len(X_norm), 1))
- 2 * numpy.dot(X_norm, X_norm.T)) + 1e-7)

print(((Dalt - D) ** 2).mean())


What I actually do not understand is the last part when he finally add this part



+ le-7)









share|improve this question




















  • 1





    Backslash is the way to continue the expression on the next line without having an indentation error

    – Julien Rousé
    Nov 22 '18 at 16:42













  • see stackoverflow.com/q/53162/3729797

    – Julien Rousé
    Nov 22 '18 at 16:44











  • Thankx alot for you comment

    – Ahmed Mohamed
    Nov 22 '18 at 17:03











  • @AhmedMohamed, that + 1e-7 actually causes a small error and is not necessary. I'm not sure why the one who created that added that value. Usually, adding very small values is used to prevent computational errors however I could not identify the error they're trying to avoid in this case

    – jtitusj
    Nov 22 '18 at 18:22








  • 1





    Question has nothing to do with machine-learning or artificial-intelligence - kindly do not spam the tags (removed).

    – desertnaut
    Nov 24 '18 at 14:02
















0















I want to understand a specific part of code which computes a distance matrix between two 2d. matrices.



the smarter and easiest way to do it is by using scipy like this code



import scipy
import scipy.spatial

D = scipy.spatial.distance.cdist(X_norm, X_norm)


​but there is an alternative way which i have a problem with to understand. It is this one



Dalt = np.sqrt(((X_norm ** 2).sum(axis=1).reshape((1, len(X_norm))) 
+ (X_norm ** 2).sum(axis=1).reshape((len(X_norm), 1))
- 2 * numpy.dot(X_norm, X_norm.T)) + 1e-7)

print(((Dalt - D) ** 2).mean())


What I actually do not understand is the last part when he finally add this part



+ le-7)









share|improve this question




















  • 1





    Backslash is the way to continue the expression on the next line without having an indentation error

    – Julien Rousé
    Nov 22 '18 at 16:42













  • see stackoverflow.com/q/53162/3729797

    – Julien Rousé
    Nov 22 '18 at 16:44











  • Thankx alot for you comment

    – Ahmed Mohamed
    Nov 22 '18 at 17:03











  • @AhmedMohamed, that + 1e-7 actually causes a small error and is not necessary. I'm not sure why the one who created that added that value. Usually, adding very small values is used to prevent computational errors however I could not identify the error they're trying to avoid in this case

    – jtitusj
    Nov 22 '18 at 18:22








  • 1





    Question has nothing to do with machine-learning or artificial-intelligence - kindly do not spam the tags (removed).

    – desertnaut
    Nov 24 '18 at 14:02














0












0








0








I want to understand a specific part of code which computes a distance matrix between two 2d. matrices.



the smarter and easiest way to do it is by using scipy like this code



import scipy
import scipy.spatial

D = scipy.spatial.distance.cdist(X_norm, X_norm)


​but there is an alternative way which i have a problem with to understand. It is this one



Dalt = np.sqrt(((X_norm ** 2).sum(axis=1).reshape((1, len(X_norm))) 
+ (X_norm ** 2).sum(axis=1).reshape((len(X_norm), 1))
- 2 * numpy.dot(X_norm, X_norm.T)) + 1e-7)

print(((Dalt - D) ** 2).mean())


What I actually do not understand is the last part when he finally add this part



+ le-7)









share|improve this question
















I want to understand a specific part of code which computes a distance matrix between two 2d. matrices.



the smarter and easiest way to do it is by using scipy like this code



import scipy
import scipy.spatial

D = scipy.spatial.distance.cdist(X_norm, X_norm)


​but there is an alternative way which i have a problem with to understand. It is this one



Dalt = np.sqrt(((X_norm ** 2).sum(axis=1).reshape((1, len(X_norm))) 
+ (X_norm ** 2).sum(axis=1).reshape((len(X_norm), 1))
- 2 * numpy.dot(X_norm, X_norm.T)) + 1e-7)

print(((Dalt - D) ** 2).mean())


What I actually do not understand is the last part when he finally add this part



+ le-7)






python matrix matrix-multiplication scip






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 24 '18 at 14:01









desertnaut

17k63668




17k63668










asked Nov 22 '18 at 16:40









Ahmed MohamedAhmed Mohamed

62




62








  • 1





    Backslash is the way to continue the expression on the next line without having an indentation error

    – Julien Rousé
    Nov 22 '18 at 16:42













  • see stackoverflow.com/q/53162/3729797

    – Julien Rousé
    Nov 22 '18 at 16:44











  • Thankx alot for you comment

    – Ahmed Mohamed
    Nov 22 '18 at 17:03











  • @AhmedMohamed, that + 1e-7 actually causes a small error and is not necessary. I'm not sure why the one who created that added that value. Usually, adding very small values is used to prevent computational errors however I could not identify the error they're trying to avoid in this case

    – jtitusj
    Nov 22 '18 at 18:22








  • 1





    Question has nothing to do with machine-learning or artificial-intelligence - kindly do not spam the tags (removed).

    – desertnaut
    Nov 24 '18 at 14:02














  • 1





    Backslash is the way to continue the expression on the next line without having an indentation error

    – Julien Rousé
    Nov 22 '18 at 16:42













  • see stackoverflow.com/q/53162/3729797

    – Julien Rousé
    Nov 22 '18 at 16:44











  • Thankx alot for you comment

    – Ahmed Mohamed
    Nov 22 '18 at 17:03











  • @AhmedMohamed, that + 1e-7 actually causes a small error and is not necessary. I'm not sure why the one who created that added that value. Usually, adding very small values is used to prevent computational errors however I could not identify the error they're trying to avoid in this case

    – jtitusj
    Nov 22 '18 at 18:22








  • 1





    Question has nothing to do with machine-learning or artificial-intelligence - kindly do not spam the tags (removed).

    – desertnaut
    Nov 24 '18 at 14:02








1




1





Backslash is the way to continue the expression on the next line without having an indentation error

– Julien Rousé
Nov 22 '18 at 16:42







Backslash is the way to continue the expression on the next line without having an indentation error

– Julien Rousé
Nov 22 '18 at 16:42















see stackoverflow.com/q/53162/3729797

– Julien Rousé
Nov 22 '18 at 16:44





see stackoverflow.com/q/53162/3729797

– Julien Rousé
Nov 22 '18 at 16:44













Thankx alot for you comment

– Ahmed Mohamed
Nov 22 '18 at 17:03





Thankx alot for you comment

– Ahmed Mohamed
Nov 22 '18 at 17:03













@AhmedMohamed, that + 1e-7 actually causes a small error and is not necessary. I'm not sure why the one who created that added that value. Usually, adding very small values is used to prevent computational errors however I could not identify the error they're trying to avoid in this case

– jtitusj
Nov 22 '18 at 18:22







@AhmedMohamed, that + 1e-7 actually causes a small error and is not necessary. I'm not sure why the one who created that added that value. Usually, adding very small values is used to prevent computational errors however I could not identify the error they're trying to avoid in this case

– jtitusj
Nov 22 '18 at 18:22






1




1





Question has nothing to do with machine-learning or artificial-intelligence - kindly do not spam the tags (removed).

– desertnaut
Nov 24 '18 at 14:02





Question has nothing to do with machine-learning or artificial-intelligence - kindly do not spam the tags (removed).

– desertnaut
Nov 24 '18 at 14:02












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