Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread cjw

  
  

On 11-Feb-15 10:47 AM, Sebastian Berg
  wrote:


  On Di, 2015-02-10 at 15:07 -0700, cjw wrote:

  
It seems to be agreed that there are weaknesses in the existing Numpy Matrix
Class.

Some problems are illustrated below.


  
  
Not to delve deeply into a discussion, but unfortunately, there seem far
more fundamental problems because of the always 2-D thing and the simple
fact that matrix is more of a second class citizen in numpy (or in other
words a lot of this is just the general fact that it is an ndarray
subclass).

Thanks Sebastian,

We'll have to see what comes out of the discussion.

I would be grateful if you could expand on the "always 2D thing". 
Is there a need for a collection of matrices, where a function is
applied to each component of the collection?

Colin W.

  

I think some of these issues were summarized in the discussion about the
@ operator. I am not saying that a matrix class separate from numpy
cannot solve these, but within numpy it seems hard.



  
I'll try to put some suggestions over the coming weeks and would appreciate
comments.

Colin W.

Test Script:

if __name__ == '__main__':
a= mat([4, 5, 6])   # Good
print('a: ', a)
b= mat([4, '5', 6]) # Not the expected result
print('b: ', b)
c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
print('c: ', c)
d= mat([[1, 2, 3]])
try:
d[0, 1]= 'b'# Correctly flagged, not numeric
except ValueError:
print("d[0, 1]= 'b' # Correctly flagged, not numeric", '
ValueError')
print('d: ', d)

Result:

*** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
(AMD64)] on win32. ***


  

  


  

a:  [[4 5 6]]
b:  [['4' '5' '6']]
c:  [[[4, 5, 6] [7, 8]]]
d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
d:  [[1 2 3]]


  

  


  






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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Alan G Isaac
Just recalling the one-year-ago discussion:
http://comments.gmane.org/gmane.comp.python.numeric.general/56494

Alan Isaac
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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Sebastian Berg
On Mi, 2015-02-11 at 11:38 -0500, cjw wrote:
 
 On 11-Feb-15 10:47 AM, Sebastian Berg wrote:
 
  On Di, 2015-02-10 at 15:07 -0700, cjw wrote:
   It seems to be agreed that there are weaknesses in the existing Numpy 
   Matrix
   Class.
   
   Some problems are illustrated below.
   
  Not to delve deeply into a discussion, but unfortunately, there seem far
  more fundamental problems because of the always 2-D thing and the simple
  fact that matrix is more of a second class citizen in numpy (or in other
  words a lot of this is just the general fact that it is an ndarray
  subclass).
 Thanks Sebastian,
 
 We'll have to see what comes out of the discussion.
 
 I would be grateful if you could expand on the always 2D thing.  Is
 there a need for a collection of matrices, where a function is applied
 to each component of the collection?
 

No, I just mean the fact that a matrix is always 2D. This makes some
things like some indexing operations awkward and some functions that
expect a numpy array (but think they can handle subclasses fine) may
just plain brake. And then ndarray subclasses are just a bit
problematic

In short, you cannot generally expect a function which works great with
arrays to also work great with matrices, I believe. this is true for
some things within numpy and certainly for third party libraries I am
sure.

- Sebastian

 Colin W.
  
  I think some of these issues were summarized in the discussion about the
  @ operator. I am not saying that a matrix class separate from numpy
  cannot solve these, but within numpy it seems hard.
  
  
   I'll try to put some suggestions over the coming weeks and would 
   appreciate
   comments.
   
   Colin W.
   
   Test Script:
   
   if __name__ == '__main__':
   a= mat([4, 5, 6])   # Good
   print('a: ', a)
   b= mat([4, '5', 6]) # Not the expected result
   print('b: ', b)
   c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
   print('c: ', c)
   d= mat([[1, 2, 3]])
   try:
   d[0, 1]= 'b'# Correctly flagged, not numeric
   except ValueError:
   print(d[0, 1]= 'b' # Correctly flagged, not 
   numeric, '
   ValueError')
   print('d: ', d)
   
   Result:
   
   *** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
   (AMD64)] on win32. ***
   a:  [[4 5 6]]
   b:  [['4' '5' '6']]
   c:  [[[4, 5, 6] [7, 8]]]
   d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
   d:  [[1 2 3]]
   
   
   
   
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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread cjw

  
  

On 11-Feb-15 10:21 AM, Ryan Nelson
  wrote:


  So:

In [2]: np.mat([4,'5',6])
Out[2]:
matrix([['4', '5', '6']], dtype='U11')

In [3]: np.mat([4,'5',6], dtype=int)
Out[3]: matrix([[4, 5, 6]])



Thanks Ryan,

We are not singing from the same hymn book.

Using PyScripter, I get:
*** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC
  v.1500 64 bit (AMD64)] on win32. ***
   import numpy as np
   print('Numpy version: ', np.__version__)
  ('Numpy version: ', '1.9.0')
   

Could you say which version you are using please?

Colin W

  

On Tue, Feb 10, 2015 at 5:07 PM, cjw c...@ncf.ca wrote:


  
It seems to be agreed that there are weaknesses in the existing Numpy
Matrix
Class.

Some problems are illustrated below.

I'll try to put some suggestions over the coming weeks and would appreciate
comments.

Colin W.

Test Script:

if __name__ == '__main__':
a= mat([4, 5, 6])   # Good
print('a: ', a)
b= mat([4, '5', 6]) # Not the expected result
print('b: ', b)
c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
print('c: ', c)
d= mat([[1, 2, 3]])
try:
d[0, 1]= 'b'# Correctly flagged, not numeric
except ValueError:
print("d[0, 1]= 'b' # Correctly flagged, not numeric",
'
ValueError')
print('d: ', d)

Result:

*** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
(AMD64)] on win32. ***


  

  


  

a:  [[4 5 6]]
b:  [['4' '5' '6']]
c:  [[[4, 5, 6] [7, 8]]]
d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
d:  [[1 2 3]]


  

  


  






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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread cjw

  
  

On 11-Feb-15 12:13 PM, Alan G Isaac
  wrote:


  Just recalling the one-year-ago discussion:
http://comments.gmane.org/gmane.comp.python.numeric.general/56494

Alan Isaac
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Thanks Alan,

I've kept a pointer.

My interest is not oriented towards tuition but in exploring the
possibility of making Matrix as efficient as possible.  Others have
suggested Sage Maths for tuition.

What methods should be included?  You have suggested adding the
Hermitian.

I think of the matrix as a numeric object.  What would the case be
for having a Boolean matrix?

The Hat matrix
and SVD
are suggested.

Possible coordination with stats models.

I'll try to put a first draft specification over the next few weeks.

Colin W.


  



  

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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread cjw

  
  
Thanks Sebastian,

This would appear to make a case for considering not having Matrix
as a sub-class of an np array.

On the other hand, so much work has gone into np, and there is some
commonality between the needs of Matrix and Array.

Colin W.

On 11-Feb-15 12:19 PM, Sebastian Berg
  wrote:


  On Mi, 2015-02-11 at 11:38 -0500, cjw wrote:

  

On 11-Feb-15 10:47 AM, Sebastian Berg wrote:



  On Di, 2015-02-10 at 15:07 -0700, cjw wrote:

  
It seems to be agreed that there are weaknesses in the existing Numpy Matrix
Class.

Some problems are illustrated below.


  
  Not to delve deeply into a discussion, but unfortunately, there seem far
more fundamental problems because of the always 2-D thing and the simple
fact that matrix is more of a second class citizen in numpy (or in other
words a lot of this is just the general fact that it is an ndarray
subclass).


Thanks Sebastian,

We'll have to see what comes out of the discussion.

I would be grateful if you could expand on the "always 2D thing".  Is
there a need for a collection of matrices, where a function is applied
to each component of the collection?


  
  
No, I just mean the fact that a matrix is always 2D. This makes some
things like some indexing operations awkward and some functions that
expect a numpy array (but think they can handle subclasses fine) may
just plain brake. And then ndarray subclasses are just a bit
problematic

In short, you cannot generally expect a function which works great with
arrays to also work great with matrices, I believe. this is true for
some things within numpy and certainly for third party libraries I am
sure.

- Sebastian


  
Colin W.


  
I think some of these issues were summarized in the discussion about the
@ operator. I am not saying that a matrix class separate from numpy
cannot solve these, but within numpy it seems hard.



  
I'll try to put some suggestions over the coming weeks and would appreciate
comments.

Colin W.

Test Script:

if __name__ == '__main__':
a= mat([4, 5, 6])   # Good
print('a: ', a)
b= mat([4, '5', 6]) # Not the expected result
print('b: ', b)
c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
print('c: ', c)
d= mat([[1, 2, 3]])
try:
d[0, 1]= 'b'# Correctly flagged, not numeric
except ValueError:
print("d[0, 1]= 'b' # Correctly flagged, not numeric", '
ValueError')
print('d: ', d)

Result:

*** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
(AMD64)] on win32. ***
a:  [[4 5 6]]
b:  [['4' '5' '6']]
c:  [[[4, 5, 6] [7, 8]]]
d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
d:  [[1 2 3]]




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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Ryan Nelson
So:

In [2]: np.mat([4,'5',6])
Out[2]:
matrix([['4', '5', '6']], dtype='U11')

In [3]: np.mat([4,'5',6], dtype=int)
Out[3]: matrix([[4, 5, 6]])



On Tue, Feb 10, 2015 at 5:07 PM, cjw c...@ncf.ca wrote:

 It seems to be agreed that there are weaknesses in the existing Numpy
 Matrix
 Class.

 Some problems are illustrated below.

 I'll try to put some suggestions over the coming weeks and would appreciate
 comments.

 Colin W.

 Test Script:

 if __name__ == '__main__':
 a= mat([4, 5, 6])   # Good
 print('a: ', a)
 b= mat([4, '5', 6]) # Not the expected result
 print('b: ', b)
 c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
 print('c: ', c)
 d= mat([[1, 2, 3]])
 try:
 d[0, 1]= 'b'# Correctly flagged, not numeric
 except ValueError:
 print(d[0, 1]= 'b' # Correctly flagged, not numeric,
 '
 ValueError')
 print('d: ', d)

 Result:

 *** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
 (AMD64)] on win32. ***
 
 a:  [[4 5 6]]
 b:  [['4' '5' '6']]
 c:  [[[4, 5, 6] [7, 8]]]
 d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
 d:  [[1 2 3]]
 





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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Sebastian Berg
On Di, 2015-02-10 at 15:07 -0700, cjw wrote:
 It seems to be agreed that there are weaknesses in the existing Numpy Matrix
 Class.
 
 Some problems are illustrated below.
 

Not to delve deeply into a discussion, but unfortunately, there seem far
more fundamental problems because of the always 2-D thing and the simple
fact that matrix is more of a second class citizen in numpy (or in other
words a lot of this is just the general fact that it is an ndarray
subclass).

I think some of these issues were summarized in the discussion about the
@ operator. I am not saying that a matrix class separate from numpy
cannot solve these, but within numpy it seems hard.


 I'll try to put some suggestions over the coming weeks and would appreciate
 comments.
 
 Colin W.
 
 Test Script:
 
 if __name__ == '__main__':
 a= mat([4, 5, 6])   # Good
 print('a: ', a)
 b= mat([4, '5', 6]) # Not the expected result
 print('b: ', b)
 c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
 print('c: ', c)
 d= mat([[1, 2, 3]])
 try:
 d[0, 1]= 'b'# Correctly flagged, not numeric
 except ValueError:
 print(d[0, 1]= 'b' # Correctly flagged, not numeric, '
 ValueError')
 print('d: ', d)
 
 Result:
 
 *** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
 (AMD64)] on win32. ***
  
 a:  [[4 5 6]]
 b:  [['4' '5' '6']]
 c:  [[[4, 5, 6] [7, 8]]]
 d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
 d:  [[1 2 3]]
  
 
 
 
 
 
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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Alan G Isaac
On 2/11/2015 2:25 PM, cjw wrote:
 I think of the matrix as a numeric object.  What would the case be for having 
 a Boolean matrix?


It's one of my primary uses:
https://en.wikipedia.org/wiki/Adjacency_matrix

Numpy alread provides SVD:
http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.svd.html
A lot of core linear algebra is in `numpy.linalg`, and SciPy has much more.

Remember for matrix `M` you can always apply any numpy function to `M.A`.

I think gains could be in lazy evaluation structures (e.g.,
a KroneckerProduct object that never actually produces the product
unless forced to.)

Cheers,
Alan

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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Pauli Virtanen
11.02.2015, 21:57, Alan G Isaac kirjoitti:
[clip]
 I think gains could be in lazy evaluation structures (e.g.,
 a KroneckerProduct object that never actually produces the product
 unless forced to.)

This sounds like an abstract linear operator interface. Several attempts
have been made to this direction in Python world, but I think none of
them has really gained traction so far.

One is even in Scipy. Unfortunately, that one's design has grown
organically, and it's mostly suited just for specifying inputs to sparse
solvers etc. rather than abstract manipulations.

If there was a popular way to deal with these objects, it could become
even more popular reasonably quickly.


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Re: [Numpy-discussion] Matrix Class

2015-02-11 Thread Ryan Nelson
Colin,

I currently use Py3.4 and Numpy 1.9.1. However, I built a quick test conda
environment with Python2.7 and Numpy 1.7.0, and I get the same:


Python 2.7.9 |Continuum Analytics, Inc.| (default, Dec 18 2014, 16:57:52)
[MSC v
.1500 64 bit (AMD64)]
Type copyright, credits or license for more information.

IPython 2.3.1 -- An enhanced Interactive Python.
Anaconda is brought to you by Continuum Analytics.
Please check out: http://continuum.io/thanks and https://binstar.org
? - Introduction and overview of IPython's features.
%quickref - Quick reference.
help  - Python's own help system.
object?   - Details about 'object', use 'object??' for extra details.

In [1]: import numpy as np

In [2]: np.__version__
Out[2]: '1.7.0'

In [3]: np.mat([4,'5',6])
Out[3]:
matrix([['4', '5', '6']],
   dtype='|S1')

In [4]: np.mat([4,'5',6], dtype=int)
Out[4]: matrix([[4, 5, 6]])
###

As to your comment about coordinating with Statsmodels, you should see the
links in the thread that Alan posted:
http://permalink.gmane.org/gmane.comp.python.numeric.general/56516
http://permalink.gmane.org/gmane.comp.python.numeric.general/56517
Josef's comments at the time seem to echo the issues the devs (and others)
have with the matrix class. Maybe things have changed with Statsmodels.

I know I mentioned Sage and SageMathCloud before. I'll just point out that
there are folks that use this for real research problems, not just as a
pedagogical tool. They have a Matrix/vector/column_matrix class that do
what you were expecting from your problems posted above. Indeed below is a
(truncated) cut and past from a Sage Worksheet. (See
http://www.sagemath.org/doc/tutorial/tour_linalg.html)
##
In : Matrix([1,'2',3])
Error in lines 1-1
Traceback (most recent call last):
TypeError: unable to find a common ring for all elements

In : Matrix([[1,2,3],[4,5]])
ValueError: List of rows is not valid (rows are wrong types or lengths)

In : vector([1,2,3])
(1, 2, 3)

In : column_matrix([1,2,3])
[1]
[2]
[3]
##

Large portions of the custom code and wrappers in Sage are written in
Python. I don't think their Matrix object is a subclass of ndarray, so
perhaps you could strip out the Matrix stuff from here to make a separate
project with just the Matrix stuff, if you don't want to go through the
Sage interface.


On Wed, Feb 11, 2015 at 11:54 AM, cjw c...@ncf.ca wrote:


 On 11-Feb-15 10:21 AM, Ryan Nelson wrote:

 So:

 In [2]: np.mat([4,'5',6])
 Out[2]:
 matrix([['4', '5', '6']], dtype='U11')

 In [3]: np.mat([4,'5',6], dtype=int)
 Out[3]: matrix([[4, 5, 6]])


  Thanks Ryan,

 We are not singing from the same hymn book.

 Using PyScripter, I get:

 *** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
 (AMD64)] on win32. ***
  import numpy as np
  print('Numpy version: ', np.__version__)
 ('Numpy version: ', '1.9.0')
 

 Could you say which version you are using please?

 Colin W


 On Tue, Feb 10, 2015 at 5:07 PM, cjw c...@ncf.ca c...@ncf.ca wrote:


  It seems to be agreed that there are weaknesses in the existing Numpy
 Matrix
 Class.

 Some problems are illustrated below.

 I'll try to put some suggestions over the coming weeks and would appreciate
 comments.

 Colin W.

 Test Script:

 if __name__ == '__main__':
 a= mat([4, 5, 6])   # Good
 print('a: ', a)
 b= mat([4, '5', 6]) # Not the expected result
 print('b: ', b)
 c= mat([[4, 5, 6], [7, 8]]) # Wrongly accepted as rectangular
 print('c: ', c)
 d= mat([[1, 2, 3]])
 try:
 d[0, 1]= 'b'# Correctly flagged, not numeric
 except ValueError:
 print(d[0, 1]= 'b' # Correctly flagged, not numeric,
 '
 ValueError')
 print('d: ', d)

 Result:

 *** Python 2.7.9 (default, Dec 10 2014, 12:28:03) [MSC v.1500 64 bit
 (AMD64)] on win32. ***

 a:  [[4 5 6]]
 b:  [['4' '5' '6']]
 c:  [[[4, 5, 6] [7, 8]]]
 d[0, 1]= 'b' # Correctly flagged, not numeric  ValueError
 d:  [[1 2 3]]





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Re: [Numpy-discussion] Using numpy on hadoop streaming: ImportError: cannot import name multiarray

2015-02-11 Thread Daπid
On 11 February 2015 at 08:06, Kartik Kumar Perisetla
kartik.p...@gmail.com wrote:
 Thanks David. But do I need to install virtualenv on every node in hadoop
 cluster? Actually I am not very sure whether same namenodes are assigned for
 my every hadoop job. So how shall I proceed on such scenario.

I have never used hadoop, but in the clusters I have used, you have a
home folder on the central node, and each and every computing node has
access to it. You can then install Python in your home folder and make
every node run that, or pull a local copy.

Probably the cluster support can clear this up further and adapt it to
your particular case.

/David.
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Re: [Numpy-discussion] 3D array and the right hand rule

2015-02-11 Thread Dieter Van Eessen
Ok, thanks for the reply!

Indeed, I know about the use of transformation matrices to manipulate
points in space.
That's all matrix manipulation anyway

But, (and perhaps this is not the right place to ask the following
question):
But are there no known mathmatical algorithms which involve the use of 3n
arrays (or higher dimensions)
to transform an object between one state and the other?

This is an open question, as my knowledge of math is lacking on this area.
I'm currently limited to 3D object manipulation and some statistics which
all rely on matrix calculus...

kind regards,
Dieter



On Fri, Jan 30, 2015 at 2:32 AM, Alexander Belopolsky ndar...@mac.com
wrote:


 On Mon, Jan 26, 2015 at 6:06 AM, Dieter Van Eessen 
 dieter.van.ees...@gmail.com wrote:

 I've read that numpy.array isn't arranged according to the
 'right-hand-rule' (right-hand-rule = thumb = +x; index finger = +y, bend
 middle finder = +z). This is also confirmed by an old message I dug up from
 the mailing list archives. (see message below)


 Dieter,

 It looks like you are confusing dimensionality of the array with the
 dimensionality of a vector that it might store.  If you are interested in
 using numpy for 3D modeling, you will likely only encounter 1-dimensional
 arrays (vectors) of size 3 and 2-dimensional arrays  (matrices) of size 9
 or shape (3, 3).

 A 3-dimensional array is a stack of matrices and the 'right-hand-rule'
 does not really apply.  The notion of C/F-contiguous deals with the order
 of axes (e.g. width first or depth first) while the right-hand-rule is
 about the direction of the axes (if you flip the middle finger right hand
 becomes left.)  In the case of arrays this would probably correspond to
 little-endian vs. big-endian: is a[0] stored at a higher or lower address
 than a[1].  However, whatever the answer to this question is for a
 particular system, it is the same for all axes in the array, so right-hand
 - left-hand distinction does not apply.

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-- 
gtz,
Dieter VE
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