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Numpy, pandas merge rows

Im working on numpy, pandas and need to "merge" rows. I have column martial-status and there are things like this:
'Never-married', 'Divorced', 'Separated', 'Windowed'
and:
'Married-civ-spouse','Married-spouse-absent', 'Married-AF-spouse'
Im wondering how to merge them to just 2 rows, for the first 4 to single and for the second one's in relationship. I need it for one hot encoding later.
And for sample output the martial-status should be just single or in relationship adequately to what i mention before

You can use pd.Series.map to convert certain values to other. For this you need a dictionary, that assigns each value with a new value. The values not presented in the dictionary will be replaced with NaN
married_map = {
status:'Single'
for status in ['Never-married', 'Divorced', 'Separated', 'Widowed']}
married_map.update({
status:'In-relationship'
for status in ['Married-civ-spouse','Married-spouse-absent', 'Married-AF-spouse']})
df['marital-status'].map(married_map)

Paritition matrix into smaller matrices based on multiple values

So I have this giant matrix (~1.5 million rows x 7 columns) and am trying to figure out an efficient way to split it up. For simplicity of what I'm trying to do, I'll work with this much smaller matrix as an example for what I'm trying to do. The 7 columns consist of (in this order): item number, an x and y coordinate, 1st label (non-numeric), data #1, data #2, and 2nd label (non-numeric). So using pandas, I've imported from an excel sheet my matrix called A that looks like this:
What I need to do is partition this based on both labels (i.e. so I have one matrix that is all the 13G + Aa together, another matrix that is 14G + Aa, and another one that is 14G + Ab together -- this would have me wind up with 3 separate 2x7 matrices). The reason for this is because I need to run a bunch of statistics on the dataset of numbers of the "Marker" column for each individual matrix (e.g. in this example, break the 6 "marker" numbers into three sets of 2 "marker" numbers, and then run statistics on each set of two numbers). Since there are going to be hundreds of these smaller matrices on the real data set I have, I was trying to figure out some way to make the smaller matrices be labeled something like M1, M2, ..., M500 (or whatever number it ends up being) so that way later, I can use some loops to apply statistics to each individual matrix all at once without having to write it 500+ times.
What I've done so far is to use pandas to import my data set into python as a matrix with the command:
import pandas as pd
import numpy as np
df = pd.read_csv(r"C:\path\cancerdata.csv")
A = df.as_matrix() #Convert excel sheet to matrix
A = np.delete(A, (0),axis=0) #Delete header row
Unfortunately, I haven't come across many resources for how to do what I want, which is why I wanted to ask here to see if anyone knows how to split up a matrix into smaller matrices based on multiple labels.

Your question has many implications, so instead of giving you a straight answer I'll try to give you some pointers on how to tackle this problem.
First off, don't transform your DataFrame into a Matrix. DataFrames are well-optimised for slicing and indexing operations (a Pandas Series object is in reality a fancy Numpy array anyway), so you only lose functionality by converting it to a Matrix.
You could probably convert your label columns into a MultiIndex. This way, you'll be able to access slices of your original DataFrame using df.loc, with a syntax similar to df.loc[label1].loc[label2].
A MultiIndex may sound confusing at first, but it really isn't. Try executing this code block and see for yourself how the resulting DataFrame looks like:
df = pd.read_csv("C:\path\cancerdata.csv")
labels01 = df["Label 1"].unique()
labels02 = df["Label 2"].unique()
index = pd.MultiIndex.from_product([labels01, labels02])
df.set_index(index, inplace=True)
print(df)
Here, we extracted all unique values in the columns "Label 1" and "Label 2", and created an MultiIndex based on all possible combinations of Label 1 vs. Label 2. In the df.set_index line, we extracted those columns from the DataFrame - now they act as indices for your other columns. For example, in order to access the DataFrame slice from your original DataFrame whose Label 1 = 13G and Label 2 = Aa, you can simply write:
sliced_df = df.loc["13G"].loc["Aa"]
And perform whatever calculations/statistics you need with it.
Lastly, instead of saving each sliced DataFrame into a list or dictionary, and then iterating over them to perform the calculations, consider rearranging your code so that, as soon as you create your sliced DataFrame, you peform the calculations, save them to a output/results file/DataFrame, and move on to the next slicing operation. Something like:
for L1 in labels01:
for L2 in labels02:
sliced_df = df.loc[L1].loc[L2]
results = perform_calculations(sub_df)
save_results(results)
This will both improve memory consumption and performance, which may be important considering your large dataset.

Dataframe - Sum Arrays in Cell - Memory Issue

I have a very large dataframe (close to 1 million rows), which has a couple of meta data columns and one single column that contains a long string of triples. One string could look like this:
0,0,123.63;10,360,2736.11;30,270,98.08;...
That is, three values separated by comma and then separated by semicolon. Let us refer to the three values as IN, OUT, MEASURE. Effectively i want to group my data by the original columns + the IN & OUT columns and then sum over the MEASURE column. Since each long string contains roughly 30 triples my dataframe would grow to be ~30 million rows if i simply unstacked the data. Obviously this is not feasible.
So given a set of columns (which may in- or exclude the IN & OUT columns) over which I want to group and then sum my MEASURE data, how would I efficiently strip out the relevant data and sum everything up without blowing up my memory?
My current solution simply loops over each row and then over each triple and keeps a running total of each group I specified. This is very slow, so I am looking for something faster, perhaps vectorised. Any help would be appreciated.
Edit: Sample data below (columns separated by pipe)
DATE|REGION|PRIORITY|PARAMETERS
10-Oct-2016|UK|High|0,0,77.82;30,90,7373.70;
10-Oct-2016|US|Low|0,30,7.82;30,90,733.70;
11-Oct-2016|UK|High|0,0,383.82;40,90,713.75;
12-Oct-2016|NA|Low|40,90,937.11;30,180,98.23;
where PARAMETERS has the form 'IN,OUT,MEASURE;IN,OUT,MEASURE;...'
I basically want to (as an example) create a pivot table where
values=MEASURE
index=DATE, IN
columns=PRIORITY

Python pandas loop efficient through two dataframes with different lengths

I have two dataframes with different lengths(df,df1). They share one similar label "collo_number". I want to search the second dataframe for every collo_number in the first data frame. Problem is that the second date frame contains multiple rows for different dates for every collo_nummer. So i want to sum these dates and add this in a new column in the first database.
I now use a loop but it is rather slow and has to perform this operation for al 7 days in a week. Is there a way to get a better performance? I tried multiple solutions but keep getting the error that i cannot use the equal sign for two databases with different lenghts. Help would really be appreciated! Here is an example of what is working but with a rather bad performance.
df5=[df1.loc[(df1.index == nasa) & (df1.afleverdag == x1) & (df1.ind_init_actie=="N"), "aantal_colli"].sum() for nasa in df.collonr]

Your description is a bit vague (hence my comment). First what you good do is to select the rows of the dataframe that you want to search:
dftmp = df1[(df1.afleverdag==x1) & (df1.ind_init_actie=='N')]
so that you don't do this for every item in the loop.
Second, use .groupby.
newseries = dftmp['aantal_colli'].groupby(dftmp.index).sum()
newseries = newseries.ix[df.collonr.unique()]

Using NumPy Vectorization to Create Column Containing Length of Another Column

I think I have a pretty straightforward question here. Essentially I have a table with one column where each row contains a set of values that had previously been converted from a JSON string.
For example, here is one cell value for the column "options":
[u'Tide Liquid with a Touch of Downy April Fresh 69oz', u'Tide Liquid with Febreze Spring & Renewal 69oz (HE or Non-HE)', u'Tide Liquid HE with Febreze Sport 69oz', u'Tide Liquid HE Clean Breeze 75oz', u'Tide Liquid Original 75oz', u'Other']
I want to add a new column that simply counts the number of values in this list. I can do this row by row using a code like such:
df['num_choices'] = len(df.loc[row_num,'options'])
(i.e. I want to count the number of values in the column "options" and return that count in a new column called "num_choices")
Running this on the provided example above (with the input row#) will create a new column next to it with the value 6, since the count of options is 6.
How can I do this systematically for all 5,000 of my rows?
I tried to do this with Pandas iterrow() function, but I've been told that would be way less efficient than simply using NumPy ndArray vectorization. But I can't seem to figure out how to do that.
Thanks so much for your help!

As mentioned in the comments above, there's not really any way to vectorize operations on arrays that contain arbitrary Python objects.
I don't think you can do much better than using a simple for loop or list comprehension, e.g.:
df['num_choices'] = np.array([len(row) for row in df.options])