I am trying to vectorize my code and, thanks in large part to some users (https://stackoverflow.com/users/3293881/divakar, https://stackoverflow.com/users/625914/behzad-nouri), I was able to make huge progress. Essentially, I am trying to apply a generic function (in this case max_dd_array_ret
) to each of the bins I found (see vectorize complex slicing with pandas dataframe for details on date vectorization and Start, End and Duration of Maximum Drawdown in Python for the rationale behind max_dd_array_ret
). the problem is the following: I should be able to obtain the result df_2
and, to some degree, ranged_DD(asd_1.values, starts, ends+1)
is what I am looking for, except for the tragic effect that it's as if the first two bins are merged and the last one is missing as it can be gauged by looking at the results.
any explanation and fix is very welcomed
import pandas as pd
import numpy as np
from time import time
from scipy.stats import binned_statistic
def max_dd_array_ret(xs):
xs = (xs+1).cumprod()
i = np.argmax(np.maximum.accumulate(xs) - xs) # end of the period
j = np.argmax(xs[:i])
max_dd = abs(xs[j]/xs[i] -1)
return max_dd if max_dd is not None else 0
def get_ranges_arr(starts,ends):
# Taken from https://stackoverflow.com/a/37626057/3293881
counts = ends - starts
counts_csum = counts.cumsum()
id_arr = np.ones(counts_csum[-1],dtype=int)
id_arr[0] = starts[0]
id_arr[counts_csum[:-1]] = starts[1:] - ends[:-1] + 1
return id_arr.cumsum()
def ranged_DD(arr,starts,ends):
# Get all indices and the IDs corresponding to same groups
idx = get_ranges_arr(starts,ends)
id_arr = np.repeat(np.arange(starts.size),ends-starts)
slice_arr = arr[idx]
return binned_statistic(id_arr, slice_arr, statistic=max_dd_array_ret)[0]
asd_1 = pd.Series(0.01 * np.random.randn(500), index=pd.date_range('2011-1-1', periods=500)).pct_change()
index_1 = pd.to_datetime(['2011-2-2', '2011-4-3', '2011-5-1','2011-7-2', '2011-8-3', '2011-9-1','2011-10-2', '2011-11-3', '2011-12-1','2012-1-2', '2012-2-3', '2012-3-1',])
index_2 = pd.to_datetime(['2011-2-15', '2011-4-16', '2011-5-17','2011-7-17', '2011-8-17', '2011-9-17','2011-10-17', '2011-11-17', '2011-12-17','2012-1-17', '2012-2-17', '2012-3-17',])
starts = asd_1.index.searchsorted(index_1)
ends = asd_1.index.searchsorted(index_2)
df_2 = pd.DataFrame([max_dd_array_ret(asd_1.loc[i:j]) for i, j in zip(index_1, index_2)], index=index_1)
print(df_2[0].values)
print(ranged_DD(asd_1.values, starts, ends+1))
results:
df_2
[ 1.75893509 6.08002911 2.60131797 1.55631781 1.8770067 2.50709085
1.43863472 1.85322338 1.84767224 1.32605754 1.48688414 5.44786663]
ranged_DD(asd_1.values, starts, ends+1)
[ 6.08002911 2.60131797 1.55631781 1.8770067 2.50709085 1.43863472
1.85322338 1.84767224 1.32605754 1.48688414]
which are identical except for the first two:
[ 1.75893509 6.08002911
vs [ 6.08002911
and the last two
1.48688414 5.44786663]
vs 1.48688414]
p.s.:while looking in more detail at the docs (http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.binned_statistic.html) I found that this might be the problem
"All but the last (righthand-most) bin is half-open. In other words, if bins is [1, 2, 3, 4], then the first bin is [1, 2) (including 1, but excluding 2) and the second [2, 3). The last bin, however, is [3, 4], which includes 4. New in version 0.11.0."
problem is I don't how to reset it.