def pandas_xy_dist(df, x_col='x', y_col='y'):
"""
Takes in a pandas dataframe containing x and y coordinates. Calculates the euclidean distance between point pairs as wella s the cumulative distance.
VARIABLES
df : a pandas dataframe
x_col : x column header (default 'x')
y_col : y column header (default 'y')
RETURN
Neighbour didtance array
Cumulative didtance array
"""
df=df.assign(x_diff=pd.rolling_apply(df[x_col], 2, \
lambda x : x[1]-x[0]))
df=df.assign(y_diff=pd.rolling_apply(df[y_col], 2, \
lambda y : y[1]-y[0]))
df['xy_distance']=np.hypot(df['y_diff'], df['x_diff'])
spacing = df['xy_distance'].values
cumulative = np.asarray(np.cumsum(df['xy_distance']))
cumulative[0]=0
df = df.drop('x_diff', 1)
df = df.drop('y_diff', 1)
df['cumulative']=cumulative
return spacing, cumulative, df
def GenSingleAlphaWeight(self, dfData):
n = len(dfData)
dfAlpha = dfData[0][[self.alpha_name]].copy()
for i in range(1,n):
dfAlpha = pd.merge(dfAlpha, dfData[i][[self.alpha_name]], left_index=True, right_index=True, how='outer')
asset_names = []
for i in range(n):
asset_names.append(dfData[i].index.name)
dfAlpha.columns = asset_names
dfAlpha.index.name = 'Date'
dfAlpha['lower'] = pd.rolling_apply(np.arange(len(dfAlpha)), self.window_length,
self.threshold_calc, args=(dfAlpha, self.lower_percentile),min_periods=1)
dfAlpha['upper'] = pd.rolling_apply(np.arange(len(dfAlpha)), self.window_length,
self.threshold_calc, args=(dfAlpha, self.upper_percentile),min_periods=1)
dfAlpha['lower'] = dfAlpha['lower'].shift(1)
dfAlpha['upper'] = dfAlpha['upper'].shift(1)
dfAlpha.dropna(inplace=True)
dfAlpha = dfAlpha[str(self.start_date):]
dfAlphaWeight = dfAlpha.apply(self.func, axis=1)
del dfAlpha['upper']
del dfAlpha['lower']
del dfAlphaWeight['upper']
del dfAlphaWeight['lower']
return (dfAlpha, dfAlphaWeight)
def preProcess(zig):
f1 = pd.rolling_apply(zig, 5, lambda x: 100*(x[2]-x[0])/x[0], center = True, min_periods=5)
f2 = pd.rolling_apply(zig, 5, lambda x: 100*(x[4]-x[2])/x[2], center = True, min_periods=5)
f3 = pd.rolling_apply(zig, 5, lambda x: 100*(x[4]-x[0])/x[0], center = True, min_periods=5)
f4 = pd.rolling_apply(zig, 5, lambda x: 100*(x[3]-x[1])/x[1], center = True, min_periods=5)
f5 = pd.rolling_apply(zig, 5, lambda x: 100*(x[1]-x[0])/x[0], center = True, min_periods=5)
features = pd.DataFrame({'f1':f1, 'f2':f2, "f3":f3, "f4":f4, 'f5':f5})
return features.dropna()
def BBANDS(data, n = 20, m = 2):
data['bbands_mid'] = ta.SMA(np.array(data[['high', 'low', 'close']].mean(axis=1)),n)
data['bbands_up'] = data['bbands_mid'] + m* pd.rolling_apply(data.close, n, np.std)
data['bbands_dn'] = data['bbands_mid'] - m* pd.rolling_apply(data.close, n, np.std)
signal = pd.DataFrame(index = data.index)
"""
当收盘价上穿上轨线，买入，信号为1
当收盘价下穿下轨线，卖空，信号为-1
参数为20
"""
signal['1'] = ((data['close'] > data['bbands_up'])&(data['close'].shift(1) < data['bbands_up'].shift(1)))*1 + ((data['close'] < data['bbands_dn'])&(data['close'].shift(1) > data['bbands_dn'].shift(1)))*(-1)
signal['1'] = signal['1'][signal['1'].isin([1,-1])].reindex(data.index, method='ffill')
signal = signal.fillna(0)
return signal
def cci(df_typ, df_c, i_period):
"""
http://en.wikipedia.org/wiki/Commodity_channel_index
CCI = (p - SMA(p)) / (σ(p) * 0.015)
p = typical price
SMA = simple moving average
σ = mean absolute deviation
"""
i_len = len(df_typ)
assert i_len >= i_period
df_mad = pd.rolling_apply(df_c,10,lambda x : np.fabs(x-x.mean()).mean())
df_sma = sma(df_c, i_period)
df_cci = ( df_typ - df_sma) / (df_mad * 0.015)
## set values before i_period ( wait for enough data )
df_cci[:i_period-1] = 0.
df_cci.name = 'cci' + str(i_period)
return df_cci
def min_rolling_theta_entropy(pos, window=24, bins=24):
"""Compute the minimum Shannon entropy in any window.
Parameters
----------
pos : DataFrame with columns x and y, indexed by frame
window : number of observations per window
bins : number of equally-spaced bins in distribution. Default 24.
Returns
-------
float : Shannon entropy
Examples
--------
>>> theta_entropy(t[t['particle'] == 3].set_index('frame'))
>>> S = t.set_index('frame').groupby('particle').apply(
... tp.min_rolling_theta_entropy)
"""
disp = pos - pos.shift(1)
direction = np.arctan2(disp['y'], disp['x'])
bins = np.linspace(-np.pi, np.pi, bins + 1)
f = lambda x: shannon_entropy(x, bins)
return pd.rolling_apply(direction.dropna(), window, f).min()
def denormalize(df, col):
vals = df[col].copy().dropna().sort_values().round(8)
vals = pd.rolling_apply(vals, 2, lambda x: x[1] - x[0])
vals = vals[vals > 1e-5]
denom = vals.value_counts().idxmax()
denormalized = np.round(np.array(df[col]/denom),0).astype(int)
return denormalized
def run():
num_average_ticks = 12 # v=['B', 'H', 'S'] p=[0.05, 0.9, 0.05]
d = pd.DataFrame(DATA[['timestamp', 'last']])
d['returns'] = compute_returns(d['last'])
print(d['returns'].head())
print(d['returns'].rolling(window=2, center=False).mean().head())
print(d['returns'])
sr_column = 'sharpe_ratio_{}'.format(num_average_ticks)
# is to make a forward apply not a backward apply as people usually do.
d[sr_column] = pd.rolling_apply(d['returns'][::-1],
window=num_average_ticks,
func=sharpe_ratio,
center=False).fillna(0)[::-1]
print(d.tail(100))
labels = ['SELL', 'HOLD', 'BUY']
d['signals'] = pd.qcut(d[sr_column], q=[0, 0.05, 0.95, 1], labels=[0, 1, 2])
print(d.head(100))
print(d['signals'].head(100))
d['signals'].astype(np.float).plot()
import matplotlib.pyplot as plt
plt.show()
def find_denominator(df, col):
print type(df[col].dropna())
vals = df[col].dropna().sort_values().round(8)
vals = pd.rolling_apply(vals, 2, lambda x: x[1] - x[0])
vals = vals[vals > 0.000001]
return vals.value_counts().idxmax()
def src_step1():
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import tushare as ts
import sys
sys.path.append("..")
from JSONData import tdx_data_Day as tdd
# http://stackoverflow.com/questions/21058333/compute-rolling-maximum-drawdown-of-pandas-series
def max_dd(ser):
max2here = pd.expanding_max(ser)
dd2here = ser - max2here
return dd2here.min()
np.random.seed(0)
n = 100
s = pd.Series(np.random.randn(n).cumsum())
# s.plot()
# plt.show()
code='999999'
# d=ts.get_hist_data(code).sort_index()
d=tdd.get_tdx_Exp_day_to_df(code, 'f').sort_index()
rolling_dd = pd.rolling_apply(d.close, 200, max_dd, min_periods=0)
df = pd.concat([d.close, rolling_dd], axis=1)
df.columns = [code, 'rol_dd_10']
df.plot()
plt.show()
def rollingReturn(data, horizon):
''' Function to calculate rolling returns over a horizon.
rollingReturn computes the returns over a horizon
Example: average 1-Year return
>> averageHorizonReturn(data, 12)
Input:
- data (timeseries): timeseris of monthly retun data
- horizon (int): window size for rolling analysis
Returns:
- rollingReturn (timeseries): timeseries of the same size as data
'''
cleanData = utils.processData(data)
if (1 <= horizon <= len(cleanData)) & isinstance(horizon, int):
# Calculate rolling returns
rollingReturns = pd.rolling_apply(cleanData, horizon, lambda x: np.prod(1 + x) - 1)
return rollingReturns
else:
raise customExceptions.invalidInput('averageHorizonReturn')
def aspect_list(planet1, planet2, start, end, aspect, freq='3H', scale=1):
""" return a list of aspect made by 2 planets in given time span and aspect
I only need the exact day so the calculation can be simplified
modify freq to get different accurance
"""
# we don't normalize the distance when calculating 0/180 degree.
if aspect in [0, 180]:
diffs = location_diff(planet1, planet2, start, end, freq,
scale=scale, fit180=False)
# only search 180 degree aspect when distance bigger than 90 degree.
if aspect == 180:
diffs_new = diffs[abs(diffs) > 90].apply(
lambda x: x - _sign(x) * 180)
else:
diffs_new = diffs
# for other aspects
else:
diffs = location_diff(planet1, planet2, start, end, freq, scale=scale)
# now we can treat all aspect like conjection
diffs_new = diffs - aspect
aspectlist = pd.rolling_apply(diffs_new, 2, aspected)
tindex = aspectlist[aspectlist==True].index
res = pd.Series([aspect] * len(tindex), tindex)
return res
def n_period_return(price_series, n):
''' Using the given price series, returns a new series
corresponding to the cumulative net returns of n periods ago
for each period in the series'''
gross_ret = 1 + price_series.pct_change()
gross_np_ret = pd.rolling_apply(gross_ret, n, lambda x: x.prod())
return gross_np_ret - 1
def plot_cumulative_returns_by_quantile(quantile_returns, bin_list=None, period=1, ax=None):
if ax is None:
f, ax = plt.subplots(1, 1, figsize=(18, 6))
return_wide = quantile_returns.reset_index().pivot(index='date', columns='factor_quantile', values=period)
if period > 1:
def compound_returns(ret, n):
return (np.nanmean(ret) + 1)**(1./n) - 1
return_wide = pd.rolling_apply(return_wide, period, compound_returns, min_periods=1, args=(period,))
cum_ret = return_wide.add(1).cumprod()
if bin_list is not None:
cum_ret = cum_ret[bin_list]
cum_ret.plot(lw=2, ax=ax)
ax.legend()
y_min, y_max = cum_ret.min().min(), cum_ret.max().max()
ax.set(ylabel='Log Cumulative Returns',
title='Cumulative Return by Quantile ({} Period Forward Return)'.format(period),
xlabel='',
yscale='symlog',
yticks=np.linspace(y_min, y_max, 5),
ylim=(y_min, y_max))
ax.yaxis.set_major_formatter(ScalarFormatter())
ax.axhline(1.0, linestyle='-', color='black', lw=1)
return ax
def calculate_indicator(self, label): # self.stock.close_prices()
prices = np.array(self.stock.get_data(label), dtype=np.float64)
last = lambda x: x[-1]
prices_last = pd.rolling_apply(prices, self.window, last)
moving_average = pd.rolling_mean(prices, self.window)
result = (prices_last-moving_average)/moving_average*100 # include nan
return result.tolist()
def rolling_sparse_average(self, data_frame, periods):
"""
rolling_sparse_average - Calculates the rolling moving average of a sparse time series
Parameters
----------
data_frame : DataFrame
contains time series
periods : int
number of periods in the rolling sparse average
Returns
-------
DataFrame
"""
# 1. calculate rolling sum (ignore NaNs)
# 2. count number of non-NaNs
# 3. average of non-NaNs
foo = lambda z: z[pandas.notnull(z)].sum()
rolling_sum = pandas.rolling_apply(data_frame, periods, foo, min_periods=1)
rolling_non_nans = pandas.stats.moments.rolling_count(data_frame, periods, freq=None, center=False, how=None)
return rolling_sum / rolling_non_nans
def rolling_functions_tests(p, d):
# Old-fashioned rolling API
assert_eq(pd.rolling_count(p, 3), dd.rolling_count(d, 3))
assert_eq(pd.rolling_sum(p, 3), dd.rolling_sum(d, 3))
assert_eq(pd.rolling_mean(p, 3), dd.rolling_mean(d, 3))
assert_eq(pd.rolling_median(p, 3), dd.rolling_median(d, 3))
assert_eq(pd.rolling_min(p, 3), dd.rolling_min(d, 3))
assert_eq(pd.rolling_max(p, 3), dd.rolling_max(d, 3))
assert_eq(pd.rolling_std(p, 3), dd.rolling_std(d, 3))
assert_eq(pd.rolling_var(p, 3), dd.rolling_var(d, 3))
# see note around test_rolling_dataframe for logic concerning precision
assert_eq(pd.rolling_skew(p, 3),
dd.rolling_skew(d, 3), check_less_precise=True)
assert_eq(pd.rolling_kurt(p, 3),
dd.rolling_kurt(d, 3), check_less_precise=True)
assert_eq(pd.rolling_quantile(p, 3, 0.5), dd.rolling_quantile(d, 3, 0.5))
assert_eq(pd.rolling_apply(p, 3, mad), dd.rolling_apply(d, 3, mad))
with ignoring(ImportError):
assert_eq(pd.rolling_window(p, 3, 'boxcar'),
dd.rolling_window(d, 3, 'boxcar'))
# Test with edge-case window sizes
assert_eq(pd.rolling_sum(p, 0), dd.rolling_sum(d, 0))
assert_eq(pd.rolling_sum(p, 1), dd.rolling_sum(d, 1))
# Test with kwargs
assert_eq(pd.rolling_sum(p, 3, min_periods=3),
dd.rolling_sum(d, 3, min_periods=3))
def next_aspect_states(planet1, planet2, start=None,
num=1, asps=None, freq='3H', scale=1):
"""return aspect state changes(station/direction) of given planets
within given time span.
"""
if not start:
start = datetime.today()
elif type(start) is str:
start = pd.to_datetime(start)
if not asps:
asps = [0, 60, 90, 120, 180]
res = dict()
# get last asp
pre_asp = previous_aspect(planet1, planet2, start=start, asps=asps, freq=freq,
scale=scale, num=1)
while len(res) < num:
next_asps = next_aspect(planet1, planet2, start=start, asps=asps,
num=10, freq=freq, scale=scale)
asps_list = pd.concat([pre_asp, next_asps])
stay_list = pd.rolling_apply(asps_list, 2, lambda xs: True if xs[0] == xs[1] else np.nan)
stay_list = stay_list.dropna()
for i in range(len(stay_list)):
i0 = asps_list.index.get_loc(stay_list.index[i]) - 1
i1 = i0 + 1
res[asps_list.index[i0]] = -1
res[asps_list.index[i1]] = 1
pre_asp = asps_list[-1:]
start = asps_list.index[-1]
return pd.Series(res)
def Rate(self, time_window):
"""Apply rate function to all time series in this query."""
if self.time_series is None:
raise RuntimeError("Rate must be called after Take*().")
if self.sample_interval is None:
raise RuntimeError("Resample() must be called prior to Rate().")
if time_window.seconds % self.sample_interval.seconds:
raise RuntimeError("Rate's time window should be divisible by sampling "
"time window (rate time window: %s, sampling time "
"window: %s)." % (time_window, self.sample_interval))
num_samples = time_window.seconds / self.sample_interval.seconds + 1
num_seconds = float(time_window.seconds)
def Rate(x):
return (x[-1] - x[0]) / num_seconds
new_time_series = []
for time_serie in self.time_series:
new_time_series.append(pandas.rolling_apply(
time_serie, num_samples, Rate)[(num_samples - 1):])
self.time_series = new_time_series
return self
def plot_cumulative_returns_by_quantile(quantile_returns, period=1, ax=None):
"""
Plots the cumulative returns of various factor quantiles.
When 'period' N is greater than 1 the cumulative returns plot is computed
building and averaging the cumulative returns of N interleaved portfolios
(started at subsequent periods 1,2,3,...,N) each one rebalancing every N
periods. This results in trading the factor at every value/signal computed
by the factor and also the cumulative returns don't dependent on a specific
starting date.
Parameters
----------
quantile_returns : pd.DataFrame
Cumulative returns by factor quantile.
period: int, optional
Period over which the daily returns are calculated
ax : matplotlib.Axes, optional
Axes upon which to plot.
Returns
-------
ax : matplotlib.Axes
"""
if ax is None:
f, ax = plt.subplots(1, 1, figsize=(18, 6))
ret_wide = quantile_returns.reset_index()\
.pivot(index='date', columns='factor_quantile', values=period)
if period > 1:
# build N portfolios each rebalancing every N periods and average them
ret_wide = pd.rolling_apply(
ret_wide,
period,
# rate of 1 period returns
lambda ret, period: ((np.nanmean(ret) + 1)**(1. / period)) - 1,
min_periods=1,
args=(period,))
cum_ret = ret_wide.add(1).cumprod()
cum_ret = cum_ret.loc[:, ::-1]
cum_ret.plot(lw=2, ax=ax, cmap=cm.RdYlGn_r)
ax.legend()
ymin, ymax = cum_ret.min().min(), cum_ret.max().max()
ax.set(ylabel='Log Cumulative Returns',
title='''Cumulative Return by Quantile
({} Period Forward Return)'''.format(period),
xlabel='',
yscale='symlog',
yticks=np.linspace(ymin, ymax, 5),
ylim=(ymin, ymax))
ax.yaxis.set_major_formatter(ScalarFormatter())
ax.axhline(1.0, linestyle='-', color='black', lw=1)
return ax
def find_denominator(df, col):
# Finds the approximate denominator used for scaling
# (used to undo feature scaling)
# Credit : http://bit.ly/1RV4w0y
vals = df[col].dropna().sort_values().round(8)
vals = pd.rolling_apply(vals, 2, lambda x: x[1] - x[0])
vals = vals[vals > 0.000001]
return vals.value_counts().idxmax()
def expected_ewmstd(self, window_length, decay_rate):
alpha = 1 - decay_rate
span = (2 / alpha) - 1
return rolling_apply(
self.raw_data,
window_length,
lambda window: ewmstd(window, span=span)[-1],
)[window_length:]
def blended_rolling_apply(series, window=2, fun=pd.np.mean):
new_series = pd.Series(np.fromiter((fun(series[:i+1]) for i in range(window - 1)), type(series.values[0])), index=series.index[:window - 1]).append(
pd.rolling_apply(series.copy(), window, fun)[window - 1:])
assert len(series) == len(new_series), (
"blended_rolling_apply should always return a series of the same length! len(series) = {0} != {1} = len(new_series".format(
len(series), len(new_series)))
assert not any(np.isnan(val) or val is None for val in new_series)
return new_series
def computeInterpStep(df):
steps = []
grouped = df.groupby(['race_id','User','laccid'])
for ix,group in grouped:
step = np.mean(pd.rolling_apply(group['ratio'],2,np.diff))
steps.append(step)
interpStep = np.mean(steps)
return interpStep
def rolling_apply(df, lookback, fn):
index_series = pd.Series(range(len(df)))
result = pd.rolling_apply(
index_series, lookback,
lambda ii: _window_apply(df, ii, fn))
result.index = df.index
return result
def find_denominator(df, col):
"""
Function that trying to find an approximate denominator used for scaling.
So we can undo the feature scaling.
"""
vals = df[col].dropna().sort_values().round(8)
vals = pd.rolling_apply(vals, 2, lambda x: x[1] - x[0])
vals = vals[vals > 0.000001]
return vals.value_counts().idxmax()
def calculate_indicator(self):
yesterday_value = lambda x: x[0]
today_value = lambda x: x[1]
previous_close = pd.rolling_apply(
np.array(self.stock.close_prices(),dtype=np.float64),
2, yesterday_value)
current_high = pd.rolling_apply(
np.array(self.stock.high_prices(),dtype=np.float64),
2, today_value)
current_low = pd.rolling_apply(
np.array(self.stock.low_prices(),dtype=np.float64),
2, today_value)
true_high = map( (lambda x,y: max(x,y)), previous_close, current_high )
true_low = map( (lambda x,y: min(x,y)), previous_close, current_low )
true_ranges = np.array(true_high,dtype=np.float64) \
- np.array(true_low,dtype=np.float64)
return pd.rolling_mean(true_ranges, self.window).tolist()
def compute_sign_change_cnt(series):
"""
method for computing sign change counts of time series data
:return: feature value
"""
if series is None or len(series) == 0:
return np.nan
sc_series = series[pd.rolling_apply(series, 2, lambda x: (x[0] > 0 > x[1]) or (x[0] < 0 < x[1])) > 0]
return len(sc_series)
def calculate_indicator(self, label):
prices = np.array(self.stock.get_data(label), dtype=np.float64)
last = lambda x: x[-1]
prices_last = pd.rolling_apply(prices, self.window, last)
first = lambda x: x[0]
prices_first = pd.rolling_apply(prices, self.window, first)
direction = prices_last - prices_first
direction[direction>0]=100
direction[direction<0]=-100
res = direction.astype(str)
res[res=='100.0']='up'
res[res=='-100.0']='down'
res[res=='0.0']='flat'
return res.tolist()
def plot_score(ax, series, labels, colors, ylabel):
"""Score plot where score is calculated as 90th percentile. Quite useful
for trends and dips analysis."""
ax.set_ylabel("Percentile of score ({})".format(ylabel))
ax.set_xlabel("Time elapsed, sec")
for s, label, color in zip(series, labels, colors):
scoref = lambda x: stats.percentileofscore(x, s.quantile(0.9))
rolling_score = pd.rolling_apply(s, min(len(s) / 15, 40), scoref)
ax.plot(s.index, rolling_score, label=label, color=color)
plt.ylim(ymin=0, ymax=105)
print(close_px)
spx_px = close_px_all['SPX']
spx_rets = spx_px / spx_px.shift(1) - 1
returns = close_px.pct_change()
corr = pd.rolling_corr(returns.AAPL, spx_rets, 125, min_periods=100)
corr.plot()
plt.show()
corr = pd.rolling_corr(returns, spx_rets, 125, min_periods=100)
corr.plot()
plt.show()
from scipy.stats import percentileofscore
score_at_2percent = lambda x: percentileofscore(x, 0.02)
result = pd.rolling_apply(returns.AAPL, 250, score_at_2percent)
result.plot()
plt.show()
'''
print('-------------------------')
# 时序案例分析
# 参数初始化
discfile = 'arima_data.xls'
forecastnum = 5
# 读取数据，指定日期列为指标，Pandas自动将“日期”列识别为Datetime格式
data = pd.read_excel(discfile, index_col=u'日期')
data = pd.DataFrame(data, dtype=np.float64)
print('data : ', data)
# 时序图
def getSpeeds(self, dfTrack):
dfTrack['SpeedX'] = pd.rolling_apply(dfTrack["AvgPosX"], 2, self.getLastDiff);
dfTrack['SpeedY'] = pd.rolling_apply(dfTrack["AvgPosY"], 2, self.getLastDiff);
dfTrack['Speed'] = np.sqrt(dfTrack['SpeedX']**2 + dfTrack['SpeedY']**2);
return dfTrack;
def rolling_profit_count(
dataframe
): # function returns sum of count of number of profit (+1) and loss trades (-1)
count = 0
for profit in dataframe:
if profit >= 0:
count = count + 1
else:
count = count - 1
return count
# Add Rolling stats to Order DF
window = 15
df_ord['Roll_Profit_Count'] = pd.rolling_apply(df_ord['Profit'], window,
rolling_profit_count, 1)
df_ord['Roll_Mean'] = pd.rolling_mean(df_ord['Profit'], window)
df_ord['Roll_std'] = pd.rolling_std(df_ord['Profit'], window)
df_ord['Roll_var'] = pd.rolling_var(df_ord['Profit'], window)
# Create Trend Ranges, based on visual inspection of previous graph, and add Trends to Order dataframe
trend_range = [0, 6, 33, 60, 77, 86, 150, 171, 207, 222, 271, 314, 331, 348]
trend_labels = [
'UP1', 'FLAT1', 'DOWN1', 'UP2', 'DOWN2', 'FLAT2', 'DOWN3', 'UP3', 'DOWN4',
'UP4', 'DOWN5', 'UP6', 'FLAT3'
]
df_ord['Trend'] = pd.cut(df_ord.Ticket, trend_range,
labels=trend_labels).astype('category')
# Order Dataframe with Trends added
def decay_linear(self, x, n):
return pd.rolling_apply(x, n, self.decay_linear_array)
def getAccelerations(self, dfTrack):
dfTrack['AccX'] = pd.rolling_apply(dfTrack["SpeedX"], 2, self.getLastDiff);
dfTrack['AccY'] = pd.rolling_apply(dfTrack["SpeedY"], 2, self.getLastDiff);
dfTrack['Acc'] = np.sqrt(dfTrack['AccX']**2 + dfTrack['AccY']**2);
return dfTrack;
def AVEDEV(self, param):
return pd.rolling_apply(param[0], param[1],
lambda x: pd.DataFrame(x).mad())
def decay_exp(self, x, f, n):
return pd.rolling_apply(x, n, self.decay_exp_array, args=[f])
def ts_compoundFn(arr, min_periods, max_periods):
if not (max_periods): max_periods = len(arr)
return pd.rolling_apply(arr,
max_periods,
lambda arr: (1 + arr).prod() - 1,
min_periods=min_periods)
data = data.sort(["id","trade_date"]).reset_index(drop=True) data = data[data.trade_date.isin(np.arange(start_date, end_date , dtype='datetime64[D]'))] data["trade_biweek"] = [ x.year * 100 + int(datetime.datetime.strftime(x,"%U"))/2 for x in data.trade_date ] data_grouped = data.groupby(["id","trade_biweek"]) data['loss'] = data_grouped.accu_value.apply(lambda x: pd.expanding_apply(x,lambda y: (y[-1]/(np.max(y)))-1)) data['biggest_loss'] = data.loc[data_grouped.loss.idxmin(),'loss'] data['biggest_loss_day'] = data.loc[data_grouped.loss.idxmin(),'trade_date'] data_result = pd.DataFrame() data_result['biweek_first_date'] = data_grouped.trade_date.first() data_result['biweek_last_date'] = data_grouped.trade_date.last() data_result['biweek_start_value'] = data_grouped.accu_value.first() data_result['biweek_last_value'] = data_grouped.accu_value.last() data_result['earning1'] = (data_result.biweek_last_value / data_result.biweek_start_value ) - 1 data_result['earning2'] = pd.concat([ pd.rolling_apply(v.biweek_last_value,2,lambda x:(x[1]/x[0])-1) for k,v in data_result.reset_index(level=0).groupby(["id"])]).values data_result['earning'] = np.where(pd.isnull(data_result['earning2']), data_result['earning1'], data_result['earning2']) data['rtn'] = data.groupby(['id']).apply(lambda y:pd.rolling_apply(y['accu_value'],2,lambda x:(x[1]/x[0])-1)).values #it's a hacking,needa fix #data['rtn'] = data.rtn.fillna(0) data_result['volatility'] = data_grouped.rtn.std() data_result['win_days'] = data[data.rtn>= 0].groupby(["id","trade_biweek"]).rtn.count() data_result['lose_days'] = data[data.rtn< 0].groupby(["id","trade_biweek"]).rtn.count() data_result['biggest_loss_day'] = data.set_index(["id","trade_biweek"]).biggest_loss_day.dropna() data_result['biggest_loss'] = data.set_index(["id","trade_biweek"]).biggest_loss.dropna()
def ts_geomeanFn(arr, min_periods, max_periods):
if not (max_periods): max_periods = len(arr)
return pd.rolling_apply(arr,
max_periods,
lambda arr: (1 + arr).prod()**(1 / len(arr)) - 1,
min_periods=min_periods)
def factor_return_rnn_predictor(df_factor_return_,
start_date=datetime(2006, 5, 1),
look_back=10,
rnn=None,
type='gru',
num_internal_projection=4,
dropout_probability=0.2,
init='he_uniform',
loss='mse',
optimizer='rmsprop',
nb_epoch=20,
batch_size=10,
save_to_csv=None,
train_freq="Monthly",
train_period=None,
verbosity=False):
if train_freq == "Monthly":
offset_begin = MonthBegin()
offset_end = MonthEnd()
else:
raise ValueError('Frequency not implemented yet')
df_factor_return = deepcopy(df_factor_return_).sort_index()
predict_start = start_date + DateOffset(days=0)
predict_end = predict_start + offset_end
last_day = df_factor_return.index[-1]
predict_df_list = []
if rnn is None:
rnn = {}
for factor in df_factor_return.columns:
rnn[factor] = RNN(look_back,
type=type,
num_internal_projection=num_internal_projection,
dropout_probability=dropout_probability,
init=init,
loss=loss,
optimizer=optimizer)
while predict_start < last_day:
print(predict_start)
if train_period is None:
df_train = df_factor_return[df_factor_return.index < predict_start]
else:
df_train = df_factor_return[
(df_factor_return.index < predict_start)
& (df_factor_return.index >=
(predict_start - DateOffset(days=train_period)))]
if verbosity:
print("train from")
print(df_train.index[0])
print("to")
print(df_train.index[-1])
df_predict = pd.concat([
df_train.ix[-(look_back - 1):],
df_factor_return[(df_factor_return.index >= predict_start)
& (df_factor_return.index <= predict_end)]
]).sort_index()
df_res = pd.DataFrame(index=df_predict.index)
for factor in df_predict.columns:
factor_series = df_train[[factor]].as_matrix()
X_train, Y_train, X_predict = series_to_matricise(
factor_series, look_back, True)
X_train = X_train.reshape([X_train.shape[0], 1, X_train.shape[1]])
rnn[factor].train(X_train,
Y_train,
nb_epoch=nb_epoch,
batch_size=batch_size)
rnn_func = lambda factor_series: rnn[factor].predict(
factor_series.reshape([1, 1, look_back]))
df_res[factor] = pd.rolling_apply(df_predict[factor], look_back,
rnn_func)
predict_df_list.append(df_res.dropna(axis=0))
predict_start = predict_end + offset_begin
predict_end = predict_start + offset_end
return pd.concat(predict_df_list).sort_index()
data_grouped = data.groupby(["id", "trade_biweek"])
data['loss'] = data_grouped.accu_value.apply(
lambda x: pd.expanding_apply(x, lambda y: (y[-1] / (np.max(y))) - 1))
data['biggest_loss'] = data.loc[data_grouped.loss.idxmin(), 'loss']
data['biggest_loss_day'] = data.loc[data_grouped.loss.idxmin(), 'trade_date']
data_result = pd.DataFrame()
data_result['biweek_start_value'] = data_grouped.accu_value.first()
data_result['biweek_last_value'] = data_grouped.accu_value.last()
data_result['earning1'] = (data_result.biweek_last_value /
data_result.biweek_start_value) - 1
data_result['earning2'] = pd.concat([
pd.rolling_apply(v.biweek_last_value, 2, lambda x: (x[1] / x[0]) - 1)
for k, v in data_result.reset_index(level=0).groupby(["id"])
]).values
#data_result['gain2'] = pd.rolling_apply(data_result['last'],2,lambda x:(x[1]/x[0])-1)
data_result['earning'] = np.where(pd.isnull(data_result['earning2']),
data_result['earning1'],
data_result['earning2'])
data['rtn'] = data.groupby(
['id']).apply(lambda y: pd.rolling_apply(y['accu_value'], 2, lambda x:
(x[1] / x[0]) - 1)).values
data_result['rtn_std'] = data_grouped.rtn.std()
import time
array_size = 100000
foo = pd.DataFrame(np.random.uniform(size=array_size))
window_size = 50
# stupid floating point arithmatic messing up the scipy version comparison
epsilon = 0.00000001
start = time.time()
a = roll_rank(foo[0].values, window_size, window_size, 0.8)
end = time.time()
print('cython ranking: {0} seconds', end - start)
def precentile_of_score(array):
return stats.percentileofscore(array, 0.8)
start = time.time()
# adjust from percentile to rank
adj_factor = window_size / 100
b = pd.rolling_apply(foo[0], window_size, precentile_of_score) * adj_factor
end = time.time()
print('percentileofscore ranking: {0} seconds', end - start)
bar = pd.DataFrame(abs(a - b) < epsilon)
if np.count_nonzero(bar[0]) == array_size - window_size + 1:
print('Correct number of equal values')
else:
print('Incorrect number of equal values')
def product(self, x, n):
return pd.rolling_apply(x, n, np.product)