slearn 0.1.6

A package linking symbolic representation with sklearn for time series prediction

slearn

A package linking symbolic representation with scikit-learn machine learning for time series prediction.

Symbolic representations of time series have proved their usefulness in the field of time series motif discovery, clustering, classification, forecasting, anomaly detection, etc. Symbolic time series representation methods do not only reduce the dimensionality of time series but also speedup the downstream time series task. It has been demonstrated by [S. Elsworth and S. Güttel, Time series forecasting using LSTM networks: a symbolic approach, arXiv, 2020] that symbolic forecasting has greatly reduce the sensitivity of hyperparameter settings for Long Short Term Memory networks. How to appropriately deploy machine learning algorithm on the level of symbols instead of raw time series poses a challenge to the interest of applications. To boost the development of research community on symbolic representation, we develop this Python library to simplify the process of machine learning algorithm practice on symbolic representation.

Now let's get started!

Install the slearn package simply by

$ pip install slearn

Support Classifiers	Parameter call
Multi-layer Perceptron	'MLPClassifier'
K-Nearest Neighbors	'KNeighborsClassifier'
Gaussian Naive Bayes	'GaussianNB'
Decision Tree	'DecisionTreeClassifier'
Support Vector Classification	'SVC'
Radial-basis Function Kernel	'RBF'
Logistic Regression	'LogisticRegression'
Quadratic Discriminant Analysis	'QuadraticDiscriminantAnalysis'
AdaBoost classifier	'AdaBoostClassifier'
Random Forest	'RandomForestClassifier'
LightGBM	'LGBM'

Symbolic machine learning prediction

Import the package

from slearn import symbolicML

We can predict any symbolic sequence by choosing the classifiers available in scikit-learn.

string = 'aaaabbbccd'
sbml = symbolicML(classifier_name="MLPClassifier", ws=3, random_seed=0, verbose=0)
x, y = sbml.encode(string)
pred = sbml.forecast(x, y, step=5, hidden_layer_sizes=(10,10), learning_rate_init=0.1)
print(pred) #  ['d', 'b', 'a', 'b', 'b'] 

Also, you can use it by passing into parameters of dictionary form

string = 'aaaabbbccd'
sbml = symbolicML(classifier_name="MLPClassifier", ws=3, random_seed=0, verbose=0)
x, y = sbml.encode(string)
params = {'hidden_layer_sizes':(10,10), 'activation':'relu', 'learning_rate_init':0.1}
pred = sbml.forecast(x, y, step=5, **params)
print(pred) # ['d', 'b', 'a', 'b', 'b'] # the prediction

The parameter settings for the chosen classifier follow the same as the scikit-learn library, so just ensure that parameters are existing in the scikit-learn classifiers. More details are refer to scikit-learn website.

Time series forecasting with symbolic representation

Load libraries.

import pandas as pd
import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt
from slearn import *

time_series = pd.read_csv("Amazon.csv") # load the required dataset, here we use Amazon stock daily close price.
ts = time_series.Close.values

Set the number of symbols you would like to predict.

step = 50

You can select the available classifiers and symbolic representation method (currently we support SAX and ABBA) for prediction. Similarly, the parameters of the chosen classifier follow the same as the scikit-learn library. We usually deploy ABBA symbolic representation, since it achieves better forecasting against SAX.

slean leverages user-friendly API, time series forecasting follows:

• Step 1: Define the windows size (features size), the forecasting steps, symbolic representation method (SAX or fABBA) and classifier.

• Step 2: Transform time series into symbols with user specified parameters defined for symbolic representation.

• Step 3: Define the classifier parameters and forecast the future values.

Use Gaussian Naive Bayes method:

sl = slearn(method='fABBA',  ws=3, step=step, classifier_name="GaussianNB") # step 1
sl.set_symbols(series=ts, tol=0.01, alpha=0.2) # step 2
sklearn_params = {'var_smoothing':0.001} # step 3
abba_nb_pred = sl.predict(**sklearn_params) # step 3

For the last two lines, they can also be replaced with the alternative way in a clear form:

abba_nb_pred = sl.predict(var_smoothing=0.001) # step 3

This follows the same as below.

Try neural network models method:

sl = slearn(method='fABBA', ws=3, step=step, classifier_name="MLPClassifier") # step 1
sl.set_symbols(series=ts, tol=0.01, alpha=0.2)  # step 2
sklearn_params = {'hidden_layer_sizes':(20,80), 'learning_rate_init':0.1} # step 3
abba_nn_pred = sl.predict(**sklearn_params) # step 3

Now we try to preduct real-world time series. We can plot the prediction and compare the results.

import pandas as pd
import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt
from slearn import * 
np.random.seed(0)

time_series = pd.read_csv("Amazon.csv")
ts = time_series.Close.values
length = len(ts)
train, test = ts[:round(0.9*length)], ts[round(0.9*length):]

sl = slearn(method='fABBA', ws=8, step=1000, classifier_name="GaussianNB")
sl.set_symbols(series=train, tol=0.01, alpha=0.1) 
abba_nb_pred = sl.predict(var_smoothing=0.001)
sl = slearn(method='fABBA', ws=8, step=1000, classifier_name="DecisionTreeClassifier")
sl.set_symbols(series=train, tol=0.01, alpha=0.1) 
abba_nn_pred = sl.predict(max_depth=10, random_state=0)
sl = slearn(method='fABBA', ws=8, step=1000, classifier_name="KNeighborsClassifier")
sl.set_symbols(series=train, tol=0.01, alpha=0.1) 
abba_kn_pred = sl.predict(n_neighbors=10)
sl = slearn(method='fABBA', ws=8, step=100, classifier_name="SVC")
sl.set_symbols(series=train, tol=0.01, alpha=0.1) 
abba_svc_pred = sl.predict(C=20)
min_len = np.min([len(test), len(abba_nb_pred), len(abba_nn_pred)])

plt.figure(figsize=(20, 5))
sns.set(font_scale=1.5, style="whitegrid")
sns.lineplot(data=test[:min_len], linewidth=6, color='k', label='ground truth')
sns.lineplot(data=abba_nb_pred[:min_len], linewidth=6, color='tomato', label='prediction (ABBA - GaussianNB)')
sns.lineplot(data=abba_nn_pred[:min_len], linewidth=6, color='m', label='prediction (ABBA - DecisionTreeClassifier)')
sns.lineplot(data=abba_nn_pred[:min_len], linewidth=6, color='c', label='prediction (ABBA - KNeighborsClassifier)')
sns.lineplot(data=abba_svc_pred[:min_len], linewidth=6, color='yellowgreen', label='prediction (ABBA - Support Vector Classification)')
plt.legend()
plt.tick_params(axis='both', labelsize=15)
plt.show()

Flexible symbolic sequence generator

slearn library also contains functions for the generation of strings of tunable complexity using the LZW compressing method as base to approximate Kolmogorov complexity.

from slearn import *
df_strings = LZWStringLibrary(symbols=3, complexity=[3, 9])
df_strings

Processing: 2 of 2

	nr_symbols	LZW_complexity	length	string
0	3	3	3	BCA
1	3	9	12	ABCBBCBBABCC

df_iters = pd.DataFrame()
for i, string in enumerate(df_strings['string']):
    kwargs = df_strings.iloc[i,:-1].to_dict()
    seed_string = df_strings.iloc[i,-1]
    df_iter = RNN_Iteration(seed_string, iterations=2, architecture='LSTM', **kwargs)
    df_iter.loc[:, kwargs.keys()] = kwargs.values()
    df_iters = df_iters.append(df_iter)
df_iter.reset_index(drop=True, inplace=True)

...

df_iters.reset_index(drop=True, inplace=True)
df_iters

	jw	dl	total_epochs	seq_test	seq_forecast	total_time	nr_symbols	LZW_complexity	length
0	1.000000	1.0	12	ABCABCABCA	ABCABCABCA	2.685486	3	3	3
1	1.000000	1.0	14	ABCABCABCA	ABCABCABCA	2.436733	3	3	3
2	0.657143	0.5	36	CBBCBBABCC	AABCABCABC	3.352712	3	9	12
3	0.704762	0.4	36	CBBCBBABCC	ABCBABBBBB	3.811584	3	9	12