- Burst detection: An unexpectedly large number of events occurring within some certain temporal or spatial region is called a burst, suggesting unusual behaviors or activities.
- Time Series Regression: (ref) Time series regression is a statistical method for predicting a future response based on the response history (known as autoregressive dynamics) and the transfer of dynamics from relevant predictors. Time series regression can help you understand and predict the behavior of dynamic systems from experimental or observational data. Time series regression is commonly used for modeling and forecasting of economic, financial, and biological systems.
- Time Series Classification: (ref) Time series classification deals with classifying the data points over the time based on its' behavior. There can be data sets which behave in an abnormal manner when comparing with other data sets. Identifying unusual and anomalous time series is becoming increasingly common for organizations
- (ref) Time series classification data differs from a regular classification problem since the attributes have an ordered sequence.
- Anomaly Detection:
- A part in the same time series.
- Finding one or more time series which are different from others.
- Some abnormal points in the same time series.
- Applied for both univariate and multivariate time series.
1df_13 = pd.read_csv(path_file, 2 index_col='timestamp', 3 parse_dates=True, # index contains dates 4 infer_datetime_format=True, # auto regconize format 5 cache_dates=True) # faster
Suppose we have data like in below, we wanna find the common length interval of all groups.
1# find the biggest gap 2df['date'].diff().max() 3 4# 4 biggest gaps 5df['date'].diff().sort_values().iloc[-5:] 6 7# starting of each window (the gap used to separate windows is '1D') 8w_starts = df.reset_index()[~(df['date'].diff() < pd.to_timedelta('1D'))].index 9 10# ending of each window 11w_ends = (w_starts[1:] - 1).append(pd.Index([df.shape-1])) 12 13# count the number of windows 14len(w_starts) 15 16# the biggest/average window size (in points) 17(w_ends - w_starts).max() 18(w_ends - w_starts).values.mean() 19 20# the biggest window size (in time range) 21pd.Timedelta((df.iloc[w_ends]['date'] - df.iloc[w_starts]['date']).max(), unit='ns')
If you wanna add a
windowcolumn to the original dataframe,
1df_tmp = df.copy() 2w_idx = 0 3for i in range(w_starts.shape): 4 df_tmp.loc[w_starts[i]:(w_ends[i]+1), 'window'] = w_idx 5 w_idx += 1 6df_tmp.window = df_tmp.window.astype(int) # convert dtype to int64
There are other cases need to be considered,
Find the gap's threshold automatically,
1from sklearn.cluster import MeanShift 2 3def find_gap_auto(df): 4 5 X = df['date'].diff().unique() 6 X = X[~np.isnat(X)] # remove 'NaT' 7 X.sort() 8 X = X.reshape(-1,1) 9 10 clustering = MeanShift().fit(X) 11 labels = clustering.labels_ 12 cluster_min = labels 13 14 gap = pd.to_timedelta((X[labels!=cluster_min].min() + X[labels==cluster_min].max())/2) 15 16 return gap