Forecast Data Trends with Confluent Platform for Apache Flink

Forecasting helps predict future values in time-series data by analyzing historical trends. In real-time streaming environments, continuous forecasting enables businesses to anticipate changes, optimize operations, and detect deviations as data flows in.

With Apache Flink®, you can perform continuous forecasting and anomaly detection directly within your familiar SQL-based environment.

Flink provides the Flink SQL forecast function, which enables you to perform real-time analysis and gain actionable insights from your streaming data without needing in-depth data science expertise. The ML_FORECAST function uses ARIMA (Autoregressive Integrated Moving Average), optimized for real-time performance, to deliver accurate forecasts in a streaming context.

Your data must include:

A timestamp column.
A target column representing some quantity of interest at each timestamp.

ARIMA model

ARIMA, which stands for Autoregressive Integrated Moving Average, is a powerful statistical technique used for time series analysis and forecasting. It combines three key components to model and predict future values based on past data:

Autoregressive (AR): This component uses past values of the time series to predict future values. It assumes that current observations are influenced by previous observations.
Integrated (I): This refers to the differencing of raw observations to make the time series stationary. Stationary data has consistent statistical properties over time, which is crucial for accurate forecasting.
Moving Average (MA): This component incorporates the relationship between an observation and a residual error from a moving average model applied to previous observations.

ARIMA models are used widely in various fields, including finance, economics, and weather forecasting, to analyze time-dependent data and make predictions. They are particularly effective when dealing with non-seasonal time series data that exhibits trends or patterns over time.

The model is typically represented as ARIMA(p,q,d), where:

p: The number of autoregressive terms
q: The order of the moving average
d: The degree of differencing

By adjusting these parameters, analysts can fine-tune the model to best fit their specific time series data and improve forecasting accuracy.

Be aware that forecasting accuracy can vary greatly, based on many parameters, and there is no guarantee of correctness in predictions made by using ARIMA and machine learning.

Forecasting parameters

The following parameters are supported for forecasting.

Model configuration

Use the following parameters to configure the ML_FORECAST function.

enableStl

Default: FALSE

Enable STL (Seasonal-Trend decomposition using Loess smoothing) decomposition. If set to TRUE, the time series is decomposed into trend, seasonal, and remainder components.

STL is a statistical method that separates a time series into three additive components: trend, seasonal, and remainder.

The trend component captures the long-term direction or movement in the data.
The seasonal component captures regular, predictable patterns that repeat over fixed periods.
The remainder component captures random fluctuations that aren’t explained by trend or seasonality.

This decomposition helps improve forecasting accuracy by enabling the ARIMA model to better analyze and predict the underlying patterns in your data.

evalWindowSize

Default: 5
Validation: Must be ≥ 1

Keeps the last evalWindowSize squared errors for both RMSE and AIC calculations. RMSE uses the rolling sum of these errors, while AIC uses the count (n) and sum of those same errors. A smaller window makes both metrics more responsive to recent errors; a larger window smooths out short-term noise.

horizon

Default: 1

Number of future time periods to forecast. This value defines how many steps ahead the model predicts.

m

Default: If enableStl is TRUE, seasonality is estimated using ACF.
Validation: m >= 0 and m < (minTrainingSize / 2)

The seasonal period length. If enableStl is TRUE, the model uses an ACF (Autocorrelation Function) to estimate the seasonal period length. The ACF measures the correlation between a time series and its lagged versions at different time intervals. This helps to identify repeating patterns and seasonal cycles in the data by detecting how strongly current values relate to past values at various lags.

maxTrainingSize

Default: 512
Validation: maxTrainingSize must be greater than minTrainingSize and less than 10000

Maximum number of historical data points used for training. This value limits the training window to recent data.

minTrainingSize

Default: 128
Validation: minTrainingSize must be less than maxTrainingSize and greater than 1

Minimum number of data points required for training. The model won’t train if the quantity of available data is less than this value.

p

Default: NULL
Validation: If provided, must be >= 0

Order of the AR (Autoregressive) term in the ARIMA model, which defines the number of lagged values used in the model. This value represents the number of past values that directly influence the current prediction.

If p is not provided, the model uses auto-ARIMA to determine the best order.

q

Default: NULL
Validation: If provided, must be >= 0

Order of the MA (Moving Average) term in the ARIMA model, which defines the number of lagged error terms in the model. This value represents the number of past prediction errors that influence the current prediction.

If q is not provided, the model uses auto-ARIMA to determine the best order.

d

Default: NULL
Validation: If provided, must be >= 0

Order of differencing in the ARIMA model, which defines the number of times the data is differenced to achieve stationarity. A value of 0 means no differencing, 1 means first difference, and so on.

If d is not provided, the model uses auto-ARIMA to determine the best order.

updateInterval

Default: 5

Frequency of model updates. This value defines how often the model retrains with new data.

Forecast results

The following fields are returned by the ML_FORECAST function.

aic

Type: DOUBLE

The AIC (Akaike Information Criterion) at the time the forecast was generated, calculated over the last evalWindowSize errors.

AIC is a statistical measure used to evaluate and compare the quality of different models. It balances model accuracy against complexity by penalizing models with more parameters. Lower AIC values indicate better model performance, which helps to identify the optimal model configuration that provides the best fit to the data without overfitting.

forecast_value

Type: DOUBLE

The forecast value at the timestamp.

lower_bound

Type: DOUBLE

The lower confidence interval for the forecasted value.

rmse

Type: DOUBLE

The RMSE (Root Mean Square Error) at the time the forecast was generated, calculated over the last evalWindowSize errors.

RMSE measures the difference between the predicted and actual values in a time series by calculating the square root of the average of the squared differences between the predicted and actual values. A lower RMSE indicates better model performance, because it means the model’s predictions are closer to the actual values.

timestamp

Type: TIMESTAMP

The LocalDateTime for this forecast.

upper_bound

Type: DOUBLE

The upper confidence interval for the forecasted value.

Example

Create a test table that has a timestamp field for your time series data.

CREATE TABLE orders (
    total_orderunits double,
    summed_ts TIMESTAMP(3) NOT NULL,
    WATERMARK FOR summed_ts AS summed_ts
);

Insert mock time series data into the table.

INSERT INTO orders (total_orderunits, summed_ts) VALUES
(102.12, TIMESTAMP '2024-11-19 10:00:00.000'),
(103.45, TIMESTAMP '2024-11-19 10:01:00.000'),
(101.89, TIMESTAMP '2024-11-19 10:02:00.000'),
(104.23, TIMESTAMP '2024-11-19 10:03:00.000'),
(102.78, TIMESTAMP '2024-11-19 10:04:00.000'),
(102.12, TIMESTAMP '2024-11-19 10:05:00.000'),
(103.45, TIMESTAMP '2024-11-19 10:06:00.000'),
(101.89, TIMESTAMP '2024-11-19 10:07:00.000'),
(104.23, TIMESTAMP '2024-11-19 10:08:00.000'),
(102.78, TIMESTAMP '2024-11-19 10:09:00.000'),
(102.12, TIMESTAMP '2024-11-19 10:10:00.000'),
(103.45, TIMESTAMP '2024-11-19 10:11:00.000'),
(101.89, TIMESTAMP '2024-11-19 10:12:00.000'),
(104.23, TIMESTAMP '2024-11-19 10:13:00.000'),
(102.78, TIMESTAMP '2024-11-19 10:14:00.000'),
(102.12, TIMESTAMP '2024-11-19 10:15:00.000'),
(103.45, TIMESTAMP '2024-11-19 10:16:00.000'),
(101.89, TIMESTAMP '2024-11-19 10:17:00.000'),
(104.23, TIMESTAMP '2024-11-19 10:18:00.000'),
(102.78, TIMESTAMP '2024-11-19 10:19:00.000'),
(102.12, TIMESTAMP '2024-11-19 10:20:00.000'),
(103.45, TIMESTAMP '2024-11-19 10:21:00.000'),
(101.89, TIMESTAMP '2024-11-19 10:22:00.000'),
(104.23, TIMESTAMP '2024-11-19 10:23:00.000'),
(102.78, TIMESTAMP '2024-11-19 10:24:00.000'),
(102.12, TIMESTAMP '2024-11-19 10:25:00.000'),
(103.45, TIMESTAMP '2024-11-19 10:26:00.000'),
(101.89, TIMESTAMP '2024-11-19 10:27:00.000'),
(104.23, TIMESTAMP '2024-11-19 10:28:00.000'),
(102.78, TIMESTAMP '2024-11-19 10:29:00.000');

Run the following statement to perform a forecast on the mock data in the orders table.

SELECT
    ML_FORECAST(total_orderunits, summed_ts, JSON_OBJECT('p' VALUE 1, 'q' VALUE 1, 'd' VALUE 1, 'minTrainingSize' VALUE 10, 'enableStl' VALUE false, 'horizon' VALUE 5))
    OVER (
        ORDER BY summed_ts
        RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) AS forecast
FROM orders;

Run the following statement to perform a forecast with AutoArima on the mock data in the orders table.

SELECT
    ML_FORECAST(total_orderunits, summed_ts, JSON_OBJECT('minTrainingSize' VALUE 10, 'enableStl' VALUE false))
    OVER (
        ORDER BY summed_ts
        RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW) AS forecast
FROM orders;

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