
Overview
The long-memory vector autoregressive (LMVAR) model is to analyze and forecast large number of time-series when they are influenced by both (a) evolution histories of a set of unobserved factors commonly affecting all or many time-series and (b) histories of hidden components affecting idiosyncratic components of individual time-series.
With objective data-driven constraints, the LMVAR algorithm can estimate the influences of longer histories of the unobserved factors and hidden components. The algorithm accommodates wider ranges of values of model learning parameters. The wider ranges can further enhance the power of machine learning.
Current version of the LMVAR algorithm estimates: (a) vector autoregressive (VAR) coefficients of the common components and univariate autoregressive (AR) coefficients of the idiosyncratic components, (b) implied VAR coefficients of the vector time-series, (c) forecasts of the vector time-series, and (d) impulse response to several simultaneous shocks.
Highlights
- Many social (trends, polls), sporting, economic (indicators), business (trading, sales, marketing), natural, and engineering events can be represented quantitatively by (hourly, daily, weekly, monthly, quarterly, yearly) time-series. Researches and reports reveal that (a) many of these time-series interact one another directly or though underlying common factors and (b) many time-series are influenced by their own histories as well. Vector autoregressive (VAR) model is the simplest model trying to find out predictive model of linear, mutual and temporal causality underlying these time-series.
- The long-memory vector autoregressive (LMVAR) algorithm estimates influences of longer histories of time-series or common factors with objective data-driven constraints. Without constraints, “estimated influences of long histories” can be contaminated by all kinds of random coincidences. Subjective constraints need specific assumptions which may not apply to real data sets at hand. The data-driven constraints make LMVAR accommodate wider range of values of model parameters, especially model learning parameters. The wider ranges can further enhance the power of machine learning.
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Dimension | Description | Cost/host/hour |
|---|---|---|
ml.m5.xlarge Inference (Batch) Recommended | Model inference on the ml.m5.xlarge instance type, batch mode | $0.10 |
ml.m5.xlarge Inference (Real-Time) Recommended | Model inference on the ml.m5.xlarge instance type, real-time mode | $0.10 |
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Version release notes
LMVAR algorithm is to analyze and forecast many time-series when they are influenced by a set of unobserved factors commonly affecting all or many time-series and by hidden components affecting idiosyncratic components of individual time-series.
Current version of LMVAR algorithm estimates: (a) vector autoregressive (VAR) coefficients of the common components and univariate autoregressive (AR) coefficients of the idiosyncratic components, (b) implied VAR coefficients of the vector time-series, (c) forecasts of the vector time-series, and (d) impulse response to several simultaneous shocks.
Additional details
Inputs
- Summary
The LMVAR algorithm takes, as input data, multiple time-series data contained in a CSV (comma separated value) data table, in a format of a CSV text-string or a CSV text-file.
Each row of the data table is for values of an individual time-series (TS). Row header is the label or symbol of the time-series. Each column is for values of all time-series at a specific moment in time. Column header is the time-index or time-stamp of the moment.
- Input MIME type
- text/csv
Input data descriptions
The following table describes supported input data fields for real-time inference and batch transform.
Field name | Description | Constraints | Required |
|---|---|---|---|
Values of time stamp | Each row of the data table is for values of an individual time-series (TS). Row header is the label or symbol of the time-series. Each column is for values of all time-series at a specific moment in time. Column header is the time-index or time-stamp of the moment. The first data column is for the earliest time and the last column for the most recent time. The current version of LMVAR requires equally spaced time-stamps. | Type: FreeText | Yes |
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