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    Long-Memory Vector Autoregression, LMVAR

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    Deployed on AWS
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    Long-Memory Vector Autoregression (LMVAR) to analyze and forecast multiple time-series influenced by common factors and hidden components.

    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.

    Details

    Delivery method

    Latest version

    Deployed on AWS

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    Pricing

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    Long-Memory Vector Autoregression, LMVAR

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    Pricing is based on actual usage, with charges varying according to how much you consume. Subscriptions have no end date and may be canceled any time.
    Additional AWS infrastructure costs may apply. Use the AWS Pricing Calculator  to estimate your infrastructure costs.

    Usage costs (118)

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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
    ml.m5.xlarge Training
    Recommended
    Algorithm training on the ml.m5.xlarge instance type
    $0.10
    ml.m4.4xlarge Inference (Batch)
    Model inference on the ml.m4.4xlarge instance type, batch mode
    $0.10
    ml.g4dn.4xlarge Inference (Batch)
    Model inference on the ml.g4dn.4xlarge instance type, batch mode
    $0.10
    ml.m5.4xlarge Inference (Batch)
    Model inference on the ml.m5.4xlarge instance type, batch mode
    $0.10
    ml.m4.16xlarge Inference (Batch)
    Model inference on the ml.m4.16xlarge instance type, batch mode
    $0.10
    ml.p3.16xlarge Inference (Batch)
    Model inference on the ml.p3.16xlarge instance type, batch mode
    $0.10
    ml.m5.2xlarge Inference (Batch)
    Model inference on the ml.m5.2xlarge instance type, batch mode
    $0.10
    ml.g4dn.2xlarge Inference (Batch)
    Model inference on the ml.g4dn.2xlarge instance type, batch mode
    $0.10

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    Usage information

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    Delivery details

    Amazon SageMaker algorithm

    An Amazon SageMaker algorithm is a machine learning model that requires your training data to make predictions. Use the included training algorithm to generate your unique model artifact. Then deploy the model on Amazon SageMaker for real-time inference or batch processing. Amazon SageMaker is a fully managed platform for building, training, and deploying machine learning models at scale.

    Deploy the model on Amazon SageMaker AI using the following options:
    Before deploying the model, train it with your data using the algorithm training process. You're billed for software and SageMaker infrastructure costs only during training. Duration depends on the algorithm, instance type, and training data size. When training completes, the model artifacts save to your Amazon S3 bucket. These artifacts load into the model when you deploy for real-time inference or batch processing. For more information, see Use an Algorithm to Run a Training Job  .
    Deploy the model as an API endpoint for your applications. When you send data to the endpoint, SageMaker processes it and returns results by API response. The endpoint runs continuously until you delete it. You're billed for software and SageMaker infrastructure costs while the endpoint runs. AWS Marketplace models don't support Amazon SageMaker Asynchronous Inference. For more information, see Deploy models for real-time inference  .
    Deploy the model to process batches of data stored in Amazon Simple Storage Service (Amazon S3). SageMaker runs the job, processes your data, and returns results to Amazon S3. When complete, SageMaker stops the model. You're billed for software and SageMaker infrastructure costs only during the batch job. Duration depends on your model, instance type, and dataset size. AWS Marketplace models don't support Amazon SageMaker Asynchronous Inference. For more information, see Batch transform for inference with Amazon SageMaker AI  .
    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
    https://github.com/i4cast/aws/blob/main/long_memory_vector_autoregressive_model/input/Weekly_VTS_6Yr.csv
    https://github.com/i4cast/aws/blob/main/long_memory_vector_autoregressive_model/input/Weekly_VTS_6Yr.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

    Support

    Vendor support

    For questions or call-back number, please send email to i4cast LLC at prod.i4cast@gmail.com .

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