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https://issues.apache.org/jira/browse/SYSTEMML-1973?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Janardhan updated SYSTEMML-1973:
--------------------------------
    Description: 
This Epic tracks the algorithm optimization related improvements, and their 
testing.

*Phase 1:* Addition of support for bayesian optimization.

This procedure constructs a probabilistic model for *f\(x\)*, and then exploits 
this model to make decisions about where in input space to next evaluate the 
function, while integrating out uncertainity. The essential philosophy is to 
use all of the information available from previous evaluations of *f\(x\)*.

 

When performing Bayesian Optimization, 

**1. one must select a prior over functions that will express assumptions about 
the function being optimized. – *We choose Gaussian Process Prior*

2. need an acquisition function, which is used to construct a utility function 
from the model posterior, allowing us to determine the next point to evaluate.

 

*Phase 2:* Addition of Model selection & cross validation support at Engine 
level or API side.

Once the bayesian optimization is supported, the module is integrated into our 
API as described in SYSTEMML-1962 . By wrapping the dml functions in the 
optimization algorithms and invoking them either by java or python scripts.

 

*Phase 3:* Addition of Optimization test functions.

Testing of the training is done with the help of the well known benchmark 
functions, SYSTEMML-1974 , which can be imported or can be invoked with the 
help of python scripts or just by importing the function into the dml script at 
hand.

  was:
This Epic tracks the algorithm optimization related improvements, and their 
testing.

*Phase 1:* Addition of support for bayesian optimization.

This procedure constructs a probabilistic model for f(x), and then exploits 
this model to make decisions about where in input space to next evaluate the 
function, while integrating out uncertainity. The essential philosophy is to 
use all of the information available from previous evaluations of f(x).

 

When performing Bayesian Optimization, 

**1. one must select a prior over functions that will express assumptions about 
the function being optimized. – *We choose Gaussian Process Prior*

2. need an acquisition function, which is used to construct a utility function 
from the model posterior, allowing us to determine the next point to evaluate.

 

*Phase 2:* Addition of Model selection & cross validation support at Engine 
level or API side.

Once the bayesian optimization is supported, the module is integrated into our 
API as described in SYSTEMML-1962 . By wrapping the dml functions in the 
optimization algorithms and invoking them either by java or python scripts.

 

*Phase 3:* Addition of Optimization test functions.

Testing of the training is done with the help of the well known benchmark 
functions, SYSTEMML-1974 , which can be imported or can be invoked with the 
help of python scripts or just by importing the function into the dml script at 
hand.


> Optimization of parameters, Hyperparameters, and testing.
> ---------------------------------------------------------
>
>                 Key: SYSTEMML-1973
>                 URL: https://issues.apache.org/jira/browse/SYSTEMML-1973
>             Project: SystemML
>          Issue Type: Epic
>          Components: Algorithms, APIs, Documentation, Test
>            Reporter: Janardhan
>            Assignee: Janardhan
>            Priority: Major
>
> This Epic tracks the algorithm optimization related improvements, and their 
> testing.
> *Phase 1:* Addition of support for bayesian optimization.
> This procedure constructs a probabilistic model for *f\(x\)*, and then 
> exploits this model to make decisions about where in input space to next 
> evaluate the function, while integrating out uncertainity. The essential 
> philosophy is to use all of the information available from previous 
> evaluations of *f\(x\)*.
>  
> When performing Bayesian Optimization, 
> **1. one must select a prior over functions that will express assumptions 
> about the function being optimized. – *We choose Gaussian Process Prior*
> 2. need an acquisition function, which is used to construct a utility 
> function from the model posterior, allowing us to determine the next point to 
> evaluate.
>  
> *Phase 2:* Addition of Model selection & cross validation support at Engine 
> level or API side.
> Once the bayesian optimization is supported, the module is integrated into 
> our API as described in SYSTEMML-1962 . By wrapping the dml functions in the 
> optimization algorithms and invoking them either by java or python scripts.
>  
> *Phase 3:* Addition of Optimization test functions.
> Testing of the training is done with the help of the well known benchmark 
> functions, SYSTEMML-1974 , which can be imported or can be invoked with the 
> help of python scripts or just by importing the function into the dml script 
> at hand.



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