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Multi Objective Optimization

usman_aliusman_ali Member Posts: 2 Learner I
 Hello,

I am looking for the rapidminer solution to solve my following problem:

I have 10 number of inputs features and two numeric features are used for multi-objective 

Inputs 1...10 , Objective 1, Objective 2

My goal select features that have a minimum value of Objective 1 and  Objective 2.

For Example:
Select the building physics features that have a minimum energy cost and energy usage.

Currently, so far solution available online is used for classification algorithm but in my case objective variable is a simple numeric value.

Answers

  • lionelderkrikorlionelderkrikor Moderator, RapidMiner Certified Analyst, Member Posts: 560   Unicorn
    HI @usman_ali,

    Here an example of (simple) process using the "Golf" Dataset : 
    In this dataset, we can assimilate the "Temperature" and "Humidity" to your Objective 1 and 2 attributes
    and the 3 other attributes to your input 1 , 2, etc attributes.
    You can adapt this process to your own data : 
    <?xml version="1.0" encoding="UTF-8"?><process version="9.1.000-BETA2">
      <context>
        <input/>
        <output/>
        <macros/>
      </context>
      <operator activated="true" class="process" compatibility="9.1.000-BETA2" expanded="true" name="Process">
        <parameter key="logverbosity" value="init"/>
        <parameter key="random_seed" value="2001"/>
        <parameter key="send_mail" value="never"/>
        <parameter key="notification_email" value=""/>
        <parameter key="process_duration_for_mail" value="30"/>
        <parameter key="encoding" value="SYSTEM"/>
        <process expanded="true">
          <operator activated="true" class="retrieve" compatibility="9.1.000-BETA2" expanded="true" height="68" name="Retrieve Golf" width="90" x="112" y="85">
            <parameter key="repository_entry" value="//Samples/data/Golf"/>
          </operator>
          <operator activated="true" class="filter_examples" compatibility="9.1.000-BETA2" expanded="true" height="103" name="Filter Examples" width="90" x="313" y="85">
            <parameter key="parameter_expression" value=""/>
            <parameter key="condition_class" value="custom_filters"/>
            <parameter key="invert_filter" value="false"/>
            <list key="filters_list">
              <parameter key="filters_entry_key" value="Temperature.eq.64\.0"/>
              <parameter key="filters_entry_key" value="Humidity.eq.65\.0"/>
            </list>
            <parameter key="filters_logic_and" value="false"/>
            <parameter key="filters_check_metadata" value="true"/>
          </operator>
          <connect from_op="Retrieve Golf" from_port="output" to_op="Filter Examples" to_port="example set input"/>
          <connect from_op="Filter Examples" from_port="example set output" to_port="result 1"/>
          <portSpacing port="source_input 1" spacing="0"/>
          <portSpacing port="sink_result 1" spacing="0"/>
          <portSpacing port="sink_result 2" spacing="0"/>
        </process>
      </operator>
    </process>
    
    Hope it helps .. (if this process don't answer to your need, can you be more explicit by giving an example..)


    Regards,

    Lionel

  • usman_aliusman_ali Member Posts: 2 Learner I
    Thanks @lionelderkrikor for help.

    But I am looking for optimization algorithm solution.

    𝑥 = { 𝑋 wall , 𝑋 roof , 𝑋 ground , 𝑋 window , 𝑋 light , 𝑋 cool , 𝑋 heat }, in the solution space 𝑋,

    the objective are
    𝑍1 (x ∗) is energy cost
    𝑍2 (x ∗) is energy  consumption
     find the vector(s) 𝑥 ∗ that: Minimise: 𝑍(𝑥 ∗ ) = {𝑍1 (x ∗), 𝑍2 (x ∗)}  define the Pareto front

    So the goal is to get optimal space X values that to minimize the objective value and 
     
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