Setting Up Parameters of the Non-Linear Regression Method

Below is the example of using the SetMs operation to change equation parameters. The request contains an instance of opened modeling container, parameters of operation execution, equation settings for theNonlinear Regression method, and the pattern for getting changed data. After execution the operation returns the model that contains the changed equation.

SOAP request:

<s:Envelope xmlns:s="http://schemas.xmlsoap.org/soap/envelope/">

<s:Body xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">

<id>KBKDOJOCAFNBFOAELHBGKDPMBJEKBCBENLOGCJBPHJJCNGNA!M!S!CFJCKJKOCAFNBFOAELBHKDONIACJNPIIEFLMPEGJAMDLKGLLF</id>

</tMs>

<item>

<calculationChain>Change</calculationChain>

</metamodel>

</problem>

</item>

</pattern>

<meta>

<item>

<type>Problem</type>

<its>

<Item>

<type>Model</type>

<model>

<its>

<it>

<kind>NonLinearRegression</kind>

<method>LinTrend</method>

</missingData>

</initialApproximation>

<its>

<Item>

<slice>

<id>MyInputVavable|A</id>

<n>MyInputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

</Item>

</its>

</operands>

</coefficients>

</nonLinearRegression>

</method>

</it>

</its>

</formulas>

</transform>

</period>

</model>

</Item>

</its>

</calculationChain>

</metamodel>

</problemMd>

</item>

</meta>

<item>

</formulas>

</equationsFormula>

</transform>

</modelPattern>

</calcChainPattern>

<useSourceName>false</useSourceName>

<levelFormat>Short</levelFormat>

</visualControllerPattern>

</metamodel>

</problem>

</item>

</metaGet>

</tArg>

</SetMs>

</s:Body>

</s:Envelope>

SOAP response:

<soapenv:Envelope xmlns:soapenv="http://schemas.xmlsoap.org/soap/envelope/">

<soapenv:Body>

<id>KBKDOJOCAFNBFOAELHBGKDPMBJEKBCBENLOGCJBPHJJCNGNA!M!S!CFJCKJKOCAFNBFOAELBHKDONIACJNPIIEFLMPEGJAMDLKGLLF</id>

</id>

MODELSPACE

<n>Modeling container</n>

1580

</obDesc>

</obInst>

</period>

<nodes>

OBJ1628

1627

</scenDesc>

</it>

OBJ5371

1627

</scenDesc>

</it>

</nodes>

</scenarios>

<item>

<id>MODEL_NEW</id>

<n>MODEL_NEW</n>

<type>Problem</type>

<its>

<Item>

<n>MyInputVavable</n>

<type>Variable</type>

<graphMeta>{"Geometry":{"x":20,"y":10,"width":150,"height":50},"ChartOptions":{"chart":{"defaultSeriesType":"line","mixed":true,"backgroundColor":"rgba(0, 0, 0, 0.000000)"},"plotOptions":{"series":{"dataLabels":{"formatter":"%Autovalue","dataFormat":"#,##0.00"}}},"tooltip":{"formatter":"Value: %Autovalue\nDate: %PointName","enabled":true,"backgroundType":"none","style":{"fontFamily":"Arial","fontSize":"12px","color":"#000000"}},"yAxis":[{"labels":{"enabled":true,"dataFormat":"#,##0.00"},"title":{"text":""}}],"xAxis":{"tickInterval":2,"labels":{},"title":{}},"series":[{"entryKey":1,"scenarioKey":4294967295,"serieType":"fact","showInLegend":true,"type":"line","color":"rgba(129, 129, 129, 1)","borderColor":"rgba(129, 129, 129, 1)","borderWidth":0,"lineColor":"rgba(129, 129, 129, 1)","zIndex":1,"legendIndex":0,"visible":true,"background":{"color":"rgba(129, 129, 129, 1)","type":"color"},"marker":{"enabled":false,"symbol":"circle","fillColor":"#FFFFFF","lineWidth":1.5,"lineColor":null},"dataLabels":{"formatter":"%Autovalue"},"trendLine":{}}]}}</graphMeta>

<slice>

<id>MyInputVavable|A</id>

<n>MyInputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

<fullName>MyInputVavable|A</fullName>

<originalName>MyInputVavable</originalName>

<originalShortName>MyInputVavable</originalShortName>

</chainVariable>

</Item>

<Item>

<n>MyOutputVavable</n>

<type>Variable</type>

<graphMeta>{"Geometry":{"x":30,"y":140,"width":150,"height":50}}</graphMeta>

<slice>

<id>MyOutputVavable|A</id>

<n>MyOutputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

<fullName>MyOutputVavable|A</fullName>

<originalName>MyOutputVavable</originalName>

<originalShortName>MyOutputVavable</originalShortName>

</chainVariable>

</Item>

<Item>

<n>MyOutputVavable|A[t] = MyInputVavable|A[t] * a + b, 1990A1-(From parent)</n>

<type>Model</type>

<model>

<its>

<it>

<kind>NonLinearRegression</kind>

<method>LinTrend</method>

</specifiedTerm>

</missingData>

</initialApproximation>

<slice>

<id>MyOutputVavable|A</id>

<n>MyOutputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

<lag />

<termToText>{MyOutputVavable|A[t]}</termToText>

<lag>PrecidingValue</lag>

<dependence>Linear</dependence>

</inversion>

<slice>

<id>MyOutputVavable|A</id>

<n>MyOutputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

</termInfo>

</unitInfo>

</result>

<its>

<Item>

<slice>

<id>MyInputVavable|A</id>

<n>MyInputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

<termToText>{TS(MyInputVavable|A[t+1], Linear)}</termToText>

<lag>PrecidingValue</lag>

<dependence>Linear</dependence>

</inversion>

<slice>

<id>MyInputVavable|A</id>

<n>MyInputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

</termInfo>

</unitInfo>

</Item>

<Item>

<slice>

<id>MyInputVavable|A</id>

<n>MyInputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

<termToText>{MyInputVavable|A[t]}</termToText>

<lag>PrecidingValue</lag>

<dependence>Linear</dependence>

</inversion>

<slice>

<id>MyInputVavable|A</id>

<n>MyInputVavable|A</n>

<its>

<Item>

<id>

</id>

</Item>

</its>

</selections>

<its>

<Item>

</Item>

</its>

</parametrizedDimensions>

</unitInfo>

</slice>

</termInfo>

</unitInfo>

</Item>

</its>

</operands>

</coefficients>

<optimizationMethod>LevenbergMarquardt</optimizationMethod>

</nonLinearRegression>

<lag>PrecidingValue</lag>

<dependence>Linear</dependence>

</inversionInfo>

</method>

</it>

</its>

</formulas>

<kind>Simple</kind>

</transform>

</model>

</Item>

</its>

</calculationChain>

<its />

</freeVariables>

</visualController>

<suppressEmptyArea>SerieBounds</suppressEmptyArea>

</suppressEmptyFilter>

</metamodel>

<its />

</scenarios>

</period>

</details>

</problemMd>

</item>

</meta>

</SetMsResult>

</soapenv:Body>

</soapenv:Envelope>

JSON request:

{
 "SetMs" : 
  {
   "tMs" : 
    {
     "id" : "KBKDOJOCAFNBFOAELHBGKDPMBJEKBCBENLOGCJBPHJJCNGNA!M!S!CFJCKJKOCAFNBFOAELBHKDONIACJNPIIEFLMPEGJAMDLKGLLF"
    },
   "tArg" : 
    {
     "pattern" : 
      {
       "obInst" : "true",
       "item" : 
        {
         "key" : "89669",
         "problem" : 
          {
           "metamodel" : 
            {
             "calculationChain" : "Change"
            }
          }
        }
      },
     "meta" : 
      {
       "item" : 
        {
         "k" : "89669",
         "type" : "Problem",
         "problemMd" : 
          {
           "metamodel" : 
            {
             "calculationChain" : 
              {
               "its" : 
                {
                 "Item" : 
                  {
                   "k" : "4",
                   "type" : "Model",
                   "model" : 
                    {
                     "transform" : 
                      {
                       "formulas" : 
                        {
                         "its" : 
                          {
                           "it" : 
                            [
                              {
                               "k" : "0",
                               "kind" : "NonLinearRegression",
                               "method" : 
                                {
                                 "nonLinearRegression" : 
                                  {
                                   "missingData" : 
                                    {
                                     "method" : "LinTrend"
                                    },
                                   "confidenceLevel" : "0.9",
                                   "useDerivatives" : "true",
                                   "initialApproximation" : 
                                    {
                                     "d" : 
                                      [
                                        "0.15",
                                        "0.09"
                                      ]
                                    },
                                   "maxIterations" : "500",
                                   "maxStep" : "0.4",
                                   "dampingFactorTolerance" : "0.6",
                                   "expression" : "@_2:0[] * a + b",
                                   "operands" : 
                                    {
                                     "its" : 
                                      {
                                       "Item" : 
                                        {
                                         "slice" : 
                                          {
                                           "k" : "0",
                                           "id" : "MyInputVavable|A",
                                           "n" : "MyInputVavable|A",
                                           "vis" : "true",
                                           "variableKey" : "2",
                                           "stubKey" : "89671",
                                           "selections" : 
                                            {
                                             "its" : 
                                              {
                                               "Item" : 
                                                {
                                                 "id" : 
                                                  {
                                                   "id" : "89683"
                                                  },
                                                 "variant" : "1"
                                                }
                                              }
                                            },
                                           "aggregator" : "None",
                                           "parametrizedDimensions" : 
                                            {
                                             "its" : 
                                              {
                                               "Item" : 
                                                {
                                                 "dimension" : "0",
                                                 "parameter" : "0"
                                                }
                                              }
                                            },
                                           "unitInfo" : 
                                            {
                                             "unit" : "4294967295",
                                             "measure" : "4294967295",
                                             "baseUnit" : "4294967295",
                                             "unitsDimensionKey" : "0"
                                            },
                                           "level" : "Year"
                                          }
                                        }
                                      }
                                    },
                                   "coefficients" : 
                                    {
                                     "it" : 
                                      [
                                        "a",
                                        "b"
                                      ]
                                    }
                                  }
                                }
                              }
                            ]
                          }
                        }
                      },
                     "period" : 
                      {
                       "identificationStartDate" : "1990-01-01",
                       "identificationEndDate" : "2006-01-01",
                       "forecastStartDate" : "2006-01-02",
                       "forecastEndDate" : "2010-01-01",
                       "autoPeriod" : "0"
                      }
                    }
                  }
                }
              }
            }
          }
        }
      },
     "metaGet" : 
      {
       "obInst" : "true",
       "scenarios" : "Get",
       "period" : "true",
       "item" : 
        {
         "key" : "89669",
         "problem" : 
          {
           "metamodel" : 
            {
             "calculationChain" : "Get",
             "calcChainPattern" : 
              {
               "modelPattern" : 
                {
                 "transform" : 
                  {
                   "formulaCount" : "true",
                   "formulas" : 
                    {
                     "method" : ""
                    },
                   "equationsFormula" : 
                    {
                     "method" : ""
                    },
                   "kind" : "true"
                  }
                }
              },
             "visualControllerPattern" : 
              {
               "variableRubricatorKey" : "true",
               "useSourceName" : "false",
               "freeVariables" : "true",
               "levelFormat" : "Short"
              }
            },
           "scenarios" : "Get",
           "details" : "true",
           "useSavedCoefficients" : "true"
          }
        }
      }
    }
  }
}

JSON response:

{
 "SetMsResult" : 
  {
   "id" : 
    {
     "id" : "KBKDOJOCAFNBFOAELHBGKDPMBJEKBCBENLOGCJBPHJJCNGNA!M!S!CFJCKJKOCAFNBFOAELBHKDONIACJNPIIEFLMPEGJAMDLKGLLF"
    },
   "meta" : 
    {
     "obInst" : 
      {
       "obDesc" : 
        {
         "@fullUrl" : "http:\/\/v-shp-development.dev.fs.fsight.world\/",
         "@isShortcut" : "0",
         "@isLink" : "0",
         "@ver" : "4",
         "@hf" : "0",
         "i" : "MODELSPACE",
         "n" : "Modeling container",
         "k" : "1581",
         "c" : "5121",
         "p" : "1580",
         "h" : "0",
         "hasPrv" : "0",
         "ic" : "0",
         "isPermanent" : "1",
         "isTemp" : "0"
        }
      },
     "dirty" : "0",
     "period" : 
      {
       "start" : "1970-01-01",
       "end" : "2020-12-31"
      },
     "scenarios" : 
      {
       "nodes" : 
        {
         "it" : 
          [
            {
             "@isFolder" : "0",
             "k" : "1628",
             "id" : "OBJ1628",
             "n" : "Basic",
             "vis" : "1",
             "scenDesc" : 
              {
               "@fullUrl" : "http:\/\/v-shp-development.dev.fs.fsight.world\/",
               "@isShortcut" : "0",
               "@isLink" : "0",
               "@ver" : "0",
               "@hf" : "0",
               "i" : "OBJ1628",
               "n" : "Basic",
               "k" : "1628",
               "c" : "5124",
               "p" : "1627",
               "h" : "0",
               "hasPrv" : "0",
               "ic" : "0"
              },
             "internalKey" : "1629"
            },
            {
             "@isFolder" : "0",
             "k" : "5371",
             "id" : "OBJ5371",
             "n" : "Basic (copy1)",
             "vis" : "1",
             "scenDesc" : 
              {
               "@fullUrl" : "http:\/\/v-shp-development.dev.fs.fsight.world\/",
               "@isShortcut" : "0",
               "@isLink" : "0",
               "@ver" : "0",
               "@hf" : "0",
               "i" : "OBJ5371",
               "n" : "Basic (copy1)",
               "k" : "5371",
               "c" : "5124",
               "p" : "1627",
               "h" : "0",
               "hasPrv" : "0",
               "ic" : "0"
              },
             "internalKey" : "5372"
            }
          ]
        }
      },
     "item" : 
      {
       "k" : "89669",
       "id" : "MODEL_NEW",
       "n" : "MODEL_NEW",
       "vis" : "1",
       "type" : "Problem",
       "problemMd" : 
        {
         "metamodel" : 
          {
           "k" : "89670",
           "calculationChain" : 
            {
             "its" : 
              {
               "Item" : 
                [
                  {
                   "k" : "1",
                   "n" : "MyInputVavable",
                   "vis" : "1",
                   "type" : "Variable",
                   "excluded" : "0",
                   "graphMeta" : "{"Geometry":{"x":20,"y":10,"width":150,"height":50},"ChartOptions":{"chart":{"defaultSeriesType":"line","mixed":true,"backgroundColor":"rgba(0, 0, 0, 0.000000)"},"plotOptions":{"series":{"dataLabels":{"formatter":"%Autovalue","dataFormat":"#,##0.00"}}},"tooltip":{"formatter":"Value: %Autovalue\nDate: %PointName","enabled":true,"backgroundType":"none","style":{"fontFamily":"Arial","fontSize":"12px","color":"#000000"}},"yAxis":[{"labels":{"enabled":true,"dataFormat":"#,##0.00"},"title":{"text":""}}],"xAxis":{"tickInterval":2,"labels":{},"title":{}},"series":[{"entryKey":1,"scenarioKey":4294967295,"serieType":"fact","showInLegend":true,"type":"line","color":"rgba(129, 129, 129, 1)","borderColor":"rgba(129, 129, 129, 1)","borderWidth":0,"lineColor":"rgba(129, 129, 129, 1)","zIndex":1,"legendIndex":0,"visible":true,"background":{"color":"rgba(129, 129, 129, 1)","type":"color"},"marker":{"enabled":false,"symbol":"circle","fillColor":"#FFFFFF","lineWidth":1.5,"lineColor":null},"dataLabels":{"formatter":"%Autovalue"},"trendLine":{}}]}}",
                   "chainVariable" : 
                    {
                     "slice" : 
                      {
                       "k" : "0",
                       "id" : "MyInputVavable|A",
                       "n" : "MyInputVavable|A",
                       "vis" : "1",
                       "variableKey" : "1",
                       "stubKey" : "89671",
                       "selections" : 
                        {
                         "its" : 
                          {
                           "Item" : 
                            {
                             "id" : 
                              {
                               "id" : "89683"
                              },
                             "variant" : "1"
                            }
                          }
                        },
                       "aggregator" : "None",
                       "parametrizedDimensions" : 
                        {
                         "its" : 
                          {
                           "Item" : 
                            {
                             "dimension" : "0",
                             "parameter" : "0"
                            }
                          }
                        },
                       "unitInfo" : 
                        {
                         "unit" : "4294967295",
                         "measure" : "4294967295",
                         "baseUnit" : "4294967295",
                         "unitsDimensionKey" : "0"
                        },
                       "level" : "Year"
                      },
                     "fullName" : "MyInputVavable|A",
                     "originalName" : "MyInputVavable",
                     "originalShortName" : "MyInputVavable",
                     "useCustomName" : "0"
                    }
                  },
                  {
                   "k" : "2",
                   "n" : "MyOutputVavable",
                   "vis" : "1",
                   "type" : "Variable",
                   "excluded" : "0",
                   "graphMeta" : "{"Geometry":{"x":30,"y":140,"width":150,"height":50}}",
                   "chainVariable" : 
                    {
                     "slice" : 
                      {
                       "k" : "0",
                       "id" : "MyOutputVavable|A",
                       "n" : "MyOutputVavable|A",
                       "vis" : "1",
                       "variableKey" : "2",
                       "stubKey" : "89671",
                       "selections" : 
                        {
                         "its" : 
                          {
                           "Item" : 
                            {
                             "id" : 
                              {
                               "id" : "89683"
                              },
                             "variant" : "2"
                            }
                          }
                        },
                       "aggregator" : "None",
                       "parametrizedDimensions" : 
                        {
                         "its" : 
                          {
                           "Item" : 
                            {
                             "dimension" : "0",
                             "parameter" : "0"
                            }
                          }
                        },
                       "unitInfo" : 
                        {
                         "unit" : "4294967295",
                         "measure" : "4294967295",
                         "baseUnit" : "4294967295",
                         "unitsDimensionKey" : "0"
                        },
                       "level" : "Year"
                      },
                     "fullName" : "MyOutputVavable|A",
                     "originalName" : "MyOutputVavable",
                     "originalShortName" : "MyOutputVavable",
                     "useCustomName" : "0"
                    }
                  },
                  {
                   "k" : "4",
                   "id" : "OBJ4",
                   "n" : "MyOutputVavable|A[t] = MyInputVavable|A[t] * a + b, 1990A1-(From parent)",
                   "vis" : "1",
                   "type" : "Model",
                   "excluded" : "0",
                   "graphMeta" : "",
                   "model" : 
                    {
                     "transform" : 
                      {
                       "formulaCount" : "1",
                       "formulas" : 
                        {
                         "its" : 
                          {
                           "it" : 
                            [
                              {
                               "k" : "0",
                               "kind" : "NonLinearRegression",
                               "method" : 
                                {
                                 "nonLinearRegression" : 
                                  {
                                   "missingData" : 
                                    {
                                     "specifiedVector" : "",
                                     "method" : "LinTrend",
                                     "methodParameter" : "5",
                                     "specifiedValue" : "0",
                                     "specifiedTerm" : 
                                      {
                                       "k" : "4294967295"
                                      }
                                    },
                                   "confidenceLevel" : "0.9",
                                   "useDerivatives" : "1",
                                   "initialApproximation" : 
                                    {
                                     "d" : 
                                      [
                                        "0.15",
                                        "0.09"
                                      ]
                                    },
                                   "maxIterations" : "500",
                                   "maxStep" : "0.4",
                                   "dampingFactorTolerance" : "0.6",
                                   "expression" : "@_2:0[] * a + b",
                                   "result" : 
                                    {
                                     "slice" : 
                                      {
                                       "k" : "0",
                                       "id" : "MyOutputVavable|A",
                                       "n" : "MyOutputVavable|A",
                                       "vis" : "1",
                                       "variableKey" : "1",
                                       "stubKey" : "89671",
                                       "selections" : 
                                        {
                                         "its" : 
                                          {
                                           "Item" : 
                                            {
                                             "id" : 
                                              {
                                               "id" : "89683"
                                              },
                                             "variant" : "2"
                                            }
                                          }
                                        },
                                       "aggregator" : "None",
                                       "parametrizedDimensions" : 
                                        {
                                         "its" : 
                                          {
                                           "Item" : 
                                            {
                                             "dimension" : "0",
                                             "parameter" : "0"
                                            }
                                          }
                                        },
                                       "unitInfo" : 
                                        {
                                         "unit" : "4294967295",
                                         "measure" : "4294967295",
                                         "baseUnit" : "4294967295",
                                         "unitsDimensionKey" : "0"
                                        },
                                       "level" : "Year"
                                      },
                                     "lag" : "",
                                     "key" : "0",
                                     "termToText" : "{MyOutputVavable|A[t]}",
                                     "termToInnerText" : "@_1:0[]",
                                     "termInfo" : 
                                      {
                                       "k" : "4294967295",
                                       "lag" : "0",
                                       "inversion" : 
                                        {
                                         "type" : "None",
                                         "lag" : "PrecidingValue",
                                         "previousLag" : "-1",
                                         "seasonality" : "None",
                                         "dependence" : "Linear",
                                         "K" : "3"
                                        },
                                       "slice" : 
                                        {
                                         "k" : "0",
                                         "id" : "MyOutputVavable|A",
                                         "n" : "MyOutputVavable|A",
                                         "vis" : "1",
                                         "variableKey" : "1",
                                         "stubKey" : "89671",
                                         "selections" : 
                                          {
                                           "its" : 
                                            {
                                             "Item" : 
                                              {
                                               "id" : 
                                                {
                                                 "id" : "89683"
                                                },
                                               "variant" : "2"
                                              }
                                            }
                                          },
                                         "aggregator" : "None",
                                         "parametrizedDimensions" : 
                                          {
                                           "its" : 
                                            {
                                             "Item" : 
                                              {
                                               "dimension" : "0",
                                               "parameter" : "0"
                                              }
                                            }
                                          },
                                         "unitInfo" : 
                                          {
                                           "unit" : "4294967295",
                                           "measure" : "4294967295",
                                           "baseUnit" : "4294967295",
                                           "unitsDimensionKey" : "0"
                                          },
                                         "level" : "Year"
                                        },
                                       "date" : "1899-12-30"
                                      },
                                     "unitInfo" : 
                                      {
                                       "unit" : "4294967295",
                                       "measure" : "4294967295",
                                       "baseUnit" : "4294967295",
                                       "unitsDimensionKey" : "0"
                                      },
                                     "included" : "0"
                                    },
                                   "operands" : 
                                    {
                                     "its" : 
                                      {
                                       "Item" : 
                                        [
                                          {
                                           "k" : "0",
                                           "slice" : 
                                            {
                                             "k" : "0",
                                             "id" : "MyInputVavable|A",
                                             "n" : "MyInputVavable|A",
                                             "vis" : "1",
                                             "variableKey" : "2",
                                             "stubKey" : "89671",
                                             "selections" : 
                                              {
                                               "its" : 
                                                {
                                                 "Item" : 
                                                  {
                                                   "id" : 
                                                    {
                                                     "id" : "89683"
                                                    },
                                                   "variant" : "1"
                                                  }
                                                }
                                              },
                                             "aggregator" : "None",
                                             "parametrizedDimensions" : 
                                              {
                                               "its" : 
                                                {
                                                 "Item" : 
                                                  {
                                                   "dimension" : "0",
                                                   "parameter" : "0"
                                                  }
                                                }
                                              },
                                             "unitInfo" : 
                                              {
                                               "unit" : "4294967295",
                                               "measure" : "4294967295",
                                               "baseUnit" : "4294967295",
                                               "unitsDimensionKey" : "0"
                                              },
                                             "level" : "Year"
                                            },
                                           "lag" : "1",
                                           "key" : "1",
                                           "termToText" : "{TS(MyInputVavable|A[t+1], Linear)}",
                                           "termToInnerText" : "@_2:0[1][9:0]",
                                           "termInfo" : 
                                            {
                                             "k" : "4294967295",
                                             "lag" : "1",
                                             "inversion" : 
                                              {
                                               "type" : "TS",
                                               "lag" : "PrecidingValue",
                                               "previousLag" : "-1",
                                               "seasonality" : "None",
                                               "dependence" : "Linear",
                                               "K" : "3"
                                              },
                                             "slice" : 
                                              {
                                               "k" : "0",
                                               "id" : "MyInputVavable|A",
                                               "n" : "MyInputVavable|A",
                                               "vis" : "1",
                                               "variableKey" : "2",
                                               "stubKey" : "89671",
                                               "selections" : 
                                                {
                                                 "its" : 
                                                  {
                                                   "Item" : 
                                                    {
                                                     "id" : 
                                                      {
                                                       "id" : "89683"
                                                      },
                                                     "variant" : "1"
                                                    }
                                                  }
                                                },
                                               "aggregator" : "None",
                                               "parametrizedDimensions" : 
                                                {
                                                 "its" : 
                                                  {
                                                   "Item" : 
                                                    {
                                                     "dimension" : "0",
                                                     "parameter" : "0"
                                                    }
                                                  }
                                                },
                                               "unitInfo" : 
                                                {
                                                 "unit" : "4294967295",
                                                 "measure" : "4294967295",
                                                 "baseUnit" : "4294967295",
                                                 "unitsDimensionKey" : "0"
                                                },
                                               "level" : "Year"
                                              },
                                             "date" : "1899-12-30"
                                            },
                                           "unitInfo" : 
                                            {
                                             "unit" : "4294967295",
                                             "measure" : "4294967295",
                                             "baseUnit" : "4294967295",
                                             "unitsDimensionKey" : "0"
                                            },
                                           "included" : "0"
                                          },
                                          {
                                           "k" : "1",
                                           "slice" : 
                                            {
                                             "k" : "0",
                                             "id" : "MyInputVavable|A",
                                             "n" : "MyInputVavable|A",
                                             "vis" : "1",
                                             "variableKey" : "2",
                                             "stubKey" : "89671",
                                             "selections" : 
                                              {
                                               "its" : 
                                                {
                                                 "Item" : 
                                                  {
                                                   "id" : 
                                                    {
                                                     "id" : "89683"
                                                    },
                                                   "variant" : "1"
                                                  }
                                                }
                                              },
                                             "aggregator" : "None",
                                             "parametrizedDimensions" : 
                                              {
                                               "its" : 
                                                {
                                                 "Item" : 
                                                  {
                                                   "dimension" : "0",
                                                   "parameter" : "0"
                                                  }
                                                }
                                              },
                                             "unitInfo" : 
                                              {
                                               "unit" : "4294967295",
                                               "measure" : "4294967295",
                                               "baseUnit" : "4294967295",
                                               "unitsDimensionKey" : "0"
                                              },
                                             "level" : "Year"
                                            },
                                           "lag" : "0",
                                           "key" : "2",
                                           "termToText" : "{MyInputVavable|A[t]}",
                                           "termToInnerText" : "@_2:0[]",
                                           "termInfo" : 
                                            {
                                             "k" : "4294967295",
                                             "lag" : "0",
                                             "inversion" : 
                                              {
                                               "type" : "None",
                                               "lag" : "PrecidingValue",
                                               "previousLag" : "-1",
                                               "seasonality" : "None",
                                               "dependence" : "Linear",
                                               "K" : "3"
                                              },
                                             "slice" : 
                                              {
                                               "k" : "0",
                                               "id" : "MyInputVavable|A",
                                               "n" : "MyInputVavable|A",
                                               "vis" : "1",
                                               "variableKey" : "2",
                                               "stubKey" : "89671",
                                               "selections" : 
                                                {
                                                 "its" : 
                                                  {
                                                   "Item" : 
                                                    {
                                                     "id" : 
                                                      {
                                                       "id" : "89683"
                                                      },
                                                     "variant" : "1"
                                                    }
                                                  }
                                                },
                                               "aggregator" : "None",
                                               "parametrizedDimensions" : 
                                                {
                                                 "its" : 
                                                  {
                                                   "Item" : 
                                                    {
                                                     "dimension" : "0",
                                                     "parameter" : "0"
                                                    }
                                                  }
                                                },
                                               "unitInfo" : 
                                                {
                                                 "unit" : "4294967295",
                                                 "measure" : "4294967295",
                                                 "baseUnit" : "4294967295",
                                                 "unitsDimensionKey" : "0"
                                                },
                                               "level" : "Year"
                                              },
                                             "date" : "1899-12-30"
                                            },
                                           "unitInfo" : 
                                            {
                                             "unit" : "4294967295",
                                             "measure" : "4294967295",
                                             "baseUnit" : "4294967295",
                                             "unitsDimensionKey" : "0"
                                            },
                                           "included" : "1"
                                          }
                                        ]
                                      }
                                    },
                                   "coefficients" : 
                                    {
                                     "it" : 
                                      [
                                        "a",
                                        "b"
                                      ]
                                    },
                                   "optimizationMethod" : "LevenbergMarquardt",
                                   "tolerance" : "0.0001",
                                   "useDefaultInitValues" : "0"
                                  },
                                 "inversionInfo" : 
                                  {
                                   "type" : "None",
                                   "lag" : "PrecidingValue",
                                   "previousLag" : "-1",
                                   "seasonality" : "None",
                                   "dependence" : "Linear",
                                   "K" : "3"
                                  },
                                 "doUseR" : "0",
                                 "supportsR" : "1"
                                },
                               "calendarLevel" : "Year",
                               "outputSliceKey" : "0"
                              }
                            ]
                          }
                        },
                       "kind" : "Simple"
                      },
                     "warnings" : "",
                     "readOnly" : "0"
                    }
                  }
                ]
              }
            },
           "visualController" : 
            {
             "variableRubricatorKey" : "89671",
             "freeVariables" : 
              {
               "its" : ""
              },
             "userRPath" : "",
             "isRExist" : "0"
            },
           "suppressEmptyFilter" : 
            {
             "suppressEmpty" : "0",
             "suppressEmptyArea" : "SerieBounds"
            },
           "readOnly" : "0",
           "variableTestUseR" : "0",
           "calculateIdentOnFact" : "0"
          },
         "scenarios" : 
          {
           "its" : ""
          },
         "details" : 
          {
           "period" : 
            {
             "identificationStartDate" : "1990-01-01",
             "identificationEndDate" : "2018-04-24",
             "forecastStartDate" : "2018-04-25",
             "forecastEndDate" : "2020-01-01",
             "identificationStartDateParamID" : "",
             "identificationEndDateParamID" : "",
             "forecastStartDateParamID" : "",
             "forecastEndDateParamID" : "",
             "autoPeriod" : "0",
             "identificationStartOffset" : "0",
             "identificationEndOffset" : "0",
             "forecastEndOffset" : "0",
             "isIdentStartCorrect" : "1",
             "isIdentEndCorrect" : "1",
             "isForecastEndCorrect" : "1"
            },
           "currentPoint" : "2018-04-25"
          },
         "useSavedCoefficients" : "0",
         "useScenarios" : "0",
         "readOnly" : "0"
        }
      }
    }
  }
}

The SetMsNonLinearRegr function changes the method of equation calculation. Input parameters:

ms. Instance of the opened modeling container.
modelKey. Key of the model that contains the equation.
eqKey. Equation key.
eq. Opened equation instance. To execute the example, the equation must include input and output variables.

After executing the function returns a model that contains the equation.

public static MsItem SetMsNonLinearRegr(MsId ms, ulong modelKey, ulong eqKey, MsModel eq)
{   // Get input variable
    MsFormulaTransformVariable inp = eq.transform.inputs.its.GetValue(0) as MsFormulaTransformVariable;
    // Set operation execution parameters
    var setMsOp = new SetMs();
    setMsOp.tMs = ms;
    setMsOp.tArg = new SetMsArg()
    {  // Set data change pattern
        pattern = new MsMdPattern()
        {
            item = new MsItemPattern()
            {  // Specify model key
                key = modelKey,
                problem = new MsProblemPattern()
                {
                    metamodel = new MsMetaModelPattern()
                    {
                        calculationChain = ListOperation.Change
                    }
                }
            }
        }, // Set data that must be changed
        meta = new MsMd()
        {
            item = new MsItem()
            {  // Specify model key
                k = modelKey,
                type = MsItemType.Problem,
                problemMd = new MsProblem()
                {
                    metamodel = new MsMetaModel()
                    {
                        calculationChain = new MsCalculationChainEntries()
                        {
                            its = new MsCalculationChainEntry[]
                            {
                                new MsCalculationChainEntry()
                                {
                                    k = eqKey,
                                    type = MsCalculationChainType.Model,
                                    model = new MsModel()
                                    {   // Set calculation periods
                                        period = new MsModelPeriod()
                                        {   
                                            autoPeriod = 0,                                        
                                            identificationStartDate = DateTime.Parse(&quot;01.01.1990&quot;),
                                            identificationEndDate = DateTime.Parse(&quot;01.01.2006&quot;),
                                            forecastStartDate = DateTime.Parse(&quot;02.01.2006&quot;),
                                            forecastEndDate = DateTime.Parse(&quot;01.01.2010&quot;)
                                        },
                                        transform = new MsFormulaTransform()
                                        {
                                            formulas = new TsFormulas()
                                            {
                                                its = new TsFormula[]
                                                {
                                                    new TsFormula()
                                                    {
                                                        kind = TsFormulaKind.NonLinearRegression,
                                                        method = new TsMethod()
                                                        {   // Set method calculation parameters                                    
                                                            nonLinearRegression = new TsNonLinearRegressionMethod()
                                                            {   // Set missing data treatment method
                                                                missingData = new StatMissingData(){method = StatMissingDataMethod.LinTrend},
                                                                //Set confidence limits relevance
                                                                confidenceLevel = 0.90,
                                                                // Use derivatives for improving accuracy of calculation
                                                                useDerivatives = true,
                                                                // Set maximum number of iterations for method calculation
                                                                maxIterations = 500,
                                                                // Set accuracy of determining normalization parameter
                                                                dampingFactorTolerance = 0.6,
                                                                // Set variables used in calculation
                                                                operands = new MsFormulaTerms()
                                                                {
                                                                    its = new MsFormulaTerm[]
                                                                    {
                                                                        new MsFormulaTerm()
                                                                            {slice = inp.slices.its.GetValue(0) as MsFormulaTransformSlice}
                                                                    }
                                                                }, // Set calculation formula
                                                                expression = &quot;@_&quot; + inp.k + &quot;:0[] * a + b&quot;,
                                                                // Set coefficients
                                                                coefficients = new string[] {&quot;a&quot;, &quot;b&quot;},
                                                                // Set initial approximations of coefficients
                                                                initialApproximation = new double[] {0.15, 0.09},
                                                                // Set maximum distance between approximations
                                                                maxStep = 0.4
                                                            }
                                                        }
                                                    }
                                                }
                                            }
                                        }
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }, // Set changed data extraction pattern
        metaGet = new MsMdPattern()
        {
            scenarios = ListOperation.Get,
            period = true,
            item = new MsItemPattern()
            {
                key = modelKey,
                problem = new MsProblemPattern()
                {
                    details = true,
                    scenarios = ListOperation.Get,
                    useSavedCoefficients = true,
                    metamodel = new MsMetaModelPattern()
                    {
                        calculationChain = ListOperation.Get,
                        calcChainPattern = new MsCalculationChainPattern()
                        {
                            modelPattern = new MsModelPattern()
                            {
                                transform = new MsFormulaTransformPattern()
                                {
                                    kind = true,
                                    formulaCount = true,
                                    formulas = new TsFormulaPattern()
                                    {
                                        method = new TsMethodPattern() { }
                                    },
                                    equationsFormula = new TsFormulaPattern()
                                    {
                                        method = new TsMethodPattern() { }
                                    }
                                }
                            }
                        },
                        visualControllerPattern = new MsMetaModelVisualControllerPattern()
                        {
                            variableRubricatorKey = true,
                            levelFormat = MsLevelFormat.Short,
                            useSourceName = false,
                            freeVariables = true
                        }
                    }
                }
            }
        }
    }; // Create a proxy object for operation execution
    var somClient = new SomPortTypeClient();
    // Set operation execution parameters
    var result = somClient.SetMs(setMsOp);
    return result.meta.item;
}