12 H3_C1 -5.975478 -0.00229 H3 -> C1
13 H1_C2 4.632142 -0.00268 H1 -> C2
14 H2_C2 4.809949 -0.00996 H2 -> C2
15 H3_C2 -4.803055 -0.00695 H3 -> C2
16 BIAS_C1 -11.870050 0.00869 BIAS -> C1
17 BIAS_C2 -7.664741 0.00352 BIAS -> C2
Value of Objective Function = 0.1531232148
Levenberg-Marquardt Termination Criteria
This section lists the termination criteria for the Levenberg-Marquardt optimization.
MLP with 3 Hidden Units
Levenberg-Marquardt Optimization
*** Termination Criteria ***
Minimum Iterations . . . . . . . . . . . . . . . -1
Maximum Iterations . . . . . . . . . . . . . . . 100
Maximum Function Calls. . . . . . . . . . . . . . 2147483647
Maximum CPU Time . . . . . . . . . . . . . . . . 604800
ABSGCONV Gradient Criterion . . . . . . . . . . . 0.0000100
GCONV Gradient Criterion . . . . . . . . . . . . 1E-8
GCONV2 Gradient Criterion . . . . . . . . . . . . 0
ABSFCONV Function Criterion . . . . . . . . . . . 0
FCONV Function Criterion . . . . . . . . . . . . 0.0001000
FCONV2 Function Criterion . . . . . . . . . . . . 0
FSIZE Parameter . . . . . . . . . . . . . . . . . 0
ABSXCONV Parameter Change Criterion . . . . . . . 0
XCONV Parameter Change Criterion . . . . . . . . 0
XSIZE Parameter . . . . . . . . . . . . . . . . . 0
ABSCONV Function Criterion . . . . . . . . . . . -1.341E154
*** Other Control Parameters ***
Trust Region Initial Radius Factor . . . . . . . 1.00000
Singularity Tolerance (SINGULAR) . . . . . . . . 1E-8
Levenberg-Marquardt Iteration Log
At the start of optimization, the procedure lists the number of active constraints, the current value of the objective function, the maximum
gradient element, and the radius. The iteration history includes the following:
the iteration number (iter)
q
the number of iteration restarts (rest)
q
the number of active constraints (act)
q
the value of the objective function (optcrit)
q
the difference between the adjacent objective functions (difcrit)
q
the maximum of the absolute (projected) gradient components (maxgrad)
q
the value of lamba
q
the value of rho
q
The optimization results section lists information specific for the optimization technique.
MLP with 3 Hidden Units
Levenberg-Marquardt Optimization
Scaling Update of More (1978)
Number of Parameter Estimates 17
Optimization Start: Active Constraints= 0 Criterion= 0.153
Maximum Gradient Element= 0.046 Radius= 1.000
Iter rest nfun act optcrit difcrit maxgrad lambda rho
1 0 5 0 0.1007 0.0524 0.0708 0.0138 0.582
2 0 9 0 0.0883 0.0124 0.0589 0.417 0.330
3 0 15 0 0.0546 0.0336 0.0493 0.00993 0.674
4 0 19 0 0.0255 0.0291 0.0726 0.00154 0.667
5 0 21 0 0.0233 0.00227 0.136 0 0.0960
6 0 23 0 0.003321 0.0200 0.0154 0 0.897
7 0 24 0 0.000742 0.00258 0.00889 5.65E-7 0.816
8 0 25 0 0.000283 0.000459 0.00683 0 0.636
9 0 26 0 0.0000632 0.00022 0.00147 0 0.789
10 0 27 0 6.4334E-6 0.000057 0.00018 0 0.908
11 0 28 0 1.1769E-6 5.257E-6 0.00006 0 0.823
12 0 29 0 2.6787E-7 9.09E-7 0.00002 0 0.776
13 0 30 0 1.2592E-7 1.42E-7 0.00002 0 0.532
14 0 32 0 1.6879E-8 1.09E-7 2.89E-6 308E-15 0.869
Optimization Results: Iterations= 14 Function Calls= 33 Jacobian Calls= 15
Active Constraints= 0 Criterion= 1.6879056E-8
Maximum Gradient Element= 2.8916E-6 Lambda= 3.08E-13 Rho= 0.8685 Radius= 26.94
NOTE: ABSGCONV convergence criterion satisfied.
Parameter Estimates (MLP Weights)
Optimization Results
Parameter Estimates
------------------------------------------------------------------------------
Parameter Estimate Gradient Label
------------------------------------------------------------------------------
1 X_H1 -0.377915 1.2972E-6 X -> H1
2 Y_H1 -0.665105 2.8916E-6 Y -> H1
3 X_H2 1.720212 8.9422E-8 X -> H2
4 Y_H2 -0.043669 1.63254E-7 Y -> H2
5 X_H3 0.487788 -3.1918E-7 X -> H3
6 Y_H3 -0.801489 -5.7188E-7 Y -> H3
7 BIAS_H1 0.875418 1.87012E-6 BIAS -> H1
8 BIAS_H2 1.340638 -1.1246E-7 BIAS -> H2
9 BIAS_H3 -0.649604 -7.5073E-8 BIAS -> H3
10 H1_C1 388.611382 -1.7823E-9 H1 -> C1
11 H2_C1 289.584211 -1.6285E-9 H2 -> C1
12 H3_C1 -309.435371 1.04029E-9 H3 -> C1
13 H1_C2 177.046552 -1.9849E-9 H1 -> C2
14 H2_C2 118.043485 1.37679E-8 H2 -> C2
15 H3_C2 -149.150661 -1.1747E-8 H3 -> C2
16 BIAS_C1 -580.555136 -2.0973E-9 BIAS -> C1
17 BIAS_C2 -213.290409 1.39802E-8 BIAS -> C2
Value of Objective Function = 1.6879056E-8
List Report of Selected Variables in the Score OUTFIT= Data Set
The example PROC PRINT report of the OUTFIT = data set lists selected fit statistics for the training data. By default, the OUTFIT data set
contains two observations. These observations are distinguished by the value of the _NAME_ variable:
_NAME_ = 'Target Variable Name'
q
_NAME_ = 'OVERALL'
q
Because a WHERE statement was used to select only values of _NAME_ = 'OVERALL', this report contains a single observation.