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In [1]:



    


using Logging
using Gadfly
using GaussianProcesses
using BayesianOptimization



    


















    






WARNING: Method definition info(Any...) in module Base at util.jl:334 overwritten in module Logging at /Users/rory/.playground/share/bayesopt/packages/v0.4/Logging/src/Logging.jl:61.
WARNING: Method definition warn(Any...) in module Base at util.jl:364 overwritten in module Logging at /Users/rory/.playground/share/bayesopt/packages/v0.4/Logging/src/Logging.jl:61.

















In [2]:



    


Logging.configure(output=STDOUT, level=DEBUG)
function foo(a)
    return sin(a)^2
end



    


















    
Out[2]:








foo (generic function with 1 method)

















In [3]:



    


xmax, ymax, opt = optimize(foo, -1.0:0.0001:5.0; iter=1, restarts=1)
hist = [ymax]
gp_plots = [plot(opt.model)]

for i in 1:6
    xmax, ymax = BayesianOptimization.optimize!(opt, 1, 1)
    push!(hist, ymax)
    if i % 2 == 0
        push!(gp_plots, plot(opt.model))
    end
end



    


















    






15-Dec 23:51:55:DEBUG:root:iteration=2, x=[2.8963], y=0.05897137661108501
15-Dec 23:52:02:DEBUG:root:new x=[1.674], y=0.9893867627633535
15-Dec 23:52:02:INFO:root:Optimization completed: x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:iteration=3, x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:new x=[0.9872], y=0.696367504684328
15-Dec 23:52:03:INFO:root:Optimization completed: x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:iteration=4, x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:new x=[1.1643], y=0.8436639040057485
15-Dec 23:52:03:INFO:root:Optimization completed: x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:iteration=5, x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:new x=[4.0675], y=0.6386671056509937
15-Dec 23:52:03:INFO:root:Optimization completed: x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:iteration=6, x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:new x=[2.701], y=0.18188143274896737
15-Dec 23:52:03:INFO:root:Optimization completed: x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:iteration=7, x=[1.674], y=0.9893867627633535
15-Dec 23:52:03:DEBUG:root:new x=[4.6163], y=0.990795289552095
15-Dec 23:52:03:INFO:root:Optimization completed: x=[4.6163], y=0.990795289552095
15-Dec 23:52:03:DEBUG:root:iteration=8, x=[4.6163], y=0.990795289552095
15-Dec 23:52:03:DEBUG:root:new x=[0.4269], y=0.17143823892821272
15-Dec 23:52:03:INFO:root:Optimization completed: x=[4.6163], y=0.990795289552095

















In [4]:



    


set_default_plot_size(20cm, 20cm)
vstack(gp_plots...)



    


















    
Out[4]:









  
    x
  
  
    -6
    -5
    -4
    -3
    -2
    -1
    0
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    -5.0
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    -4.6
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    0.4
    0.6
    0.8
    1.0
    1.2
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    1.6
    1.8
    2.0
    2.2
    2.4
    2.6
    2.8
    3.0
    3.2
    3.4
    3.6
    3.8
    4.0
    4.2
    4.4
    4.6
    4.8
    5.0
    5.2
    5.4
    5.6
    5.8
    6.0
    6.2
    6.4
    6.6
    6.8
    7.0
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    7.8
    8.0
    8.2
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    8.8
    9.0
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    10.0
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    0
    5
    10
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    5.5
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    7.0
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    8.0
    8.5
    9.0
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    10.0
  

  
    
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
        
          
          
          
          
          
          
          
          
        
      
      
        
      
      
        
      
    
    
      
        
        
      
      
        
      
      
        
      
      
        
        
      
    
  

  
    -3.0
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    1.4
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    1.6
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    1.9
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    2.2
    2.3
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    2.5
    2.6
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    2.9
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    3.5
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    2
    4
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    y
  


  
    x
  
  
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    -4
    -3
    -2
    -1
    0
    1
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    3
    4
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    9
    10
    11
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    3.6
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    4.6
    4.8
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    10
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    6.5
    7.0
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    8.0
    8.5
    9.0
    9.5
    10.0
  

  
    
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
        
          
          
          
          
          
          
        
      
      
        
      
      
        
      
    
    
      
        
        
      
      
        
      
      
        
      
      
        
        
      
    
  

  
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    4
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    y
  


  
    x
  
  
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    0
    1
    2
    3
    4
    5
    6
    7
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    3.5
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    4.5
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    6
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    4.2
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    4.6
    4.8
    5.0
    5.2
    5.4
    5.6
    5.8
    6.0
  

  
    
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
        
          
          
          
          
        
      
      
        
      
      
        
      
    
    
      
        
        
      
      
        
      
      
        
      
      
        
        
      
    
  

  
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    2.00
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    2.15
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    2.25
    2.30
    2.35
    2.40
    2.45
    2.50
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    3.00
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    0
    2
    4
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    1.0
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    2.1
    2.2
    2.3
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    2.6
    2.7
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    2.9
    3.0
  
  
    y
  


  
    x
  
  
    -0.5
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    5.0
    0.00
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    0.10
    0.15
    0.20
    0.25
    0.30
    0.35
    0.40
    0.45
    0.50
    0.55
    0.60
    0.65
    0.70
    0.75
    0.80
    0.85
    0.90
    0.95
    1.00
    1.05
    1.10
    1.15
    1.20
    1.25
    1.30
    1.35
    1.40
    1.45
    1.50
    1.55
    1.60
    1.65
    1.70
    1.75
    1.80
    1.85
    1.90
    1.95
    2.00
    2.05
    2.10
    2.15
    2.20
    2.25
    2.30
    2.35
    2.40
    2.45
    2.50
    2.55
    2.60
    2.65
    2.70
    2.75
    2.80
    2.85
    2.90
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    3.00
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    3.15
    3.20
    3.25
    3.30
    3.35
    3.40
    3.45
    3.50
    3.55
    3.60
    3.65
    3.70
    3.75
    3.80
    3.85
    3.90
    3.95
    4.00
    4.05
    4.10
    4.15
    4.20
    4.25
    4.30
    4.35
    4.40
    4.45
    4.50
    0
    5
    0.0
    0.1
    0.2
    0.3
    0.4
    0.5
    0.6
    0.7
    0.8
    0.9
    1.0
    1.1
    1.2
    1.3
    1.4
    1.5
    1.6
    1.7
    1.8
    1.9
    2.0
    2.1
    2.2
    2.3
    2.4
    2.5
    2.6
    2.7
    2.8
    2.9
    3.0
    3.1
    3.2
    3.3
    3.4
    3.5
    3.6
    3.7
    3.8
    3.9
    4.0
    4.1
    4.2
    4.3
    4.4
    4.5
  

  
    
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
        
          
          
        
      
      
        
      
      
        
      
    
    
      
        
        
      
      
        
      
      
        
      
      
        
        
      
    
  

  
    -3.0
    -2.5
    -2.0
    -1.5
    -1.0
    -0.5
    0.0
    0.5
    1.0
    1.5
    2.0
    2.5
    3.0
    3.5
    4.0
    -2.5
    -2.4
    -2.3
    -2.2
    -2.1
    -2.0
    -1.9
    -1.8
    -1.7
    -1.6
    -1.5
    -1.4
    -1.3
    -1.2
    -1.1
    -1.0
    -0.9
    -0.8
    -0.7
    -0.6
    -0.5
    -0.4
    -0.3
    -0.2
    -0.1
    0.0
    0.1
    0.2
    0.3
    0.4
    0.5
    0.6
    0.7
    0.8
    0.9
    1.0
    1.1
    1.2
    1.3
    1.4
    1.5
    1.6
    1.7
    1.8
    1.9
    2.0
    2.1
    2.2
    2.3
    2.4
    2.5
    2.6
    2.7
    2.8
    2.9
    3.0
    3.1
    3.2
    3.3
    3.4
    3.5
    -4
    -2
    0
    2
    4
    -2.5
    -2.0
    -1.5
    -1.0
    -0.5
    0.0
    0.5
    1.0
    1.5
    2.0
    2.5
    3.0
    3.5
  
  
    y
  


  
  

  
  

  
  

  
  

  
    
  
  
    
  
  
    
  
  
    
  





















In [5]:



    


plot(x=collect(1:length(hist)), y=hist, Geom.line)



    


















    
Out[5]:









  
    x
  
  
    -10
    -8
    -6
    -4
    -2
    0
    2
    4
    6
    8
    10
    12
    14
    16
    18
    -8.0
    -7.5
    -7.0
    -6.5
    -6.0
    -5.5
    -5.0
    -4.5
    -4.0
    -3.5
    -3.0
    -2.5
    -2.0
    -1.5
    -1.0
    -0.5
    0.0
    0.5
    1.0
    1.5
    2.0
    2.5
    3.0
    3.5
    4.0
    4.5
    5.0
    5.5
    6.0
    6.5
    7.0
    7.5
    8.0
    8.5
    9.0
    9.5
    10.0
    10.5
    11.0
    11.5
    12.0
    12.5
    13.0
    13.5
    14.0
    14.5
    15.0
    15.5
    16.0
    -10
    0
    10
    20
    -8.0
    -7.5
    -7.0
    -6.5
    -6.0
    -5.5
    -5.0
    -4.5
    -4.0
    -3.5
    -3.0
    -2.5
    -2.0
    -1.5
    -1.0
    -0.5
    0.0
    0.5
    1.0
    1.5
    2.0
    2.5
    3.0
    3.5
    4.0
    4.5
    5.0
    5.5
    6.0
    6.5
    7.0
    7.5
    8.0
    8.5
    9.0
    9.5
    10.0
    10.5
    11.0
    11.5
    12.0
    12.5
    13.0
    13.5
    14.0
    14.5
    15.0
    15.5
    16.0
  

  
    
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
    
    
      
        
      
    
    
      
        
        
      
      
        
      
      
        
      
      
        
        
      
    
  

  
    0.9865
    0.9870
    0.9875
    0.9880
    0.9885
    0.9890
    0.9895
    0.9900
    0.9905
    0.9910
    0.9915
    0.9920
    0.9925
    0.9930
    0.9935
    0.9869
    0.9870
    0.9871
    0.9872
    0.9873
    0.9874
    0.9875
    0.9876
    0.9877
    0.9878
    0.9879
    0.9880
    0.9881
    0.9882
    0.9883
    0.9884
    0.9885
    0.9886
    0.9887
    0.9888
    0.9889
    0.9890
    0.9891
    0.9892
    0.9893
    0.9894
    0.9895
    0.9896
    0.9897
    0.9898
    0.9899
    0.9900
    0.9901
    0.9902
    0.9903
    0.9904
    0.9905
    0.9906
    0.9907
    0.9908
    0.9909
    0.9910
    0.9911
    0.9912
    0.9913
    0.9914
    0.9915
    0.9916
    0.9917
    0.9918
    0.9919
    0.9920
    0.9921
    0.9922
    0.9923
    0.9924
    0.9925
    0.9926
    0.9927
    0.9928
    0.9929
    0.9930
    0.986
    0.988
    0.990
    0.992
    0.994
    0.9868
    0.9870
    0.9872
    0.9874
    0.9876
    0.9878
    0.9880
    0.9882
    0.9884
    0.9886
    0.9888
    0.9890
    0.9892
    0.9894
    0.9896
    0.9898
    0.9900
    0.9902
    0.9904
    0.9906
    0.9908
    0.9910
    0.9912
    0.9914
    0.9916
    0.9918
    0.9920
    0.9922
    0.9924
    0.9926
    0.9928
    0.9930
  
  
    y
  


  
  






















In [ ]:

Content source: invenia/BayesianOptimization.jl

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