Do 10 tests on GAOT, simulated annealing and downhill simplex.
Functions demonstrated:
OptTestFun Contains DeJong and other tests
GAMin Minimization using GAOT
SimulatedAnnealilng Minimization using simulated annealing
CreateLatexTable Creates tables for import into latex files.
Since version 7.
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See also PlotDeJong., CreateLatexTable, IsVersionBefore, OptTestFun,
GAMin, SimulatedAnnealing
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Contents
clear s;
Tests
name = {'de jong 1','de jong 2','de jong 3','de jong 4','de jong 5'};
fMin = [];
for k = 1:length(name)
fMin(k) = OptTestFun(name{k});
end
d.n = 5;
isV5 = IsVersionBefore( 6 );
dT = zeros(3,length(name));
fF = zeros(3,length(name));
fP = zeros(3,length(name));
Target value for f for de jong 1 is 1.000000e-04
Target value for f for de jong 2 is 1.000000e-04
Target value for f for de jong 3 is 0.000000e+00
Target value for f for de jong 4 is 1.000000e-04
Target value for f for de jong 5 is 9.980000e-01
Number of elements in state for each test
n = [d.n 2 d.n 30 2];
GAOT
disp('-------------------')
disp('GAOT')
rng(0);
s.nI = 100;
s.nG = 300;
s.bounds = [-1 1];
s.fncSelect = 'normGeomSelect';
s.optSelect = [0.01];
s.fncXOver = 'heuristicXover';
s.optXOver = [30 3];
s.fncMutate = 'nonUnifMutation';
s.optMutate = [15 s.nG 2];
lim = [5.1 2.048 5.12 1.28 65.536];
for k = 1:length(name)
rng(0);
fprintf('%s test\n',name{k})
tic
if isV5, flops(0), end
s.bounds = lim(k)*[-ones(1,n(k));ones(1,n(k))]';
d.name = name{k};
x = zeros(n(k),1);
x = GAMin( 'OptTestFun',x,d,s);
dT(3,k) = toc;
fF(3,k) = OptTestFun( x, d );
if isV5
fP(3,k) = flops;
end
end
-------------------
GAOT
de jong 1 test
Generation 1 Generation 2 Generation 3 Generation 4 Generation 5
Generation 6 Generation 7 Generation 8 Generation 9 Generation 10
Generation 11 Generation 12 Generation 13 Generation 14 Generation 15
Generation 16 Generation 17 Generation 18 Generation 19 Generation 20
Generation 21 Generation 22 Generation 23 Generation 24 Generation 25
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Generation 31 Generation 32 Generation 33 Generation 34 Generation 35
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Generation 111 Generation 112 Generation 113 Generation 114 Generation 115
Generation 116 Generation 117 Generation 118 Generation 119 Generation 120
Generation 121 Generation 122 Generation 123 Generation 124 Generation 125
Generation 126 Generation 127 Generation 128 Generation 129 Generation 130
Generation 131 Generation 132 Generation 133 Generation 134 Generation 135
Generation 136 Generation 137 Generation 138 Generation 139 Generation 140
Generation 141 Generation 142 Generation 143 Generation 144 Generation 145
Generation 146 Generation 147 Generation 148 Generation 149 Generation 150
Generation 151 Generation 152 Generation 153 Generation 154 Generation 155
Generation 156 Generation 157 Generation 158 Generation 159 Generation 160
Generation 161 Generation 162 Generation 163 Generation 164 Generation 165
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Generation 281 Generation 282 Generation 283 Generation 284 Generation 285
Generation 286 Generation 287 Generation 288 Generation 289 Generation 290
Generation 291 Generation 292 Generation 293 Generation 294 Generation 295
Generation 296 Generation 297 Generation 298 Generation 299 Generation 300
de jong 2 test
Generation 1 Generation 2 Generation 3 Generation 4 Generation 5
Generation 6 Generation 7 Generation 8 Generation 9 Generation 10
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Generation 16 Generation 17 Generation 18 Generation 19 Generation 20
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Generation 26 Generation 27 Generation 28 Generation 29 Generation 30
Generation 31 Generation 32 Generation 33 Generation 34 Generation 35
Generation 36 Generation 37 Generation 38 Generation 39 Generation 40
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Generation 46 Generation 47 Generation 48 Generation 49 Generation 50
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Generation 111 Generation 112 Generation 113 Generation 114 Generation 115
Generation 116 Generation 117 Generation 118 Generation 119 Generation 120
Generation 121 Generation 122 Generation 123 Generation 124 Generation 125
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Generation 136 Generation 137 Generation 138 Generation 139 Generation 140
Generation 141 Generation 142 Generation 143 Generation 144 Generation 145
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Generation 151 Generation 152 Generation 153 Generation 154 Generation 155
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Generation 161 Generation 162 Generation 163 Generation 164 Generation 165
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Generation 186 Generation 187 Generation 188 Generation 189 Generation 190
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Generation 201 Generation 202 Generation 203 Generation 204 Generation 205
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Generation 241 Generation 242 Generation 243 Generation 244 Generation 245
Generation 246 Generation 247 Generation 248 Generation 249 Generation 250
Generation 251 Generation 252 Generation 253 Generation 254 Generation 255
Generation 256 Generation 257 Generation 258 Generation 259 Generation 260
Generation 261 Generation 262 Generation 263 Generation 264 Generation 265
Generation 266 Generation 267 Generation 268 Generation 269 Generation 270
Generation 271 Generation 272 Generation 273 Generation 274 Generation 275
Generation 276 Generation 277 Generation 278 Generation 279 Generation 280
Generation 281 Generation 282 Generation 283 Generation 284 Generation 285
Generation 286 Generation 287 Generation 288 Generation 289 Generation 290
Generation 291 Generation 292 Generation 293 Generation 294 Generation 295
Generation 296 Generation 297 Generation 298 Generation 299 Generation 300
de jong 3 test
Generation 1 Generation 2 Generation 3 Generation 4 Generation 5
Generation 6 Generation 7 Generation 8 Generation 9 Generation 10
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Generation 21 Generation 22 Generation 23 Generation 24 Generation 25
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Generation 31 Generation 32 Generation 33 Generation 34 Generation 35
Generation 36 Generation 37 Generation 38 Generation 39 Generation 40
Generation 41 Generation 42 Generation 43 Generation 44 Generation 45
Generation 46 Generation 47 Generation 48 Generation 49 Generation 50
Generation 51 Generation 52 Generation 53 Generation 54 Generation 55
Generation 56 Generation 57 Generation 58 Generation 59 Generation 60
Generation 61 Generation 62 Generation 63 Generation 64 Generation 65
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Generation 91 Generation 92 Generation 93 Generation 94 Generation 95
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Generation 101 Generation 102 Generation 103 Generation 104 Generation 105
Generation 106 Generation 107 Generation 108 Generation 109 Generation 110
Generation 111 Generation 112 Generation 113 Generation 114 Generation 115
Generation 116 Generation 117 Generation 118 Generation 119 Generation 120
Generation 121 Generation 122 Generation 123 Generation 124 Generation 125
Generation 126 Generation 127 Generation 128 Generation 129 Generation 130
Generation 131 Generation 132 Generation 133 Generation 134 Generation 135
Generation 136 Generation 137 Generation 138 Generation 139 Generation 140
Generation 141 Generation 142 Generation 143 Generation 144 Generation 145
Generation 146 Generation 147 Generation 148 Generation 149 Generation 150
Generation 151 Generation 152 Generation 153 Generation 154 Generation 155
Generation 156 Generation 157 Generation 158 Generation 159 Generation 160
Generation 161 Generation 162 Generation 163 Generation 164 Generation 165
Generation 166 Generation 167 Generation 168 Generation 169 Generation 170
Generation 171 Generation 172 Generation 173 Generation 174 Generation 175
Generation 176 Generation 177 Generation 178 Generation 179 Generation 180
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Generation 186 Generation 187 Generation 188 Generation 189 Generation 190
Generation 191 Generation 192 Generation 193 Generation 194 Generation 195
Generation 196 Generation 197 Generation 198 Generation 199 Generation 200
Generation 201 Generation 202 Generation 203 Generation 204 Generation 205
Generation 206 Generation 207 Generation 208 Generation 209 Generation 210
Generation 211 Generation 212 Generation 213 Generation 214 Generation 215
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Generation 291 Generation 292 Generation 293 Generation 294 Generation 295
Generation 296 Generation 297 Generation 298 Generation 299 Generation 300
de jong 4 test
Generation 1 Generation 2 Generation 3 Generation 4 Generation 5
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Generation 41 Generation 42 Generation 43 Generation 44 Generation 45
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Generation 76 Generation 77 Generation 78 Generation 79 Generation 80
Generation 81 Generation 82 Generation 83 Generation 84 Generation 85
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Generation 91 Generation 92 Generation 93 Generation 94 Generation 95
Generation 96 Generation 97 Generation 98 Generation 99 Generation 100
Generation 101 Generation 102 Generation 103 Generation 104 Generation 105
Generation 106 Generation 107 Generation 108 Generation 109 Generation 110
Generation 111 Generation 112 Generation 113 Generation 114 Generation 115
Generation 116 Generation 117 Generation 118 Generation 119 Generation 120
Generation 121 Generation 122 Generation 123 Generation 124 Generation 125
Generation 126 Generation 127 Generation 128 Generation 129 Generation 130
Generation 131 Generation 132 Generation 133 Generation 134 Generation 135
Generation 136 Generation 137 Generation 138 Generation 139 Generation 140
Generation 141 Generation 142 Generation 143 Generation 144 Generation 145
Generation 146 Generation 147 Generation 148 Generation 149 Generation 150
Generation 151 Generation 152 Generation 153 Generation 154 Generation 155
Generation 156 Generation 157 Generation 158 Generation 159 Generation 160
Generation 161 Generation 162 Generation 163 Generation 164 Generation 165
Generation 166 Generation 167 Generation 168 Generation 169 Generation 170
Generation 171 Generation 172 Generation 173 Generation 174 Generation 175
Generation 176 Generation 177 Generation 178 Generation 179 Generation 180
Generation 181 Generation 182 Generation 183 Generation 184 Generation 185
Generation 186 Generation 187 Generation 188 Generation 189 Generation 190
Generation 191 Generation 192 Generation 193 Generation 194 Generation 195
Generation 196 Generation 197 Generation 198 Generation 199 Generation 200
Generation 201 Generation 202 Generation 203 Generation 204 Generation 205
Generation 206 Generation 207 Generation 208 Generation 209 Generation 210
Generation 211 Generation 212 Generation 213 Generation 214 Generation 215
Generation 216 Generation 217 Generation 218 Generation 219 Generation 220
Generation 221 Generation 222 Generation 223 Generation 224 Generation 225
Generation 226 Generation 227 Generation 228 Generation 229 Generation 230
Generation 231 Generation 232 Generation 233 Generation 234 Generation 235
Generation 236 Generation 237 Generation 238 Generation 239 Generation 240
Generation 241 Generation 242 Generation 243 Generation 244 Generation 245
Generation 246 Generation 247 Generation 248 Generation 249 Generation 250
Generation 251 Generation 252 Generation 253 Generation 254 Generation 255
Generation 256 Generation 257 Generation 258 Generation 259 Generation 260
Generation 261 Generation 262 Generation 263 Generation 264 Generation 265
Generation 266 Generation 267 Generation 268 Generation 269 Generation 270
Generation 271 Generation 272 Generation 273 Generation 274 Generation 275
Generation 276 Generation 277 Generation 278 Generation 279 Generation 280
Generation 281 Generation 282 Generation 283 Generation 284 Generation 285
Generation 286 Generation 287 Generation 288 Generation 289 Generation 290
Generation 291 Generation 292 Generation 293 Generation 294 Generation 295
Generation 296 Generation 297 Generation 298 Generation 299 Generation 300
de jong 5 test
Generation 1 Generation 2 Generation 3 Generation 4 Generation 5
Generation 6 Generation 7 Generation 8 Generation 9 Generation 10
Generation 11 Generation 12 Generation 13 Generation 14 Generation 15
Generation 16 Generation 17 Generation 18 Generation 19 Generation 20
Generation 21 Generation 22 Generation 23 Generation 24 Generation 25
Generation 26 Generation 27 Generation 28 Generation 29 Generation 30
Generation 31 Generation 32 Generation 33 Generation 34 Generation 35
Generation 36 Generation 37 Generation 38 Generation 39 Generation 40
Generation 41 Generation 42 Generation 43 Generation 44 Generation 45
Generation 46 Generation 47 Generation 48 Generation 49 Generation 50
Generation 51 Generation 52 Generation 53 Generation 54 Generation 55
Generation 56 Generation 57 Generation 58 Generation 59 Generation 60
Generation 61 Generation 62 Generation 63 Generation 64 Generation 65
Generation 66 Generation 67 Generation 68 Generation 69 Generation 70
Generation 71 Generation 72 Generation 73 Generation 74 Generation 75
Generation 76 Generation 77 Generation 78 Generation 79 Generation 80
Generation 81 Generation 82 Generation 83 Generation 84 Generation 85
Generation 86 Generation 87 Generation 88 Generation 89 Generation 90
Generation 91 Generation 92 Generation 93 Generation 94 Generation 95
Generation 96 Generation 97 Generation 98 Generation 99 Generation 100
Generation 101 Generation 102 Generation 103 Generation 104 Generation 105
Generation 106 Generation 107 Generation 108 Generation 109 Generation 110
Generation 111 Generation 112 Generation 113 Generation 114 Generation 115
Generation 116 Generation 117 Generation 118 Generation 119 Generation 120
Generation 121 Generation 122 Generation 123 Generation 124 Generation 125
Generation 126 Generation 127 Generation 128 Generation 129 Generation 130
Generation 131 Generation 132 Generation 133 Generation 134 Generation 135
Generation 136 Generation 137 Generation 138 Generation 139 Generation 140
Generation 141 Generation 142 Generation 143 Generation 144 Generation 145
Generation 146 Generation 147 Generation 148 Generation 149 Generation 150
Generation 151 Generation 152 Generation 153 Generation 154 Generation 155
Generation 156 Generation 157 Generation 158 Generation 159 Generation 160
Generation 161 Generation 162 Generation 163 Generation 164 Generation 165
Generation 166 Generation 167 Generation 168 Generation 169 Generation 170
Generation 171 Generation 172 Generation 173 Generation 174 Generation 175
Generation 176 Generation 177 Generation 178 Generation 179 Generation 180
Generation 181 Generation 182 Generation 183 Generation 184 Generation 185
Generation 186 Generation 187 Generation 188 Generation 189 Generation 190
Generation 191 Generation 192 Generation 193 Generation 194 Generation 195
Generation 196 Generation 197 Generation 198 Generation 199 Generation 200
Generation 201 Generation 202 Generation 203 Generation 204 Generation 205
Generation 206 Generation 207 Generation 208 Generation 209 Generation 210
Generation 211 Generation 212 Generation 213 Generation 214 Generation 215
Generation 216 Generation 217 Generation 218 Generation 219 Generation 220
Generation 221 Generation 222 Generation 223 Generation 224 Generation 225
Generation 226 Generation 227 Generation 228 Generation 229 Generation 230
Generation 231 Generation 232 Generation 233 Generation 234 Generation 235
Generation 236 Generation 237 Generation 238 Generation 239 Generation 240
Generation 241 Generation 242 Generation 243 Generation 244 Generation 245
Generation 246 Generation 247 Generation 248 Generation 249 Generation 250
Generation 251 Generation 252 Generation 253 Generation 254 Generation 255
Generation 256 Generation 257 Generation 258 Generation 259 Generation 260
Generation 261 Generation 262 Generation 263 Generation 264 Generation 265
Generation 266 Generation 267 Generation 268 Generation 269 Generation 270
Generation 271 Generation 272 Generation 273 Generation 274 Generation 275
Generation 276 Generation 277 Generation 278 Generation 279 Generation 280
Generation 281 Generation 282 Generation 283 Generation 284 Generation 285
Generation 286 Generation 287 Generation 288 Generation 289 Generation 290
Generation 291 Generation 292 Generation 293 Generation 294 Generation 295
Generation 296 Generation 297 Generation 298 Generation 299 Generation 300
Downhill simplex
disp('-------------------')
disp('Downhill Simplex')
rng(0);
for k = 1:length(name)
fprintf('%s test\n',name{k})
tic
if isV5, flops(0), end
d.name = name{k};
x = zeros(1,n(k));
if isV5
x = fmins('OptTestFun',x,[],[],d);
fP(1,k) = flops;
else
x = fminsearch( 'OptTestFun', x,[],d );
end
dT(1,k) = toc;
fF(1,k) = OptTestFun( x, d );
end
-------------------
Downhill Simplex
de jong 1 test
de jong 2 test
de jong 3 test
de jong 4 test
Exiting: Maximum number of function evaluations has been exceeded
- increase MaxFunEvals option.
Current function value: 0.000231
de jong 5 test
Simulated Annealing
disp('-------------------')
disp('Simulated Annealing')
rng(0);
for k = 1:length(name)
rng(0);
fprintf('%s test\n',name{k})
tic
if isV5, flops(0), end
d.name = name{k};
x = zeros(1,n(k));
x = SimulatedAnnealing( 'OptTestFun',x,d);
dT(2,k) = toc;
if isV5, fP(2,k) = flops; end
fF(2,k) = OptTestFun( x, d );
if isV5
fP(2,k) = flops;
end
end
-------------------
Simulated Annealing
de jong 1 test
de jong 2 test
de jong 3 test
de jong 4 test
de jong 5 test
Gather data from different algorithms into single variables
xT = {};
xO = {};
xF = {};
for k = 1:length(name)
xT{k,1} = name{k};
xO{k,1} = name{k};
xF{k,1} = name{k};
xF{k,2} = fMin(k);
for j = 1:size(dT,1)
xT{k,j+1} = dT(j,k);
xO{k,j+1} = fP(j,k);
xF{k,j+2} = fF(j,k);
end
end
Create latex tables for reporting
disp({'','Typical','DS','SA','GA'})
CreateLatexTable( xT, 'TestGridTime' )
CreateLatexTable( xO, 'TestGridFlops' )
CreateLatexTable( xF, 'TestGridF' )
bar(dT','stacked')
legend('DS','SA','GA')
'' 'Typical' 'DS' 'SA' 'GA'
