1865 lines
1.3 MiB
Plaintext
1865 lines
1.3 MiB
Plaintext
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "3a7ffee3-334e-481b-82fa-5a0dd957eed3",
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"metadata": {},
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"outputs": [],
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"source": [
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"include(\"./SDG.jl\")\n",
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"include(\"./TestFunctions/TestFunctions.jl\")\n",
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"TF = TestFunctions();"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "372ca0fc-d0fc-4731-8c1d-bbb24b5d7772",
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"metadata": {},
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"outputs": [
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{
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"data": {
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},
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},
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{
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"data": {
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},
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}
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],
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"source": [
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"SDG(TF[6], x=[-1, 1], astart=0.1, Plotf=1, printing=false)"
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]
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},
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{
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"id": "ac55b2fe-9ae5-4fbc-bc83-624c237eb32d",
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"metadata": {},
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"outputs": [
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{
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"data": {
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},
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}
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],
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"source": [
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"SDG(TF[6], astart=0.2, MaxFeval=1000, m2=0, tau=0.5, Plotf=1, printing=false)"
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]
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},
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{
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"outputs": [
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{
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"data": {
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"<path clip-path=\"url(#clip980)\" d=\"M229.244 198.898 L501.348 198.898 L501.348 95.2176 L229.244 95.2176 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<polyline clip-path=\"url(#clip980)\" style=\"stroke:#009af9; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"253.652,147.058 400.101,147.058 \"/>\n",
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"<path clip-path=\"url(#clip980)\" d=\"M438.352 166.745 Q436.547 171.375 434.834 172.787 Q433.121 174.199 430.25 174.199 L426.847 174.199 L426.847 170.634 L429.347 170.634 Q431.107 170.634 432.079 169.8 Q433.051 168.967 434.232 165.865 L434.996 163.921 L424.51 138.412 L429.023 138.412 L437.125 158.689 L445.227 138.412 L449.741 138.412 L438.352 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip980)\" d=\"M457.033 160.402 L464.671 160.402 L464.671 134.037 L456.361 135.703 L456.361 131.444 L464.625 129.778 L469.301 129.778 L469.301 160.402 L476.94 160.402 L476.94 164.338 L457.033 164.338 L457.033 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
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]
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||
|
|
},
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||
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|
"metadata": {},
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||
|
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"output_type": "display_data"
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||
|
|
},
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||
|
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{
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||
|
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"data": {
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"text/plain": [
|
||
|
|
"([-0.0898420454946345, 0.7126564254067507], \"optimal\")"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
"execution_count": 9,
|
||
|
|
"metadata": {},
|
||
|
|
"output_type": "execute_result"
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"SDG(TF[7], Plotf=1, printing=false) # does job very good"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
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||
|
|
"execution_count": 10,
|
||
|
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"id": "49f77dcb-d5c0-4698-8ede-2e56d7337e53",
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||
|
|
"metadata": {},
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||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"data": {
|
||
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|
||
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|
"<path clip-path=\"url(#clip070)\" d=\"M2012.35 1438.47 L2280.76 1438.47 L2280.76 1334.79 L2012.35 1334.79 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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||
|
|
"<polyline clip-path=\"url(#clip070)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2012.35,1438.47 2280.76,1438.47 2280.76,1334.79 2012.35,1334.79 2012.35,1438.47 \"/>\n",
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|
"<polyline clip-path=\"url(#clip070)\" style=\"stroke:#009af9; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2036.35,1386.63 2180.34,1386.63 \"/>\n",
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||
|
|
"<path clip-path=\"url(#clip070)\" d=\"M2218.18 1406.32 Q2216.37 1410.95 2214.66 1412.36 Q2212.94 1413.78 2210.07 1413.78 L2206.67 1413.78 L2206.67 1410.21 L2209.17 1410.21 Q2210.93 1410.21 2211.9 1409.38 Q2212.88 1408.54 2214.06 1405.44 L2214.82 1403.5 L2204.33 1377.99 L2208.85 1377.99 L2216.95 1398.27 L2225.05 1377.99 L2229.57 1377.99 L2218.18 1406.32 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip070)\" d=\"M2236.86 1399.98 L2244.5 1399.98 L2244.5 1373.61 L2236.19 1375.28 L2236.19 1371.02 L2244.45 1369.35 L2249.13 1369.35 L2249.13 1399.98 L2256.76 1399.98 L2256.76 1403.91 L2236.86 1403.91 L2236.86 1399.98 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
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]
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||
|
|
},
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||
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|
"metadata": {},
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||
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|
"output_type": "display_data"
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||
|
|
},
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||
|
|
{
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||
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|
"data": {
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||
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|
"text/plain": [
|
||
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|
"([0.12760835307443302, -0.18378703927430506], \"stopped\")"
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||
|
|
]
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||
|
|
},
|
||
|
|
"execution_count": 10,
|
||
|
|
"metadata": {},
|
||
|
|
"output_type": "execute_result"
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"SDG(TF[7], astart=-2e-1, Plotf=1, printing=false) # hmmm"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
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||
|
|
"cell_type": "code",
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||
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"execution_count": 11,
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||
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|
"id": "2f088446-dc0c-42a2-870d-df9d1dca4754",
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||
|
|
"metadata": {},
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||
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|
"outputs": [
|
||
|
|
{
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||
|
|
"data": {
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||
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"image/png": "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"image/svg+xml": [
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|
|
"<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
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||
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"<defs>\n",
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" <clipPath id=\"clip110\">\n",
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" <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
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" </clipPath>\n",
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||
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|
"</defs>\n",
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"<path clip-path=\"url(#clip110)\" d=\"M0 1600 L2400 1600 L2400 0 L0 0 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<defs>\n",
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" <clipPath id=\"clip111\">\n",
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" <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
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" </clipPath>\n",
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||
|
|
"</defs>\n",
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||
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|
"<path clip-path=\"url(#clip110)\" d=\"M156.274 1486.45 L2352.76 1486.45 L2352.76 47.2441 L156.274 47.2441 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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|
"<defs>\n",
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" <clipPath id=\"clip112\">\n",
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" <rect x=\"156\" y=\"47\" width=\"2197\" height=\"1440\"/>\n",
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" </clipPath>\n",
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"</defs>\n",
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"([-0.08984190881815034, 0.712656391028696], \"optimal\")"
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]
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},
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"execution_count": 11,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"SDG(TF[7], astart=5e-2, tau=0.5, Plotf=1, printing=false)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"id": "2fc40883-f252-4aea-b042-9f2993dc1444",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"<path clip-path=\"url(#clip250)\" d=\"M2011.46 198.898 L2280.54 198.898 L2280.54 95.2176 L2011.46 95.2176 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<polyline clip-path=\"url(#clip250)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2011.46,198.898 2280.54,198.898 2280.54,95.2176 2011.46,95.2176 2011.46,198.898 \"/>\n",
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"<polyline clip-path=\"url(#clip250)\" style=\"stroke:#009af9; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2035.53,147.058 2179.97,147.058 \"/>\n",
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"<path clip-path=\"url(#clip250)\" d=\"M2217.88 166.745 Q2216.07 171.375 2214.36 172.787 Q2212.65 174.199 2209.78 174.199 L2206.38 174.199 L2206.38 170.634 L2208.88 170.634 Q2210.63 170.634 2211.61 169.8 Q2212.58 168.967 2213.76 165.865 L2214.52 163.921 L2204.04 138.412 L2208.55 138.412 L2216.65 158.689 L2224.76 138.412 L2229.27 138.412 L2217.88 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip250)\" d=\"M2236.56 160.402 L2244.2 160.402 L2244.2 134.037 L2235.89 135.703 L2235.89 131.444 L2244.15 129.778 L2248.83 129.778 L2248.83 160.402 L2256.47 160.402 L2256.47 164.338 L2236.56 164.338 L2236.56 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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||
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"([-1.7036067118830425, 0.7960835713103661], \"optimal\")"
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]
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},
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||
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|
"execution_count": 12,
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||
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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||
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|
"SDG(TF[7], x=[-2, 1], Plotf=1, printing=false) # local minima"
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||
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]
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||
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"id": "13d22e9a-671a-4a17-b7ec-e2de65990993",
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||
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": "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" </clipPath>\n",
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"</defs>\n",
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"<polyline clip-path=\"url(#clip342)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"156.598,1219.43 2352.76,1219.43 \"/>\n",
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"<path clip-path=\"url(#clip340)\" d=\"M2007.5 198.898 L2279.55 198.898 L2279.55 95.2176 L2007.5 95.2176 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<polyline clip-path=\"url(#clip340)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2007.5,198.898 2279.55,198.898 2279.55,95.2176 2007.5,95.2176 2007.5,198.898 \"/>\n",
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"<polyline clip-path=\"url(#clip340)\" style=\"stroke:#009af9; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2031.91,147.058 2178.32,147.058 \"/>\n",
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|
"<path clip-path=\"url(#clip340)\" d=\"M2216.56 166.745 Q2214.76 171.375 2213.04 172.787 Q2211.33 174.199 2208.46 174.199 L2205.06 174.199 L2205.06 170.634 L2207.56 170.634 Q2209.32 170.634 2210.29 169.8 Q2211.26 168.967 2212.44 165.865 L2213.2 163.921 L2202.72 138.412 L2207.23 138.412 L2215.33 158.689 L2223.44 138.412 L2227.95 138.412 L2216.56 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip340)\" d=\"M2235.24 160.402 L2242.88 160.402 L2242.88 134.037 L2234.57 135.703 L2234.57 131.444 L2242.83 129.778 L2247.51 129.778 L2247.51 160.402 L2255.15 160.402 L2255.15 164.338 L2235.24 164.338 L2235.24 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
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|
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]
|
||
|
|
},
|
||
|
|
"metadata": {},
|
||
|
|
"output_type": "display_data"
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"data": {
|
||
|
|
"text/plain": [
|
||
|
|
"([-0.08984200737903672, 0.7126564527726588], \"optimal\")"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
"execution_count": 13,
|
||
|
|
"metadata": {},
|
||
|
|
"output_type": "execute_result"
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"SDG(TF[7], x=[-2, 1], astart=-0.1, Plotf=1, printing=false)\n",
|
||
|
|
"# better local minimum but my chance"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": 14,
|
||
|
|
"id": "d212617b-1a64-4a32-8cc1-5fbe0c0dd9d0",
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"name": "stdout",
|
||
|
|
"output_type": "stream",
|
||
|
|
"text": [
|
||
|
|
"Gradient method\n",
|
||
|
|
"feval\trel gap\t\t|| g(x) ||\trate\t\tls feval\ta*\n",
|
||
|
|
"\n",
|
||
|
|
" 2\t4.5319e-02\t3.5796e+00 \t 1 7\t4.6146e-03\n",
|
||
|
|
" 10\t6.8718e-03\t2.9550e+00\t1.5163e-01 1 7\t1.5235e-03\n",
|
||
|
|
" 18\t6.1322e-03\t2.9416e+00\t8.9236e-01 1 8\t8.5011e-04\n",
|
||
|
|
" 27\t1.0649e-03\t2.8484e+00\t1.7367e-01 1 11\t1.9989e-04\n",
|
||
|
|
" 39\t5.5025e-04\t2.8388e+00\t5.1670e-01 1 10\t1.1872e-04\n",
|
||
|
|
" 50\t4.0450e-04\t2.8360e+00\t7.3512e-01 1 11\t5.6036e-05\n",
|
||
|
|
" 62\t4.5539e-05\t2.8293e+00\t1.1258e-01 1 14\t7.3297e-06\n",
|
||
|
|
" 77\t1.3124e-05\t2.8287e+00\t2.8819e-01 1 16\t1.8619e-06\n",
|
||
|
|
" 94\t1.7730e-06\t2.8285e+00\t1.3510e-01 1 19\t2.3411e-07\n",
|
||
|
|
" 114\t9.9925e-08\t2.8284e+00\t5.6359e-02 1 23\t1.4645e-08\n",
|
||
|
|
" 138\t1.7233e-08\t2.8284e+00\t1.7246e-01 1 25\t3.6613e-09\n",
|
||
|
|
" 164\t1.2058e-08\t2.8284e+00\t6.9970e-01 1 26\t1.8307e-09\n",
|
||
|
|
" 191\t2.5875e-09\t2.8284e+00\t2.1459e-01 1 28\t4.5767e-10\n",
|
||
|
|
" 220\t1.0739e-09\t2.8284e+00\t4.1502e-01 1 29\t2.2883e-10\n",
|
||
|
|
" 250\t7.5682e-10\t2.8284e+00\t7.0477e-01 1 30\t1.1442e-10\n",
|
||
|
|
" 281\t1.5852e-10\t2.8284e+00\t2.0945e-01 1 32\t2.8604e-11\n",
|
||
|
|
" 314\t7.0319e-11\t2.8284e+00\t4.4361e-01 1 33\t1.4302e-11\n",
|
||
|
|
" 348\t4.4097e-11\t2.8284e+00\t6.2709e-01 1 34\t7.1511e-12\n",
|
||
|
|
" 383\t1.3110e-11\t2.8284e+00\t2.9730e-01 1 36\t1.7878e-12\n",
|
||
|
|
" 420\t1.1942e-12\t2.8284e+00\t9.1088e-02 1 39\t2.2347e-13\n",
|
||
|
|
" 460\t5.9730e-13\t2.8284e+00\t5.0019e-01 1 40\t1.1174e-13\n",
|
||
|
|
" 501\t2.9887e-13\t2.8284e+00\t5.0037e-01 1 41\t5.5868e-14\n",
|
||
|
|
" 543\t1.4966e-13\t2.8284e+00\t5.0074e-01 1 42\t2.7934e-14\n",
|
||
|
|
" 586\t7.5051e-14\t2.8284e+00\t5.0148e-01 1 43\t1.3967e-14\n",
|
||
|
|
" 630\t3.9524e-14\t2.8284e+00\t5.2663e-01 1 44\t6.9835e-15\n",
|
||
|
|
" 675\t1.8208e-14\t2.8284e+00\t4.6067e-01 1 45\t3.4917e-15\n",
|
||
|
|
" 721\t7.5495e-15\t2.8284e+00\t4.1463e-01 1 46\t1.7459e-15\n",
|
||
|
|
" 768\t3.9968e-15\t2.8284e+00\t5.2941e-01 1 52\t5.4558e-17\n",
|
||
|
|
"\n"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"data": {
|
||
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"<path clip-path=\"url(#clip430)\" d=\"M316.803 198.898 L579.849 198.898 L579.849 95.2176 L316.803 95.2176 Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
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"<path clip-path=\"url(#clip430)\" d=\"M517.86 166.745 Q516.054 171.375 514.341 172.787 Q512.628 174.199 509.758 174.199 L506.355 174.199 L506.355 170.634 L508.855 170.634 Q510.614 170.634 511.586 169.8 Q512.559 168.967 513.739 165.865 L514.503 163.921 L504.017 138.412 L508.531 138.412 L516.633 158.689 L524.735 138.412 L529.248 138.412 L517.86 166.745 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip430)\" d=\"M536.54 160.402 L544.179 160.402 L544.179 134.037 L535.869 135.703 L535.869 131.444 L544.133 129.778 L548.809 129.778 L548.809 160.402 L556.447 160.402 L556.447 164.338 L536.54 164.338 L536.54 160.402 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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||
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"([-1.195842165283366e-15, -1.195842165283366e-15], \"error\")"
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]
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},
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|
"execution_count": 14,
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||
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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||
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|
"source": [
|
||
|
|
"SDG(TF[8], x=[0.01, 0.01], Plotf=1, printing=true) ## not working :("
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
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|
"execution_count": 15,
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||
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|
"id": "35c3c1c4-57f5-472f-958d-9f082f66b6ac",
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||
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|
"metadata": {},
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||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"data": {
|
||
|
|
"text/plain": [
|
||
|
|
"NWTN (generic function with 1 method)"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
"execution_count": 15,
|
||
|
|
"metadata": {},
|
||
|
|
"output_type": "execute_result"
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"include(\"NWTN.jl\")"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": 16,
|
||
|
|
"id": "aebfe53d-f6a6-4f88-a141-a95be699fa4e",
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"name": "stdout",
|
||
|
|
"output_type": "stream",
|
||
|
|
"text": [
|
||
|
|
"Newton's method\n",
|
||
|
|
"feval\trel gap\t\t|| g(x) ||\trate\t\tdelta\t\tls it\ta*\n",
|
||
|
|
"\n",
|
||
|
|
" 1\t4.0000e+00\t4.0000e+00\t\t\t0.00e+00 1 3\t7.20e-02\n",
|
||
|
|
" 5\t3.4877e+00\t1.1580e+01\t8.7193e-01\t0.00e+00 1 1\t2.17e-01\n",
|
||
|
|
" 7\t3.2106e+00\t1.1422e+01\t9.2053e-01\t0.00e+00 1 1\t2.92e-01\n",
|
||
|
|
" 9\t2.8939e+00\t1.1298e+01\t9.0137e-01\t0.00e+00 1 1\t4.43e-01\n",
|
||
|
|
" 11\t2.5138e+00\t1.1340e+01\t8.6866e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 12\t2.0350e+00\t1.3918e+01\t8.0951e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 13\t1.4916e+00\t4.5931e+00\t7.3297e-01\t0.00e+00 1 1\t2.01e-01\n",
|
||
|
|
" 15\t1.3444e+00\t4.4425e+00\t9.0135e-01\t0.00e+00 1 1\t2.77e-01\n",
|
||
|
|
" 17\t1.1767e+00\t4.3336e+00\t8.7522e-01\t0.00e+00 1 1\t4.34e-01\n",
|
||
|
|
" 19\t9.7661e-01\t4.4575e+00\t8.2998e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 20\t7.3072e-01\t7.2446e+00\t7.4823e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 21\t4.7358e-01\t1.8687e+00\t6.4810e-01\t0.00e+00 1 1\t2.60e-01\n",
|
||
|
|
" 23\t3.9577e-01\t2.1797e+00\t8.3570e-01\t0.00e+00 1 1\t4.30e-01\n",
|
||
|
|
" 25\t3.0401e-01\t3.0081e+00\t7.6815e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 26\t1.9691e-01\t6.1663e+00\t6.4770e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 27\t1.0228e-01\t1.3863e+00\t5.1945e-01\t0.00e+00 1 1\t4.31e-01\n",
|
||
|
|
" 29\t6.7912e-02\t2.2435e+00\t6.6396e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 30\t3.2680e-02\t3.8085e+00\t4.8121e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 31\t1.0566e-02\t8.0488e-01\t3.2332e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 32\t3.1590e-03\t1.9530e+00\t2.9898e-01\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 33\t2.4534e-04\t9.6840e-02\t7.7664e-02\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 34\t5.2049e-06\t9.3779e-02\t2.1215e-02\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 35\t1.1473e-09\t2.1576e-04\t2.2042e-04\t0.00e+00 1\t1.00e+00\n",
|
||
|
|
" 36\t1.3971e-16\t4.8898e-07\t1.2178e-07"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"data": {
|
||
|
|
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