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Found problem with iterations, have not fixed

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temporaryWork
youainti 5 years ago
parent 74772007af
commit 58f10e54ea
2 changed files with 401 additions and 14 deletions
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335
Code/TransitionDerivatives.ipynb
Unescape Escape View File

@ -3,7 +3,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 1,
"id": "recorded-albany", "id": "innovative-filename",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
@ -14,7 +14,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 2,
"id": "senior-characterization", "id": "filled-question",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -40,7 +40,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 3,
"id": "sublime-trance", "id": "middle-lease",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
@ -50,7 +50,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 4,
"id": "double-climb", "id": "regular-grounds",
"metadata": { "metadata": {
"tags": [] "tags": []
}, },
@ -62,7 +62,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 5,
"id": "blind-reunion", "id": "satisfied-hawaiian",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
@ -75,14 +75,14 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 6,
"id": "worldwide-winning", "id": "saved-corporation",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
"def survival(stock, debris):\n", "def survival(stock, debris):\n",
" #Gompertz distribution for simplicity\n", " #Gompertz distribution for simplicity\n",
" #commonly used with saturation\n", " #commonly used with saturation\n",
" #TODO: ACTUALLY DERIVE A SURVIVAL FUNCTION. THIS IS JUST A PLACEHOLDER\n", " #TODO: ACTUALLY DERIVE A SURVIVAL FUNCTION. THIS IS JUST A PLACEHOLDER. PROBABLY SHOULD BE AN EXPONENTIAL DISTRIBUTION\n",
" eta = 1.0/(scaling@stock)\n", " eta = 1.0/(scaling@stock)\n",
" b = 1/debris\n", " b = 1/debris\n",
" \n", " \n",
@ -101,7 +101,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 7,
"id": "naughty-transport", "id": "nominated-visitor",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -122,7 +122,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 8,
"id": "large-trigger", "id": "clean-panama",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -153,7 +153,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 9,
"id": "prime-projector", "id": "cardiovascular-music",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -179,7 +179,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 10,
"id": "urban-decision", "id": "funky-illness",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -202,7 +202,7 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 11,
"id": "congressional-kelly", "id": "charged-dairy",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -240,7 +240,7 @@
}, },
{ {
"cell_type": "markdown", "cell_type": "markdown",
"id": "identified-insertion", "id": "marked-flower",
"metadata": {}, "metadata": {},
"source": [ "source": [
"## Next step: Construct the intertemporal-transition function(s)\n", "## Next step: Construct the intertemporal-transition function(s)\n",
@ -252,10 +252,317 @@
"I am planning on doing the latter, as each version is needed." "I am planning on doing the latter, as each version is needed."
] ]
}, },
{
"cell_type": "code",
"execution_count": 12,
"id": "outdoor-action",
"metadata": {},
"outputs": [],
"source": [
"#setup\n",
"beta = torch.tensor([0.95])\n",
"util_weights = torch.tensor([1.0,1.0,0,0,0])\n",
"sigma = 0.5"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "unavailable-hawaii",
"metadata": {},
"outputs": [],
"source": [
"#This is not a good specification of the profit function, but it will work for now.\n",
"def util(x):\n",
" return (util_weights@x)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "composite-cooperative",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(2., grad_fn=<DotBackward>)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"util(stocks)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "activated-advancement",
"metadata": {},
"outputs": [],
"source": [
"w = torch.zeros(5)\n",
"w[0]=1"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "wireless-concord",
"metadata": {},
"outputs": [],
"source": [
"def single_transition(w, g, util, stocks, debris, launch, beta):\n",
" #TODO: change launch from a direct tensor, to a function.\n",
" bA = beta * jacobian(g, (stocks,debris,launch))[0][0]\n",
" return bA.inverse() @ (w - jacobian(util,stocks))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "detected-cooking",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([ 0.0372, -1.2487, 0.0372, 0.0372, 0.0164])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"single_transition(w,g,util,stocks,debris,launch,beta)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "sharp-pound",
"metadata": {},
"outputs": [],
"source": [
"#need to create recursive transitions\n",
"def recurse_transitions(w, g, util, stocks, debris, launch, beta, iterations):\n",
" #This is of type two from the discussion above\n",
" if iterations <= 1:\n",
" return single_transition(w, g, util, stocks, debris, launch, beta)\n",
" else: \n",
" #Get recursive results\n",
" curse = recurse_transitions(w,g,util,stocks,debris,launch,beta,iterations-1)\n",
" \n",
" #Get updated stocks and debris\n",
" stocks_iterated,debris_iterated = g(stocks, debris, launch) \n",
" \n",
" #Return the updated values\n",
" return single_transition(curse, g, util, stocks_iterated, debris_iterated, launch, beta)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "radical-reason",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([ 0.0372, -1.2487, 0.0372, 0.0372, 0.0164])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"recurse_transitions(w, g, util, stocks, debris, launch, beta, 1)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "intelligent-angle",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([-0.4740, -1.0278, -0.0434, -0.0434, -0.0575])"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"recurse_transitions(w, g, util, stocks, debris, launch, beta, 2)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "jewish-lemon",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([-0.7046, -0.9430, -0.0884, -0.0884, -0.1102])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"recurse_transitions(w, g, util, stocks, debris, launch, beta, 3)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "scenic-literature",
"metadata": {},
"outputs": [],
"source": [
"#TODO: manually check single_transition\n",
"stocks_1,debris_1 = g(stocks, debris, launch) \n",
"stocks_2,debris_2 = g(stocks_1, debris_1, launch)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "moving-slave",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([ 0.0372, -1.2487, 0.0372, 0.0372, 0.0164])"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Recurse 1\n",
"sin1 = single_transition(w,g,util,stocks,debris,launch,beta)\n",
"sin1"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "corrected-radar",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([-0.4740, -1.0278, -0.0434, -0.0434, -0.0575])"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Recurse 2\n",
"sin2 = single_transition(sin1 \n",
" ,g\n",
" ,util\n",
" ,stocks_1\n",
" ,debris_1\n",
" ,launch,beta)\n",
"sin2"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "handy-pencil",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"tensor([-1.5516, -2.1345, -0.0456, -0.0456, -0.1302])"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#recurse 3\n",
"single_transition(sin2,g,util,stocks_2,debris_2,launch,beta)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "attempted-affairs",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([-1.5516, -2.1345, -0.0456, -0.0456, -0.1302])"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"recurse_transitions(sin2, g, util, stocks_2, debris_2, launch, beta, 1)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "honest-diana",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([-0.7046, -0.9430, -0.0884, -0.0884, -0.1102])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#I think this highlights the error.\n",
"recurse_transitions(recurse_transitions(sin1, g, util, stocks_1, debris_1, launch, beta, 1), g, util, stocks_1, debris_1, launch, beta, 1)"
]
},
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": null,
"id": "utility-browse", "id": "animated-nudist",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [] "source": []

80
Code/Untitled.ipynb
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@ -0,0 +1,80 @@
{
"cells": [
{
"cell_type": "markdown",
"id": "complicated-passage",
"metadata": {},
"source": [
"testing a recursive function builder"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "alone-individual",
"metadata": {},
"outputs": [],
"source": [
"def base(x,depth):\n",
" return \"y\"+base(x)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "sustainable-closing",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'yyyx'"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"base(\"x\",3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "systematic-actor",
"metadata": {},
"outputs": [],
"source": [
"def all_your(fn,depth1):\n",
" if depth1 <= 0:\n",
" return fn\n",
" else:\n",
" ifn = all_your(fn,depth-1)\n",
" return fn(ifn)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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