conviction/abc_sim-simpler.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"#import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import scipy.stats as sts\n",
"import seaborn as sns\n",
"\n",
"%matplotlib inline\n",
"\n",
"#import conviction files\n",
"#from conviction_helpers import *\n",
"#from conviction_system_logic3 import *\n",
"from bonding_curve_eq import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"System initialization"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"hatch_raise = 100000 # fiat units\n",
"hatch_price = .1 #fiat per tokens\n",
"theta = .5 #share of funds going to funding pool at launch\n",
"\n",
"R0 = hatch_raise*(1-theta)\n",
"#F0 = hatch_raise*theta\n",
"S0 = hatch_raise/hatch_price\n",
"\n",
"kappa = 2\n",
"V0 = invariant(R0,S0,kappa)\n",
"P0 = spot_price(R0, V0, kappa)\n",
"\n",
"dust = 10**-8"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"agent initialization"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"#phi for exiting funds\n",
"phi = 0\n",
"\n",
"#beta is param for armijo rule\n",
"beta = .9\n",
"\n",
"#param for open loop\n",
"rules = [\"martin\", \"step\",\"ramp\", \"sin\"] # step or \"ramp\" \"sin\" or \"martin\""
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"params= {\n",
" 'kappa': [kappa],\n",
"# 'lambda': [lam],\n",
"# 'gains': [g],\n",
"# 'rates':[1/gamma],\n",
"# 'population':[n],\n",
"# 'beta':[beta],\n",
"# 'phi': [phi],\n",
" 'invariant': [V0],\n",
" 'dust' : [dust],\n",
" 'rule' : rules,\n",
" 'dP' : ['N/A', P0/4, P0/1000, P0/2],\n",
" 'sigma': [.005,'N/A','N/A', 'N/A'],\n",
" 'period': ['N/A', 2000,2000,2000]}"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"initial_conditions = {'supply': S0,\n",
" 'price': P0,\n",
" 'reserve': R0,\n",
" 'spot_price': P0,\n",
" 'output_price': P0,\n",
" }"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'supply': 1000000.0,\n",
" 'price': 0.09999999999999999,\n",
" 'reserve': 50000.0,\n",
" 'spot_price': 0.09999999999999999,\n",
" 'output_price': 0.09999999999999999}"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"initial_conditions"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def set_action(params, step, sL, s):\n",
" \n",
" R = s['reserve']\n",
" S = s['supply']\n",
" V0 = params['invariant']\n",
" P=s['spot_price']\n",
" period = params['period']\n",
" \n",
" if params['rule'] == 'step':\n",
" bump = int((s['timestep'] % int(period/2) == 0))*int(s['timestep']>0)\n",
" sign = -(-1)**int((2*s['timestep']/period))\n",
" new_price = s['price'] + params['dP']*bump*sign\n",
" elif params['rule'] == 'ramp':\n",
" sign = (-1)**int((2*s['timestep']/period))\n",
" new_price = s['price'] + params['dP']*sign\n",
" elif params['rule'] == 'sin':\n",
" new_price = P0 + params['dP']*np.sin(2*np.pi*s['timestep']/period)\n",
" elif params['rule']=='martin' :\n",
" rv = np.random.normal(0, params['sigma'])\n",
" new_price = s['price']+s['price']*rv\n",
" else :\n",
" new_price = s['price']\n",
" \n",
" \n",
" #print(params['rule']+': '+str(new_price))\n",
" \n",
" if P>new_price: #equiv: pbar(0)>phat_a\n",
" mech = 'burn'\n",
" \n",
" #approx for burn s.t. p=phat\n",
" #armijo style\n",
" amt = S*(1-params['dust'])\n",
"\n",
" def pbar(amt):\n",
" output = withdraw(amt, R,S, V0, params['kappa'])\n",
"\n",
" if not(output[1])>0:\n",
" return np.Infinity\n",
" elif amt==0:\n",
" return P\n",
" else:\n",
" return output[1]\n",
"\n",
" if amt > params['dust']:\n",
" while pbar(amt)< new_price:\n",
" amt = amt*beta\n",
"\n",
" else: # P<phat_a; #equiv pbar(0)<phat_a\n",
" mech = 'bond'\n",
" #approx for buy s.t. p=phat\n",
" #armijo style\n",
" amt = R*(1-params['dust'])\n",
"\n",
" def pbar(amt):\n",
" output = mint(amt, R,S, V0, params['kappa'])\n",
" \n",
" if not(output[1])>0:\n",
" return 0\n",
" elif amt==0:\n",
" return P\n",
" else:\n",
" return output[1]\n",
"\n",
" if amt > params['dust']:\n",
" while pbar(amt)> new_price:\n",
" amt = amt*beta\n",
" #print(mech)\n",
" #print(amt)\n",
" action = {'mech':mech, 'amt':amt,'pin':new_price ,'pbar':pbar(amt),'posterior':{}}\n",
" \n",
" if action['mech'] == 'bond':\n",
"\n",
" dS, pbar = mint(amt, R,S, V0, params['kappa'])\n",
" R = R+amt\n",
" S = S+dS\n",
" P = spot_price(R, V0, kappa)\n",
"\n",
" elif action['mech'] == 'burn':\n",
" dR, pbar = withdraw(amt, R,S, V0, params['kappa'])\n",
" R = R-dR\n",
" S = S-amt\n",
" P = spot_price(R, V0, kappa)\n",
"\n",
" action['posterior'] = {'S':S, 'R':R,'P':P}\n",
" \n",
" return {'action': action}"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def update_S(params, step, sL, s, _input):\n",
" \n",
" action = _input['action']\n",
" S = action['posterior']['S']\n",
" \n",
" key = 'supply'\n",
" value = S\n",
" \n",
" return (key, value)\n",
"\n",
"def update_R(params, step, sL, s, _input):\n",
" \n",
" action = _input['action']\n",
" R = action['posterior']['R']\n",
" \n",
" key = 'reserve'\n",
" value = R\n",
" \n",
" return (key, value)\n",
"\n",
"def update_P(params, step, sL, s, _input):\n",
" \n",
" action = _input['action']\n",
" P = action['posterior']['P']\n",
" \n",
" key = 'spot_price'\n",
" value = P\n",
" \n",
" return (key, value)\n",
"\n",
"def update_Pbar(params, step, sL, s, _input):\n",
" \n",
" action = _input['action']\n",
" pbar = action['pbar']\n",
" \n",
" key = 'output_price'\n",
" value = pbar\n",
" \n",
" return (key, value)\n",
"\n",
"def capture_Pin(params, step, sL, s, _input):\n",
" \n",
" Pin = _input['action']['pin']\n",
" if Pin== 0:\n",
" print(_input['action']) \n",
" key = 'price'\n",
" value = Pin\n",
" \n",
" return (key, value)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # \n",
"# The Partial State Update Blocks\n",
"partial_state_update_blocks = [\n",
" {\n",
" 'policies': {\n",
" 'act': set_action,\n",
" },\n",
" 'variables': {\n",
" 'supply': update_S, \n",
" 'reserve': update_R,\n",
" 'spot_price': update_P,\n",
" 'output_price': update_Pbar,\n",
" 'price': capture_Pin,\n",
" }\n",
" }\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"time_periods_per_run = 4000\n",
"monte_carlo_runs = 1\n",
"\n",
"from cadCAD.configuration.utils import config_sim\n",
"simulation_parameters = config_sim({\n",
" 'T': range(time_periods_per_run),\n",
" 'N': monte_carlo_runs,\n",
" 'M': params\n",
"})"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n"
]
}
],
"source": [
"from cadCAD.configuration import append_configs\n",
"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #\n",
"# The configurations above are then packaged into a `Configuration` object\n",
"append_configs(\n",
" initial_state=initial_conditions, #dict containing variable names and initial values\n",
" partial_state_update_blocks=partial_state_update_blocks, #dict containing state update functions\n",
" sim_configs=simulation_parameters #dict containing simulation parameters\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"from tabulate import tabulate\n",
"from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n",
"from cadCAD import configs\n",
"import pandas as pd\n",
"\n",
"exec_mode = ExecutionMode()\n",
"multi_proc_ctx = ExecutionContext(context=exec_mode.multi_proc)\n",
"run = Executor(exec_context=multi_proc_ctx, configs=configs)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" __________ ____ \n",
" ________ __ _____/ ____/ | / __ \\\n",
" / ___/ __` / __ / / / /| | / / / /\n",
" / /__/ /_/ / /_/ / /___/ ___ |/ /_/ / \n",
" \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n",
" by BlockScience\n",
" \n",
"Execution Mode: multi_proc: [<cadCAD.configuration.Configuration object at 0x1a1c9517b8>, <cadCAD.configuration.Configuration object at 0x1a1c9c4a90>, <cadCAD.configuration.Configuration object at 0x1a1c9c49b0>, <cadCAD.configuration.Configuration object at 0x1a1c9c4b70>]\n",
"Configurations: [<cadCAD.configuration.Configuration object at 0x1a1c9517b8>, <cadCAD.configuration.Configuration object at 0x1a1c9c4a90>, <cadCAD.configuration.Configuration object at 0x1a1c9c49b0>, <cadCAD.configuration.Configuration object at 0x1a1c9c4b70>]\n"
]
}
],
"source": [
"i = 0\n",
"verbose = False\n",
"results = {}\n",
"for raw_result, tensor_field in run.execute():\n",
" result = pd.DataFrame(raw_result)\n",
" if verbose:\n",
" print()\n",
" print(f\"Tensor Field: {type(tensor_field)}\")\n",
" print(tabulate(tensor_field, headers='keys', tablefmt='psql'))\n",
" print(f\"Output: {type(result)}\")\n",
" print(tabulate(result, headers='keys', tablefmt='psql'))\n",
" print()\n",
" results[i] = {}\n",
" results[i]['result'] = result\n",
" results[i]['simulation_parameters'] = simulation_parameters[i]\n",
" i += 1\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.100255970519671"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"experiment_index = 0\n",
"results[experiment_index]['result'].price[1]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'kappa': 2,\n",
" 'invariant': 20000000.0,\n",
" 'dust': 1e-08,\n",
" 'rule': 'martin',\n",
" 'dP': 'N/A',\n",
" 'sigma': 0.005,\n",
" 'period': 'N/A'}"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"results[0]['simulation_parameters']['M']"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def assign_run(df, T = time_periods_per_run):\n",
" temp_df = df.reset_index()\n",
" temp_df[\"run\"] = temp_df['index'].apply(lambda x: int(np.floor(x/(T+1))))\n",
" \n",
" return temp_df.drop(\"index\", axis =1)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"def append_parameters(result, experiment_index):\n",
" sim_params = result['simulation_parameters']\n",
" params = sim_params['M']\n",
" frame = result['result']\n",
" frame[\"experiment_index\"] = experiment_index\n",
" for key in params.keys():\n",
" frame[key] = params[key]\n",
" \n",
" return frame"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"def package_results(results):\n",
" dataframes = [ assign_run(append_parameters(results[experiment_index],experiment_index)) for experiment_index in range(i)]\n",
" return pd.concat(dataframes)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"df = package_results(results)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[['timestep','experiment_index','run','price', 'spot_price']].groupby(['run','experiment_index']).plot(x='timestep', y=['price', 'spot_price'])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"df['err'] = df.price-df.spot_price\n",
"df['abs_err']= df.err.apply(abs)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1dc92e80>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[df.rule=='step'].err.plot()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1ced3be0>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[df.rule=='step'].iloc[1995:2050].plot(y=['price', 'spot_price'])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1d2dff98>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[df.rule=='step'].iloc[1995:2050].plot(y=['err','abs_err'])"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1d5536d8>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.abs_err.plot(logy=True)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"run experiment_index\n",
"0 0 AxesSubplot(0.125,0.125;0.775x0.755)\n",
" 1 AxesSubplot(0.125,0.125;0.775x0.755)\n",
" 2 AxesSubplot(0.125,0.125;0.775x0.755)\n",
" 3 AxesSubplot(0.125,0.125;0.775x0.755)\n",
"dtype: object"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df[['timestep','experiment_index','run','abs_err']].groupby(['run','experiment_index']).plot(x='timestep', y='abs_err', logy=True)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
]
},
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1a1f37a828>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"martin\"])"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1a1ecb9cc0>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"ramp\"])"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.JointGrid at 0x1a1ec3ce48>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"sin\"])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[(df.rule==\"step\")])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"gb=df[['timestep','experiment_index','run','abs_err']].groupby(['run','experiment_index'])"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>output_price</th>\n",
" <th>price</th>\n",
" <th>reserve</th>\n",
" <th>run</th>\n",
" <th>spot_price</th>\n",
" <th>substep</th>\n",
" <th>supply</th>\n",
" <th>timestep</th>\n",
" <th>experiment_index</th>\n",
" <th>kappa</th>\n",
" <th>invariant</th>\n",
" <th>dust</th>\n",
" <th>rule</th>\n",
" <th>dP</th>\n",
" <th>sigma</th>\n",
" <th>period</th>\n",
" <th>err</th>\n",
" <th>abs_err</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.100000</td>\n",
" <td>0.100000</td>\n",
" <td>50000.000000</td>\n",
" <td>0</td>\n",
" <td>0.100000</td>\n",
" <td>0</td>\n",
" <td>1.000000e+06</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>20000000.0</td>\n",
" <td>1.000000e-08</td>\n",
" <td>martin</td>\n",
" <td>N/A</td>\n",
" <td>0.005</td>\n",
" <td>N/A</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.100242</td>\n",
" <td>0.100256</td>\n",
" <td>50484.886860</td>\n",
" <td>0</td>\n",
" <td>0.100484</td>\n",
" <td>1</td>\n",
" <td>1.004837e+06</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>20000000.0</td>\n",
" <td>1.000000e-08</td>\n",
" <td>martin</td>\n",
" <td>N/A</td>\n",
" <td>0.005</td>\n",
" <td>N/A</td>\n",
" <td>-0.000228</td>\n",
" <td>0.000228</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.100164</td>\n",
" <td>0.100143</td>\n",
" <td>49844.491776</td>\n",
" <td>0</td>\n",
" <td>0.099844</td>\n",
" <td>1</td>\n",
" <td>9.984437e+05</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>20000000.0</td>\n",
" <td>1.000000e-08</td>\n",
" <td>martin</td>\n",
" <td>N/A</td>\n",
" <td>0.005</td>\n",
" <td>N/A</td>\n",
" <td>0.000299</td>\n",
" <td>0.000299</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.100175</td>\n",
" <td>0.100178</td>\n",
" <td>50507.562807</td>\n",
" <td>0</td>\n",
" <td>0.100506</td>\n",
" <td>1</td>\n",
" <td>1.005063e+06</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>20000000.0</td>\n",
" <td>1.000000e-08</td>\n",
" <td>martin</td>\n",
" <td>N/A</td>\n",
" <td>0.005</td>\n",
" <td>N/A</td>\n",
" <td>-0.000329</td>\n",
" <td>0.000329</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.099589</td>\n",
" <td>0.099521</td>\n",
" <td>48681.056941</td>\n",
" <td>0</td>\n",
" <td>0.098672</td>\n",
" <td>1</td>\n",
" <td>9.867224e+05</td>\n",
" <td>4</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>20000000.0</td>\n",
" <td>1.000000e-08</td>\n",
" <td>martin</td>\n",
" <td>N/A</td>\n",
" <td>0.005</td>\n",
" <td>N/A</td>\n",
" <td>0.000849</td>\n",
" <td>0.000849</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" output_price price reserve run spot_price substep \\\n",
"0 0.100000 0.100000 50000.000000 0 0.100000 0 \n",
"1 0.100242 0.100256 50484.886860 0 0.100484 1 \n",
"2 0.100164 0.100143 49844.491776 0 0.099844 1 \n",
"3 0.100175 0.100178 50507.562807 0 0.100506 1 \n",
"4 0.099589 0.099521 48681.056941 0 0.098672 1 \n",
"\n",
" supply timestep experiment_index kappa invariant dust \\\n",
"0 1.000000e+06 0 0 2 20000000.0 1.000000e-08 \n",
"1 1.004837e+06 1 0 2 20000000.0 1.000000e-08 \n",
"2 9.984437e+05 2 0 2 20000000.0 1.000000e-08 \n",
"3 1.005063e+06 3 0 2 20000000.0 1.000000e-08 \n",
"4 9.867224e+05 4 0 2 20000000.0 1.000000e-08 \n",
"\n",
" rule dP sigma period err abs_err \n",
"0 martin N/A 0.005 N/A 0.000000 0.000000 \n",
"1 martin N/A 0.005 N/A -0.000228 0.000228 \n",
"2 martin N/A 0.005 N/A 0.000299 0.000299 \n",
"3 martin N/A 0.005 N/A -0.000329 0.000329 \n",
"4 martin N/A 0.005 N/A 0.000849 0.000849 "
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"df['price_pc']=df.price.pct_change()\n",
"df['spot_price_pc']=df.spot_price.pct_change()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 429x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(x='spot_price_pc', y='price_pc', hue='rule',truncate=True,data=df)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"def response_plot(rdf, title):\n",
" plt.subplots(figsize=(10,6))\n",
" ax1=subplot(2,1,1)\n",
" rdf[[\"spot_price\",\"price\"]].plot(ax=ax1)\n",
" plt.legend([\"spot price (output: $P_t$)\", \"price sample (input: $\\hat P_t$)\" ])\n",
" #plt.xlabel(\"transaction count (time)\")\n",
" plt.ylabel(\"Price, $\\hat P_t$, $P_t$\")\n",
" plt.title(title+\" Response Dynamics\")\n",
" ax2=subplot(2,1,2)\n",
" rdf[[\"abs_err\"]].plot(ax=ax2,logy=True, color='green')\n",
" plt.legend([\"$Error: |P_t-\\hat P_t|$\" ])\n",
" plt.xlabel(\"transaction count (time)\")\n",
" plt.ylabel(\"Absolute Value of Estimation Error\")\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"response_plot(df[df.rule=='step'], \"Step\")"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"response_plot(df[df.rule=='ramp'], \"Ramp\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"response_plot(df[df.rule=='sin'], \"Periodic\")"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"response_plot(df[df.rule=='martin'], \"Martingale\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}