diff --git a/abc_sim.ipynb b/abc_sim.ipynb index fca9e8f..e7e72e5 100644 --- a/abc_sim.ipynb +++ b/abc_sim.ipynb @@ -64,7 +64,8 @@ "\n", "#gain factors\n", "g = np.random.normal(1, .05, size=n)\n", - "phat0 = g*F0/S0\n", + "phat0 = g*F0/S0 #derivative, integral and proportion\n", + "#agents as controllers, co-steering\n", "\n", "#holdings fiat\n", "h = sts.expon.rvs( loc=10,scale=10, size=n)\n", @@ -125,74 +126,74 @@ "text/plain": [ "{'action': {},\n", " 'funds': 50000.0,\n", - " 'holdings': array([11.44967426, 14.27340299, 11.34460577, 16.83844489, 11.25574143,\n", - " 38.43594327, 11.42707407, 19.78337576, 18.92621004, 13.76349783,\n", - " 20.56410232, 46.70590673, 11.39419877, 16.36850516, 23.93412804,\n", - " 13.16706921, 17.47432165, 24.08451343, 10.31676 , 22.76223411,\n", - " 26.52489583, 23.50714218, 10.00885272, 36.39730482, 10.66712987,\n", - " 20.227257 , 43.40147235, 15.96228714, 12.23014236, 24.86208805,\n", - " 15.15989215, 34.42215238, 15.71773678, 40.79049265, 34.35363414,\n", - " 18.53725115, 28.23462521, 12.53490108, 38.00409625, 27.43551221,\n", - " 18.01672824, 19.11400584, 11.6431133 , 10.30271338, 10.64391881,\n", - " 10.64852586, 30.93014093, 19.38071005, 22.30292307, 11.68379312,\n", - " 39.84043761, 24.574661 , 33.22214478, 13.69030971, 12.00214066,\n", - " 12.72863488, 21.56760105, 13.74530629, 10.39138789, 14.01340641,\n", - " 17.00097386, 15.41768633, 13.31798796, 10.77507215, 24.24516956,\n", - " 17.6458217 , 15.77980279, 41.86602584, 14.16639806, 12.7546665 ,\n", - " 10.0249518 , 17.56328567, 14.15913938, 14.20306902, 14.08950041,\n", - " 12.92788586, 13.5235944 , 10.78500805, 17.02972715, 10.42989369,\n", - " 23.47282945, 49.81629213, 13.15758437, 10.80859308, 14.7902493 ,\n", - " 10.15097881, 15.60049615, 12.83987333, 38.42333432, 28.34511287,\n", - " 14.68894579, 12.36590155, 13.2392618 , 18.75057787, 17.06822438,\n", - " 13.28040106, 27.97018514, 17.74674445, 24.92888703, 14.73829988]),\n", - " 'prices': array([0.05076765, 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0.04983284, 0.04901867, 0.04890377, 0.05049732,\n", + " 0.05249647, 0.05095028, 0.0441108 , 0.05163361, 0.05411964,\n", + " 0.04713399, 0.04549664, 0.04681616, 0.04858181, 0.04545788,\n", + " 0.04773107, 0.04869407, 0.05341261, 0.04656211, 0.05342601,\n", + " 0.04914745, 0.04772819, 0.05139082, 0.05172728, 0.0487093 ,\n", + " 0.05103352, 0.05213276, 0.04889359, 0.05111248, 0.04896539,\n", + " 0.04812545, 0.05192963, 0.04808833, 0.04949678, 0.0492233 ,\n", + " 0.04882807, 0.05036891, 0.0467698 , 0.0507927 , 0.04532166,\n", + " 0.05045927, 0.05185483, 0.05061906, 0.0471148 , 0.05037774,\n", + " 0.04498093, 0.04693984, 0.05234923, 0.05003376, 0.04520563,\n", + " 0.05424929, 0.05298796, 0.0475786 , 0.05171806, 0.05144872,\n", + " 0.04878878, 0.04965968, 0.05603404, 0.0526337 , 0.05230642,\n", + " 0.0475347 , 0.04746996, 0.04725175, 0.04728694, 0.04727963,\n", + " 0.04923217, 0.04756032, 0.05072881, 0.04747549, 0.05213114,\n", + " 0.0513199 , 0.05007728, 0.04698501, 0.0464746 , 0.0532879 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7652.95298331,\n", - " 8495.05242579, 9575.11202993, 14490.87287117, 10298.6449875 ,\n", - " 5895.62687053, 6698.36806095, 7458.71217952, 6273.01273223,\n", - " 25149.9071597 , 11188.97190722, 7327.18451529, 6971.60000505,\n", - " 7675.40963511, 6306.41099533, 9411.42988418, 13969.68945897,\n", - " 7475.83112495, 10749.70865682, 16742.50176116, 6515.86309609,\n", - " 12612.40143375, 10953.7926157 , 7670.7853129 , 8109.20514007,\n", - " 8581.57451943, 6385.27901553, 6205.82305304, 5774.12248906,\n", - " 21182.64885037, 7131.17285249, 7216.83514995, 11895.38277176,\n", - " 6077.92135285, 7786.18578418, 6611.78458508, 8782.35281246,\n", - " 8073.0688235 , 16270.86734574, 6187.26596043, 9088.99573494,\n", - " 7381.68102505, 9874.10407464, 7874.93342299, 7223.40148861,\n", - " 12249.93410833, 15994.84888653, 7606.42225711, 5543.43857792,\n", - " 13000.42163896, 5729.75773036, 9339.06202444, 9086.63451333,\n", - " 8390.91610821, 16620.0703585 , 10257.92894288, 12012.12257656,\n", - " 17749.95897543, 12735.62123468, 13868.07995185, 21451.66270904])}" + " 'tokens': array([ 5045.95488109, 8465.16123207, 5492.72549825, 6997.56211932,\n", + " 9162.14058538, 14490.41888014, 5589.99321481, 15658.78615548,\n", + " 6735.67280353, 5179.01697572, 18838.01993433, 6189.8033805 ,\n", + " 7492.28668969, 6410.95177633, 9057.35051276, 15523.88368226,\n", + " 5855.81308004, 4892.00972267, 10431.97734658, 11690.80052299,\n", + " 4999.88047338, 10778.7880795 , 5700.51681627, 16001.28191918,\n", + " 14054.03236021, 8742.20974403, 6234.07044592, 11934.15041958,\n", + " 11250.94812215, 23003.68483657, 7833.6714737 , 11250.55216845,\n", + " 5269.13719671, 4826.10114068, 11443.84011257, 10194.64075 ,\n", + " 18228.7290032 , 7022.851131 , 14230.94725153, 6914.76968861,\n", + " 7700.39939674, 6433.6147255 , 13475.98010276, 27250.77245774,\n", + " 4883.13577529, 9704.61282328, 13333.16371176, 6783.87569638,\n", + " 16674.00113985, 9674.37585112, 5947.68456338, 4796.30464789,\n", + " 8000.37773103, 5002.31854441, 5608.07539361, 5780.55190727,\n", + " 27850.96845539, 20737.16982456, 18783.04762545, 6792.08237484,\n", + " 14565.15273845, 9718.92692606, 6875.63232982, 5332.34493973,\n", + " 6992.95319922, 5248.97399924, 13417.18510603, 6294.42939256,\n", + " 13395.81210109, 5288.34639163, 8549.27124423, 12019.05094293,\n", + " 5479.8757507 , 5725.68844103, 4903.4720615 , 11703.93840485,\n", + " 16544.94872023, 10505.00458213, 7498.58093993, 5442.05635022,\n", + " 9407.7677409 , 17285.54210621, 4949.23116013, 13489.15282266,\n", + " 8876.41640764, 9862.33055988, 7966.99638252, 13849.26922322,\n", + " 12829.54567547, 16488.4836463 , 8523.82010298, 7643.80708996,\n", + " 6868.28170059, 9681.1611153 , 4938.35814964, 8944.76131832,\n", + " 9334.92802739, 18765.94208493, 15532.18907555, 4932.7261734 ])}" ] }, "execution_count": 6, @@ -505,26 +506,26 @@ "name": "stdout", "output_type": "stream", "text": [ - "[{'N': 1, 'T': range(0, 300), 'M': {'kappa': 2, 'lambda': 200, 'gains': array([1.01535303, 0.94669471, 0.99863361, 0.91696039, 0.97030072,\n", - " 0.9221604 , 0.87084168, 1.04207957, 0.96289949, 0.91718973,\n", - " 0.99693053, 1.02431411, 0.92674754, 0.90909958, 1.03321212,\n", - " 0.96622344, 0.9994914 , 1.01483049, 1.04987409, 0.98681474,\n", - " 0.97199609, 0.93780697, 1.04419426, 0.94070826, 0.890677 ,\n", - " 0.97459264, 1.01360303, 0.94063754, 1.02463315, 1.01350909,\n", - " 0.8921601 , 1.01607629, 0.99305991, 1.00907995, 1.01759725,\n", - " 1.01668989, 0.92590389, 1.01565762, 0.99027221, 0.97351841,\n", - " 1.00706862, 1.01969654, 0.96667426, 0.98849401, 0.95999794,\n", - " 1.06593137, 0.96815824, 0.93645407, 0.97590572, 1.05963953,\n", - " 1.06745931, 1.046569 , 0.99893183, 0.99527535, 0.99574013,\n", - " 1.01067462, 0.97592448, 0.99275056, 1.0387044 , 1.00212574,\n", - " 1.02541185, 1.07054733, 0.89455423, 1.03301249, 1.00769868,\n", - " 1.0597725 , 0.87798826, 0.97200691, 1.06589903, 0.99042948,\n", - " 1.03687133, 0.98595765, 1.07233284, 1.00036976, 0.96608172,\n", - " 0.90368726, 1.11300847, 0.9543083 , 0.94282397, 1.0456161 ,\n", - " 1.0136623 , 0.95257293, 1.05396672, 1.09255892, 1.00710184,\n", - " 0.98100727, 0.93446405, 0.96623079, 1.06349989, 0.94081792,\n", - " 0.9551108 , 0.92473912, 1.01310231, 1.03086491, 0.98264264,\n", - " 1.04290826, 1.08861313, 1.08212039, 1.04546736, 1.00894222]), 'population': 100, 'beta': 0.9, 'phi': 0.05, 'invariant': 20000000.0}}]\n" + "[{'N': 1, 'T': range(0, 300), 'M': {'kappa': 2, 'lambda': 200, 'gains': array([1.05575675, 0.99995981, 1.07538913, 0.966035 , 1.0013139 ,\n", + " 0.94349617, 1.0805429 , 1.04261766, 1.01213291, 1.01237292,\n", + " 1.01486181, 0.9966569 , 0.98037346, 0.97807533, 1.00994632,\n", + " 1.04992949, 1.01900569, 0.88221597, 1.03267212, 1.08239272,\n", + " 0.94267973, 0.90993285, 0.93632321, 0.97163616, 0.90915758,\n", + " 0.95462133, 0.97388143, 1.06825213, 0.93124217, 1.06852024,\n", + " 0.98294893, 0.95456386, 1.02781635, 1.03454555, 0.97418601,\n", + " 1.02067033, 1.04265517, 0.97787175, 1.02224961, 0.97930779,\n", + " 0.9625091 , 1.0385925 , 0.96176659, 0.98993556, 0.98446608,\n", + " 0.97656132, 1.00737812, 0.93539593, 1.01585395, 0.90643313,\n", + " 1.00918532, 1.03709662, 1.01238115, 0.94229606, 1.0075549 ,\n", + " 0.89961863, 0.93879688, 1.04698469, 1.0006752 , 0.90411258,\n", + " 1.08498571, 1.0597592 , 0.95157197, 1.03436115, 1.02897445,\n", + " 0.9757756 , 0.99319351, 1.12068079, 1.05267408, 1.04612843,\n", + " 0.95069395, 0.94939915, 0.94503508, 0.94573885, 0.94559256,\n", + " 0.98464337, 0.95120641, 1.01457619, 0.94950975, 1.04262271,\n", + " 1.02639797, 1.00154554, 0.93970012, 0.92949193, 1.06575792,\n", + " 1.03240097, 0.93659134, 0.84303469, 1.01408065, 1.0504131 ,\n", + " 0.9991891 , 1.00074169, 0.96901086, 1.05632221, 1.01966576,\n", + " 1.04456776, 0.99247196, 1.01373915, 0.94931392, 1.00465288]), 'population': 100, 'beta': 0.9, 'phi': 0.05, 'invariant': 20000000.0}}]\n" ] } ], @@ -572,8 +573,8 @@ " \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n", " by BlockScience\n", " \n", - "Execution Mode: multi_proc: []\n", - "Configurations: []\n" + "Execution Mode: multi_proc: []\n", + "Configurations: []\n" ] }, { @@ -589,63 +590,7 @@ "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:47: RuntimeWarning: divide by zero encountered in double_scalars\n", " realized_price = deltaR/deltaS\n", "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:37: RuntimeWarning: invalid value encountered in double_scalars\n", - " realized_price = deltaR/deltaS\n", - "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:37: RuntimeWarning: divide by zero encountered in double_scalars\n", - " realized_price = deltaR/deltaS\n", - "Process ForkPoolWorker-1:\n" - ] - }, - { - "ename": "KeyboardInterrupt", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mverbose\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mresults\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0mraw_result\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtensor_field\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrun\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mexecute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mDataFrame\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mraw_result\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mverbose\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/anaconda3/lib/python3.6/site-packages/cadCAD/engine/__init__.py\u001b[0m in \u001b[0;36mexecute\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 110\u001b[0m \u001b[0;32melif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mexec_context\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mExecutionMode\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmulti_proc\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 111\u001b[0m \u001b[0;31m# if len(self.configs) > 1:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 112\u001b[0;31m \u001b[0msimulations\u001b[0m \u001b[0;34m=\u001b[0m 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\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_event\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtimeout\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 636\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 637\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mget\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtimeout\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/anaconda3/lib/python3.6/threading.py\u001b[0m in \u001b[0;36mwait\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m 549\u001b[0m \u001b[0msignaled\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_flag\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 550\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0msignaled\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 551\u001b[0;31m \u001b[0msignaled\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cond\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtimeout\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 552\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0msignaled\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 553\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m/anaconda3/lib/python3.6/threading.py\u001b[0m in \u001b[0;36mwait\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m 293\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;31m# restore state no matter what (e.g., KeyboardInterrupt)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 294\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mtimeout\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 295\u001b[0;31m \u001b[0mwaiter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0macquire\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 296\u001b[0m \u001b[0mgotit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 297\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mKeyboardInterrupt\u001b[0m: " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Traceback (most recent call last):\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/process.py\", line 258, in _bootstrap\n", - " self.run()\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/process.py\", line 93, in run\n", - " self._target(*self._args, **self._kwargs)\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/pool.py\", line 119, in worker\n", - " result = (True, func(*args, **kwds))\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/pool.py\", line 44, in mapstar\n", - " return list(map(*args))\n", - " File \"/anaconda3/lib/python3.6/site-packages/pathos/helpers/mp_helper.py\", line 15, in \n", - " func = lambda args: f(*args)\n", - " File \"/anaconda3/lib/python3.6/site-packages/cadCAD/engine/__init__.py\", line 47, in \n", - " results = p.map(lambda t: t[0](t[1], t[2], t[3], t[4], t[5], t[6]), l)\n", - " File \"/anaconda3/lib/python3.6/site-packages/cadCAD/engine/simulation.py\", line 229, in simulation\n", - " list(range(runs))\n", - " File \"/anaconda3/lib/python3.6/site-packages/pathos/threading.py\", line 134, in map\n", - " return _pool.map(star(f), zip(*args)) # chunksize\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/pool.py\", line 266, in map\n", - " return self._map_async(func, iterable, mapstar, chunksize).get()\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/pool.py\", line 638, in get\n", - " self.wait(timeout)\n", - " File \"/anaconda3/lib/python3.6/site-packages/multiprocess/pool.py\", line 635, in wait\n", - " self._event.wait(timeout)\n", - " File \"/anaconda3/lib/python3.6/threading.py\", line 551, in wait\n", - " signaled = self._cond.wait(timeout)\n", - " File \"/anaconda3/lib/python3.6/threading.py\", line 295, in wait\n", - " waiter.acquire()\n", - "KeyboardInterrupt\n" + " realized_price = deltaR/deltaS\n" ] } ], @@ -671,7 +616,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -681,25 +626,67 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "rdf.prices.apply(np.min).plot()\n", "rdf.prices.apply(np.median).plot()\n", @@ -733,9 +741,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "rdf.prices.apply(np.min).apply(np.log).plot()\n", "rdf.prices.apply(np.median).apply(np.log).plot()\n", @@ -748,7 +777,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -758,9 +787,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "(np.sign(rdf['mean_price']-rdf['spot_price'])*(rdf['mean_price']-rdf['spot_price'])**2).apply(np.log10).plot(alpha=1)\n", "(-np.sign(rdf['mean_price']-rdf['spot_price'])*(rdf['mean_price']-rdf['spot_price'])**2).apply(np.log10).plot(alpha=.5)\n", @@ -769,7 +819,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -779,27 +829,90 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "#tail T\n", "T = 50\n", @@ -814,7 +927,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, "outputs": [], "source": [ @@ -824,25 +937,75 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(array([137., 0., 2., 4., 4., 3., 3., 1., 0., 1.]),\n", + " array([ 0. , 138.42126797, 276.84253594, 415.2638039 ,\n", + " 553.68507187, 692.10633984, 830.52760781, 968.94887578,\n", + " 1107.37014374, 1245.79141171, 1384.21267968]),\n", + " )" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "rdf.plot(x='reserve', y='supply', kind='scatter', alpha=.5)\n", "axis = plt.axis()\n", @@ -884,16 +1089,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "(rdf.tokens.apply(sum)-rdf.supply).plot()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 40, "metadata": {}, "outputs": [], "source": [ @@ -910,7 +1136,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "metadata": {}, "outputs": [], "source": [ @@ -919,16 +1145,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "rdf.tokens.apply(np.count_nonzero).plot()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 46, "metadata": {}, "outputs": [], "source": [ @@ -964,7 +1253,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": {}, "outputs": [], "source": [ @@ -973,18 +1262,74 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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