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@StarvingMarvin
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Attempts at LZ Rating Predictions\n",
"\n",
"This is a revised notebook that was shared on [r/cbaduk](https://reddit.com/r/cbaduk) about a week ago, but expanded with more stats of progress so far, charts and predictions of future progress.\n",
"\n",
"Notebook starts with bunch of code you can skip if you are not interested. Actual charts and estimates are [couple of screens under](#Prediction-time!)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fetching and merging"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from bs4 import BeautifulSoup\n",
"from urllib.request import urlopen\n",
"from copy import deepcopy\n",
"import json\n",
"import itertools"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"INTERNAL_RATINGS_URL = 'http://zero.sjeng.org/data/elograph.json'\n",
"CGOS_BAYES_URL = 'http://www.yss-aya.com/cgos/19x19/bayes.html'\n",
"CGOS_STANDINGS_URL = 'http://www.yss-aya.com/cgos/19x19/standings.html'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def get_best_networks():\n",
" with urlopen(INTERNAL_RATINGS_URL) as resp:\n",
" int_str = resp.read().decode('utf8')\n",
" internal = json.loads(int_str)\n",
" return reversed([i for i in internal if i['best'] == 'true'])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def get_cgos_bayes():\n",
" with urlopen(CGOS_BAYES_URL) as resp:\n",
" cgos_bayes_str = resp.read().decode('utf8')\n",
" doc = BeautifulSoup(cgos_bayes_str, 'html5lib')\n",
" return {\n",
" row.contents[3].a.string: int(row.contents[5].string)\n",
" for row in itertools.islice(doc.find_all('tr'), 1, None)\n",
" }"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def get_merged_ratings():\n",
" bests = get_best_networks()\n",
" cgos_bayes = get_cgos_bayes()\n",
" res = []\n",
" for b in bests:\n",
" name = 'LZ-%s-t1-p1600' % b['hash']\n",
" if name in cgos_bayes:\n",
" b['cgos'] = cgos_bayes.get(name)\n",
" res.append(b)\n",
" return res"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Processing and plotting"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from numpy.polynomial import polynomial as poly\n",
"from datetime import date"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def spread_equidistantly(ratings, start, end):\n",
" res = deepcopy(ratings)\n",
" start_net = 0\n",
" end_net = 0\n",
" count = 0\n",
" to_fix = []\n",
" for r in res:\n",
" if r['hash'] == start:\n",
" start_net = r['net']\n",
" continue\n",
" if r['hash'] == end:\n",
" end_net = r['net']\n",
" break\n",
" if start_net:\n",
" count += 1\n",
" to_fix.append(r)\n",
" diff = (end_net - start_net) / count\n",
" for i, r in enumerate(to_fix):\n",
" r['net'] = start_net + (i + 1) * diff\n",
" return res"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def linear_cgos_game_count(ratings):\n",
" internal = [r['rating'] for r in ratings]\n",
" cgos = [r['cgos'] for r in ratings]\n",
" game_count = [r['net'] for r in ratings]\n",
" \n",
" n, k = poly.polyfit(cgos, internal, 1)\n",
" scaled = (np.asarray(internal) - n) / k\n",
" \n",
" fig, ax = plt.subplots(figsize=(12, 9))\n",
" ax.plot(game_count, scaled, marker='o', label='scaled')\n",
" ax.plot(game_count, cgos, marker='s', label='cgos')\n",
" \n",
" ax.legend()\n",
" ax.grid(True)\n",
" \n",
" ax.set(xlabel='Selfplay games', ylabel='Elo',\n",
" title='Internal Elo = CGos * {:.2f} {:=+6d}'.format(k, int(n)))\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def cgos_internal_projections(ratings):\n",
" internal = np.asarray([r['rating'] for r in ratings])\n",
" cgos = np.asarray([r['cgos'] for r in ratings])\n",
" coef1 = poly.polyfit(internal, cgos, 1)\n",
" coef_latest = poly.polyfit(internal[-30:], cgos[-30:], 1)\n",
" coef2 = poly.polyfit(internal, cgos, 2)\n",
" \n",
" proj = np.concatenate([internal, [10500]])\n",
" proj_latest = np.concatenate([internal[-30:], [10500]])\n",
" \n",
" fig, ax = plt.subplots(figsize=(12, 9))\n",
" \n",
" ax.plot(internal, cgos, label='cgos')\n",
" ax.plot(proj, poly.polyval(proj, coef1), '--', label='linear')\n",
" ax.plot(proj_latest, poly.polyval(proj_latest, coef_latest), '-.', label='linear last 30 nets')\n",
" ax.plot(\n",
" proj, poly.polyval(proj, coef2), ':', label='quadriatic'\n",
" )\n",
" \n",
" ax.set(xlabel='Internal Elo', ylabel='CGoS Elo', title='Projections')\n",
" ax.legend()\n",
" ax.grid(True)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def avg_gain(ratings, key, ylabel='rating gain', window_size=10):\n",
" avgs = []\n",
" gain_min = []\n",
" gain_max = []\n",
" avg = (ratings[-1][key] - ratings[0][key]) / (len(ratings) - 1)\n",
" for i in range(len(ratings) - window_size):\n",
" avgs.append((ratings[i+window_size][key] - ratings[i][key]) / (window_size - 1))\n",
" diffs = [\n",
" b[key] - a[key] for a, b in\n",
" zip(ratings[i:i + window_size - 1], ratings[i + 1:i+window_size])\n",
" ]\n",
" gain_min.append(min(diffs))\n",
" gain_max.append(max(diffs))\n",
" fig, ax = plt.subplots(figsize=(8, 6))\n",
" cnt = len(avgs)\n",
" ax.plot(range(cnt), avgs, label='window average')\n",
" ax.plot(range(cnt), gain_min, '--', label='window min')\n",
" ax.plot(range(cnt), gain_max, '--', label='window max')\n",
" ax.plot(range(cnt), np.ones([cnt]) * avg, ':', label='overall average')\n",
" ax.set(ylabel=ylabel,\n",
" title='Gain across a sliding window of {:d} consecutive networks AVG = {:.2f}'.format(window_size, avg))\n",
" ax.legend()\n",
" ax.grid(True)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def rating_gamecount_log_projection(ratings, key='cgos', ylabel='rating', rank=1, predictions=1):\n",
" rating = np.asarray([r[key] for r in ratings])\n",
" game_count = np.asarray([r['net'] for r in ratings])\n",
" lg = np.log(game_count)\n",
" lgfit = poly.polyfit(lg, rating, rank)\n",
" fig, ax = plt.subplots(figsize=(12, 9))\n",
" ax.plot(game_count, rating)\n",
" x = np.concatenate([game_count, [(5 + i) * 1000 * 1000 for i in range(predictions)]])\n",
" ax.plot(x, poly.polyval(np.log(x), lgfit), '--', label='log fit')\n",
" ax.set(ylabel=ylabel, xlabel='Selfplay games', \n",
" title='Rating prediction')\n",
" ax.legend()\n",
" ax.grid(True)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"merged = get_merged_ratings()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prediction time!\n",
"\n",
"Disclaimer: I know just enough linear algebra to be dangerous with it, but not enough statistics to really know if what I'm doing makes sense. Statistical significance, confidence intervals, standard deviations, etc. are nowhere to be found on this page which only proves that these numbers shouldn't be trusted :) In my defense, I'll express my final estimate in weeks, so this analysis should be good enough for that level of precision.\n",
"\n",
"Let's first assume that CGoS rating and internal Elo are linearly correlated, and see how rating progressed with number of self-play games so far:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f9a9fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"linear_cgos_game_count(merged)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That was nice, but with scale factor of 3.25, we could expect LZ to measure up with top contestants on CGoS only when it reaches internal Elo around 12,000. Considering a diminishing pace of progress, it could take a very long time. Let's see if linear relation is really the best way to predict future progress:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111b87940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cgos_internal_projections(merged)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A bit of relief. It turns out simple linear regression is most pessimistic in its predictions, and it doesn't fit the data very well anyway. Two competing models are quadratic and linear that only takes into account last 30 networks.\n",
"\n",
"So why linear on just last 30 networks? Well, earlier networks were smaller, and code got changed in the meantime, and bugs fixed. Maybe it makes sense to ignore how older code / network size progressed and focus on a current state. This seams like a realistic lower bound of progress. At around 10,000 internal Elo, LZ would sit comfortably in top 100 on CGoS, and maybe even top 50. Domination expected around Elo 11,000.\n",
"\n",
"Quadratic is the most optimistic of three, and it also fits data very well. It says, the stronger the network is, more will it's Elo gain be transferred to CGoS. Reasoning behind it is that earlier networks could exploit weaknesses in previous iterations, and achieve easy wins, but those exploits weren't so generalizable to other opponents. As newer networks have fewer obvious exploits, it requires real strength gain to get promoted. Internal Elo of 10,000 would be enough to match top bots on CGoS.\n",
"\n",
"So how much of internal Elo gain can a new network expect anyway?"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111b90a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"avg_gain(merged, 'rating', 'Internal gain')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ouch. So Internal Elo transfers better and better to CGoS rating, but each new network gains less and less compared to the previous one. Does these two effects cancel out?"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f99e2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"avg_gain(merged, 'cgos', 'CGoS gain')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pretty much. While new network can gain as much as 200 points (or loose as much as 100), average gain merrily oscillates around 26 points. Best LZ is around 2900 CGoS rating, while top bots are ~4000, so it seems that we are a bit more than 40 networks away from the top spot. Considering that recent networks gain ~60 internal points and that minimum for promotion is ~40 points, \"a bit more than 40 networks\" translates to about 2500 internal Elo. So we get a number of 10,500 internal Elo to get to the top which is smack in between our previous two predictions. We are onto something here... But how much is that in a real time?\n",
"\n",
"Dates are not available in ratings JSON, but currently site claims 54360 self-played games in last 24h. Latest candidate-network is at 3.7 millions. Network 55b... was at 1.7 millions on 4th of January"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"days: 37\n",
"games per day: 54054.05405405405\n"
]
}
],
"source": [
"diff = date(2018, 2, 10) - date(2018, 1, 4)\n",
"print('days: ', diff.days)\n",
"print('games per day: ', 2000000 / diff.days)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So ~54000 games a day seems like pretty stable estimate. Now all that is left to figure out is how many self-play games are needed to get to 4k CGoS Elo.\n",
"\n",
"This is where it gets a bit ugly. Reason is that there was a bug in training code that caused a long stretch of slow improvement, followed by burst of new networks once the bug was fixed. So I'll *(gasp)* tweak the data to fit curves better."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"tweaked = spread_equidistantly(merged, 'ffc1e5', 'd16fa4')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So what kind of curves should we fit? This slowing down business sounds like logarithmic, so let's try that: "
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f927c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rating_gamecount_log_projection(tweaked, key='rating', ylabel='Internal Elo', predictions=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It doesn't quite fit the data, but we have ourselves a first estimate: in about 2 million more games, or about 5 weeks, LZ will rule the world. Let's crosscheck with fit on CGoS rating:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f9a3240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rating_gamecount_log_projection(tweaked, key='cgos', ylabel='CGoS Elo', predictions=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nope. This is ridiculous extrapolation from available data and a fit that isn't that good anyway, but let's call it a 5 more million games, or about 12 weeks. Can we get better predictions?"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112833c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rating_gamecount_log_projection(tweaked, key='cgos', ylabel='CGoS Elo', predictions=2, rank=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Fit is better, but result is... never? What does internal Elo says?"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1126cd128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rating_gamecount_log_projection(tweaked, key='rating', ylabel='Internal Elo', predictions=1, rank=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OMG it's going backwards! Tweak some more parameters!"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1124ebcf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rating_gamecount_log_projection(tweaked, key='rating', ylabel='Internal Elo', predictions=4, rank=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I'm assuming cubic polynomial of logarithm of something makes no sense whatsoever, but there you go... another 12 weeks estimate. \n",
"\n",
"Well, it turned out that fitting this curve was a bit trickier than I expected. It means making exact prediction is hard, but there is one simple reason to be optimistic: if progress stalls, we can always add more layers :)\n",
"\n",
"![Stack more layers](https://i.imgur.com/1b2yZ2t.png)\n",
"\n",
"Joking aside, instead of a mindless curve fitting, I assume a better way to predict rating is to model rating distribution of candidate networks as a function of rating, and workout probability of network getting promoted and its Elo. Having said that, it's not something I know how to do right now. Maybe next week :)"
]
}
],
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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