{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "\n", "import numpy as np\n", "from __future__ import division\n", "import itertools\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "plt.rcParams['axes.grid'] = False\n", "plt.rcParams['figure.figsize'] = (10,16)\n", "\n", "import logging\n", "logger = logging.getLogger()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "8 Advertising on the Web\n", "=============\n", "\n", "1. \"adwords\" model, search \n", "2. \"collaborative filtering\", suggestion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.1 Issues in On-Line Advertising\n", "#### 8.1.1 Advertising Opportunities\n", "1. Auto trading sites allow advertisters to post their ads directly on the website. \n", "\n", "2. Display ads are placed on many Web sites. \n", "\n", "3. On-line stores show ads in many contexts. \n", "\n", "4. Search ads are placed among the results of a search query.\n", "\n", "#### 8.1.2 Direct Placement of Ads\n", "Which ones: \n", "\n", "1. in response to query terms. \n", "\n", "2. ask the advertiser to specify parameters of the ad, and queryers can use the same menus of terms in their queries.\n", "\n", "\n", "How to rank: \n", "\n", "1. \"most-recent first\" \n", " Abuse: post small variations of ads at frequent intervals. $\\to$ Against: filter out similar ads. \n", " \n", "2. try to measure the attractiveness of an ad. \n", " several factors that must be considered in evaluating ads: \n", " \n", " + The position of the ad in a list has great influence on whether or not it is clicked. \n", " \n", " + The ad may have attractiveness that depends on the query terms.\n", " \n", " + All ads deserve the opportunity to be shown until their click probability can be approximated closely.\n", " \n", " \n", "#### 8.1.3 Issues for Display Ads\n", "It's possible to use information about the user to determine which ad they should be shown. $\\to$ privacy issues." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# exerices for section 8.1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.2 On-Line Algorithms\n", "#### 8.2.1 On-Line and Off-Line Algorithms\n", "Off-Line: The algorithm can access all the data in any order, and produces its answer at the end.\n", "\n", "On-Line: The algorithm must decide about each stream element knowing nothing at all of the future.\n", "\n", "Since we don't know the future, an on-line algorithm cannot always do as well as an off-line algorithm.\n", "\n", "\n", "#### 8.2.2 Greedy Algorithms\n", "Greedy: make their decision in response to each input element by maximizing some function of the input element and the past.\n", "\n", "might be not optimal.\n", "\n", "\n", "#### 8.2.3 The Competitive Ratio\n", "an on-line algorithm need not give as good a result as the best off-line algorithm for the same problem: \n", "particular on-line algorithm >= $C \\times$ the optimum off-line algorithm, where $C \\in (0,1)$ and is called the competitive ratio for the on-line algorithm.\n", "\n", "The competitive ratio for an algorithm may depend on what kind of data is allowd to be input to the algorithm." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# exerices for section 8.2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.3 The Matching Problem\n", "bipartite graphs: \n", "graphs with two sets of nodes - left and right - with all edges connecting a node in the left set node to a node in the right set." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mYWGBzs5OGhsbqa6uPpBu7dOoregXFxezev8dWtGLxWKEQiFycnKyIoixFarw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\nLEaWoXO9LGYkKlqai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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,8))\n", "plt.imshow(plt.imread('./res/fig8_1.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.3.1 Matches and Perfect Matches\n", "matching: a *matching* is a subset of the edges such that no node is an end of two or more edges.\n", "\n", "perfect matching: a matching is said to be *perfect* if every node appears in the matching.\n", "\n", "maximal matching: a matching that is as large as any other matching for the graph in question is said to be *maximal*." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8cOFCysrKhNt6nLl27Rpz5swBhrL2Dxw4MCyRKyYmhl27drF27dqQt2cdb5xO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\n3tw2HGWEgdEsmqbhejbL7ruD5qoo0fJqI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "plt.imshow(plt.imread('./res/fig8_2.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.3.2 The Greedy Algorithm for Maximal Matching\n", "Off-line algorithm for finding a maximal matching: $O(n^2)$ for an $n$-node graph.\n", "\n", "On-line greedy algorithm: \n", "We consider the edges in whatever order they are given. \n", "When we consider $(x,y)$, add this edge to the matching if neither $x$ nor $y$ are ends of any edge selected for the matching so far. Otherwise, skip $(x,y)$." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[('1', 'a'), ('1', 'c'), ('2', 'b'), ('3', 'b'), ('3', 'd'), ('4', 'a')]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bipartite_graph = [('1', 'a'), ('1', 'c'), ('2', 'b'), ('3', 'b'), ('3', 'd'), ('4', 'a')]\n", "bipartite_graph" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "connections: \n", "[('1', 'c'), ('4', 'a'), ('3', 'd'), ('3', 'b'), ('1', 'a'), ('2', 'b')]\n" ] }, { "data": { "text/plain": [ "array([['1', 'a'],\n", " ['2', 'b'],\n", " ['3', 'd']], \n", " dtype='= 1/2\n", "The competitive ration is no more than 1/2. \n", "\n", "Proof: \n", "\n", "Suppose $M$ is bipartitle graph, $M_o$ is a maximal matching, and $M_g$ is the matching of the greedy algorithm.\n", "\n", "Let $L = \\{M_o.l - M_g.l\\}$, and $R = \\{r \\ | (l,r) \\in M; l \\in L\\}$\n", "\n", "1. Lemma (0): $R \\subset M_g.r$ \n", "\n", " Suppose $\\forall r \\in R, r\\notin M_g.r$, \n", " becase $\\exists l \\in L, (l,r) \\in M$, so $(l,r) \\in M_g$. $\\implies$ conradiction. \n", " \n", "2. Lemma (1): $|M_o| \\leq |M_g| + |L|$\n", "\n", " $|M_o| = |M_o.l| = |M_o.l \\cap M_g.l| + |L| \\leq |M_g| + |L|$\n", " \n", "3. Lemma (2): $|L| \\leq |R|$\n", "\n", " according to the definition of $R$, one-vs-many might exist.\n", " \n", "4. Lemma (3): $|R| \\leq |M_g|$\n", "\n", " according to Lemma (0).\n", " \n", "Combine Lemma (2) and Lemma (3), we get $|L| \\leq |M_g|$. And together with Lemma (1), gives us $|M_o| \\leq 2|M_g|$, namely,$$|M_g| \\geq \\frac{1}{2}|M_o|$$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exercises for Section 8.3\n", "##### 8.3.1\n", "1. $j$ and $k$ cannot be the same for any $i$.\n", "\n", "2. The number of node in $a$ linked to $b_j$ is no more than 2.\n", "\n", " Proof: \n", " because $i = 0, 1, \\dotsc, n-1$, \n", " so $j \\in [0, 2, \\dotsc, 2n-2] \\text{ mod } n$. \n", " \n", " hence $j$ is no more than $2n = 2*n$, namely, there are only two node in $a$ can link to any $b_j$.\n", " \n", "3. The number of node in $a$ linked to $b_k$ is no more than 2.\n", " Proof is similar with (2).\n", " \n", "In all, there are only two node in $a$ can link to any node in $b$. So assign $b$ to $a$ one by one, the peferct matching always exists. \n", "\n", "##### 8.3.2\n", "Because any node in $b$ has only two links, and also any node in $a$ has only two links. And for any $j$, there has one $k$ paired. Namely, two node of $a$ is full linked to two node of $b$.\n", "\n", "num: $n$.\n", "\n", "##### 8.3.3\n", "(1) depend on the order of edges." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "4 320\n", "3 320\n", "2 80\n", "dtype: int64" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#(2)\n", "from itertools import permutations\n", "\n", "stat = []\n", "for connections in permutations(bipartite_graph, len(bipartite_graph)):\n", " stat.append(greedy_maximal_matching(connections).shape[0])\n", " \n", "pd.Series(stat).value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.4 The Adwords Problem\n", "#### 8.4.1 History of Search Advertsing\n", "1. Google would show only a limited number of ads with each query.\n", "\n", "2. Users of the Adwords system specified a budge.\n", "\n", "3. Google did not simply order ads by the amount of the bid, but by the amount they expected to receive for display of each ad." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.2 Definition of the Adwords Problem\n", "Given:\n", "\n", "1. A set of bids by advertisers for search queries.\n", "\n", "2. A click-through rate for each advertiser-query pair.\n", "\n", "3. A budge for each advertiser.\n", "\n", "4. A limit on the nuber of ads to be displayed with each search query.\n", "\n", "Respond to each search query with a set of advertisers such that:\n", "\n", "1. The size of the set is no larger than the limit on the number of ads per query.\n", "\n", "2. Each advertiser has bid on the search query.\n", "\n", "3. Each advertiser has enough budget left to pay for the ad if it is clicked upon.\n", "\n", "The **revenue** of a selection of ads is the total value of the ads selected, where the **value** of an ad is the product of the bid and the click-through rate for the ad and query." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.3 The Greedy Approach to the Adwords Problem\n", "Make some simplifications:\n", "\n", "+ There is one ad shown for each query.\n", "\n", "+ All advertisers have the same budget.\n", "\n", "+ All click-through rates are the same.\n", "\n", "+ All bids are either 0 or 1.\n", "\n", "The greddy algorithm picks, for each search query, any advertiser who has bid 1 for that query.\n", "\n", "competitive ratio for this algorithm is 1/2. It's similar with 8.3.3." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.4 The Balance Algorithm\n", "The Balance algorithm assigns a query to the advertiser who bids on the query and has the largest remaining budget." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.5 A Lower Bound on Competitive Ratio for Balance\n", "With only two advertisers, $3/4$ is exactly the competitive ratio.\n", "\n", "Let two advertisers $A_1$ and $A_2$ have a same budget of $B$. We assume:\n", "\n", "1. each query is assigned to an advertiser by the optimum algorithm. \n", " if not, we can delete those queries without affecting the revenue of the optimum algorithm and possibly reducing the revenue of Balance.\n", " \n", "2. both advertisers' budgets are consumed by the optimum algorithm. \n", " If not, we can reduce the budgets, and again argue that the revenue of the optimum algorithm is not reduced while that of Balance can only shrink." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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e0np91OvT6bZBxeO2EtExdTQfUvNAWHF3SKcOHlPL8Q71dHRrcCSihG1kTFjt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pOHnmfScOJwOxntbOLo841IriruuPsmqouyUOdH6Dx1gYmxJEZ8FlVwUlyeT6j3HCfOtBAXPVRU\nVlEQyMJpt2KxWLBYLCiy/Kr6h68Vb6rB9YXPf5FoQS0luQ76WpoZX9ApXb6CgEO5UrFw/xl+/swZ\n3MEi4sOdSBVbyI2c54kfNOMpcOO0yETnQ4wMdHLw6XritnyWrSzFZXNRmi1z5sA+emfnaDrSycr7\ntpNcCDE1NcnodJSBS/1YnDaiAx0IWUWUlxbjUCSc+SvYVpvNsZde4FzPOJN9rZiVD/Lh+9fhuUHE\nVCRYs4k86RzPPXOA8UiS7qYjnOmJcs+H/pxdNUFkEbT5GRJ2Pyu2bqAy30/BitUEpXlefL6XuDbN\nySdeRK3cxfs/9RdsLfcjYjAbiuPOq2Lj6mWLLGiXoTE33MqT3/oJAwkL5UE34cFOZnATkOc5dPQc\nsjsXdaKXVLCA9p8/yZirgkL/PFMTDlZuqsbn8WNTw7S3NXOx6yw9iRyW5/uwRKbpvDDLql0rGO0a\nJDLeS8foBH0dXYg5a3n7u7aRE8giaFMZbT9P/ak2Sm65nZ0ry1ho/Anf39dHcUkpw/39hJwlbKzK\nwWpz4rVZmO3r5GLfJepPN7PsvvvY4I9wvqWPbe99hI2VOWTl+ejpOMm59hl8RdvYvTWHzsP7OdE6\nR5ZXYGxSYtmGDdzywG6y5vbz7LP1XOq5RP+sxIMfeJQ/2lGDOdfPoYNHmIhakeNzpDx5uGbO8/SJ\nPkqrypjuvYi1dC3V+d40BywDQbRSWFdNkXeSxhNHabpwgdPN/ay5/1H+9uHd+BWNrhO/YH/TND63\nm4nBabDnUFmZi22RqFTJFSSgDXP+5Fn6p+KsvWMX9tkejpzqQMi2Ep9O4fEq9Jw8QbfiIFefpr1P\nZvPuzWy7dTXC1HnqTzdwsXeIpL2Ie+67n5rcdCqgayHjL8xitreN5nMdDI4PYhbvZEOhwuAoVC1b\nTa4LIoNdXBybYqznHKfaHXzwr95JdUCnu2OA2bE+Lg0P09M5hKdiHXfcVU3ficPUX4qQ5TYZm5Ip\nzgux70dNWLPteJ021EiY0ZE+zh6qp2cESoslmk6fYTZpRYjMoHrzcc2c4+kT/eSXFDAz1E3SYqP9\nxFli2V4syTjoMvODbbTNRsmSE4xMChTnaPzyqUNohSU4oxNMKiXs3r6W1esLCPWdoelCK81tvWTV\nbueeW3bhDl3g58+exRUoIjnahZlbgdl3lOMdc7hdNhbCcXJq1rKiwMF8XytnTrXgW7uJ7RuWoYT7\nGQ6H6WpuY2puhJbWYcrvehc3ryvFcX2fCgL2nCrW1+RRf/glTp7vpON0E6pvNx/85IepdYVpPL6P\njjENGzoDfRGCxaUU5fvSqaquXEbA6vBTuaoKdbaFcw3n6bg4xsTAKAsLKWq2b2ftijKcNicl2Qqn\nD+yjb2qajvODVN68Fi02z+RsFG/1Vm7fshp1pp+TjR0MdpymQ1vJo++9k1VFBvt+8DidKRt+LcTM\n1ATZ5XXkZ1npbz7D0ZPdmJJINCoQLC6lZvU6NtUV0tVcT31LLyN9bcQDO3j7LWtwm9P0D40yNNjH\nxdZWQt5Ktt96E7VFWdfUK1M7LHYnVpdIf08TzZci5JatZ8PaWlZsXEGRa4yGY4dpbmmhoW2Y1bc/\nzMceuInirMVSwUi4sn2Y0QlaGzsZvHiSC+YK7tqxnNj4KAnbcvbetJm1K2rx6/M0tbTQ3tHB4OQ4\nusWNR08wOmljxcoqcvwOJElCstlRNIltN22nqiCdykUQLRQsq6YoGKf93Em6+no5caaTTW/7ILtq\n3Zx8+iWGNAVbZJJwLE5uWTUBnwtZlPAEgyQSYzSdP0nrSCG33rGDIs8CL/3sOQajVhyySUqX8Hp1\nJienGB3up6P5AtG81dx8+04q8nOo27kBn9nL2ZOnuNg3wEgIbrrrQVb4U1yoP0rvlIaWiNE9Z1Jc\nXEJhwE1quofBmTl6LvUwOtrHpf4Zinbezvb1Nfjs1/KhIkON/OrFekxbNsyPozsdXDrZwLRiw6Go\nqBFIzY/QPjQKskZoSiWroJjioqy0DuTVvSvJ2O02xLkBms80EbH6WLuljpm2czQMhPBkm0z2J8kv\ntHFh/yEGrXZcWoRw3EXNqhWsXFaLNTXH2aZWLrWfpzuczW133s7W5YU33kuQcAdyKS93MNd3mrOn\nG2i40IW9dAMffvh+NlTlYRFNxjpPcqKpl7EFC+GZUdr6x5Eq13Hfe+5nY10hdlnE7vEgW1Jc7DhL\nY5dG2bIdrMpb4PSJ04wtCNhlsHgCFBUV4ra+8dIQgvlm5ML5HWAaGqe+/W7+8fzdfPuf/4hCT5p4\nmZjr5Xtf+jK97g189MPvoTbHjigIqNEIUVVFsrpxWkVSiQSyYkVWfnNjmmaKaCSZIenbfqN1m5yf\nZnxqlpToJK8wH5f1N0c0RGYnmJibB8lNXn4ujtdQ5vcDnWQ8QSKpYXU4sIomcdVEUSzIgkpclbBa\nIB6NYEoWHPZrI+RSiTgpzcTusN3AbVgMhq6SiMXRRCsOuwXJ1FB1EYsl0y+mgaYlSaomis2O8ipv\nF+ljwhgp3USxOrHIb1x+PC2VIJFSERU7NiWjhvxbwDQMEvEYpqhgs1leV34x09BJJRKopoDFZv8N\nCdzTatyJWBwNEYfDjmCkeQuSBKpmIkoiWqa97E4nFlHA1DUSuogiGcTjcUTZgs1mvTEKEuh+8mO8\n+7FyvvNvH2NZgQdFhFR0ipd+/n2ea4rwzk/+GTurgr+3fGSQVrVPJhIYooLVaklTEF7H7dRkgpSq\nY7HZkCURLZFAsFqRtDgLcQ3J6sRhlV9DdLBKNJzARMbhtP3W48PQNVKJBDoC8xdf4l+/9AsKbn8P\n731wD7muNJ9LjYWJazqS1YVdEdBSKSTZklb2FwB0EvEkqgp2hxXp6jykrxOmqRGPxTFMGbvdmubQ\naBqCJKCqKVK6iNVqxbKIFty1F9JRU0lShohisaCILwsDa6k48aSGpNixvaa2Nkgl4iRTOha7A0WW\n0FUdUb5KDR4DNZUkmTJQLFYEQ8MAZNmCdJWIp2kY6CkdwSItul7pqQTxpHolmfFr6lYjRSyeAsWK\nTVFuKGNo6aN0QTRJpVKohoTNZsvki73c7iZaMk5SM5GtNiyy9Kr31uJxsFgQjCSxhI4gW7FbLdzw\nLvZ7gq6pJJMpRFnBoiivc/wbpJJJUikDi8WK8kpizleX0FSSqRQGMhargpzJMmPoCc789Mt8/el+\ntr3nU7x7bzWyKGC1WlCu512bOslkAs2UsFitv1M+ydeLPwjS/OuDgDu3iqzkEOfPtqLVFWIXVMYH\nuphWneTm5eK8yjJVnC58V5W2ORyv/U6CBZfb8pu/mIHVG6DUG3jN3wdwZeXiysp9XWV+P5Cw2p1Y\n7S9/4rgyOixc1oFzub3XF0x/w2bntbcUiJKCw321CKSC5WobWBCRFTuycn3JGyEI6bfp13P/1wrZ\nYsNlsf3O1xFEEbvT9Zu/uGjZdKSd9bV9G0GUsbvcL38kvkzWtGYaSXG6sF9dSlawywASbverN7o9\nWEWZPEnzmQtY15fjtQmExvsZmlbx5xbhd1reMIP3lSBK8m/dngCK1YZyVYMq9kxrWJx4X9dAUnD+\nhvZ6LRAlGZvTQXRuisGeIRbCC8hDfQxPrsVny8EmC1ic7mvGuGS3X3cVCZvdge36j38LCIKMw+m+\n5jNRSk9QSbbwmmeEIKFYHSzWQrLFzutYXgERi83J1dNRtFy/hYkoFjvKlesuvsUJoohse2WrRPpt\n5r1oweF85QqJsnxlHtplK4t1kyAIKLbF22sxyJfHgOTgDRiGrxuSrOB4LYv0ohCxWO1YXtvCli4h\nK9ivv5+RYHZ8iJ6hacILc0wO9RGKl1IY9LJolh5Bwmp7revpG4u3nsEliJRveYT7Lv6K1sZmzOQU\ndkFlpHcAuXgNO3dsINf9SsdvS1jCEn5X5Kx9mA/s+Aln21uxiAv47QIzI8PMCUE23bKXiqDrBs2p\nJbwWmMTmpxmb1SiqrcI04kzPhFELg9jeeiv1EpbwnwMjQWhiiFnDS+UKCbswx+RcmLzAKxhcbyLe\nckeKaZhoapyp0VHGp2dRDQlvdi4FeTm47EvG1hKW8PtHiunRccYmJ4mlTJyebPIL8tKCi0vG1m8J\nk0QsQiQSRUdE10wcXg8uh+3lqO0lLGEJ18JIEY1EiUUTmJKIIci4XG6cdssf3Jx5ixpcS1jCEpaw\nhCUsYQlvHSw5qt8EXG3jvpo37tVt4ddPDL98vbe0B/AaXZg3jhz/O+MP9bmWsIQlLGEJfxBYMrj+\nk2EaGol4kmRKxWJ3YrPK12rzZGDoacV0bbHsyoKIJCtYZBFRfG3hKHoqQSyZQtdM7G5POpLvd6/O\nfy5Mg1QyQTKVQhcs6aMWUfi9GpCmqafVxAUxo0C/+HOpaopkIokhyNjslyOP3nItvIQlLGEJS/g9\nYcng+k+GmQjR09ZOR/cInrod3LSqKE2IvW5z1uILDPf3MDA5TzKZwmJzYLdaEEUBTUtgSE6C+SWU\nFQWxXRVW/EqITPZxtqWNyWmNNXfcT13QsWgKhT9omAnG+ztp6bxESCjhtpvXEvS8ASFZr3xD4jOD\nDIyHySqqIOBxIl1WUjdBumzsmipzE320NHcwYwbZsGE1pXkeJOH1pclYwhKWsIQl/P8XSwbXfzIM\nLcH0SBvP/OxpYjs9rK3Oxea6MZTYUJOEJoc49sJBGhovUbp5NxtXVuG2SESm2jnfeIkR+3r+5KPv\nZVddEMtvsLj0aIjuM7/ipwcG+dCKm6nJtiO95Swug8jsKMeeeZLTM+tZtqqWbI+dN16e7jJ0+k7+\njG8+foptH/0fvG3rCpyCgJ4MMTGvkBtwZsRHTWLhGRqO7eNIVxaKO5eCoAtJ/P092RKWsIQlLOGt\nhTc1l+L/jZCcQdbt2kqOqDEfimEY5g3eLQCLO4va9TvYXpWFMLNAXtkydt58M7t37+bO+x/hXbcu\no+/AT/jKd/Yxm9BeJd9VGp6Sldxzy2ampsaIqIvnPvuDh2CnbOUWNhZaSUbDix+3vsEwjHReMIPL\niXUNIqNNPF8/QDypZ57LQl7ZSjZV5WFNhdL5937vT7aEJSxhCUt4K+FN9XBpqoqBgCyJ6Fo6kbUs\ny0iSiKlnks2KMkomt6Jg6unkm6aApMjpPPOZBLiCKCJJEqauYxg6piAhiaClUhhIyBYZSRAwMtcV\nJRlZll5d8dtMJzvWNZWUqiFIEorFgnRZmdhIJ/zUTRNZkjB1jZRmIMnXX9tMJ4vWNHRdwOn04lEs\nyFcl6L7e6BJlCy6fn6DPjkOxYHf68Gdlk2WREIQAWbfupfLv/p2+0/VMJN5Bjl0Gw0BTU6R0A0lW\nUDLKvwIg291kB7Ov8JCEK/Uz0FSVlKbfUMbQdXRDB1FBEnTUpIopyijKderMpomhp9tINwQUi5Lp\ns8uJjDVSKRWDdPspr3IEapompmGgJpOoJsiKBYuSaUtBwuHxEHBbrlGTN6/qJ90ASZEx9RTJpIZi\ntWFVlLRyvZokpRoIsoLNmslDmLmfbhiYmf4wDANRlJBEkao9H+Iza96FL5CPQwY9Gaa74QyXIrtJ\n6UZGOVrE5nCS5bFjt0gggJpKIeoikqIgSyLCNfcREQUTQ9cxTAFJlhAFEVNPJ6YVJAVZEtL8vEwf\nqal0v4qihCSJSFJ6nrzVfJRLWMISlvB/K95Ug+v0qZMkdA9VVW5G+gdImRZkh5eSwgCxqUlm5+dJ\n6AK5JTVUFgfRpy7S1D1JIiVQu2UrQTHG0MUWhuYMsgsqqKnKYaa/l4HBEYTccgptIbpHEtjVKJqz\niNrqIKGBLkYiBqIhk1NWSXlJEKu0OIHcxCQy2UNLRz8aErqm4y+spqK8ELdNJhka4VLvEONzMrXL\ncxnr7UaTrMQTAiW1y6nM96XzKCZjjA/30zcWAiRkc4Lp+cjrI/hkNmzDEECPM97VzjAi2fm1+Cwi\nhppgaqiLvqEpVF3DEOzkV9RSWhjAJqcJ3KZpcrXrxdASTA110zM4iarrGIKVvG3e7rkAABsCSURB\nVPJaygoD2GSVnqZWRmdnsJetId/s5+KIitXUcAbLqK4pxWWVEEyTRHiG7u5OhudS2CQTU7RSuXo9\nRR4byflxOjq6mIhpKBI4/YXUVpfjd1gXNbpMM07P6Wb6ExoiGobspqq2iqKgN5OCYRHfkakyOXCR\n7r5xDKsdzQAjOsvkTJTy1etYU11MaKCPSwNTCBaJZErHWVzFqsoCnKLO3FAnHQMhBMWOwwYz03P4\nisop9ctMjI8zORum0OrHKUS50HCY73/1aWZ2eWlogIKcQiqqC3FcPhXWU4RGemk4t4CSimBas6lb\nu4KAXWJ+pIP2/nlEq4fsLJGZqWkSqoAjK4+SHAdTQ+NEkzHimkhhxQoqC31Ips7UUDfdA9Noioip\nJUkpPiorqygNupcERpewhCUs4S2CN9Xg+vqX/h+aurJ528NrGB8bJttl0jUYpmrlBqSFGIotzkjH\nCbTSh/n7zz6Ctf1FvvnVJzjXG+a//ngfd/qmOPQfX+GxI9OsvP39/PVf3cOFI8/z4x/8iMnyHewq\nn2NQXU7tfAO/OiDywCdvItbeSsify2TjRZzr7uEzf/Ew1dn2RTd/Q0tw+mf/wj88McbDH7iTiZP7\nGTJqePgTn2TPhiIiw0089cMf8PMXo9z9zu0M9HezZm0pZ1/cj3fHZ/jXz74Nv5xioO0EP37sl7TM\nOFhR4WGy6zzH+oYo2vpaD57ijAz20NbqxyvDwtglnvnBd1goqOEjf3oXBTaZ+EQHv/jGFzg87mHP\npkJaj5xCqr6PR//kYZaX+JFvqJ9JbHqAp771BfYNOrhlexkdR05C2V18+E/ew6riBIef+BFPPv80\n2q4/5pZgC73R5fgGz9GVrONTX/hbdlf7ID5L44HH+eaTRzHL17IjOMo3v/Mct//D4/zdbYWceuLf\n+dqTLZTdtIWCeDvtIyb3fuDT3LN9+Y1JgYHkdDP/8vFPMHrHh7m7eI6Dpzoo3/kO/vS9d1HqtS+a\nVyw118p3v/TfaJrLorbCR/3+w0zFBYqKSrgjlcQWG+KF7z5Oq5rH3j2VXDz2EifiRXzizx/l3pos\nek7/kn/7/mHGF7xUVgXo62kiZ/MDfPDmEpoOPcOTL53jrv/2ff58s8yPfvosraEJ5o/9iv+3p5GV\n6+7kAx8PUmyR0wf0iV6OHPgpZ9qXUZboZP9LE7zzK1/nQ9vzGDj7a77yvSNMxPJYs6kAw4hihCcZ\nU32sra1kajhCXl6KlhMvYl3/Wf7ps2/HrU3w7Pe+Rv1CAbt2VjLReoyDEx7e9b5HKchaUnRfwhKW\nsIS3Ct5Ug+uLf/MubvvQNxicvJ9/+uLf4J3v4Hv/9jkeO9zJn/6Xz/LO22oYfvYf+PTnT9H9yH3c\ntvfP+LJb5vZPfB9VM/AXreR9f/0/Md3fokMHU8rirg9/HPtCO597rIH4nV/kSw9swy8NMHvTvfz8\nGSf/4yv/i1vKJA4/8T2+9Vwz7UN3UuG3IS5CIDf0GN2nO/AW/xH3vev9mBvK+MY/fYsj+8+xbnUB\nOavu4y/+TKbx4n/nxFmVb37/ayzPtXM+Z4G//sFhRj9xJ2K0k18+9h9cVJfx1//tI6wvyyI2cJy/\n/NTfM6qTdtj8RvmAME0Np7Cr0/gEjYGRISbDCq7VN1PqV9AwicxOMdodoXTjO3now7exvcLK5790\nlMbd26ko8uG8YWM2iYamGbk0T8maB3noQ3cwWWnnC186zvnWbVSVrucjX/gc7rlT/N2LL2H/7r/z\nta0FjDa/yBc+92PO9Uyyq9LJRPMB/v3HzxO46f18+pG7KZY6OPpCIyfP9TFaeIH//Y1fUfjJf+Mf\nH14Hk618/6tf5vCBA6xZVU21/8bEt4nxLpqdNt5xz908ssZOhfu7fO2FlzizeStF6xfvp7GTP+Wp\nUxG++Ph/sMUX4mlPlF92WfjoJz9DhXWCX3z1GzR7N/GZTz/C+iI/0rvv5Ad/8gD/68siy/71r1h7\n3yf4qGrwD9/ooHrVA9xx20YG1AClG29l16pc2nrHEAUTS/4mvvy/K/nex97N2e1/yz+9dyvZTgXT\nFBBQMSUwzRiuNffw2fffR40/hPzgw7zU0Md7tpey+t4/5ZOmyV/96xFsWQ/yZ5+4E+voCf75n/+V\n/fXZ/N3ff5zda4voemyGD3z+BfoevZVybZALLaNs+cQH2bWmEuuaEgLnBwn8AaooL2EJS1jCEl4Z\nb6rBZbEq2N0O9jxyGzl2GVF348ktYv22IjZvLsMmidgcbiRlnpimoZtgcTiu2WgsVhsurwvmVNLW\ni4yEiODfyb3rqnHbZEwhn+pKGx3L3su2Uh+yFMMqyxgJlYVoKlPuxu1LlBSq9uyhYtJGW/0RwpOD\nzKoiLn2BpGZiWk0URUYQRW7+0N2U+R2IAuRU1CFKjWCqjPV00nhuhqp3bqa2yIsoCriLS6l0uhgl\nQ6ZahMN1LXK49+2P8IF33kSWVUIwk/Sc/TX/9TN/z+cW5vni5/6SSn+Qur2b6ZfCNJw8ysxAhKgR\nI6om0HQTpBu9aXZfNrV7t9BFhHMnjzLbv0BEj19VRkEGxNz7eGh9IRZFweHMpjQgpD1NRozOc630\njWfxvmV15HhtCFoxH3jwQWbrVjNz4fOMobLTHqa18TySNkfc7iahJ4kmVEysN7S74i5n+4YVeGYu\ncvhIhNG+KaR4inAsSZoLd2M9ojMhTCOIJOoYgoDFm41KCtkTxDrXQu/kFHV3VlCU5U7ztiy57L5n\nK9/6/DO0jX6MWq8DRZEpXh5gy9s2savsDhQpnaw3OZzu35cfU0YUwC5JiEKa52YgIolgqmC6VrN3\nzWqKsxwIikxtvkxjZpYJgoCiyORUFrD5jo1kO62I2Vk4/Pns3bGBZZU5WEQBu9OLKHYQ1Qwkixe3\nS+DXP/4hY23LKAy4kLyFlGTZkZZCXpawhCUs4S2DN18WQgDpmqMlJ26bD7f16pB6a9qIulzgqr8N\n00DXNW4wmKwWlKuI3UZSJJgfyPCAXhtMPYnkzSOvv5dzp7qIJpKMTyepNhT0hIpmEa8wiiSLjHA9\nx8jUiEZiTMclKm3yyyR6QyfJomykV4QoXmWTiVYqNt/HH236Cv946BkOtr2HkmUCbpcTsbeNhjkr\n4Yl+QmEB0RBIRVPo8rW50U3TxBQFXC43Sk87DfMWIpNDhBZANEWS0RS6nIkCtFtRrmrfK//SU4Ri\nScKSgqzI6c+tOdz+4U+TSGpcaAddFRnv66IzZkcyUjg9RewoW0G2TeFG5pxJPAk1ZeUMtDbQH4+S\nGB4iYfqRTJVkSkWw3thu2RXVGOILnDp4DrlGpW0wSlnFaoq8FoTpFKbuxG1zYZHFK/exevMwBYn5\neBLDcAAKDosXv0NGVmTkVzFmTMAwTUwtSSgyTwQPhdk2REBEQlqkZleXFUQBSb6a8O7B73BhV8Sr\nStqQELG7c9hx+x7Upotcqt/PoVAS37LbyC+po8ZMT+AlT9cSlrCEJfzh4001uEwjvXWapsEV74WR\nDsA3MkH4pkk6Cs5Mb/6ibOGyXWNikopGCE/PYSilGVL4y2Uyv4KpY+omumFgmC9HtYkmiK9i9sTG\nzvPtr38bx/aP8WcffAf5qW6+N/dNpo0wXY3d6KV55CpG+lkMI30zE0xdxzQNDFPE4XARsIto0QQp\n1cApi2hqCs3QkUyDV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig8_3.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In fig 8.3, observe that Balance must exhaust the budget of at least one of the advertisers, say $A_2$.\n", "\n", "If the revenue of Balance is at least $3/4$th the revenue of the optimum algorithm, we need to show $y \\geq x$.\n", "\n", "There are two cases that the queries that are assigned to $A_1$ by the optimum algorithm are assigned to $A_1$ or $A_2$ by Balance:\n", "\n", "1. Suppose at least half of these queries are assigned by Balance to $A_1$. Then $y \\geq B/2$, so surely $y \\geq x$.\n", "\n", "2. Suppose more than half of these queries are assigned by Balance to $A_2$. \n", " Why dose Balance assgin them to $A_2$, instead of $A_1$ like the optimum algorithm? Because $A_2$ must have had at least as great a budget available as $A_1$. \n", " Since more than half of the $B$ queries that the optimum algorithm assigns to $A_1$ are assigned to $A_2$ by Balance, so the remaining budget of $A_2$ was less than $B/2$. \n", " Thus, the remaining budget of $A_1$ was laso less than $B/2$. We know that $x < B/2$. \n", " It follows that $y > x$, since $x + y = B$.\n", " \n", "We conclude that $y \\geq x$ in either case, so the competitve ratio of the Balance Algorithm is $3/4$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.6 The Balance Algorithm with Many Bidders\n", "The worst case for Balance is as follows:\n", "\n", "1. There are $N$ advertisers, $A_1, A_2, \\dotsc, A_N$.\n", "\n", "2. Each advertiser has a budge $B = N!$.\n", "\n", "3. There are $N$ queries $q_1, q_2, \\dotsc, q_N$.\n", "\n", "4. Advertiser $A_i$ bids on queries $q_1, q_2, \\dotsc, q_i$ and no other queries.\n", "\n", "5. The query sequence consists of $N$ rounds. The $i$th round consists of $B$ occurrences of query $q_i$ and nothing else.\n", "\n", "The optimum off-line algorithm assigns the $B$ queries $q_i$ in the $i$th round to $A_i$ for all $i$. Its total revenue is $NB$.\n", "\n", "However, for the Balance Algorithm, " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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+0pluOmJx0o6D4fShKt15mDf31lN65S3ce/1SJnva+Ie9nZRfW0FJyIWVzYK7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig8_4.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lower-numbered advertisers cannot bid at first, and the budgets of hte higher-numbered advertisers will be exhausted eventually. All advertisers will end at $j$ round where \n", "$$B(\\frac{1}{N} + \\frac{1}{N-1} + \\dotsb + \\frac{1}{N-j+1}) \\geq B$$\n", "Solving this equation for $j$, we get $$j = N(1 - \\frac{1}{e})$$\n", "Thus, the approxiamte revenue obtained by the Balance Algorithm is $BN(1 - \\frac{1}{e})$. Therefore, the competitive ration is $1 - \\frac{1}{e}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.7 The Generalized Balance Algorithm\n", "With arbitrary bids and budgets Balance fails to weight the sizes of the bids properly. In order to make Balance work in more general situations, we need to make two modifications:\n", "\n", "1. bias the choice of ad in favor of higher bids.\n", "\n", "2. use the fraction of the budgets remaining.\n", "\n", "We calculate $\\Phi_i = x_i (1 - e^{-f_i})$, where $x_i$ is the bid of $A_i$ for the query, and $f_i$ is the fraction fo the unspent budget of $A_i$. The algorithm assignes the query to $\\text{argmax} \\Phi_i$. \n", "\n", "The competitive ration is $1 - \\frac{1}{e}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.4.8 Final Observations About the Adwords Problem\n", "1. click-through rate. \n", " multiply the bid by the click-through rate when computing the $\\Phi_i$'s.\n", " \n", "2. historical frequency of queries. \n", " If $A_i$ has a budget sufficiently small, then we maintain $\\Phi_i$ as long as we can expect that there will be enough queries remaining in the month to give $A_i$ its full budget of ads. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exercises for Section 8.4\n", "`#maybe`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.5 Adwords Implementation\n", "#### 8.5.1 Matching Bids and Search Queries\n", "If a search query occurs having exactly that set of words in some order, then the bid is said to match the query, and it becomes a candidate for selection.\n", "\n", "Storing all sets of words representing a bid in lexicographic(alphabetic) order, and use it as the hash-key for the bid." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'email google product': ['David', 'Sun'], 'facebook product sns': ['Jim']}" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "class advertiser:\n", " def __init__(self, name, bids):\n", " self.name = name\n", " self.bids = bids\n", " def get_info(self):\n", " return self.name, self.bids\n", "\n", "advertisers = [\n", " advertiser('David', ['Google', 'email', 'product']),\n", " advertiser('Jim', ['SNS', 'Facebook', 'product']),\n", " advertiser('Sun', ['product', 'Google', 'email']),\n", "]\n", "\n", "bids_hash_table = dict()\n", "for ad in advertisers:\n", " v, k = ad.get_info()\n", " k = [x.lower() for x in k]\n", " k = ' '.join(sorted(k))\n", " if k not in bids_hash_table: \n", " bids_hash_table[k] = [v]\n", " else:\n", " bids_hash_table[k].append(v)\n", " \n", "bids_hash_table" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "email google product\n", "Found: ['David', 'Sun']\n", "\n", "facebook google product\n", "No bids\n", "\n" ] } ], "source": [ "queries = [\n", " ('EMAIL', 'google', 'Product'),\n", " ('google', 'facebook', 'Product')\n", "]\n", "\n", "def handle_query(query):\n", " q = [x.lower() for x in query]\n", " q = ' '.join(sorted(q))\n", " print(q)\n", " try:\n", " print('Found: {}'.format(bids_hash_table[q]))\n", " except KeyError:\n", " print('No bids') \n", " \n", "for query in queries: \n", " handle_query(query)\n", " print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.5.2 More Complex Matching Problems\n", "0. Hard: Matches adwords bids to emails. \n", " a bid on a set of words $S$ matches an email if all the words in $S$ appear anywhere in the email.\n", "\n", "1. Easy: Matching single words or consecutive sequences of words in a long article \n", " On-line news sites often push certain news or articles to users who subscribed by keywords or phrases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.5.3 A Matching Algorithm for Documents and Bids\n", "match many \"bids\" against many \"documents\".\n", "\n", "A *bid* is a (typically small) set of words. \n", "A *document* is a larger set of words, such as email, tweet, or news article. \n", "We assume there may be hundrends of documents per second arriving, and there are many bids, perhaps on the order of a hundred million or a billion.\n", "\n", "###### representing a bid by its words listed in some order\n", "1. status: It is an integer indicating how many of the first words on the list have been matched by the current document.\n", "\n", "2. ordering words rarest-first. \n", " + We might identify the $n$ most common words are sorted by frequency, and they occupy the end of the list, with the most frequent words at the very end. \n", " + All words not among the $n$ most frequent can be assumed equally infrequent and ordered lexicographically. " ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "brilling slithy toves twas and the\n" ] } ], "source": [ "n_common_words = {'the': 0.9, 'and': 0.8, 'twas': 0.3}\n", "\n", "def construct_document(doc):\n", " doc = doc.replace(',','').lower().split(' ')\n", " com = set(doc).intersection(set(n_common_words.keys()))\n", " diff = set(doc).difference(set(n_common_words.keys()))\n", " \n", " freq = [n_common_words[x] for x in com]\n", " \n", " freq_sec = [x for (y,x) in sorted(zip(freq, com))]\n", " rare_sec = sorted(diff)\n", " sec = ' '.join(rare_sec + freq_sec)\n", " print(sec)\n", " \n", "doc = 'Twas brilling, and the slithy toves'\n", "construct_document(doc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bids are stored in a hash-table, whose hash key is the first word of the bid, in the order explained above.\n", "\n", "There is another hash table, whose job is to contain copies of those bids that have been partially matched. If the status is $i$, then the hash-key for this hash table is the $(i + 1)$st word.\n", "\n", "To process a document:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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abLhSE/ROBFA/VaFDlaHGt/igNYRvTT1bt+/m4Uf3UqRPc+xoE81trXxwqoXJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig8_5.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "按序依次取词,将哈希命中的标单,用其下一词再构建哈希表用于检索,直到全部词命中后剩下的标单,即为候选。\n", "\n", "具体步骤见书中。" ] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }