diff --git a/examples/zipf.ipynb b/examples/zipf.ipynb index a460abc7..ae87f5ed 100644 --- a/examples/zipf.ipynb +++ b/examples/zipf.ipynb @@ -242,7 +242,11 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The most common words are what you would expect, with the exception of \"n't\", which is there because the COCA corpus treats it as a separate word." + "The most common words are what you would expect, with the exception of \"n't\", which is there because the COCA corpus treats it as a separate word.\n", + "\n", + "Of the 50 most common words, all of them have one syllable except number 38.\n", + "Before you look at the list, can you guess the most common two-syllable word?\n", + "Here's a theory about [why common words are short](https://news.mit.edu/2011/words-count-0210)." ] }, { @@ -251,37 +255,65 @@ "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "[('the', 461991),\n", - " ('to', 237929),\n", - " ('and', 231459),\n", - " ('of', 217363),\n", - " ('a', 203302),\n", - " ('in', 153323),\n", - " ('i', 137931),\n", - " ('that', 123818),\n", - " ('you', 109635),\n", - " ('it', 103712),\n", - " ('is', 93996),\n", - " ('for', 78755),\n", - " ('on', 64869),\n", - " ('was', 64388),\n", - " ('with', 59724),\n", - " ('he', 57684),\n", - " ('this', 51879),\n", - " ('as', 51202),\n", - " (\"n't\", 49291),\n", - " ('we', 47694)]" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "1\tthe\t461991\n", + "2\tto\t237929\n", + "3\tand\t231459\n", + "4\tof\t217363\n", + "5\ta\t203302\n", + "6\tin\t153323\n", + "7\ti\t137931\n", + "8\tthat\t123818\n", + "9\tyou\t109635\n", + "10\tit\t103712\n", + "11\tis\t93996\n", + "12\tfor\t78755\n", + "13\ton\t64869\n", + "14\twas\t64388\n", + "15\twith\t59724\n", + "16\the\t57684\n", + "17\tthis\t51879\n", + "18\tas\t51202\n", + "19\tn't\t49291\n", + "20\twe\t47694\n", + "21\tare\t47192\n", + "22\thave\t46963\n", + "23\tbe\t46563\n", + "24\tnot\t43872\n", + "25\tbut\t42434\n", + "26\tthey\t42411\n", + "27\tat\t42017\n", + "28\tdo\t41568\n", + "29\twhat\t35637\n", + "30\tfrom\t34557\n", + "31\this\t33578\n", + "32\tby\t32583\n", + "33\tor\t32146\n", + "34\tshe\t29945\n", + "35\tall\t29391\n", + "36\tmy\t29390\n", + "37\tan\t28580\n", + "38\tabout\t27804\n", + "39\tthere\t27291\n", + "40\tso\t27081\n", + "41\ther\t26363\n", + "42\tone\t26022\n", + "43\thad\t25656\n", + "44\tif\t25373\n", + "45\tyour\t24641\n", + "46\tme\t24551\n", + "47\twho\t23500\n", + "48\tcan\t23311\n", + "49\ttheir\t23221\n", + "50\tout\t22902\n" + ] } ], "source": [ - "counter.most_common(20)" + "for i, (word, freq) in enumerate(counter.most_common(50)):\n", + " print(f'{i+1}\\t{word}\\t{freq}')" ] }, { @@ -327,29 +359,28 @@ { "data": { "text/plain": [ - "array(['xcor', 'metress', 'commonspace', 'attilan', 'nutritus',\n", - " 'under-estimated', 'danci', 'thoughness', 'gmulder', 'multigrade',\n", - " 'tazzarine', 'well-remembered', 'snapchat', 'yt',\n", - " \"everything'sback\", 'moonclown', 'maschek', 'infront', 'meowing',\n", - " 'unhorses', 'waitressed', 'getbuckyballs.com', 'eye-rolling',\n", - " 'right.follow', 'al-maliki', 'where-it', 'candelabras',\n", - " 'trillion-dollar', 'poltically', 'way-stone', 'end-of-empire',\n", - " 'antiforgiveness', 'noncommunicative', 'astronomical-sized',\n", - " 'ms-like', 'colicky', 'mightly', 'lynsey', 'fifield',\n", - " 'consummately', 'oursega', 'steplewski', 'businessleaders',\n", - " 'pacifies', 'post-linsanity', 'high-born', 'okay.bye', 'mini-camp',\n", - " 'than-expected', 'x-lab', 'www.visitturin2006.com',\n", - " 'decreasing-there', 'kleiner', 'cosher', 'drm', 'castleman',\n", - " 'treelet', 'ostapowicz', 'gerrymander', 'kibitzing', 'resequenced',\n", - " 'goat-man', 'drenaje', 'tionist', 'betrothed', 'cannondale.com',\n", - " 'praddock', 'napoleanic', 'tiltfilter', 'gowe', 'marchev', 'fugly',\n", - " 'mouthit', 'blumberg', 'langone', 'self-superiority', 'etsu',\n", - " 'friesian', 'blixt', 'couzens', 'firestorms', 'headachy',\n", - " 'bisected', 'reel-to-reel', 'obscurant', 'with.the', 'yelp.com',\n", - " 'frostily', 'hemsehus', 'pa-lin', 'sun-blocking', 'baerga',\n", - " 'rightinfrontofyou', 'guangxi', 'jeiky', 'babbacombe',\n", - " 'deborahlchamberlain', 'counterbalancing', 'baupoint', 'gowned'],\n", - " dtype='" ] @@ -710,7 +741,8 @@ } ], "source": [ - "surv.plot(marker=\".\", ms=1, lw=0.2, label=\"data\")\n", + "options = dict(marker=\".\", ms=2, lw=0.5, label=\"data\")\n", + "surv.plot(**options)\n", "decorate(xlabel=\"Inverse rate (log10 words per appearance)\", ylabel=\"Tail probability\")" ] }, @@ -730,7 +762,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -740,7 +772,7 @@ } ], "source": [ - "surv.plot(marker=\".\", ms=1, lw=0.2, label=\"data\")\n", + "surv.plot(**options)\n", "decorate(xlabel=\"Inverse rate (words per appearance)\", yscale=\"log\")" ] }, @@ -776,6 +808,10 @@ "\n", "\n", "def truncated_t_sf(qs, df, mu, sigma):\n", + " \"\"\"Makes Surv object for a t distribution.\n", + " \n", + " Truncated on the left, assuming all values are greater than min(qs)\n", + " \"\"\"\n", " ps = t_dist.sf(qs, df, mu, sigma)\n", " surv_model = Surv(ps / ps[0], qs)\n", " return surv_model" @@ -800,7 +836,7 @@ "def fit_truncated_t(df, surv):\n", " \"\"\"Given df, find the best values of mu and sigma.\"\"\"\n", " low, high = surv.qs.min(), surv.qs.max()\n", - " qs_model = np.linspace(low, high, 1000)\n", + " qs_model = np.linspace(low, high, 2000)\n", " ps = np.linspace(0.1, 0.8, 20)\n", " qs = surv.inverse(ps)\n", "\n", @@ -848,7 +884,7 @@ "\n", " def error_func_tail(params):\n", " (df,) = params\n", - " print(df)\n", + " # print(df)\n", " mu, sigma = fit_truncated_t(df, surv)\n", " surv_model = truncated_t_sf(qs_model, df, mu, sigma)\n", "\n", @@ -866,52 +902,10 @@ "execution_count": 32, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "25.0\n", - "382.58404523885497\n", - "618.4159547611448\n", - "236.8319095222899\n", - "146.75213571656514\n", - "91.07977380572478\n", - "56.67236191084039\n", - "35.407411894884405\n", - "22.26495001595599\n", - "14.142461878928419\n", - "25.697947062229677\n", - "20.707337220921392\n", - "22.572143210805486\n", - "22.390897998699558\n", - "22.387674578312218\n", - "22.38696883830132\n", - "22.386635466210475\n", - "22.38630209411468\n", - "19.77327093242095\n", - "382.58404523885497\n", - "618.4159547611448\n", - "236.8319095222899\n", - "146.75213571656516\n", - "91.0797738057248\n", - "56.672361910840394\n", - "35.40741189488441\n", - "22.264950015955993\n", - "14.142461878928424\n", - "25.697947054112568\n", - "20.7073371943388\n", - "22.572143293741753\n", - "22.390897870539447\n", - "22.38767398796015\n", - "22.386983906149368\n", - "22.386650572810865\n", - "22.38731723948787\n" - ] - }, { "data": { "text/plain": [ - "array([22.38698391])" + "array([22.52401171])" ] }, "execution_count": 32, @@ -932,7 +926,7 @@ { "data": { "text/plain": [ - "(array([22.38698391]), 6.430702047528606, 0.490849531484811)" + "(array([22.52401171]), 6.433323515095857, 0.49070837962997577)" ] }, "execution_count": 33, @@ -970,7 +964,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -981,7 +975,7 @@ ], "source": [ "surv_model.plot(color=\"gray\", alpha=0.4, label=\"model\")\n", - "surv.plot(marker=\".\", ms=1, lw=0.2, label=\"data\")\n", + "surv.plot(**options)\n", "decorate(xlabel=\"Inverse rate (log10 words per appearance)\", ylabel=\"Tail probability\")" ] }, @@ -1001,7 +995,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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" ] @@ -1012,7 +1006,7 @@ ], "source": [ "surv_model.plot(color=\"gray\", alpha=0.4, label=\"model\")\n", - "surv.plot(marker=\".\", ms=1, lw=0.2, label=\"data\")\n", + "surv.plot(**options)\n", "decorate(\n", " xlabel=\"Inverse rate (log10 words per appearance)\",\n", " ylabel=\"Tail probability\",\n", @@ -1046,7 +1040,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1146,7 +1140,7 @@ { "data": { "text/plain": [ - "1.3581072166387401e-11" + "1.368245917258196e-11" ] }, "execution_count": 41, @@ -1173,7 +1167,7 @@ "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -1231,7 +1225,7 @@ { "data": { "text/plain": [ - "(0.00016009921991573168, 6246.1266240169725)" + "(0.00016019406802217392, 6242.42840166579)" ] }, "execution_count": 44,