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@mcfrank
Created January 12, 2017 22:09
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{
"metadata": {
"name": "conpact-1"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Introduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The 'conpact' model implements a simple Bayesian pragmatic model of\n",
"discourse. For full details see the comments at the top of\n",
"conpact.py. But basically we imagine a scenario where there is a space\n",
"of objects, and a space of adjectives, and a speaker repeatedly\n",
"produces 1 or more adjectives in order to let a listener pick out a\n",
"unique object. The history of past utterances and corresponding\n",
"objects is common knowledge, as is the Dirichlet prior on the lexicon.\n",
"$S_0$ (the \"literal speaker\") is DM-wurwur, $L_1$ (the \"literal\n",
"listener\", and note that we use the convention that speakers are even,\n",
"listeners are odd) learns according to DM-wurwur. Higher order\n",
"speakers select utterances using soft-max with a cost-per-word.\n",
"\n",
"Exact inference by enumeration is surprisingly cheap, because we can\n",
"use some tricks to collapse together utterances which are identical\n",
"modulo ordering; e.g., with 10 adjectives, 10 objects, and utterances\n",
"of up to length 5, there are only 30,030 entries in the distribution\n",
"matrices.\n",
"\n",
"To explore some basic phenomena, let's first define a function that\n",
"simulates several runs of a naming experiment, and plots some key\n",
"statistics:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import pandas\n",
"from conpact import *\n",
"from matplotlib.pyplot import *\n",
"\n",
"def run_and_plot(model, lexicon_prior, run_length=100, s_depth=4, samples=3, S0_length_prior=None):\n",
" for i in xrange(samples):\n",
" objects = sample_objects(i, model, run_length)\n",
" trace = sample_naming_task(i, model, lexicon_prior, objects, s_depth,\n",
" S0_length_prior=S0_length_prior,\n",
" trace_funcs=[trace_P_correct,\n",
" trace_utt_len_dist])\n",
" history, P_correct, utt_len_dist = trace\n",
" figure(figsize=(15, 6))\n",
" subplot(2, 2, 1)\n",
" plot(P_correct)\n",
" ylim(-0.05, 1.05)\n",
" xlabel(\"iteration\")\n",
" ylabel(\"P(L%s understands S%s)\" % (s_depth + 1, s_depth))\n",
" subplot(2, 2, 2)\n",
" utt_lens = utt_len_dist[0].index\n",
" utt_len_dist_stacked = np.row_stack(utt_len_dist)\n",
" for i in xrange(utt_lens.shape[0]):\n",
" plot(utt_len_dist_stacked[:, i], label=str(utt_lens[i]))\n",
" legend()\n",
" ylim(-0.05, 1.05)\n",
" ylabel(\"P(utt len)\")\n",
" xlabel(\"iteration\")\n",
" probe_points = np.asarray(np.linspace(0, run_length, 5), dtype=int)\n",
" for j, probe in enumerate(probe_points):\n",
" subplot(2, len(probe_points), len(probe_points) + j + 1)\n",
" lexicon = model.lexicon(lexicon_prior, history[:probe])\n",
" imshow(lexicon,\n",
" interpolation=\"nearest\",\n",
" cmap=\"binary\")\n",
" clim(0, np.max(lexicon))\n",
" xlabel(\"objects, trial %s\" % probe)\n",
" if j == 0:\n",
" ylabel(\"adjectives\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Flat lexicon behaviour"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If our lexicon prior is completely flat and uniform, then we\n",
"immediately get some interesting emergent behaviour -- the model\n",
"assigns unique names to each object.\n",
"\n",
"To read the graphs: there are three separate simulated experiments. In each experiment, $S_4$ speaks, and we plot:\n",
"\n",
"* upper left: $P(L_4\\text{ correctly understands})$\n",
"* upper right: $P(\\text{length}(\\text{utt})) = 1, 2, \\dots$\n",
"* bottom row: The \"lexicon\" (i.e., Dirichlet-multinomial pseudocount matrix) at several time points (note that this is *before* the pragmatic iteration, which anyway happens on utterances, not words)\n",
"\n",
"At first the model has absolutely no preference for any utterance over\n",
"another (except that it likes short utterances, because of the\n",
"per-word cost term). So it just produces a 1 word utterance uniformly\n",
"at random. (Why doesn't it produce the 0 word utterance? Because we\n",
"stipulated that all utterances must contain at least 1 word. Without\n",
"this stipulation, this doesn't work.) But as soon as it's associated\n",
"one word with one object, it now will prefer to use that word again\n",
"the next time it has to name that object. AND, because of the\n",
"pragmatics, it will prefer *not* to use that word to name any *other*\n",
"object. So we get a nice sparse naming scheme:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=3, objects=3, word_cost=2, softmax_weight=4)\n",
"run_and_plot(m, m.flat_lexicon_prior(1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"......."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"......."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"......."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "display_data",
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HuSUFAMAyON47hv4CgHP85Zjo8+cUAgAAAAAct3TpUiUmJqpJkyZq166dPv74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\nG4tly5aVW+fAgQP43//+B6vVCqvVikWLFvmgU6J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},
{
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CgDP8ZZ/oidNHeSQFAMAy2N87hvECgDP8ZZ/o89cUAgAAAAAc9/rrryshIUEN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\nRERERD6Mg0IiIiIiIiIfxkEhERERERGRD/PYoNB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},
{
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S3bp1kyRdc8016tOnj7p166YlS5bY2ysvL1dycrLGjx9fZV+GYeju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\n"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we do the same thing but with pragmatics disabled, then we still end up with a sparse lexicon where there's a strong object -> word consistency, because of the DM rich-get-richer behaviour -- but it's only sparse on columns, not rows:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=3, objects=3, word_cost=2, softmax_weight=4)\n",
"run_and_plot(m, m.flat_lexicon_prior(1), s_depth=0, S0_length_prior=[1.0, 0, 0, 0, 0, 0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"......"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"......."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"......."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "display_data",
"png": 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w/v73v+v999/Xxx9/XOX+ruwj/aG+AMBTfPmcmJWVpe7du6tBgwZau3atZs+e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\nyMhAXV0dgM4HxAqf2BNxzJ7Z3/jKZmFhIfLy8gAAixYtwkc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},
{
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wJ9FITjZnR5w/37yxPDMhAvBHvtyg5+fn6+abb9aHH35Y5brOaiN9ubwAwNlq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\n703vQghRVVUlJEkSBoNBvn1uRUWFz9bBlfrersNImNmhmFn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},
{
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NRO3xx81zEA8dMkfovvxS2rzZXIqLpQEDzOmokyeb5y7Gxzs3Slevnjki2K2b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\nME4KiYiIiIiIDIyTQiIiIiIiIgP7P4rz6H7El+DdAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What if there are more objects than adjectives, so they can't all get\n",
"unique names? Then it ends up assigning the same adjective to two\n",
"different objects, and accepting a lower accuracy:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=4, objects=5, word_cost=2, softmax_weight=4)\n",
"run_and_plot(m, m.flat_lexicon_prior(1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"."
]
},
{
"output_type": "display_data",
"png": 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kSZMmyWq16siRI5Kkjh07qmnTpnaX99YYCQBonCeKuUDl1p7C3r17a9q0aerX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\nmKT1AKCkpASnTp1CYWEhTCYTTCYT/vrXv0pas6mpCS+++CK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},
{
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Ckce3pDh69KiaN2+u8PBw/fzzzzp16pTatm3rrfic4szlV598UvrlF2nGjNJDR2NipM2b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\nLcOBAwewfft29OjRA4GBgdi3b59W3SViZkl3mFnSG2aW9Ia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},
{
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tMM8nn3yiCRMmSJIKCwv13nvvKTw8XGlpaTWu9/RpqXt3qW9f6c03pauvdudT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\nsVNIRERERERkYOwUEhERERERGdj/A0sCwmEHtZ0BAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Of course, the no-pragmatics model is still terrible. Or even more so, since with >3 objects, the rich-get-richer effect alone can't even produce very effective sparsity:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=4, objects=5, word_cost=2, softmax_weight=4)\n",
"run_and_plot(m, m.flat_lexicon_prior(1), s_depth=0, S0_length_prior=[1, 0, 0, 0, 0, 0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"."
]
},
{
"output_type": "display_data",
"png": 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KzKKxcpwREeb2yrdVvu3yWE+fNtc5edJ83qiR+XNo3Njso8jIikeDBhWFr8NR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\n+fMRHR2N2NhYrF+/Xn5u165deOSRR+RvOvvzn/+suH9Sl5k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},
{
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31VVmv5WWmq/IyPJC1VnAxcWZ36e3s3wXLpgFn7P/Ly9er/x+nN+3s68bNjS/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\nIiICr7zyiuw+krqMlNPu7m4sW7YM0dHRiI2NxebNm6XX8vL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},
{
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Hj1ce0Tl+vPJoVFGRWahUPE6dqpxS2K6dWXBVHDWSzOKjohBp08Z8r7y86tGh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\n"
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But while the pragmatics version is better than this, it's still somewhat dissatisfying that it hits an accuracy ceiling of 80%, and never uses multi-word phrases. What if we reduce the per-word cost?\n",
"\n",
"It turns out that in this case, keeping everything else the same, it\n",
"ends up with much higher naming accuracy, and lexicons where all\n",
"objects can be identified with just 1 or 2 words:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=4, objects=5, word_cost=0.5, softmax_weight=4)\n",
"run_and_plot(m, m.flat_lexicon_prior(1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"."
]
},
{
"output_type": "display_data",
"png": 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av1JTgeHDgWuvFSM/Og8KoiiO4e2tVtG6dfCg6IK4f78Yg6CgQLR4ybJoMVMD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},
{
"output_type": "display_data",
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gN9dazGYxTUwMEB4OrFoFvPUWr2zeXSmKSDwCAzt+XWYzIMtinYointsWk0nE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\nXNKoUaMwatQoefnVV1/tcFtHZnbGjBk29JpcmcVigcVikZdfeeWVDrd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},
{
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8XX458NhjoltmWwoKRAvgoUPAt9+Krp51dSJpNMANN4jRV4cN88nh+Z3NJi7a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\n"
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Do we still get the nice ones-and-zeros matrix if we add in an extra adjective (so we have equal numbers of adjectives and objects, replicating the first experiment), but keep this reduced word cost?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=5, objects=5, word_cost=0.5, softmax_weight=4)\n",
"run_and_plot(m, m.flat_lexicon_prior(1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "display_data",
"png": 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45JFHsHDhQoSEhGDcuHHYt28fli5dimnTprVohy3h6gCzssRVqrNnfZYVIiLy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\nVStb6/Xv31+rVq1y5LH26JlydnAis88++6ztNSdNmmR7zdNPP93Wekl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},
{
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5454+t6N3fv3117jmmmsQFhaG4cOH48CBA1i0aJHPuySdsVjE9f28vJOIiHyl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\nvCOZ3bdvn601O3XqZGs9SbY/xzOF1+tV69atbc2tx+PRgQM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},
{
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Fhg6Vb5z+5ZdyYkhERJ735z//GVOmTEG7du28fmgnUIekz2QyAQDWr1+PsWPH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\nYQAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like it doesn't converge as quickly, but the basic behaviour's pretty similar."
]
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"(Simple) structured lexica"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's a slightly more structured prior, where we have two red\n",
"circles, two blue squares, and the adjectives are \"red\", \"circle\",\n",
"\"blue\", \"square\". Again it ends up with single-word names for\n",
"different objects, but ones that are consistent with this prior:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = Model(adjectives=4, objects=4, word_cost=0.5, softmax_weight=4)\n",
"run_and_plot(m, np.asarray([[1, 1, 0.1, 0.1],\n",
" [1, 1, 0.1, 0.1],\n",
" [0.1, 0.1, 1, 1],\n",
" [0.1, 0.1, 1, 1]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "display_data",
"png": 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iIiIiCkYHDhzA9u3brbcv8scprh4lhRMnTkRmZibCw8Px0ksv4fz58wgPD/dW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\ns8uXL5eXMzMzu/VDdMvdmbKHKzP7y1/+Ul5OT09HRkaGw3WRd9NKZl9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},
{
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D9PR0dO3aFRqNBnV1daipqUHPnj09nc9W+ftJo0RE5Bnc3zuH5UVEZOWv+0S9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\n2SgvL3e4lmqHj549exYtLS0AgM7OTnz44Ycwm81W6+Tm5mLLli0AgJq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},
{
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R4wJhf798+XKsWLECer0eOp3O/LlWq8Wf//xnrFy50muxBEJ9ERF5S7DsE/0u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\nAABJRU5ErkJggg==\n"
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's try a more interesting lexicon prior -- one where any object can be picked out by using two words, but any single word is ambiguous."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def ambig_2way_prior(model, high_alpha=1, low_alpha=0.1):\n",
" assert model.adjectives == model.objects\n",
" lexicon_prior = low_alpha * np.ones((model.adjectives, model.objects))\n",
" for i in xrange(model.adjectives):\n",
" lexicon_prior[i, i] = high_alpha\n",
" lexicon_prior[(i + 1) % model.adjectives, i] = high_alpha\n",
" return lexicon_prior\n",
"m = Model(adjectives=4, objects=4, word_cost=0.5, softmax_weight=4)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The prior looks like this -- think \"red circle\", \"blue circle\", \"blue square\", \"blue circle\":"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ambig_2way_prior(m)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 16,
"text": [
"array([[ 1. , 0.1, 0.1, 1. ],\n",
" [ 1. , 1. , 0.1, 0.1],\n",
" [ 0.1, 1. , 1. , 0.1],\n",
" [ 0.1, 0.1, 1. , 1. ]])"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And if we run the model, we get something exciting! It starts out with\n",
"high accuracy and -- crucially -- using a lot of two word phrases, but\n",
"very quickly ends up with a lexicon that allows even higher accuracy\n",
"while using one word phrases."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"run_and_plot(m, ambig_2way_prior(m))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"..."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"."
]
},
{
"output_type": "display_data",
"png": 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XAqkNccRvrj5qeeJ8dHQ0HnzwQTz44IOIjo5GUVGRU/PIyspCUlISEhMTsWDB\ngjrH+/nnn6HRaPDZZ5+5EyoREZEiMjMzsXjxYixevBj/+7//i/3796OkpMSpaRuijVQJKqQ2vxmt\n+21nQkhERFbcOny0b9++5kz0zJkzaHHtutaXL19Ghw4dcOrUKYfTG41GzJgxA5s3b0ZsbCz69++P\nUaNG1eplNBqNeOmllzBs2LBGkdUTEVHTFRoaWm/7CDRsG9muejDOJGUDeNCNNSAiooaSnp6O3bt3\nQ6OR0rO4uDgcO3bMZ8t3q6cwJycHp06dQkZGBjZs2IBLly7h0qVL+Prrr5GRkVHv9Hv27EGXLl2Q\nkJAArVaLsWPH4osvvqg13uLFizFmzBi0adPGnTCJiIgUM3LkSPNw5513olu3bhg9enS90zVkG6nJ\nS8fVFttdWg8iImp4giDg3//+N0pKSlBSUuLThBDw8EIzO3fuxLJly8yv77jjDrzwwgv1Tpefn4/4\n+Hjz67i4uFo3+c3Pz8cXX3yBrVu34ueffzafl0FERBQInnvuOfNzjUaDDh06WLV9dWnINvL8oRRU\n3ngB50vPo21YWyfXhIiIfEHJIyM9SgpjYmIwZ84cPPzwwxBFEatXr0ZsbGy90znTeD3zzDOYP3++\n+TDV+gpp1qxZ5ufp6elIT0+vdxlEROTfsrOzkZ2drXQYLhFFEYIgOGyH5HHs8XYbadk+7tubjuvu\nuxHbc7bjgZ4P1LscIiLynVdeeQUvv/wyunXrhjfeeAODBw92OL4320iPrj566dIlzJ49G99//z0A\n4Oabb8bMmTPRsmVLh9Pt2rULs2bNQlZWFgBg3rx5UKlUeOmll8zjdOrUydzIFRYWIjQ0FMuWLcOo\nUaNqr0QjuZIQERE5Fgj7+8GDB2PEiBG466670LVrV6vPfv/9d/z3v//F119/jR07dtid3pttpGV5\nXboEdOwIzMz6J/64fBLv3vmu19aZiCgQ+HMbsmfPHvTo0QM6nQ5r1qzBjBkzcPDgQXTq1KnWuA1x\n9VGPb0nhDoPBgG7dumHLli2IiYnBgAEDsGbNmjpvZzFx4kSMHDkS99xzj93P/XkDExGR9wTC/r6q\nqgoff/wx1qxZg19++QXh4eEQRRGlpaXo2bMnHnroIYwbNw46nc7u9N5sIy3LKztbuj/h4vX78Mh/\nH8Gv03/12joTEQWCQGhDZHfccQfuvPNOzJgxo9ZnDZEUenT46O+//463334bOTk5MBgM5mC2bt3q\neKEaDTKaNacEAAAgAElEQVQzMzF06FAYjUZMnjwZycnJWLp0KQBg6tSpnoRFRESkmKCgIEyaNAmT\nJk2C0WhEYWEhAKB169ZQq9X1Tu/tNvL554Fu3YBffgFSUoDebXsjvzgfF8ouIKpZlOsrSETUSGUL\n2V6ZT7qY7pX5+JJHPYW9evXCtGnT0LdvX3NDJwgC+vXr57UAnRFIWT8REbkvEPb3FRUVWLJkCU6e\nPIlevXph8uTJ5kuM+5ogCJg3T8TvvwPHjwMvvADcfTcwYvUIPNr7UYzpPkaRuIiIlOCvbcjVq1ex\na9cuDB48GBqNBuvWrcPUqVNx8OBBdOnSpdb4fnf4aL9+/bBv3z53J/caf93ARETkXYGwv7///vuh\n0+lw44034ptvvkFCQgIWLVqkSCx1lddbP76FM8VnsPiOxQpERUSkDH9tQwoLCzF8+HD89ttvUKvV\nSE5Oxuuvv44hQ4bYHd/vksJZs2ahTZs2uOeeexAUFGR+v74LzXibv25gIiLyrkDY36ekpODIkSMA\npPMD+/fvjwMHDigSS13ltSd/Dx778jEcnnZYgaiIiJQRCG2IM/zunMIPP/wQgiDg7bfftnr/1KlT\nnsyWiIgoYFkeKqrUYaP16duuL05fPY3C8kK0Dm2tdDhERKQwRa4+6m2NJesnIiLHAmF/r1arERoa\nan5dUVGBkJAQAFL8xcXFPovFUXndtfYu3N3tbkzsM9Fn8RARKSkQ2hBn+N3hoytWrLB7k91HHnnE\n3Vm6pbFsYCIicoz7e9c4Kq8vf/8S836Yh52Td/o4KiIiZTSWNsTvDh/9+eefzUlhRUUFtm7dir59\n+/o8KSQiIiLXDE8cjic2PoHDBYfRK7qX0uEQEZGCvHr46JUrV/DAAw/g22+/9dYsndJYsn4iInKM\n+3vX1Fdes7JnobC8EJnDM30YFRGRMhpLG9IQPYUqT4OyFBoayovMEBERBYjJfSZj9ZHVKKsuUzoU\nIiJSkEeHj44cOdL83GQy4ejRo7j//vs9DoqIiIgaXnxkPAa1H4R1v67DpD6TlA6HiIgU4tHho9nZ\n2ebnGo0GHTp0QHx8vDficklj6QomIiLHuL93jTPlteH4BszZMQe7Htvlo6iIiJTRWNoQv7v6qL9o\nLBuYiIgc4/7eNc6Ul9FkRMKiBGx4cANS26b6KDIiIt9rLG2I359TSERERIFFrVLjsT6PYem+pUqH\nQkTUpK1duxbJyckICwtDly5d8MMPP/hs2ewpJCKigMH9vWucLa+84jz0eq8Xfp7yMzq37OyDyIiI\nfM+f25DvvvsOU6ZMwSeffIIBAwbg3LlzEEURMTExtcbl4aN18OcNTERE3sP9vWtcKa8le5dg7vdz\nseWRLUhsldjAkRER+Z4/tyE33HADpkyZgokTJ9Y7rt8cPpqVlWV+fuXKFUyePBkpKSkYN24cCgoK\n3AqEiIiIlPN42uOYlT4Lt6y4BccuHlM6HCKiJsNoNGLfvn24cOECEhMTER8fjyeffBKVlZU+i8Gt\npPCVV14xP3/uuefQrl07fPXVV+jfvz+mTp3qteCIiIjIdyb1mYR5Q+ZhyMohOFJwROlwiIiahIKC\nAuj1enz66af44YcfcPDgQRw4cABz5szxWQxuHT7ap08fHDhwAACQmpqKgwcPQhAE8+tDhw55N8p6\n+HNXMBEReQ/3965xt7zW/bIOk7+cjLiIOKS2TUWvqF5IbpOMdmHt0DasLdqFt0OwJrgBIiYiajj+\n2oZcvnwZrVq1wooVKzB+/HgAwGeffYY5c+Zg//79tcZviMNH3bp5/cWLF/HPf/4Toiji6tWrVp/5\nY0ETERGR8x7o+QBGJ4/G74W/41DBIRwuOIyVh1bifOl5nCs9h/Ol56FRaRARFGEeQrWhCNGEIEQb\ngsigSEzpOwWD2g9SelWI6mQwGfD5sc+RV5xn9b4gCFAJKqgEFQQI5o6PusjjODOuM9MLEMxx1DW+\nK0RIv81FUTQ/t/r82m93+TMBAjQqjXlQCapa62c7jaM4bdfDUfzysuSyFyHWGbflvBx9LsfuKFZZ\ndrbr28+e9HTX8qEWLVogLi7OpWmWH1iOjM4ZiItwbbq6uJUUPvbYYygpKQEATJw4ERcvXkRUVBTO\nnTuH3r17Oz2frKwsPPPMMzAajXjsscfw0ksvWX3+8ccf480334QoiggPD8d7772HXr16uRMyERFR\nwPCH9lGn1iElOgUp0Sm1PhNFEWX6MhRXFaO4qhhXK6+iwlCBCn0FKgwVyCvOw0OfPYTkNsl4/ZbX\nkRaT5tXYiDxhMBmw5sgavL7jdbQNa4t+Mf2sPhdFESbRZB4csUxa3OkYsZ3eMoGra3z5c1cSUMsE\nzV5SJs9LgACTaIJRNMJgMsBgMsBoMlrFZ5vs2ZtfXevhKDGT528STeZtYC9Zrmte9j63LFtnysvV\nZM6bJk6ciMWLF2PYsGHQaDRYuHAhRo4cWef4209vR7+Yfl5LCr1+9dH169djzJgx9Y5nNBrRrVs3\nbN68GbGxsejfvz/WrFmD5ORk8zg7d+5E9+7dERkZiaysLMyaNQu7du2qvRJ+2hVMRETe1RT2942l\nfaw2VuM/+/+DOd/PQddWXRHVLAo6tQ46tQ7hunDER8QjPjIe8RHxiI2IRVSzKLuHpFomoFcrr6Jc\nX44QbQiaaZshVBsKtUqNyxWXcaXyCi5XXsbVyqu4WnXVnLCWVJegtLoUpdWlqNBXIEwXhlahrdA6\npDXahbfD9XHXo1urbm718JCk0lCJz499jj1n96DSUIkqQxUqDZUwikar+qdVaxGsCUawJhg6tQ4G\nkwFVhipUG6thMBkQpAlCsCYYQeogqFVqVBurzUO5vlzanlXS9jSJJqseLL1Jb56XSTQhPCjc3Isd\nrgtHiDYEIZoQBGuCsfHERrQLb4dZg2chPSGd274J8ec2xGAw4Omnn8bq1asRHByMBx54AG+++SZ0\nOl2tcQPilhTx8fHIzc2td7ydO3di9uzZ5iuZzp8/HwDw8ssv2x3/8uXLSElJQV5eXq3P/HkDExGR\n9zSF/X1jax8r9BXY/OdmlOvLUWWUfrRfrbyKvJI8nLl6BrlXc3Gu9BwulF1AkDoIUc2iIEJEub4c\nZdVlKNOXIUgdhMjgSEQGRSJUG4oKQ4X5M5NoQvPg5mgR3AItQlogMijSPK6cEITpwtBM1wwhmhCU\nVJfgUvklFFYUIq84Dz+e+RFl+jLc2P5GDO4wGBmdMtC9TXcmCvUwmAz49cKv+ODgB/j48Mfo064P\nhnYeilBtqDmx06ikA9Lkeqg36c1JY5WxClqVFjq1DkGaIKgFNaqMVVYJZZA6CDq1Dlq1FqHaUITr\nwhEeFI5wXTjUKrW5J08URWjVWgSpgxCkCYIAAaXVpeY/B0qqSqx6svu264vBHQZzGzdB/rBP9Aa/\nOafQG/Lz8xEfH29+HRcXh927d9c5/n/+8x8MHz7cF6EREREpprG1jyHaEIzsVvchUDJRFHG16iou\nlF2ASlAhVBtq7g3UqrUNGmPu1Vx8f+Z7ZOdkY9HuRag2VuO2Treha8uu0Jv05l6oC2UXcObqGZy+\nehr5xfkwiSZo1VpoVVpzAiQf0qYW1DU9VdcSmfAgKUEN04XVnIN57TxMOaHRqXXQqDTQG/WoNlaj\nylgFg8kAtaCGWqWGWpB60ArLC3Gp4hIKywtRaag0J0hG0YgKfQXK9GUo15ejXF8OvVFaB4PJAJNo\ngkalgValNffcybFFBEVALajNhw4aTUZp/Y01ZVBUUYTC8kIUVxUjPjIe43uNx89TfkbHFh0bdBsR\nUcNSLCl05d+Zbdu24YMPPsCPP/7YgBEREREpr6m2j4IgoHlwczQPbu7zZcdHxmNcyjiMSxkHURTx\nx+U/8N0f3+FM8Rno1DqEakIRGRSJnlE90T6yPdpHtkdcRBzUgtqcbOmNeqtzrAwmA0qqS8yHsRZX\nFaOsugyl1aUoqS5Bub4cFYYKFJcVo1xfbnWopN6kNx9qKyeJRpMRRtEIo8kInVqH1qGtERsei17R\nvRCqDTVfGEUtqBGiDTEn1SHaEPM8tCotBEEwx6s36VGhr0BJdQlKqkpQUl0Co8kIjUpjTkDlpFer\nlnr1WoW0QuvQ1mge3Bxqldrn24qIGoZbSWFKSu2TzmXO3rw+NjbW6jDT3Nxcu1fdOXz4MKZMmYKs\nrCy0aNGizvnNmjXL/Dw9PR3p6elOxUFERP4rOzsb2dnZSofhU2wflSUIArq07IIuLbs4Nb6jXsw2\nzdp4Kywiolq82Ua6dU5hTk6Ow88TEhLqnYfBYEC3bt2wZcsWxMTEYMCAAbVOpD9z5gxuvfVWfPTR\nR7j++uvrnFdjOT6YiIgcawr7e7aPREQNo7HsE/3mnMIOHTrUe3hLfZd+1Wg0yMzMxNChQ2E0GjF5\n8mQkJydj6dKlAICpU6fi73//Oy5fvoxp06YBALRaLfbs2eNOyERERAGB7SMREfmaWz2FgwcPxogR\nI3DXXXeha9euVp/9/vvv+O9//4uvv/4aO3bs8FqgjjSWrJ+IiBzj/t41LC8iohotW7bE5cuXlQ7D\nYy1atEBRUVGt931+S4qqqip8/PHHWLNmDX755ReEh4dDFEWUlpaiZ8+eeOihhzBu3Di799VoCGz0\niIiaBu7vXcPyIiJqOhS9T6HRaERhYSEAoHXr1lCrfX8lKjZ6RERNA/f3rmF5ERE1HT4/p7CiogJL\nlizByZMn0atXL0yePBkajWJ3tyAiIiIiIiI3udVTeP/990On0+HGG2/EN998g4SEBCxatKgh4nMK\n/wklImoauL93DcuLiKjp8PnhoykpKThy5AgA6dLZ/fv3x4EDB9wKwBvY6BERNQ3c37tGEASI33wD\nbN8O/PADMHIk8OKLSodFREQNwJM2UuXORJaHivKwUSIiIj82bx6g0wEvvwwsWwa8+67SERERkZ9x\nq6dQrVYjNDTU/LqiogIhISHSDAUBxcXF3ovQCfznmIioaeD+3jW1yuvPP4GbbwbefhsYO1a5wIiI\nyOt8fqEZo9Ho1sKIiIhIQZ06ARs3ArfdBrRsCdx+u9IRERGRH3Dr8FEiIiIKUL16AZ99Bjz0ELB7\nt9LREBGRH2BSSERE1NTceCOwfDlw113Ab78pHQ0RESmMSSEREVFTNGIEMH8+MGwYkJ+vdDRERKQg\nXjqUiIioqXr0UaCgQEoMd+wAWrRQOiIiIlIAewqJiIiashdflC48c+edwJYtgF6vdERERORjbt2S\nwt/wEuVERE0D9/eucbq8TCbgnXeAtWuBkyeBO+4Abr0VCAqqexqVShrUaulRqwU0GmkICgI6dwZi\nYwFB8N4KERFRnTxpI5kUEhFRwOD+3jVuldfZs8BXXwE//igli/aIojQYjdI4RiNgMNQMFRXAiRPS\nY/fuQJcuUqKoVktJIwBUVQHV1dJjeTlQXAxcvSo9ajRAaCjQrFnNIL8ODpYSTXm9VCrpM3kICZGG\n4GDpUaeTElZ50GikOORkVq+X4qiuluIoLJSGixel+OXx5OWEh9cM8rzkz+VykQe5rACpjPT6mqGq\nqmaorLR+rK6W5q3TSYNtnIJQUx6hodJ6CULNYJmsq1S1t53JJA1ynPI09tbBcnyTyXrckBAgIUG6\n1UmHDlKZ+wOjUdqG584B588Dly9L9VKup2FhQLt2QEyM9HjtXtvmelVWJtXDkhKpTqjVNfVHrbYu\n6+pqoLS0ZjAaa8pIHsceeRz5jxStVnq/urpmWxuN9reX/L2Up5Pjsq17tnWzru1oOcjzqaiQ1r2i\nQqqX8mNlpfS5HLf8fZbna3vbOtuYAOvl2ZaP/B2LiJDqt7xNLNffcn6WdV6rlfYzwcE1+xtLtuVR\nVlaz3Sor7ccsLycoSKon8j7G0bi2j0FB0vpYrpMteX8ql62bf6YxKeSPBCKiJoH7e9coXl6XLgFH\njwJ//in90JV/lIui9ENJp5MeQ0OByEjpR1N4uDReebn0o62srOa5/CO1ZgVrklB5HPmHa0WFNMg/\nsuVBTg7khFZOvHQ66cde69bS0KaN9Fr+oWs0SvMrKZF+RJaU1MxLHscyWbBMCCx/tMpDUJD1D1jL\nR61WmrdlcmAZp8kkra+8znp93UmcHJclObGRE0bLJN82fns/4OV5l5UBOTnS9j1zRiovewlRXfOq\n74ev7TrJ20Eu87qSV6NROj+2XTugbVvpnpxyAqNWS9vv3DnpD5CzZ6VE3PJ70qxZTV0MDbVO6OUf\n7vL4Wq00XliYNJ1lcuboTxWg5vsg10vL74Wc6NmWl+V2sJzWYKhd7yzLw9F2lNdJLlfAOgGS/2AJ\nCZHiU6msl11XPbH8nsqD7fa0LZfycum7JSfltuttu46W8zMYrP9gsSx/2/ohCNI2k4egIOu4bZcj\n/2lkuQ+yrd+2dV5+rKqq+cOrsrKmjljGJYo162g01vyBJie2lvXTclmffmp1v1kmhUo3ekRE5BPc\n37uG5UU+YzRKP3ptEyJHvY6OyD2Ytr2flr28dSWvlj3SRP7EYKip+3LiaNn7DNQk6PKfEJYJpu33\nKSSkppcZTArZ6BERNRHc37tGEAR8XViIQr0ehXo9ujdrhttbtICK5/kRETU6TAr5I4GIqEng/t41\ngiBg2KFDaK3VoqVGg++vXkWx0YhpMTGY2LYtWlr8w0xERIHNkzZSsVtSZGVlISkpCYmJiViwYIHd\ncZ566ikkJiYiNTUVBw4c8HGEREREyvBmG/lNr15YlZyMRYmJ2NevHz5KTsbB0lJ02r0bd//yC/5z\n7hzOV1c31KoQEVEAUOSAa6PRiBkzZmDz5s2IjY1F//79MWrUKCQnJ5vH2bhxI06ePIkTJ05g9+7d\nmDZtGnbt2qVEuERERD7TkG2kIAi4PiIC10dEoEivx8aiInxVWIjn//gDnUNC0DE4GFFaLdrodGil\n0SBYpUKQSgWdSgWdIEAjCFBfe1Rdm58AwN7BqFpBgO7a9FpBgAjAJIoQAWm49hzXplddm6daEMzP\n5fdNogjjtelNFtOYB4vxHcUk2j5em5/J4lG0GU+0jNnOa3k+lmVsGZu99+T1U10rT5XNe/I/9pb/\n91uua13r5yxXphVsDjWWy8ooiubBYLF9ZPbK2hn1jWVZpk6NZ2c6NQCNIEB7rW4KqHv7ijZ1wl68\ntvXHmbjk5+prdUBtpw7bLsfqtU152pZ3XcuW5+9oXpbb1+DEOpnn7UbctuPa7ifsLaeueZvjQP3r\naB7fImbRznjyfGz3Fbbx2K63PJ0z31V5nyCPa0RN+VvuI+2te+eQEER66fxZRZLCPXv2oEuXLkhI\nSAAAjB07Fl988YVVg/fll19iwoQJAIDrrrsOV65cQUFBAaKjo5UImYiIyCe83UbmLc6DWC3CVGWC\nOkwNXTsdgmKCEBKjw9jWrfBQ9yjoRRE/l5Qgv6oKF/R6XKyuxu8VFagymcxDtcWPRMO1H0aWP5ht\nf7DoRRHV16arNpmsfvTYJjfyD0H5x5DlD21RFK0SRssfcACs4rB8Lo9T68ea/HjtR5saNYmYMwmd\nvdfyfO0lEeY4Ld6XnxstEixzGVx7z/bHpr31s8feOtt+7uz49n7QWybt8h8Eln8UWLIt6/riqusH\ntm089SUp8g/7Wokpan7c60URepMJesuEHvVvb9t4LJN5AY4PwbON2za5NsG6DtWVaFjGa+91XX+I\nWCa6juYlJ6vytrVcJ3tx2SbQrsZtSf4equyM50yS6Ow6wmI8+bltYmv5h4btdhZQd320nK7eugrr\neilC2idZ/lFguV6222lxYiIGRUbWsxTnKJIU5ufnIz4+3vw6Li4Ou3fvrnecvLw8JoVERNSoebuN\nPK+bDYQAghoQqwHTaQHGQyoYLgOmEgFitQrqYB1UQVrEqVWIFwRAJUAQpKs7Cra/NAWhjl91Nj/A\nrv2qk+Zj87nFPM0/3ET5QbR6LT0X7C3CPoe/wmw+FG2WJV576mz24XZ3nZ0ZO+ra9OqyvU+wrBPu\nnvLr6anCznTH1HqvrrrsY/bWPZDPnXb3Qla+XOcG+247MW/Lmcu7IDdXvdN99wHXBXBSWF+Xv6yu\nLlx7Zs2aZX6enp6O9PR0d0IjIiI/kp2djezsbKXD8Clvt5Ef/5Yjj4Hrr++I64fFw2TSQxSrIYoG\nmPQGGCurYawqBYwm6d9tkwiIptpJkrRge8HYf0u0/4tHtE3GbNn+He5o3Pqmr/WRnQ8ddrk42Y9W\nXxedo4W6mvz5U74g1vnCf1n+AeGlemWeryt1wGJ8u/XSVQ2V4Cq5Wf0hafcqB4XpxrruPP099n2z\nzv1wLCiSFMbGxiI3N9f8Ojc3F3FxcQ7HycvLQ2xsbJ3ztEwKiYiocbD9k2/27NnKBeMj3m4jFy78\nrmECJSIiRaUCGGnx2pM2UpGrj6alpeHEiRPIyclBdXU11q1bh1GjRlmNM2rUKKxcuRIAsGvXLjRv\n3pyHjhIRUaPHNpKIiHxNkaRQo9EgMzMTQ4cORffu3fHAAw8gOTkZS5cuxdKlSwEAw4cPR6dOndCl\nSxdMnToV7777rhKhNkpN7VAsT7G8XMPycg3Li2yxjVQOv4+uYXm5huXlGpaXbyly+CgA3HHHHbjj\njjus3ps6darV68zMTF+G1GRkZ2fznEsXsLxcw/JyDcuL7GEbqQx+H13D8nINy8s1LC/fUuzm9URE\nRERERKQ8JoVERERERERNmCDaXtM6ADl7+W4iIgp8jaDZ8hm2j0RETYu7bWSjSAqJiIiIiIjIPTx8\nlIiIiIiIqAljUkhERERERNSEBXRSmJWVhaSkJCQmJmLBggVKh+N3cnNzccstt6BHjx7o2bMn/vWv\nfwEAioqKkJGRga5du+L222/HlStXFI7UfxiNRvTp0wcjR44EwLKqz5UrVzBmzBgkJyeje/fu2L17\nN8vMgXnz5qFHjx5ISUnBuHHjUFVVxfKyMGnSJERHRyMlJcX8nqPymTdvHhITE5GUlIRNmzYpEbLf\nYvvoGNtH97CNdB7bR9ewfXTMF+1jwCaFRqMRM2bMQFZWFo4ePYo1a9bg2LFjSoflV7RaLRYuXIhf\nf/0Vu3btwr///W8cO3YM8+fPR0ZGBo4fP44hQ4Zg/vz5SofqNxYtWoTu3bubL87AsnLs6aefxvDh\nw3Hs2DEcPnwYSUlJLLM65OTkYNmyZdi/fz+OHDkCo9GItWvXsrwsTJw4EVlZWVbv1VU+R48exbp1\n63D06FFkZWVh+vTpMJlMSoTtd9g+1o/to3vYRjqP7aPz2D7WzyftoxigfvrpJ3Ho0KHm1/PmzRPn\nzZunYET+76677hK/++47sVu3buL58+dFURTFc+fOid26dVM4Mv+Qm5srDhkyRNy6das4YsQIURRF\nlpUDV65cETt27FjrfZaZfZcuXRK7du0qFhUViXq9XhwxYoS4adMmlpeNU6dOiT179jS/rqt85s6d\nK86fP9883tChQ8WdO3f6Nlg/xfbRdWwf68c20nlsH13D9tE5Dd0+BmxPYX5+PuLj482v4+LikJ+f\nr2BE/i0nJwcHDhzAddddh4KCAkRHRwMAoqOjUVBQoHB0/uHZZ5/FW2+9BZWq5mvBsqrbqVOn0KZN\nG0ycOBF9+/bFlClTUFZWxjKrQ8uWLfHcc8+hffv2iImJQfPmzZGRkcHyqkdd5XP27FnExcWZx2Mb\nUIPto2vYPjqHbaTz2D66hu2je7zdPgZsUsh7LzmvtLQU9957LxYtWoTw8HCrzwRBYFkC2LBhA6Ki\notCnT5867+/CsrJmMBiwf/9+TJ8+Hfv370ezZs1qHdrBMqvxxx9/4J133kFOTg7Onj2L0tJSfPTR\nR1bjsLwcq698WHYSloPz2D46h22ka9g+uobto+e80T4GbFIYGxuL3Nxc8+vc3FyrrJgker0e9957\nL8aPH4+7774bgPRvwvnz5wEA586dQ1RUlJIh+oWffvoJX375JTp27IgHH3wQW7duxfjx41lWDsTF\nxSEuLg79+/cHAIwZMwb79+9H27ZtWWZ27N27FzfccANatWoFjUaDe+65Bzt37mR51aOu76BtG5CX\nl4fY2FhFYvQ3bB+dw/bReWwjXcP20TVsH93j7fYxYJPCtLQ0nDhxAjk5Oaiursa6deswatQopcPy\nK6IoYvLkyejevTueeeYZ8/ujRo3CihUrAAArVqwwN4ZN2dy5c5Gbm4tTp05h7dq1uPXWW7Fq1SqW\nlQNt27ZFfHw8jh8/DgDYvHkzevTogZEjR7LM7EhKSsKuXbtQUVEBURSxefNmdO/eneVVj7q+g6NG\njcLatWtRXV2NU6dO4cSJExgwYICSofoNto/1Y/voGraRrmH76Bq2j+7xevvotbMfFbBx40axa9eu\nYufOncW5c+cqHY7f+f7770VBEMTU1FSxd+/eYu/evcVvvvlGvHTpkjhkyBAxMTFRzMjIEC9fvqx0\nqH4lOztbHDlypCiKIsuqHgcPHhTT0tLEXr16iaNHjxavXLnCMnNgwYIFYvfu3cWePXuKjzzyiFhd\nXc3ysjB27FixXbt2olarFePi4sQPPvjAYfm88cYbYufOncVu3bqJWVlZCkbuf9g+Osb20X1sI53D\n9tE1bB8d80X7KIhiHQeHExERERERUaMXsIePEhERERERkeeYFBIRERERETVhTAqJiIiIiIiaMCaF\nRERERERETRiTQiIfGDRoEADg9OnTWLNmjVfnPXfuXLvLIiIiCgRsI4mUx6uPEvlQdnY2/vGPf+Cr\nr75yehqDwQCNRlPn5+Hh4SgpKfFGeERERIphG0mkHPYUEvlAWFgYAODll1/G999/jz59+mDRokUw\nmUx44YUXMGDAAKSmpuL9998HIDWMN910E+666y707NkTAHD33XcjLS0NPXv2xLJly8zzq6ioQJ8+\nfTB+/HirZYmiiBdeeAEpKSno1asXPvnkE/O809PTcd999yE5ORkPP/ywT8uCiIjIEttIIj/g/dsr\nElQFsNUAACAASURBVJGtsLAwURSlm/6OGDHC/P7SpUvFOXPmiKIoipWVlWJaWpp46tQpcdu2bWKz\nZs3EnJwc87hFRUWiKIpieXm52LNnT/Nred62y1q/fr2YkZEhmkwmsaCgQGzfvr147tw5cdu2bWJk\nZKSYn58vmkwmceDAgeIPP/zQcCtPRETkANtIIuWxp5DIh0Sbo7U3bdqElStXok+fPrj++utRVFSE\nkydPAgAGDBiADh06mMddtGgRevfujYEDByI3NxcnTpxwuKwffvgB48aNgyAIiIqKwuDBg/Hzzz9D\nEAQMGDAAMTExEAQBvXv3Rk5OjtfXlYiIyBVsI4mUU/dB2ETkE5mZmcjIyLB6Lzs7G82aNbN6vWXL\nFuzatQvBwcG45ZZbUFlZ6XC+giDUamAFQQAABAUFmd9Tq9UwGAyergYREZHXsY0k8g32FBL5kO0J\n70OHDsW7775rbnCOHz+O8vLyWtMVFxejRYsWCA4Oxm+//YZdu3aZP9NqtXYbrJtuugnr1q2DyWTC\nxYsXsWPHDgwYMKBWI0hEROQP2EYSKYc9hUQ+IP/7mJqaCrVajd69e2PixIl46qmnkJOTg759+0IU\nRURFReHzzz+HIAjmaQBg2LBhWLJkCbp3745u3bph4MCB5s/+53/+B7169UK/fv2watUq83SjR4/G\nzp07kZqaCkEQ8NZbbyEqKgrHjh2zmrdlfERERL7GNpJIebwlBRERERERURPGw0eJiIiIiIiaMCaF\nRERERERETRiTQiIiIiIioiaMSSEREREREVETpsjVR4uKivDAAw/g9OnTSEhIwCeffILmzZvXGi8h\nIQERERFQq9XQarXYs2ePAtESsc5S4GGdpUDDOkuBhnWWGhNFegrnz5+PjIwMHD9+HEOGDMH8+fPt\njicIArKzs3HgwAF+gUhRrLMUaFhnKdCwzlKgYZ2lxkSRpPDLL7/EhAkTAAATJkzAf//73zrH5R0z\nyB+wzlKgYZ2lQMM6S4GGdZYaE0WSwoKCAkRHRwMAoqOjUVBQYHc8QRBw2223IS0tDcuWLfNliERW\nWGcp0LDOUqBhnaVAwzpLjUmDnVOYkZGB8+fP13r/jTfesHotCAIEQbA7jx9//BHt2rXDxYsXkZGR\ngaSkJNx00021xqtreiJniaLIOksBhXWWAg3rLAUa1lkKRO72SjdYUvjdd9/V+Vl0dDTOnz+Ptm3b\n4ty5c4iKirI7Xrt27QAAbdq0wejRo7Fnzx67XyLAO18kURS9Mp+//OUveO655zyezz/+8Q+vzOft\nt9/2q3hiY2M9noe3tG3b1ryz93Wd/eOPPzyMHli0aBGefvppj+ezcuVKzJw50+P5zJ492yvzmTVr\nll/Fo1arPZ5HQ/B1nb148aLHMb/55pt48cUXPZ5PZmamX9UR1lnn+LrOHjhwwOOYlyxZgscff9zj\n+axduxYvv/yyx/OZP3++V+bzzjvv+FWdVan884L4vq6zX331lccxr169GuPGjfN4Pt9//71X9tfe\n2u8vXrzYr+os4F/19vHHH8eSJUvcnl6RNRk1ahRWrFgBAFixYgXuvvvuWuOUl5ejpKQEAFBWVoZN\nmzYhJSXFp3ESyVhnKdCwzlKgYZ2lQMM6S42JIknhyy+/jO+++w5du3bF1q1bzf94nT17FnfeeScA\n4Pz587jpppvQu3dvXHfddRgxYgRuv/12JcIlYp2lgMM6S4GGdZYCDessNSaK3KewZcuW2Lx5c633\nY2Ji8PXXXwMAOnXqhIMHD/o6NK8YOHAg59PI+Gudve6667wyn8GDB3M+jYy/1tlBgwZ5ZT7+Vkf8\nbT6ByF/rbFpamlfmc+ONN/rVfFhnPeevddZbPZHe2l831v1+YyOIjeAauY5O7lVCfn6+0iFY8bdN\n7I/nFPq6jARB8Mo5hd7SsWNHpUOw4m911h/Pz1KiznrjnEJvadWqldIhWGGdrZ8SddYb5xR6S0JC\ngtIhWImMjFQ6BCv+dG6WTIk6641zCr3F3zoDWrZsqXQItfhTvZXPKXS33vrPmhAREREREZHPMSkk\nIiIiIiJqwpgUEhERERERNWFMComIiIiIiJowJoVERERERERNGJNCIiIiIiKiJoxJIRERERERURPG\npJCIiIiIiKgJUywpzMrKQlJSEhITE7FgwQK74zz11FNITExEamqqX92Alpou1lsKNKyzFGhYZynQ\nsM5SY6BIUmg0GjFjxgxkZWXh6NGjWLNmDY4dO2Y1zsaNG3Hy5EmcOHEC77//PqZNm6ZEqERmrLcU\naFhnKdCwzlKgYZ2lxkKRpHDPnj3o0qULEhISoNVqMXbsWHzxxRdW43z55ZeYMGECAOC6667DlStX\nUFBQoES4RABYbynwsM5SoGGdpUDDOkuNhSJJYX5+PuLj482v4+LikJ+fX+84eXl5PouRyBbrLQUa\n1lkKNKyzFGhYZ6mxUCQpFATBqfFEUXRrOqKGwHpLgYZ1lgIN6ywFGtZZaiw0Siw0NjYWubm55te5\nubmIi4tzOE5eXh5iY2PrnCe/bOSO0tJSp8f1dr1dtGiR+fl1112H66+/3ulYiJzh7Tr75ptvmp8P\nGjQIgwYN8nLE1NR5u84uWbLE/DwtLQ1paWlejpiaOm/X2dWrV5ufp6SkICUlxcsRU2O1d+9ej6ZX\nJClMS0vDiRMnkJOTg5iYGKxbtw5r1qyxGmfUqFHIzMzE2LFjsWvXLjRv3hzR0dF1zpNJILkjLCzM\n6cTQ2/X26aef9jh+Ike8XWdffPFFX4RNTZi36+zjjz/ui7CpCfN2nR03bpwvwqZGKC0tzaPEUJGk\nUKPRIDMzE0OHDoXRaMTkyZORnJyMpUuXAgCmTp2K4cOHY+PGjejSpQuaNWuG5cuXKxEqkRnrLQUa\n1lkKNKyzFGhYZ6mxEETb4y4DkCAIftVTaHuCsdL8bRM7OgzY19q2bYvz58/7vIwEQcAff/zh02U6\n0rFjR6VDsOJvdVatVisdQi1K1NmLFy/6dJmOtGrVSukQrLDO1k+JOutP94NLSEhQOgQrkZGRSodg\nRaVS7NbZ/7+9e4+Oorz/B/6ekHggCSYEJfeaFALksuxuEGIimHAwclFz4qUKKo2XYkwraG29UPUL\nCKZoEZqUCtZjvVdoOa2GNijWZkMgBARWqaVyK8gmpKlgAgkEIcnz+yM/RpZssrPXmdl9v87Zc3Y3\ns5/nk82bYZ99Znf6pUZmN2zY4NcxB5Kbm6t2C3ZiYmLUbqEPLeX2oYcewpo1a9zOrXZ+EyIiIiIi\nIvI7TgqJiIiIiIiCGCeFREREREREQYyTQiIiIiIioiDGSSEREREREVEQ46SQiIiIiIgoiHFSSERE\nREREFMQ4KSQiIiIiIgpinBQSEREREREFMVUnhR9++CHGjh2LtLQ0vPDCC31+brFYEBUVBbPZDLPZ\njKVLl6rQJdF3mFnSG2aW9IaZJb1hZikQhKo1cHd3Nx5++GH8/e9/R2JiIiZMmICioiKkp6fbbZef\nn4+qqiqVuiT6DjNLesPMkt4ws6Q3zCwFCtVWCnfs2IFRo0YhJSUFYWFhmDVrFj744IM+2wkhVOiO\nqC9mlvSGmSW9YWZJb5hZChSqTQqbmpqQnJws305KSkJTU5PdNpIkob6+HkajETNnzsTevXv93SaR\njJklvWFmSW+YWdIbZpYChWqHj0qS5HSb7Oxs2Gw2hIeHY+PGjSguLsb+/fsdbquld2CSkpLUbsFO\nY2Oj2i3YuXRnqaaQkBDEx8cr2tbbmX3xxRdd6tWXnnjiCbVbsJOamqp2C3a6u7vVbsHOoEGDFG3n\n7cw+9thjLvXpSytWrFC7BTtDhgxRuwU7zGyvW2+91aU+fWn37t1qt2Dn5MmTardgp6enR+0W7ISE\nKFs38XZmf/GLX7jUpy/V1NSo3YKdL774Qu0W+tBabtesWeP2Y1WbFCYmJsJms8m3bTZbn8nU0KFD\n5eszZszAj3/8Y3zzzTeIiYnxW58UeOrr67Ft2zYAynbmF3g7szt37pSvJyQkICEhQXEvFFwsFgtq\na2tdfpy3M/v555/L12NjYxEXF+dyTxQctJLZ1tZW+frgwYM1N3kn7dBKZltaWuTrERERiIyMdLkn\nCh7u5tYRSai0xNbV1YUxY8bgk08+QUJCAiZOnIj33nvP7oO5LS0tGDFiBCRJwo4dO3DHHXfgyJEj\nfWq58sLeH5S+u+QvWlsp1NKq7oWVQiU9eTuzpaWl3vxVPMKVwoFpKbNA76qLGpmdM2eON38Nj3Cl\ncGBa60etzGppX6K1lUKtiYqKUrsFOyEhIapk1mAwePPX8IjWVgqPHTumdgt9ZGVlqd2CHaW5dUS1\nlcLQ0FCsWrUK06ZNQ3d3Nx544AGkp6fjlVdeAQCUlpZi/fr1WL16NUJDQxEeHo61a9eq1S4RM0u6\nw8yS3jCzpDfMLAUK1VYKvYkrhQPjSmH/XFkp9CauFA5MS+/uA9rKLKB81cWbuFI4MK2tzGmtH7Uy\nq6V9CVcKB6bXlUJv4krhwLhS6JwnudXW7IWIiIiIiIj8ipNCIiIiIiKiIMZJIRERERERURDjpJCI\niIiIiCiIcVJIREREREQUxDgpJCIiIiIiCmKcFBIREREREQUxp5PCgwcP4uzZswB6z1dSWVmJtrY2\nnzdGREREREREvud0UnjbbbchNDQUBw8eRGlpKWw2G+666y5/9EZEREREREQ+5nRSGBISgtDQUPz5\nz3/GvHnz8Ktf/QrNzc0eD3z//fcjNjYWBoOh323mz5+PtLQ0GI1GWK1Wj8ck8gQzS3rDzJLeMLOk\nR8wtBQKnk8LLLrsMf/jDH/DWW2/hpptuAgCcP3/e44Hvu+8+fPjhh/3+vLq6GgcPHsSBAwfwu9/9\nDmVlZR6PSeQJZpb0hpklvWFmSY+YWwoETieFv//979HQ0ICnn34aqampOHz4MObMmePxwJMnT8aw\nYcP6/XlVVRVKSkoAADk5OWhra0NLS4vH4xK5i5klvWFmSW+YWdIj5pYCgdNJYWZmJpYtWwaz2QwA\nSE1NxZNPPunzxpqampCcnCzfTkpKQmNjo8/HJXIXM0t6w8yS3jCzpEfMLemB00lhVVUVzGYzpk+f\nDgCwWq0oKiryeWMAIISwuy1Jkl/GJXIXM0t6w8yS3jCzpEfMLWldqLMNFi1ahO3bt2PKlCkAALPZ\njP/85z8+bywxMRE2m02+3djYiMTERJ+PS4Gvvr4e27ZtA+DdnbKrmd25c6d8PSEhAQkJCV7rhQKL\nxWJBbW2t1+u6mtnPP/9cvh4bG4u4uDiv90SBQSuZbW1tla8PHjwYQ4YM8XpPFBh8lVnAtdxefFhp\nREQEIiMjfdITBQZv5tbppDAsLAzR0dF294WE+P6c90VFRVi1ahVmzZqFhoYGREdHIzY21ufjUuDL\ny8tDXl4egN4sv/TSS16p62pmr776aq+MS4GvoKAABQUF8u3nnnvOK3VdzazRaPTKuBT4tJLZgT7n\nRXSxSzO7ePFir9V2Jbd8rUuu8GZunU4KMzMz8e6776KrqwsHDhxAZWWl/ILaE7Nnz0ZtbS2OHz+O\n5ORkLF68WP5W09LSUsycORPV1dUYNWoUIiIi8Prrr3s8JpEnmFnSG2aW9IaZJT1ibikQSOLSg5wv\ncfr0aTz//PPYtGkTAGDatGl49tlnMXjwYL80qITWjsv2x0qqK7T2YWYnkfOrkJAQxMfH+70nSZJQ\nWlrq1zEH8sQTT6jdgp3U1FS1W7CjpcwCwKBBg1TJrDe+edpbVqxYoXYLdrR2WKLW+lErs1ral+ze\nvVvtFjQtKipK7RbshISEqJLZgc516G81NTVqt2Dn2LFjarfQR1ZWltot2PEkt05XCvft24fy8nKU\nl5e7NQARERERERFpl9Mlrcceewxjx47Fs88+iy+++MIfPREREREREZGfOJ0UWiwW1NTU4IorrkBp\naSkMBgOWLFnij96IiIiIiIjIxxR9+C0+Ph6PPPII1qxZA6PR6LVvESMiIiIiIiJ1OZ0U7t27F4sW\nLUJWVhYefvhh5OXloampyR+9ERERERERkY85/aKZ+++/H7NmzcJHH33Ek8cTEREREREFGKeTwoaG\nBn/0QURERERERCrod1L4gx/8AH/6058cni9FkiTs2bPHp40RERERERGR7/U7KayoqAAA/PWvf+1z\nEkStnSyeiIiIiIiI3NPvF80kJCQAAF5++WWkpKTYXV5++WWPB77//vsRGxvrcCUS6D0VRlRUFMxm\nM8xmM5YuXerxmESeYGZJb5hZ0iPmlvSGmaVA4PTbRzdt2tTnvurqao8Hvu+++/Dhhx8OuE1+fj6s\nViusViueeeYZj8ck8gQzS3rDzJIeMbekN8wsBYJ+J4WrV6+GwWDAvn37YDAY5EtKSgrGjRvn8cCT\nJ0/GsGHDBtzm0sNWidTEzJLeMLOkR8wt6Q0zS4Gg30nhXXfdhQ0bNqCoqAh//etfsWHDBmzYsAG7\ndu3Cu+++6/PGJElCfX09jEYjZs6cib179/p8TCJPMLOkN8ws6RFzS3rDzJIe9PtFM1FRUYiKisIj\njzyCYcOG4fLLLwcAnDp1Ctu3b0dOTo5PG8vOzobNZkN4eDg2btyI4uJi7N+/36djEnmCmSW9YWZJ\nj5hb0htmlvTA6XkKy8rKsHv3bvl2REQEHnroIVitVp82NnToUPn6jBkz8OMf/xjffPMNYmJiHG7/\n2GOPyddzc3ORm5vr0/4GkpSUpNrYjmitn8bGRlXHr6+vx7Zt2wB495t0Xc1sbGysfD0/Px8FBQVe\n68VVTz/9tGpjOzJ37ly1W7CTmpqq6vgWiwW1tbVer+tqZi9+HtTO7L333qva2I6sWLFC7RbshIeH\nqzq+rzILuJbbOXPmyNfVzuzdd9+t2tiO/PKXv1S7BTvR0dGqjm+xWGCxWHxS25XM3nLLLfJ1tTNb\nXFys2tiOVFZWqt1CH2qfkcGbuXU6KQSAkJDvjjIdNGgQuru7vTL4QFpaWjBixAhIkoQdO3ZACNHv\nCxXAflJINJC8vDzk5eUB6M328uXLvVLX1cwuXLjQK+NS4CsoKLB7YbB48WKv1GVmyVd8lVnAtdwy\ns6QUM0t65M3cOp0UpqamorKyEmVlZRBCYPXq1fj+97/v9oAXzJ49G7W1tTh+/DiSk5OxePFinD9/\nHgBQWlqK9evXY/Xq1QgNDUV4eDjWrl3r8ZhEnmBmSW+YWdIj5pb0hpmlQCAJJ1+H1NLSgvnz56Om\npgYAMHXqVFRUVGDEiBF+aVAJSZJUPyTxYlo7XPPilV4t0NLfKiQkBHFxcX7/VjBJkvyy4q4UDx8d\nmNqHj14qJCQk6DPLw0cHNnz4cLVbsMPM8vBRZ1JSUtRuwY4kSUGfWR4+6lwg5dbpSmFsbCzWrVvn\nVnEiIiIiIiLSNqdLSPv27cPUqVORmZkJANizZw+WLl3q88aIiIiIiIjI95xOCufOnYvy8nJcdtll\nAACDwYD33nvP540RERERERGR7zmdFJ45c8bunISSJCEsLMynTREREREREZF/OJ0UXnnllTh48KB8\ne/369YiPj/dpU0REREREROQfTr9oZtWqVXjwwQfx5ZdfIiEhAampqXj33Xf90RsRERERERH5mNNJ\n4ciRI/HJJ5/g9OnT6OnpwdChQ/3RFxEREREREflBv5PCt99+G3PmzMFLL70ESZL6/Hz48OEoKirC\nsGHDfNogERERERER+U6/nyk8c+YMAKC9vd3hZefOnZgxY4bfGiUiIiIiIiLv63dSWFpaCgBYtGgR\nFi5c2Ofym9/8BoWFhW4PbLPZMGXKFGRmZiIrKwuVlZUOt5s/fz7S0tJgNBphtVrdHo/IU8ws6Q0z\nS3rDzJLeMLMUKPo9fHTevHnydUmSIISQrwNAZWUllixZ4vbAYWFhWLlyJUwmEzo6OjB+/HgUFhYi\nPT1d3qa6uhoHDx7EgQMHsH37dpSVlaGhocHtMYk8wcyS3jCzpDfMLOkNM0uBot+VwvHjx2P8+PH4\n9ttvsXv3bowePRppaWmwWq04d+6cxwPHxcXBZDIBACIjI5Geno5jx47ZbVNVVYWSkhIAQE5ODtra\n2tDS0uLx2ETuYGZJb5hZ0htmlvSGmaVA0e9K4b333gsAWL16NbZs2SKfsL6srAyTJk3yahNHjhyB\n1WpFTk6O3f1NTU1ITk6WbyclJaGxsRGxsbFeHZ/IVcws6Q0zS3rDzJLeMLOkZ05PXt/W1oZTp07J\nt9vb29HW1ua1Bjo6OnD77bejoqICkZGRfX5+4bDVCxx9EyqRPzGzpDfMLOkNM0t6w8yS3jk9T+FT\nTz2F7OxsTJkyBUII1NbWYtGiRV4Z/Pz587jttttwzz33oLi4uM/PExMTYbPZ5NuNjY1ITEx0WGvF\nihXy9dzcXOTm5nqlRwo89fX12LZtGwDXd8rezOzixYvl6/n5+SgoKHCpFwoeFosFtbW1bj2WmSU1\nMLOkNxaLBRaLxa3HMrOkFk9yeylJXPrWhQPHjh3D22+/jbFjx6KzsxMJCQm47rrrPBpYCIGSkhIM\nHz4cK1eudLhNdXU1Vq1aherqajQ0NODRRx91+MFcSZLQ2NjoUT/elJSUpHYLdkJCnC4I+5WW/lYh\nISGIi4vr8w6eI97ObHd3t8f9e8vTTz+tdgt25s6dq3YLdlJTU9VuwU5ISEjQZ/bCRxy04uI3JrVg\n+PDhardgh5kF7r77brVbsPPLX/5S7RbspKSkqN2CnYu/ZHEggZxZRxNcNfX3za5q0mtuHXG6Uvjq\nq6+isrISNpsNZrMZDQ0NyM3NxT/+8Q+3Brxg69ateOeddzBu3DiYzWYAQHl5OY4ePQqg95QYM2fO\nRHV1NUaNGoWIiAi8/vrrHo1J5AlmlvSGmSW9YWZJb5hZChROJ4UVFRX49NNPkZubi5qaGnz55ZdY\nsGCBxwNPmjQJPT09TrdbtWqVx2MReQMzS3rDzJLeMLOkN8wsBQqnxxUOHjwYQ4YMAQCcPXsWY8eO\nxb59+3zeGBEREREREfme05XC5ORktLa2ori4GIWFhRg2bJjmjp8lIiIiIiIi9zidFP7lL38BACxa\ntAgFBQU4deoUpk+f7vPGiIiIiIiIyPecTgovxq/FJSIiIiIiCizaOlcBERERERER+RUnhURERERE\nREGMk0IiIiIiIqIgxkkhERERERFREOOkkIiIiIiIKIipNim02WyYMmUKMjMzkZWVhcrKyj7bWCwW\nREVFwWw2w2w2Y+nSpSp0StSLmSW9YWZJb5hZ0htmlgKFS6ek8KawsDCsXLkSJpMJHR0dGD9+PAoL\nC5Genm63XX5+PqqqqlTqkug7zCzpDTNLesPMkt4wsxQoVFspjIuLg8lkAgBERkYiPT0dx44d67Od\nEMLfrRE5xMyS3jCzpDfMLOkNM0uBQhOfKTxy5AisVitycnLs7pckCfX19TAajZg5cyb27t2rUodE\n9phZ0htmlvSGmSW9YWZJz1Q7fPSCjo4O3H777aioqEBkZKTdz7Kzs2Gz2RAeHo6NGzeiuLgY+/fv\nV6lTol7MLOkNM0t6w8yS3jCzpHeSUHE9+/z587jpppswY8YMPProo063T01Nxa5duxATE2N3vyRJ\n+NnPfibfzs3NRV5entf7Vaqnp0e1sR1JSkpSuwU7kiSpOv7FkY+MjERHR4fiwzq8mdmFCxfKt/Pz\n81FQUKDsF/ABrR3Wsnz5crVbsDN37lxVx9+yZQu2bt0q337hhReYWY1l9rXXXlO7BTt33323quNv\n3rwZdXV18u3y8nLVM1tQUMDMXuTFF19UuwU7JSUlqo5fX1+P+vp6+fZLL73EzGoss48//rjaLfRx\n8fxDDfX19di2bRuA3s+3Llu2zO2/m2qTQiEESkpKMHz4cKxcudLhNi0tLRgxYgQkScKOHTtwxx13\n4MiRI322kyTJ4fHbauGkcGBqTwovFhcXh+bmZkX/gLydWS3lRGs7fk4KBxYTE8PMaiyznBQOLCIi\nQpXMaiknWuoF4KTQmfj4eGZWQ70AnBQ6Ex4ejujoaLf/bqodPrp161a88847GDduHMxmM4DedxKP\nHj0KACgtLcX69euxevVqhIaGIjw8HGvXrlWrXSJmlnSHmSW9YWZJb5hZChSqHj7qLVwpHBhXCvvn\nykqhN3HVZWBcKRyY0pVCb2JmB8aVwoEpXSn0Jq66DIwrhQNTulLoTczswLhSODBPVwo18e2jRERE\nREREpA5OComIiIiIiIIYJ4VERERERERBjJNCIiIiIiKiIMZJIRERERERURDjpJCIiIiIiCiIcVJI\nREREREQUxDgpJCIiIiIiCmKcFBIREREREQUxTgqJiIiIiIiCmGqTwrNnzyInJwcmkwkZGRlYsGCB\nw+3mz5+PtLQ0GI1GWK1WP3dJ9B1mlvSGmSW9YWZJb5hZChShag08ePBg1NTUIDw8HF1dXZg0aRK2\nbNmCSZMmydtUV1fj4MGDOHDgALZv346ysjI0NDSo1TIFOWaW9IaZJb1hZklvmFkKFKoePhoeHg4A\nOHfuHLq7uxETE2P386qqKpSUlAAAcnJy0NbWhpaWFr/3SXQBM0t6w8yS3jCzpDfMLAUCVSeFPT09\nMJlMiI2NxZQpU5CRkWH386amJiQnJ8u3k5KS0NjY6O82iWTMLOkNM0t6w8yS3jCzFAhUO3wUAEJC\nQvDZZ5/h5MmTmDZtGiwWCwoKCuy2EULY3ZYkyWGtl156Sb6em5uLvLw8r/dLgeHiTLW3t7v0WG9m\ndvHixfL1/Pz8PnWILtiyZQu2bt3q1mOZWVLD5s2bUVdX59ZjvZnZRYsWydcLCgqYWepXfX096uvr\n3XosM0tqqa+vx7Zt2wAAYWFhHtVSdVJ4QVRUFG688Ubs3LnTLvyJiYmw2Wzy7cbGRiQmJjqs8bOf\n/czXbVKAuHhHPHToUHR0dLhcwxuZXbhwocvjUnCaNGmS3edTXnjhBZdrMLPkT9dddx2uu+468e/d\n8wAAE1VJREFU+XZ5ebnLNbyR2YtfYBMNJC8vz25B4eLFBqWYWfK3i3MbHh6OZcuWuV1LtcNHjx8/\njra2NgBAZ2cnPv74Y5jNZrttioqK8NZbbwEAGhoaEB0djdjYWL/3SgQws6Q/zCzpDTNLesPMUqBQ\nbaWwubkZJSUl6OnpQU9PD+bMmYOpU6filVdeAQCUlpZi5syZqK6uxqhRoxAREYHXX39drXaJmFnS\nHWaW9IaZJb1hZilQSOLSg5x1SJIkHDt2TO02ZD09PWq3YCcpKUntFuz0dxy9GuLi4tDc3NznWH9f\nkyRJUznR2m5g+fLlardgZ+7cuWq3YCcmJoaZ1VhmX3vtNbVbsHP33Xer3YKdiIgIVTKrpZxoqRcA\nePHFF9Vuwc6Fb+fUivj4eGZWQ70AwOOPP652C31o6eNr4eHhiI6Odvvvpuq3jxIREREREZG6OCkk\nIiIiIiIKYpwUEhERERERBTFOComIiIiIiIIYJ4VERERERERBjJNCIiIiIiKiIMZJIRERERERURDj\npJCIiIiIiCiIcVJIREREREQUxFSbFJ49exY5OTkwmUzIyMjAggUL+mxjsVgQFRUFs9kMs9mMpUuX\n+rSn+vp6r9TZtm2bpupojRBCU3WU0mJmLRZLQNY5dOiQpups2bJFU3WUYmb9V2ffvn2aqrN582ZN\n1VGKmfVfnf/85z+aquOt12DeqqMUM+u/OjabTVN1AP3m1hHVJoWDBw9GTU0NPvvsM+zZswc1NTUO\nXzDl5+fDarXCarXimWee8WlPWpvMBeqkUK+0mNna2tqArKO1Fytbt27VVB2lmFn/1dm/f7+m6tTV\n1WmqjlJazKy3XtBqLbNa28/q9cU1M+u/OlqcFAbSa35VDx8NDw8HAJw7dw7d3d2IiYnps42/V4OI\nBsLMkt4ws6Q3zCzpDTNLgSBUzcF7enqQnZ2NQ4cOoaysDBkZGXY/lyQJ9fX1MBqNSExMxPLly/ts\nc0FoqOe/SkhIiNfqhIWFaaZOfHw84uPjPa7T3NzstToJCQke1zl27JjHda644go0Nzcr3t6bmaX+\nRUZGIjY2VjN1WltbMWjQII/rSJLklTquYGb9Izw8HFdccYVm6nz11VeQJMnjOpIkeaWOK5hZ/4iI\niPDK/tFbdU6cOKGp13KuYGb94/LLL0diYqJm6gC9r2m1kluPX18IDWh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},
{
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zBujWDejRAxg9mgkhEZEzgoKC0LJlS7Rs2RLh4eEICQlBUFCQ1YSwtrj0SIon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\nIUSHX6C77p0UEnXn3kmpn58fmpubzXqevTN774afqDvh4eEIDw83LBc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MNjU1GbKq0+nQ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\nmgAAAABJRU5ErkJggg==\n"
},
{
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l5ZmGjIwMZGVluT2eC4UX6vzN8auvAs8+y9NGiYgaG6cuNLN//34cOXIEycnJ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\ncmP/HxRkzfgmZrFYAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And, once again, you don't see this kind of global structure if you turn off pragmatics:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"run_and_plot(m, ambig_2way_prior(m), s_depth=0, S0_length_prior=[0.6, 0.3, 0.1, 0, 0, 0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
".."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"...."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"....."
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA4UAAAF0CAYAAACUgZw1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n48ZJMqexfPzxx/r3v/+ta665psb3FhQUKCEhwfE4Pj5e27Zt
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