{ "cells": [ { "cell_type": "markdown", "id": "ec2f5708", "metadata": {}, "source": [ "---\n", "format:\n", " html:\n", " other-links:\n", " - text: This notebook\n", " href: A9.ipynb\n", "---\n", "\n", "# A9: Latent Semantic Analysis\n", "\n", "- Complete the following and submit to Canvas before Dec 10, 11:59pm,\n", "- Late work will recieve 0%,\n", "- Each assignment is worth the same, \n", "- Please get in contact with the instructor in plenty of time if you need help,\n", "- Before submitting your work, make sure to check everything runs as expected. Click **Kernel > Restart Kernel and Run All Cells**.\n", "- Feel free to add more cells to experiment or test your answers,\n", "- I encourage you to discuss the course material and assignment questions with your classmates. You may complete this assignment in groups of at most 2 - please clearly state who you are working with,\n", "- The use of GenAI is prohibited as outlined in the course syllabus. If I suspect you of cheating, you may be asked to complete a written or oral exam on the content of this assignment. " ] }, { "cell_type": "code", "execution_count": 1, "id": "10e6fcc6", "metadata": {}, "outputs": [], "source": [ "# using Pkg\n", "# Pkg.add(\"HTTP\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "444bd567", "metadata": {}, "outputs": [], "source": [ "using LinearAlgebra\n", "using Plots\n", "using LaTeXStrings\n", "using HTTP" ] }, { "cell_type": "markdown", "id": "67e7636b", "metadata": {}, "source": [ "In the last lecture, we saw that Singular Value Decoposition (SVD) can be used to reduce the rank of a matrix (and its application to image compression). In this assignment, you will also see that this dimension reduction can be used to find underlying trends in data. By removing the \"noise\", one obtains a lower dimensional representation containing important relationships in the data.\n", "\n", "In this assignment you will use Singular Value Decomposition to analyse text data (this is known as Latent Semantic Analysis). \n", "\n", "From a collection of \"documents\", one builds a large matrix $A\\in \\mathbb R^{m\\times n}$, called the *document-term matrix*, where the rows represent each unique word in all the documents, and columns represent each document. We will let $A_{ij}$ equal to the number of times word $i$ appears in document $j$ divided by the total number of words in document $j$ (that is, the proportion of the words in document $j$ that are equal to $i$). \n", "\n", "1. Form the document-term matrix for the following \"documents\":\n", "\n", "Document 1: \"the quick brown fox\" \n", "Document 2: \"jumped over the\" \n", "Document 3: \"lazy dog\" \n", "Document 4: \"the quick brown fox jumped over the lazy dog\"\n", "\n", "Hint: this matrix is $8 \\times 4$ because there is 8 unique words and 4 documents" ] }, { "cell_type": "code", "execution_count": 3, "id": "7963cbea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8×4 Matrix{Float64}:\n", " 0.25 0.333333 0.0 0.222222\n", " 0.25 0.0 0.0 0.111111\n", " 0.25 0.0 0.0 0.111111\n", " 0.25 0.0 0.0 0.111111\n", " 0.0 0.333333 0.0 0.111111\n", " 0.0 0.333333 0.0 0.111111\n", " 0.0 0.0 0.5 0.111111\n", " 0.0 0.0 0.5 0.111111" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Answer here:\n", "\n", "# TF-IDF\n", "\n", "[1/4 1/3 0 2/9 ;\n", " 1/4 0 0 1/9 ;\n", " 1/4 0 0 1/9 ;\n", " 1/4 0 0 1/9 ;\n", " 0 1/3 0 1/9 ;\n", " 0 1/3 0 1/9 ;\n", " 0 0 1/2 1/9 ;\n", " 0 0 1/2 1/9 ]" ] }, { "cell_type": "markdown", "id": "14fa68a9", "metadata": {}, "source": [ "In this assignment, you will analyse text data coming from classic books by various authors. To do this, we have a number of text files (freely available online) and we use the following code to read these files into Julia:" ] }, { "cell_type": "code", "execution_count": 4, "id": "0f625403", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"You will rejoice to hear that no disaster has accompanied the\\r\\ncommencement of an enterprise which you have regarded with such evil\\r\\nforebodings. I arrived here yesterday, and my first task is to assure\\r\\nmy dear sister of my welfare and increasing confidence in the success\\r\\nof my undertaking.\\r\\n\\r\\nI am already far north of London, and as I walk in the streets of\\r\\nPetersburgh, I feel a cold northern breeze play upon my cheeks, which\\r\\nbraces my nerves and fills me with\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "function getText( file )\n", " response = HTTP.get( file )\n", " if response.status == 200\n", " return String(response.body) \n", " else\n", " println( \"Failed to fetch file. HTTP status: \", response.status )\n", " end\n", "end\n", "\n", "t = getText( \"https://www.gutenberg.org/cache/epub/84/pg84.txt\" )\n", "t[1532:2000]" ] }, { "cell_type": "markdown", "id": "02cabb9b", "metadata": {}, "source": [ "This is \"Frankenstein\" (1818 gothic horror story by Mary Shelley). Notice that the text document contains new line characters (\\r\\n) so we use the following code to remove them:" ] }, { "cell_type": "code", "execution_count": 5, "id": "2d31de67", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"You will rejoice to hear that no disaster has accompanied the commencement of an enterprise which you have regarded with such evil forebodings I arrived here yesterday and my first task is to assure my dear sister of my welfare and increasing confidence in the success of my undertaking I am already far north of London and as I walk in the streets of Petersburgh I feel a cold northern breeze play upon my cheeks which braces my nerves and fills me with del\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = replace( t , r\"[^A-Za-z0-9' ]\" => \" \")\n", "t[1528:2000]" ] }, { "cell_type": "markdown", "id": "10541643", "metadata": {}, "source": [ "We also want the word \"You\" to be the same as the word \"you\", so we make all the letters lowercase and split the string into an array of words:" ] }, { "cell_type": "code", "execution_count": 6, "id": "17c33219", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "78560-element Vector{SubString{String}}:\n", " \"the\"\n", " \"project\"\n", " \"gutenberg\"\n", " \"ebook\"\n", " \"of\"\n", " \"frankenstein\"\n", " \"or\"\n", " \"the\"\n", " \"modern\"\n", " \"prometheus\"\n", " ⋮\n", " \"to\"\n", " \"our\"\n", " \"email\"\n", " \"newsletter\"\n", " \"to\"\n", " \"hear\"\n", " \"about\"\n", " \"new\"\n", " \"ebooks\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "text = split.( lowercase( t ) )" ] }, { "cell_type": "markdown", "id": "7e6c46af", "metadata": {}, "source": [ "Notice that the book doesn't start/end at the beginning/end of the file because there is some extra text. We can remove this:" ] }, { "cell_type": "code", "execution_count": 7, "id": "6eca3ef8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "75394-element Vector{SubString{String}}:\n", " \"frankenstein\"\n", " \"or\"\n", " \"the\"\n", " \"modern\"\n", " \"prometheus\"\n", " \"by\"\n", " \"mary\"\n", " \"wollstonecraft\"\n", " \"godwin\"\n", " \"shelley\"\n", " ⋮\n", " \"by\"\n", " \"the\"\n", " \"waves\"\n", " \"and\"\n", " \"lost\"\n", " \"in\"\n", " \"darkness\"\n", " \"and\"\n", " \"distance\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx_start = findfirst( ==(\"start\"), text)+11\n", "idx_end = findall( ==(\"end\"), text)[end]-1\n", "text = text[idx_start:idx_end]" ] }, { "cell_type": "markdown", "id": "e39a588a", "metadata": {}, "source": [ "Here are some useful functions: \n", "\n", "```unique``` - gives the array of unique elements \n", "```count``` - counts the number of elements of an array that satisfies the given condition \n", "```findfirst``` - gets the index of the first appearence of a particular entry \n", "```findall``` - gets the array of indices corresponding to the particular entry" ] }, { "cell_type": "markdown", "id": "8363818d", "metadata": {}, "source": [ "2. How many words does (this version of) \"Frankenstein\" have? How many of these words are unique? How many times does \"mathematics\" appear in \"Frankenstein\"? " ] }, { "cell_type": "code", "execution_count": 8, "id": "b84e323f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "unique( text ) \n", "count( ==(\"frankenstein\"), text )\n", "findfirst( ==(\"frankenstein\"), text )\n", "\n", "# text[12247:12260]\n", "# text[26547-5:26547+5]" ] }, { "cell_type": "markdown", "id": "d47435d4", "metadata": {}, "source": [ "In the following, we consider various classic books, short stories, and some of my own text. By considering the SVD of the document-term matrix, we should be able to tell them apart! Here, we define the documents, where to find them, and partially categorise them based on author/theme." ] }, { "cell_type": "code", "execution_count": 9, "id": "29626e1c", "metadata": {}, "outputs": [], "source": [ "DOCS=[\n", "[\"Frankenstein\" \"https://www.gutenberg.org/cache/epub/84/pg84.txt\" \"red\"], \n", "[\"Dracula\" \"https://www.gutenberg.org/cache/epub/345/pg345.txt\" \"red\"], \n", "[\"Dr. Jekyll and Mr. Hyde\" \"https://www.gutenberg.org/cache/epub/43/pg43.txt\" \"red\"], \n", "# Edgar Allan Poe\n", "[\"Edgar Allan Poe I\" \"https://www.gutenberg.org/cache/epub/2147/pg2147.txt\" \"blue\"], \n", "[\"Edgar Allan Poe II\" \"https://www.gutenberg.org/cache/epub/2148/pg2148.txt\" \"blue\"], \n", "[\"Edgar Allan Poe III\" \"https://www.gutenberg.org/cache/epub/2149/pg2149.txt\" \"blue\"], \n", "[\"Edgar Allan Poe IV\" \"https://www.gutenberg.org/cache/epub/2150/pg2150.txt\" \"blue\"], \n", "[\"Edgar Allan Poe V\" \"https://www.gutenberg.org/cache/epub/2151/pg2151.txt\" \"blue\"], \n", "# Sherlock Holmes stories\n", "[\"Adventures of Sherlock Holmes\" \"https://www.gutenberg.org/cache/epub/1661/pg1661.txt\" \"green\"], \n", "[\"Hound of the Baskervilles\" \"https://www.gutenberg.org/cache/epub/2852/pg2852.txt\" \"green\"], \n", "[\"A Study in Scarlet\" \"https://www.gutenberg.org/cache/epub/244/pg244.txt\" \"green\"], \n", "[\"The Sign of the Four\" \"https://www.gutenberg.org/cache/epub/2097/pg2097.txt\" \"green\"], \n", "[\"Return of Sherlock Holmes\" \"https://www.gutenberg.org/cache/epub/108/pg108.txt\" \"green\"], \n", "[\"Memoirs of Sherlock Holmes\" \"https://www.gutenberg.org/cache/epub/834/pg834.txt\" \"green\"], \n", "[\"His last bow\" \"https://www.gutenberg.org/cache/epub/2350/pg2350.txt\" \"green\"], \n", "[\"The case-book of Sherlock Holmes\" \"https://www.gutenberg.org/cache/epub/69700/pg69700.txt\" \"green\"], \n", "# Shakespeare\n", "[\"Romeo and Juliet\" \"https://www.gutenberg.org/cache/epub/1513/pg1513.txt\" \"purple\"], \n", "[\"Hamlet\" \"https://www.gutenberg.org/cache/epub/1524/pg1524.txt\" \"purple\"], \n", "[\"Macbeth\" \"https://www.gutenberg.org/cache/epub/1533/pg1533.txt\" \"purple\"], \n", "[\"Tempest\" \"https://www.gutenberg.org/cache/epub/23042/pg23042.txt\" \"purple\"], \n", "[\"A Midsummer Night's Dream\" \"https://www.gutenberg.org/cache/epub/1514/pg1514.txt\" \"purple\"], \n", "# JT math \n", "#[\"math text\" \"https://jack.thomaslabs.co.uk/text/research.txt\" \"black\"]#, \n", "#[\"math text NEW\" \"https://jack.thomaslabs.co.uk/text/abstracts.txt\" \"black\"]\n", "];" ] }, { "cell_type": "markdown", "id": "fdca385e", "metadata": {}, "source": [ "We form the document-term matrix using these documents and all words that appear more than once in a document: (this takes around a minute to run on my (old) machine)" ] }, { "cell_type": "code", "execution_count": 10, "id": "0e2734b0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "17216 x 21 matrix\n" ] }, { "data": { "text/plain": [ "22-element Vector{Any}:\n", " [\"col#\", \"title\", \"words\", \"unique words\", \"colour\"]\n", " Any[1, \"Frankenstein\", 75091, 6999, \"red\"]\n", " Any[2, \"Dracula\", 163424, 9296, \"red\"]\n", " Any[3, \"Dr. Jekyll and Mr. Hyde\", 25642, 3907, \"red\"]\n", " Any[4, \"Edgar Allan Poe I\", 91808, 9408, \"blue\"]\n", " Any[5, \"Edgar Allan Poe II\", 96880, 10234, \"blue\"]\n", " Any[6, \"Edgar Allan Poe III\", 101015, 9070, \"blue\"]\n", " Any[7, \"Edgar Allan Poe IV\", 88742, 10320, \"blue\"]\n", " Any[8, \"Edgar Allan Poe V\", 74661, 9788, \"blue\"]\n", " Any[9, \"Adventures of Sherlock Holmes\", 105679, 7874, \"green\"]\n", " ⋮\n", " Any[13, \"Return of Sherlock Holmes\", 113853, 7957, \"green\"]\n", " Any[14, \"Memoirs of Sherlock Holmes\", 96649, 7431, \"green\"]\n", " Any[15, \"His last bow\", 59734, 6044, \"green\"]\n", " Any[16, \"The case-book of Sherlock Holmes\", 83557, 7516, \"green\"]\n", " Any[17, \"Romeo and Juliet\", 26523, 3555, \"purple\"]\n", " Any[18, \"Hamlet\", 32636, 4535, \"purple\"]\n", " Any[19, \"Macbeth\", 18827, 3193, \"purple\"]\n", " Any[20, \"Tempest\", 23953, 3931, \"purple\"]\n", " Any[21, \"A Midsummer Night's Dream\", 17493, 2881, \"purple\"]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "function getText( file )\n", " response = HTTP.get( file )\n", " if response.status == 200 \n", " txt = lowercase( replace( String(response.body) , r\"[^A-Za-z0-9' ]\" => \" \") ) \n", " if ( file[13:21] == \"gutenberg\" )\n", " # we remove the start and end - gutenberg has extra text that is not part of the book\n", " return split.( txt[1000:end-20500] ) \n", " else\n", " return split.( txt )\n", " end\n", " else\n", " println( \"Failed to fetch file. HTTP status: \", response.status )\n", " end\n", "end\n", "\n", "INFO = []\n", "\n", "# documents\n", "n = length( DOCS )\n", "\n", "# words\n", "wordDocFreq = []\n", "for doc ∈ DOCS\n", " text = filter( !isempty, getText( doc[2] ) )\n", " for t ∈ unique(text) \n", " c = count(w->w==t, text)\n", " if c>1\n", " push!( wordDocFreq, [ t findfirst(==(doc), DOCS) c ])\n", " end\n", " end\n", " push!( INFO, [findfirst(==(doc), DOCS), doc[1], length(text), length(unique(text)), doc[3]] )\n", "end\n", "WORDS = unique( [wordDocFreq[i][1] for i ∈ 1:length(wordDocFreq)] )\n", "m = length( WORDS )\n", "\n", "A = zeros( m, n )\n", "for i ∈ wordDocFreq\n", " # i = [word documentNumber frequency]\n", " w = findfirst(==(i[1]), WORDS) \n", " A[ w , i[2] ] = i[3]/INFO[ i[2] ][3]\n", "end\n", "\n", "println(\"$m x $n matrix\")\n", "pushfirst!( INFO, [\"col#\" , \"title\" , \"words\" , \"unique words\", \"colour\"] )" ] }, { "cell_type": "markdown", "id": "e5c3c38d", "metadata": {}, "source": [ "$A$ is a large matrix with values in $[0,1]$:" ] }, { "cell_type": "code", "execution_count": 11, "id": "ee5555b8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "17216×21 Matrix{Float64}:\n", " 0.00234382 0.002827 0.00206692 … 0.00296414 0.00360144\n", " 0.0556392 0.0482732 0.0622806 0.0281802 0.0326988\n", " 0.000146489 0.0 0.0 0.0 0.0\n", " 0.00608595 0.00316967 0.00483582 0.00413309 0.00388727\n", " 2.66344e-5 1.22381e-5 0.000389985 0.0 0.0\n", " 0.00042615 0.000403857 0.000623976 … 0.0 0.0\n", " 5.32687e-5 9.79048e-5 0.0 0.00112721 0.0\n", " 5.32687e-5 9.17858e-5 0.0 0.000709723 0.0\n", " 5.32687e-5 7.95477e-5 0.0 0.000500981 0.0\n", " 5.32687e-5 8.56667e-5 0.0 0.000292239 0.0\n", " ⋮ ⋱ ⋮\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 … 0.0 0.000114331\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 0.0 0.000114331\n", " 0.0 0.0 0.0 … 0.0 0.000114331" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A" ] }, { "cell_type": "markdown", "id": "d4b00788", "metadata": {}, "source": [ "3. Notice that ```WORDS``` is the list of unique words in the documents. Choose a word. Where does it appear in ```WORDS```? In which document does your word appear with the highest frequency? Hint: You can use the ```findfirst``` and ```argmax``` functions." ] }, { "cell_type": "code", "execution_count": 12, "id": "afd50a04", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"Edgar Allan Poe III\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx = findfirst(i->i==\"water\", WORDS)\n", "A[ idx, : ]\n", "DOCS[ argmax( A[ idx, : ] ) ][1]" ] }, { "cell_type": "markdown", "id": "48b79ec8", "metadata": {}, "source": [ "We now find the SVD of $A$ and plot the singular values. " ] }, { "cell_type": "code", "execution_count": 13, "id": "3dfbd9a8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.07774261693164833" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P, σ, Q = svd(A)\n", "# scatter( σ, xlabel=L\"j\", ylabel=L\"\\sigma_j\", legend=false )\n", "σ[2]" ] }, { "cell_type": "markdown", "id": "52256bc4", "metadata": {}, "source": [ "Recall, that $A = P \\Sigma Q^T$ where $P,Q$ are orthogonal matrices and $\\Sigma$ is diagonal with decreasing positive values on the diagonal. Because $m > n$, we have\n", "\n", "\\begin{align}\n", " A = \\sum_{j=1}^n \\sigma_j u_j v_j^T\n", "\\end{align}\n", "\n", "where $u_j$ is the $j^\\text{th}$ column of $P \\in \\mathbb R^{m\\times m}$ and $v_{j}$ is the $j^\\text{th}$ column of $Q \\in \\mathbb R^{n\\times n}$. If we truncate this summation at $j=k$, we have \n", "\n", "\\begin{align}\n", " A &\\approx \\sum_{j=1}^k \\sigma_j u_j v_j^T \\nonumber\\\\\n", " %\n", " &= \\begin{pmatrix}\n", " \\vdots & \\vdots & & \\vdots \\\\\n", " u_1 & u_2 & & u_k \\\\\n", " \\vdots & \\vdots & & \\vdots \n", " \\end{pmatrix}\n", " \\begin{pmatrix}\n", " \\sigma_1 &&\\\\\n", " &\\ddots&\\\\\n", " &&\\sigma_k\n", " \\end{pmatrix}\n", " \\begin{pmatrix}\n", " \\dots & v_1 &\\dots \\\\\n", " \\dots & v_2 &\\dots \\\\\n", " \\\\\n", " \\dots & v_k &\\dots \\\\\n", " \\end{pmatrix}\n", "\\end{align}" ] }, { "cell_type": "markdown", "id": "be0395d4", "metadata": {}, "source": [ "4. Why is truncating this summation justified? " ] }, { "cell_type": "markdown", "id": "989b7bbb", "metadata": {}, "source": [ "Now, one can view the rows of $W := P \\Sigma$ and columns of $D := \\Sigma Q^T$ as representations of the words and documents, respectively. By truncating $\\Sigma$ to the first $k$ largest singular values, we have therefore obtained lower dimensional resprentations of the words and documents. Here, we define $W$ and $D$:" ] }, { "cell_type": "code", "execution_count": 14, "id": "a898cb5d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3×21 Matrix{Float64}:\n", " -0.101123 -0.092643 -0.104154 … -0.0731026 -0.0628756 -0.0723544\n", " 0.00355785 0.0107309 -0.00611138 0.0198009 0.0229647 0.0288322\n", " -0.00718991 0.00608636 0.00218538 -0.0123911 -0.0102278 -0.011949" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 3\n", "W = σ[1:k]' .* P[:,1:k]\n", "D = σ[1:k] .* Q[:,1:k]'" ] }, { "cell_type": "markdown", "id": "d7dda632", "metadata": {}, "source": [ "Just by plotting the first one, two, or three dimensions in this *latent* space, one can see patterns in the data:\n", "\n", "5. Here, we plot ```D[1,i]``` for each document $i$. Explain what you see in this plot? " ] }, { "cell_type": "code", "execution_count": 15, "id": "793ac5d9", "metadata": {}, "outputs": [ { "data": { "image/png": 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Plot the first 2 dimensions in the matrix $D$. What do you notice about the plot?" ] }, { "cell_type": "markdown", "id": "28e13fb8", "metadata": {}, "source": [ "We may compare different words and documents by comparing the corresponding rows of $W$ and columns of $D$. One normally compares these vectors using the *cosine similarity*: for two documents $d,d'$, let $u, u'$ be the corresponding columns of $D$ and define the cosine similarity between $d$ and $d'$ as \n", "\n", "\\begin{align}\n", " \\frac\n", " {u \\cdot u'}\n", " {|u| |u'|}\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 16, "id": "d3e02c50", "metadata": {}, "outputs": [], "source": [ "function cs( i, j )\n", " u = D[:,i] \n", " u′ = D[:,j]\n", " return dot( u, u′ ) / ( norm(u) * norm(u′) )\n", "end;" ] }, { "cell_type": "markdown", "id": "d506dd1e", "metadata": {}, "source": [ "7. What are the possible values of the cosine similarity?" ] }, { "cell_type": "markdown", "id": "6e8c67f1", "metadata": {}, "source": [ "Here, we view the *similarity matrix*:" ] }, { "cell_type": "code", "execution_count": 17, "id": "ad4e0516", "metadata": {}, "outputs": [ { "data": { "image/png": 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WiYyMtLR8OlB66tSpX375xd/fv3///hzHYYwQAADYERfU6/r6ayUlJS+99NLGjRvv3LkTEhJy9uzZKhUqKip69eq1YsWKjIyMESNGrFixQizftWvXvHnztv6uuLhYLI+NjR09enRaWtq777779ttvE1qEAADAkj5do9W9+dNPPymVyr1798pkMk9Pz4ULF/73v/+tXGHz5s05OTk3btyQyWQjR47s1atXTEyMhYUFEYWFha1evbpy5cLCwi+++CI+Pj4oKGjmzJk+Pj5z5sxBixAAANjh9Xr9tQMHDgwaNEgmkxHR4MGDDx8+rFarK1dISkpq27atWCEgIKCgoODcuXPiWxkZGVu2bDl16pRGoxFLzp07Z2NjExQURESurq6hoaGHDh1CIgQAgPorLS3N3d1dvHZ3d9doNI8fP65cwdfX9+rVq2Kqu3r1akVFRVpaGhGZmJgUFxfv3r07JiYmJCQkJyeHiNLT07XRiMjNzS09PR1dowAAwI4g6DoL9EkBf+XKlSlTplQujIiIGDp06O8h/xSwypfDhw//5ptvevXq1alTp/j4eDc3N7lcTkQzZ86cOXMmEanV6oiIiC+//DI2NlYQhMq3cxwnCAISIQAAsFNTV+ezTOWcra1tcHBw5UIPDw/xws3NLTMzU7x+/PixTCZzcXGpXNPExOTUqVNHjx7NycmZM2dOu3btfHx8KldQKBSvvPLK0aNHxWiVG5SPHj3q06cPEiEAABiStRk1b9588uTJz303IiJi3bp1H3zwAcdx+/bt6927t1KpJKKMjAxLS0sbGxsiUigU/fv3J6LNmzebm5uHhIRUCXL27Flvb28i6tq1a3Z29o0bNwICArKzsxMSEn744QckQgAAYEfQuUVY/azR119/fdmyZSNGjPD39//222+3b98ulkdFRY0cOXLGjBlE9PLLLwcHB6elpe3cuXP79u1iphwwYIC3t7eTk9OZM2du3bp1/vx5IrKxsZk1a9aQIUPeeOONXbt2DR8+3NfXF5NlAACAGYHX+VV9IrS0tPzf//4XFhZmY2Nz6tSpPn36iOWLFi2KjIwUr6dNm2ZlZRUUFHTt2rW+ffuKhV988UXbtm3Nzc1jYmLu3Lnj5eUlln/66af//Oc/FQrFvHnz1q5dS1hHCAAALOnRIqypvq2tbZWpNEQUHh6uvY6MjNQmRa2goCBxmcSzBgwYMGDAAO2XaBECAIBRQ4sQAADY0X3WaPVdo3Wg7hKh0+slbo5l0uOUBo6QHuStzF+kByGi1z9qLz2ImTWDk1qJiGNxyKqFx17pQYioPNdaehCzJZ9ID0JEgqCRHqSi/In0IESkNHWSHkTGmUgPQkSCoK65Us04FkFILmfwTa1rc1x6ECKK6n6aQRQ2Hwxlp6dKD1LI4njq4KOTaq7Ec8Tr+J0LjD4pfaFrFAAAjBq6RgEAgBlB4AQdW3iGPo4QiRAAABh6AbNGXzQkQgAAYIcnjBECAAA0JGgRAgAAM4IgE3jdmliCoQcJkQgBAIAdPZZPGHqMEF2jAABg1NAiBAAAdgRO98kvBp4sg0QIAADMCDwJOneNYtYoAACA4aBFCAAA7Agy0nHWqMHXESIRAgAAOzyna9eorluyMYdECAAA7OgxWcbQe41ijBAAAIwaWoQAAMCMIHA67yyj65gia3WXCDU29ho7BuejEoujRDUO/tKDEJGD/ynpQeTWJdKDEBEnY9C/IHNj8yOhUD2WHkTg5NKDEJFMxuDEV87URXoQIpLJlNKDcKz6cph8wozGdzSaculBVGVsjiyuKDWVHkRhyuA7IqLSMgYPU1RqJj1IrehzMO+LeZJaQ9coAAAYNXSNAgAAM4KAWaMAAGDEBEEmCI13HaEgCKmpqSYmJi4uTwdLeJ5/8OCBtoKdnZ2DgwPb5wMAgIakER/M+/XXXzs4OPj4+EyfPl1bWFRU5OvrGx4eHhERERER8a9//evFPCQAAMCLUtsW4YABA1577bW4uLgbN25Ueev27dtKJYOJcAAA0NAJeuwsY+hNt2ubCNu0afNXb929e1epVHp7eysUGHEEADByMtJ1jNDQxzBJXT5hbm4+cuTIfv36tWjR4syZM39VrbS0VK1msP4PAACALUltOAsLi8zMTCsrK0EQvvjii+jo6OTkZJnsOck1Jyenwq6CiM1aVwAAqHs8zz/3N/yfK+nVNVpt1PLy8kOHDuXm5oaFhbm5uT0ngiCcOHHi4cOHoaGhrVu3Fgs1Gs358+eTkpJcXFz69OmjHcI7ceJERUWFeO3i4tKuXTtJiVAul1tZWRERx3HTp0//8MMPU1JSmjVr9mxNd3d3c3NzIhY7ywAAgCHUnAX1O5i32lmj5eXlvXr1UigUvr6+77zzzqFDh4KDgytX0Gg0kZGRubm5nTp1mj9//meffRYTE0NEvXr1Ki4ubt++/bVr18rKyk6dOmVvb09Ef/vb31q2bGlhYSHWkZoIK7t3755MJnN0dGQVEAAAGiDGp09s27atuLj44sWLCoXi888//+yzz3bt2lW5wtatW+/fv3/r1i2lUjlu3LjIyMjRo0ebmpquX7++RYsWRMTzfKdOndauXTt79mzxlvXr1/v5+Wkj1DYRXr58+eDBg6dPn378+PGSJUuCg4PDw8O3bt2amJjYrl27nJycv//97//3f/9naWmp07cPAABQjb1790ZFRYmTMf/2t799+umnGo1GLv9jm9zbt2937NhR7PkMCgpSqVRnz57t06ePmAWJSCaTubq6lpf/sfXrpUuXUlJS2rVr5+TkRLpOlgkLC3v99de1XwYGBpqYmBw6dOju3btff/318uXLJXyzAADQ4Am8TOdXtbNM09LS3N3dxeumTZuq1erHj/+0p3+zZs1u3rzJ8zwR/frrrxUVFWlpaZUrnD9//vTp09HR0eKXDg4O69ev/+yzz3x8fH744QeqfYswMDAwMDCwSqGfn9/ChQtrGQEAABo9QeB03TtUVcrfvHtz3rx5lQt79+49YMAAIlKr1dr2n3hRZQ3CiBEj/v73v7/yyitdunTZvXu3i4uLIPzR2Xr//v1hw4Z988033t7eYsmtW7fEOIcPHx40aNCgQYOw8g8AAAxJRqRUKsWZLFrahenu7u6ZmZni9ePHjzmOc3V1rVzT3Nw8ISFh9+7dKpVq+/btnTt39vHxEd9KTk4ODw//8MMPR40apa2vTasRERE2NjY3b95EIgQAAGb02FnGxkTu5+c3d+7c577bu3fvrVu3vv/++0R06NChbt26mZiYEFF+fr6pqampqSkRmZmZDR8+nIh2797NcVxISAgRpaamhoWF/d///d+UKVOeGzk5OTknJ8fT07PuEqGgNOdNGRy/yMnNpQchgc1BkJycrydBiIhYHMxLCjZn4RKLTfc4js15mRyTfSs4NptfMDtTlwkm3xOzU1UZBLJWstm4w8SiVHoQVgfzmpsxeJgKdV39thc40vXE+WoT5+jRo2NjY2NiYlq2bLlkyZJ///vfYnlERMTIkSNnzJhBRNHR0UFBQenp6Rs2bPj3v/8tZsfXXnutpKTk7t27YiLs3r37G2+8ceTIke+++y4kJKSkpGTdunVjx45t0aIFWoQAAMCO7mOEQrV/kdna2l64cGH9+vX5+fn79+/v3LmzWD5//nztvNBXX331+vXrjo6OCQkJ/v7+YuHMmTMLCgq0ccQ17sHBwa+88sq9e/dMTU3/9a9/9e/fn3AeIQAA1HPOzs5z5sypUhgVFaW9Hjly5LN3PbfQ3t5+/PjxVQqRCAEAgJnGfPoEAABAjQTSuWvU4OrTuD0AAECdQ4sQAACYEXhO0HHWqK71mUMiBAAAZvTYWab6WaN1AIkQAACY0WOyDDFaSq03jBECAIBRQ4sQAAAYQtcoAAAYM56rfsu0599iUOgaBQAAo4YWIQAAMCMIXPUH7T73lhf0MLWERAgAAMxg+QQAABg1QcDyCQAAgAYFLUIAAGAGXaPV4cqLZaUa6XE0AoMggrqg5kq1oC4wZxCFY3PCN8fihHpZIYOzsIlIKGDQ2cAxOvtcYBGH5yukByEimZzBPzqOY9SXw+xweQY4jsEno2E07YLXMPiENRVsfsHyLLbiZBKkNgSBeF0ToaEny6BrFAAAjBq6RgEAgBlBkOl8+oShW4RIhAAAwIw+Y4SGToToGgUAAKOGFiEAADCjR4vQ4JO2kAgBAIAZgSddF9QbvGsUiRAAANjBGCEAAEDDghYhAAAwI+h+MK/BIRECAAAzgiDT/RgmA/dNomsUAACMGlqEAADADM9zvK6zRnU9tok1JEIAAGBH0HkWaI3LCHmeP3PmTG5ubo8ePezs7J5b55dffnn48GFQUJCnp6e2sKys7OTJkzzP9+zZ09z8jzMSkpKSrly50rJlyzZt2hC6RgEAgCFxsoyur2oCqtXq/v37T5s2be3atS1btrx+/XqVCjzPDxs27I033ti+fXtISMjmzZvFcpVKFRQUtGjRoqVLl3bo0CEzM1MsX79+fZcuXbZs2RIREfH5558TEiEAANRnO3fuTE1NTUhI2LFjx6RJkz799NMqFXbs2HHhwoXExMS4uLgdO3bMnj27oqKCiL799ttmzZodO3bsyJEjHTp0+Oc//0lEZWVlc+fO3bx586ZNm44fP/7FF19kZmYiEQIAADN6NAerbxHu3LnztddeMzU1JaLo6Ojdu3fzPF+5wvXr10NDQ83MzIioa9euWVlZ586dI6Jdu3ZFR0dzHCfeuGPHDiI6e/asTCbr06cPEfn5+XXo0GH//v11N0bIWzlqbBmMiMoUlgwehsXpvkSksCmWHkRuWyI9CBGxOeTZxopFFJJREZswTHAsfvBYHBtLjM7UFQS+5kq1wLH4hAVi8zC8UC49iINpmfQgRGRmWyg9iNyMwXdERJYqGxZh6mhCCi9wOh/MW+27qamp3bt3F6+9vLzKy8szMzNdXV21FTw8PHbs2CEIAsdxSUlJFRUVKSkp4o3a8UIvL6+0tDQiSktLa9q0Kff77wRPT8/U1FRMlgEAAEMqVGvu3r27ZMmSyoWdOnUS223l5eVKpVIsFC/Kyv705050dPSSJUuio6O7du26adMmR0dHtVot3qhQKLQ3indVLtSWo2sUAACY0aNfVM0L5eXlqj8rKCgQA7q5uWVlZYnXmZmZHMdVbg4SkZWV1aVLl8LDw8vLy9etW6dUKn18fMQbnzx5ItbJyspyc3MjIldXV22hWO7u7o4WIQAAsKP78glbhUmAX8svv/zyue927979v//977x584goPj4+NDRUHC/keZ7jOLGT09raetKkSUR0+PDh8vLykJAQIurWrVt8fPyQIUOI6OjRo2L/amhoaGpqanJycrNmzYqLi8+fP79s2TIkQgAAYEafLdaqHb8cO3ZsbGzsrFmzWrZsuWDBglWrVonlXbt2HTly5IwZM4hoypQpHTt2fPTo0YoVK1atWiUuGZw+fXrXrl09PDyUSuWqVauOHTtGRE5OTuPGjRsxYsTUqVN/+umnHj16tG/fHl2jAABQfzk4OCQkJJibm1+/fv3HH3987bXXxPLp06f36NFDvA4KCrp27VpRUdHhw4eHDx8uFrZp0+bUqVNZWVlpaWnHjh0LCgoSy1euXBkTE3P+/Pl+/fpt27aNsLMMAAAwxAvst1jz8vJatGhRlcJRo0Zpr6dMmfLcG9u3b//VV19VKZTL5ZMmTRK7UkVIhAAAwEyN6wKfc8sLepRaQ9coAAAYNbQIAQCAHT1ahIY+yBeJEAAAmOEF0nlnGSRCAABoNMTTJ3S8xcAwRggAAEYNLUIAAGBGIK76BfLPg65RAABoLATdT5/QtT5z6BoFAACjhhYhAAAwo8eCejJ0i7DuEqHAyQQW56PyxanSgyitfKUHISJlCxYH/FrZMwhCJMgYtO81Tu7SgxCRLC9HehC1ukB6ECKSy81ZBDGVHoSINBoGJ8fyglp6ECKSyZQMoghsJv1VlGVJD3Inn83J0vkZTltHeAgAACAASURBVNKDmFkzOZ6asjIZPIyqiMEn06oWdfRYPsEbetooWoQAAMCMXlusYYwQAADAcNAiBAAAZvSYNYqdZQAAoPHQZ2cZQ48RomsUAACMGlqEAADAjD7LJww9WQaJEAAAmBGI43VMbLrWZw6JEAAAmBEE3Se/YIwQAADAgNAiBAAAZvgGuOk2EiEAADAjCIZfDqErdI0CAIBRQ4sQAACYEQhdowAAYMT0OqHewNA1CgAARg0tQgAAYAazRqvD8RqOxSm2MjNX6UHU5dnSgxCR7AGDIHIbBmfYErFp3ssr2Jz4SvkMztRVKNgcsspxDD4anq+QHoQYHfArE0ykByEijkUXlsCxmSOoNHGUHsTLIkl6ECKybJIrPYjCjMEhzERkb8fiYeQsfv/Wgh4L6g3elYoWIQAAMKPHFmu1+UvqypUreXl5oaGh5ubmz61w//79lJSUZs2aeXt7iyXp6emlpaXaCqamph4eHkSUnJys0Tz9s8DS0tLFxQWJEAAA6i+NRjN06NDr1697enrevXs3Pj7ez8+vcgVBECZMmHD06NHQ0NCEhIRBgwatWrWKiN55551Lly6JdTIzM3v27Llv3z4iCg4OtrCwUCqVRBQZGblixQokQgAAYEaPBfXV19+3b9+1a9euXLliaWk5e/bsTz755Mcff6xc4cqVK5s3b05LS3NwcHj8+HHTpk1nzJjRsmXLrVu3/h5f8Pf3Hz16tPaWo0ePVs6mtU2EKSkp//vf/+7fvx8eHh4UFKQtT05OXrVqVX5+/qBBg15++eVaRgMAgEZJj8ky1Y8pbt++fejQoZaWlkQ0ZsyYLl268Dwvk/0x8K9QKBQKhdhlamFhIZfLFYo/pbbjx48/efIkKipKW5KRkUFE3t7eYs3aTiIYPXr0t99+u3z58nPnzmkLVSpV165dy8vLg4KCxo8fv2XLllpGAwAAqA1x5E+8bt68eWlpaVZWVuUKbdu2nTdvXmRk5HvvvffKK68sWrTI19e3coU1a9aMHj1aO7gol8vffPPN/v37e3h47Nmzh2rfIjxx4gQRhYWFVS6Mi4tr3br1119/TUSmpqZLliwZPny4Pt8oAAA0CgLpfDBvKa958ODB6tWrKxcGBgZ26tSJiEpKSkxMnk6TFi9KSkr+dHtpaUJCgp2dnZubm62t7dmzZ6dPny4OARJRXl7ejh07Tp8+ra3/66+/2tvbE9GGDRtGjRr14MEDSWOEZ86c0abGvn37jhkzpri42MLCQkpMAABouPSYNVqqUefm5l68eLFyobW1tZgI3dzcsrOfLnh78uQJx3Gurn9aRPfTTz/99ttvV69e5ThuxowZrVq12rlz57Bhw8R3//Of/7Ro0aJjx47a+mIWJKKxY8fOnj372rVrkhLho0ePHB2fLv1xcnIiooyMjCptUlF6erqvQwnR86e9AgBA/VdlcO75dQSdF8hbK8wDAwO///77577buXPnkydPzpkzh4hOnjzZoUMHMzOzyhVKSkqsrKw4jiMimUxmaWlZucm4Zs2aSZMmPTfykydP8vPzHR0dJSVCU1PT8vJy8Vq8qPJ8Wvb29lVGLwEAoGGpMQu+COPHj1+6dOmnn37aqlWruXPnLlmyRCzv06fPsGHD3nrrrcjIyLlz537wwQc9evQ4evTow4cP+/XrJ9a5du3a9evXo6OjtdFOnz69ffv24ODgsrKylStXhoeHt2nTRtJ35eHhkZqaKl6npKQoFAoXF5fn1jQ3N9f22AIAQGMlLp/Q9VUNZ2fnM2fOZGVl7d27d/ny5aNGjRLLo6OjxQ5PLy+vxMTEioqKuLg4uVyemJio7Tt98uTJihUrtD2XROTj42Nra3vw4MFz58699dZbu3bt4jhOUistKipq7ty5H3/8sbm5+aZNmwYNGoRmHwCAMdNrZ5ka6rds2XLlypVVCqdMmaK99vPzi42NffbGPn369OnTp3KJu7v7J598UqVabVuEH374YUhIyIULF2JjY0NCQo4ePUpEAwcO9PX17dy5c1RU1OrVqz/99NNaRgMAAKgnatuAmz59+oQJE7Rfil2gCoVi7969CQkJOTk5GzZssLW1fSHPCAAADYQg6Lx8osFsuu3s7Ozs7PxsuUwm69q1K9NHAgCAhoon4nW/xbAwpAcAAOzo3iKs1fETLxJOqAcAAKNWty1CjkFHsJzFYa0VRVk1V6oFdS6Lk2NZ/TXE4q8ahVUhgyhEQgGDU0CZHKhLRILAoOtFoympuVItyKRN1f4dm84kJmMzTD5eIuI4ufQgzhZF0oMQkal9vvQgnAmbY64t7Rgccy2T1VGzCyfUAwCAUdNjjNDQPaPoGgUAAOOGFiEAADCjx+kTOk+uYQ2JEAAAmBEaYNcoEiEAADAjCDq38AyeCDFGCAAARg0tQgAAYEaP5RMYIwQAgEZF165OdI0CAAAYElqEAADADLpGAQDAqDXEnWWQCAEAgBm9ziM0MIwRAgCAUUOLEAAAmNFjZxkczAsAAI2HHnuNkqEny6BrFAAAjFrdtQhlFcWyMgYtYPmK2dKDaEYMlR6EiOQLP5YeRCYzkx6EiJgMOfOM/jaSyRgcsiqsmiA9CBFx1gweRuHmJj0IEVFquvQYgkp6DCIizprBP0muQnoMIqKSey7Sg/zj1ivSgxCRmaK39CA+HqnSgxDRmTutpQdJLzaXHmROLerwAvE6/irStT5z6BoFAABmcPoEAAAYNb1On8AYIQAAgOGgRQgAAMxgZxkAADBqgkCCjplN1/rMIRECAEB99+DBg/z8/ICAALn8+ZPAs7KyUlNTPT09HR0dxZLS0tKSkhJtBVtbW5ns6WhgYWHh7du3vb29HRwcCGOEAADAkEAcr+Or+gahIAjjxo3r1q3b+PHjW7du/fDhw2frzJgxIyAg4L333mvduvW8efPEwuXLl7u5ufn+LjX16WqWffv2eXt7T5s2zc/Pb82aNYRECAAADInrCHV6Vd81evDgwePHj9+8efPixYvh4eEff1x19fa1a9e+++67q1evHjly5OLFi8uWLbt//7741pgxY3J+5+XlRUQajeatt9767rvvzp49e/DgwRkzZuTl5SERAgBA/bVly5Zhw4bZ2toS0cSJE7ds2SL8OXNqNBoTExOxk9PJyUmpVGo0Gu1bKSkpFRV/bPpw7ty5oqKiqKgoIgoJCfHz89u7dy8SIQAAMCPo9apGcnKyt7e3eO3j41NcXPzkyZPKFQIDA6dOnTpkyJDPP/88Kirqvffe8/f3F9/66aefevToYWtr+9Zbb6nVaiJ6+PBhs2bNtAONPj4+Dx8+xGQZAABgRtD9hPpygU9LS9u6dWvlwtatW7dt25aIiouLzcye7kMpXhQWFjo5OWlrVlRUZGRkqNXqiooKtVqdmpqq0Wjkcvm4ceNmzZqlVCpTUlL69u37z3/+c9asWcXFxaamptp7zc3NCwsLkQgBAIAZQfflECWasvT09CqJsH///mIidHFxycnJEQuzs7OJyNXVtXLNrVu3JiYm3rhxQyaTqdVqf3//PXv2REVFubg83b3W09NzwoQJx44dmzVrlouLi0r1x1692dnZnTt3RiIEAABDspZbhIaGbtmy5bnvhoSEnDlz5t133yWis2fPBgQEmJv/aQPx3NxcR0dHcWmEQqFo0qRJ5VQnSk9Pt7e3J6LAwMCkpKSsrCwnJye1Wp2QkLBgwQIkQgAAYEaPnWWqrz9hwoSvvvrqH//4R6tWrebNmzd//nyxfNCgQa+++urEiRP79es3Z86cpUuXdu/ePT4+/s6dO+Hh4UQ0b968tm3bOjk5nTt37ocffjhy5AgReXp6RkVFjR8/fvbs2XFxcf7+/l26dMFkGQAAYEfgBB1f1R/M6+7ufvTo0UuXLn377bcffPDBxIkTxfLevXu3aNGCiFq0aHH69Ol79+59/vnnqampZ8+e9fT0JCI/P7/9+/f/4x//yMzMPHv2bLdu3cQb165d27Fjx9jYWDs7uz179hB2lgEAgHouKCgoLi6uSuHs2X+cTRsYGPj9999XqRATExMTE/NsNEtLy4ULF1YuqcNEqFGThsUpoKYMgvBmdtKDEBHHMTjxlRgdQcJxDOIw+o6I5zXSg8hsGP18WltJj8HbOkgPQkTy/DzpQWRUJD0IEZGVBYMgagb/r4nIxK5AepAnVCg9CBEVlpvWXKkmxcUsPl6ivHITBkEq2PzTrhHzrtE6gBYhAAAwo8cJ9YbecxuJEAAA2KlxgfxzbzEsTJYBAACjhhYhAAAwI+jRNSowmiihLyRCAABgRr+DeQ2bCNE1CgAARg0tQgAAYEY8a1enWww+WQaJEAAAmBFI5zFCXqA6WuT4F5AIAQCAGT2WTxgcxggBAMCooUUIAADM6LGzDLZYAwCAxgNdowAAAA0MWoQAAMCMHjvL6FqfOSRCAABgRp/TJ5AIAQCg0cDpEwAAAA1M3bUI5blZCkWZ9DjlqQwOClfkPZQehIjkDp2kB2FysjwrgsDmtHEmM6LVaWy2m5Db5koPIlOy+cfCpzM4Qp3PN5MehIhkViUMomjY/D1dnOYmPUiScEl6ECJKKewhPYiNqb30IET0sMhUepDUYukxakWf0ydezJPUHrpGAQCAGXSNAgAANDBoEQIAADOYNQoAAEZN0D2xIRECAEDjIeg+U87QeRBjhAAAYNzQIgQAAGZw+gQAABg1gQTB8J2dukHXKAAAGDUkQgAAYEbcWUbXV42ys7OTk5OrqVBcXJyUlFRS8qfNksrKyh48eFBUVFR9cCRCAABgRhB0ftXYk/rOO+/4+/uHhYUFBQU9evTo2Qoff/yxp6fniBEjPDw8Fi9eLBa++eabjo6OYWFhrq6uMTExGs3T/SMdHR25340YMYKQCAEAgCFer1c14uPjt23bdvv27Xv37rVv3/7jjz+uUuHWrVuLFy++dOnShQsXzp8//+GHHz548ICI+vbtm5qaev/+/fv37x89ejQuLk57y507dwRBEAThp59+IiRCAACozzZt2jR8+HBHR0cieuuttzZt2iT8eQV+cXGxubm5h4cHETVv3tzExKS4uJiIhg0bZmtrS0TOzs4hISFidhSVl5eXlpZqv0QiBAAAZvQYI6y+Z/TBgwctWrQQr/38/AoKCrKzsytXCA4Ojo6OHjFixIoVK4YOHTp58uQ2bdpUrpCWlnbs2LEBAwZoS1566SV7e/vAwMBz584Rlk8AAABDeiyf0JA6Kyv3yJEjlQt9fHx8fHyIqKCgwNzcXCy0sLAgovz8fLGB+PR2jUahUDx58uT+/fsqlcrX15fneZnsaTOvqKho+PDh48eP79q1q1hy6tSp1q1bazSaxYsXR0VF3bt3D4kQAAAMqYwveXD37pIlSyoXvvbaa2+++SYRubi45OY+PVI0JyeHiFxdXSvX/Pnnnw8dOnTr1i2FQlFWVubn5xcWFjZw4EAiKikpGTx4sL+//9KlS7X1W7duTURyufyDDz74+uuvr1y5UoeJUMaRrN70xDLb5JVJnHp1MC+rSCy+KVYbTrCIw/FsnobJJyzwjH5mWMRh9TCCwCCOkjOXHoSIFDIG/58UcjbHXCtZPIxSVke/Z3jSeWcZM87qpZde2rFjx3PfDQwMPH/+vHidkJDg7+8vtgu1Hj9+7O7urlAoiMjU1NTNze3x48dEVF5ePmzYsCZNmvzrX/967vnnxcXFJSUlVlZWaBECAAAzzA/mjYmJadeu3bp161q1avX++++//fbbYnl0dHRkZOSYMWPCwsLmzJmzevXq7t27x8fH37hxo2/fvkQ0atSo69evf/nll2KK9fb2DgkJuXjx4okTJzp16lRSUrJ06dIOHTq0a9cOiRAAAOovLy+vvXv3Llu2TKVSTZo0SZsIW7duLfaRtm7d+tChQytXroyLi/Py8jp69Ki3tzcR+fn5OTg4HDt2TKzfvXv3kJAQe3v769ev79y508zMrEuXLjNnzpTL5UiEAADAjCAIvI4DAEJN9Xv06NGjR48qhZUXFHbv3r179+5VKnzxxRfPhvLx8Vm7dm2VQkmJsLi4uGfPntovx4wZM336dCkBAQCgQatxgfxzbzEsSYlQo9FcvHjx/Pnz4ihllZk8AABgbMQdWwz9FLph0DUaFBSkVCqlxwEAAKh7DNYzhISEBAUFzZw5U7vUAwAAjJPAeq/ROiApEZqYmGzatGnLli2rVq26cuVKdHT0X9VMSkrKz8+X8t8CAADD4muxmpYXiBcEnV4G70qV1DVqamqqTX4bNmzw8vJ68uRJ5Z1vtHx8fGyUNkTlUv5zAABgQLL6sykKU8yWT5iZmRGRWq1mFRAAABoc5gvq64CkRHjp0iWe59u1a5ednT1r1qxOnTph4igAgDETSOB1TG26btLNnKR27uPHj0ePHm1nZxcUFMRx3LZt21g9FgAANES6DhDyhh8ilNYifPnll19++WVWjwIAAFD3sMUaAAAwo8d5hAbvGkUiBAAAZgTd1wUaumeUxYJ6AACAhqvuWoSyPJVMViw9TmmOnfQglkUq6UGIiOMY/CUhCKz2VWBw8CYvsFnrKQgMjiTV5FlJD0LE5pBgRWERgyhEmjwGJ8eq8y1qrlQbLM7CFTRs/p4uLbCUHiS7+Ir0IESUUvyS9CAOBbbSgxBRchGD/00PS0qlB6kNXvdZo7rWZw5dowAAwIyg+5ifwbtGkQgBAIAZnnhex1FCwdC7jWKMEAAAjBpahAAAwIxeO8sYGBIhAAAw0xAny6BrFAAAjBpahAAAwIweO8sYvHMUiRAAAJgRSNB11qjBu0aRCAEAgBmeE3hOx8kyOtZnDmOEAABg1NAiBAAAZgR9FtSjaxQAABoLgQRdd4rBzjIAAACGhBYhAAAwo9deo5gsAwAAjQXPCTzH6/iqORGWlJTk5uZW99/l+ZycHEGoGqqwsLCgoODZytnZ2Wq1WvwSiRAAAJgRJ8vo9KpxjHDBggVubm7+/v69e/fOzs5+tsJXX33l5OTUpUsXR0fHlStXioVqtXrs2LGenp7NmjWLjo4uL3962GpCQoKPj09gYKCHh8e+ffuoLrtGS0KHFzc1kx7HNOg36UGU7v2kByGiiqvfSw/CW9pLD0JExDE4vVNt6yU9CBHJSqv7262W+LmjpQchIl5pzSCISRPpQYhIXZYlPYhQzuZk6QoFg09G4Nkc5myXc0d6kNiELtKDENG43kelB7FwzpEehIjaX20pPYgq30Z6EIM4c+bM999/f+PGDXd39+jo6E8++WTFihWVK9y9e3f+/PlXr15t1arVlStXgoODo6KimjZtGhcX98svv6Smpsrl8l69eq1evfrtt98WBGHcuHHz5s2bOnXqgQMHRo0alZqaihYhAAAwIxCv+6u6rtGNGzcOHz7cw8OD47h33nln48aNVfo/VSqVpaWlv78/EQUEBJiYmKhUKvHGyZMnW1pampmZTZ06dePGjUSUmJiYnp4eExNDRAMGDHB1dd23bx8mywAAADO87lusVZ8I79+/P3jwYPG6ZcuWubm5KpXKwcFBWyE0NLR///7jxo0LDw/fv3//8OHD27VrJ97YsmVL7Y1JSUlElJSU5OPjo1QqK5cjEQIAgCEJxOfm5l68eLFyoYeHh6urKxHl5eVZWlqKhVZWVkSUm5tbOREKguDj43P48GG5XH7v3r2BAwcKgsBxXEFBgYWFhfZGca5Nfn6+tlBbjkQIAADM6LGzTAVfcuXK/SlTplQuHDly5OzZs4nI2dlZO19U7PN0dnauXHP37t2bNm369ddfTU1Ni4uL/fz8unbt2r9/fycnp7y8PLFObm6ueJeTk1Pl2acqlSo4OBiJEAAAmBFXROh0i1xm1qNXrx07djz33Xbt2iUmJorXiYmJ3t7eYrtQKyUlpXnz5qampkRkYWHh5eWVkpJCRG3btk1MTIyMjCSiCxcuiP2lbdu2vXfvXl5enq2tLc/zFy9enDlzJibLAAAAMwLxAml0fFWXOGNiYvbs2fPzzz/fvHlzwYIFb775prb8p59+IqJevXolJCRs3rw5PT09Li7uypUrPXv2JKI333xz5cqVp0+fTkhI+Prrr8UbW7Ro0atXr1mzZt2/f//jjz+2tbXt3bs3WoQAAFB/+fr6btmy5csvv1SpVEOGDJk1a5ZY3qRJE3G0r3379j///PPy5csXLVrk5eW1Z88ecQZpeHj4kiVLZs+ezfP8ggULtDNuNm7c+O6777766qstW7bct2+fTCZDIgQAAGb0On2ihvoDBgwYMGBAlcLY2NjqKxDR+PHjx48fX6XQ2dk5Li6ucgkSIQAAMKPX6RPYaxQAAMBw0CIEAABmeEHDCxqdbjH4eYRIhAAAwAy6RgEAABoYtAgBAIAZgTQ86do1qlt95pAIAQCAGaEW5ws+c4uBu0aRCAEAgBmeeN1bhEYzWUYozxfKSqTHsWBxpm5J+iHpQYio7JtM6UHMHO5JD8KKedMDTOIIZQyGnzXTvpIehIg06kLpQSoK70sPQkRyi6bSg/CcXHoQIuKYxNEwOBGaiHjnjtKDjOmxVXoQInJ4jcHJ0oJCKT0IEbXwOSc9CJ+PZs9fwkcDAADMCAIvCDp2jQroGgUAgMZDj+UTBu4axfIJAAAwamgRAgAAM/rsLKNjVypzSIQAAMBMQ9xZBokQAACYEUgj6NgiJEO3CDFGCAAARg0tQgAAYKjhzRpFIgQAAGZ4ged1XUdo6DFCdI0CAIBRQ4sQAACYEYjX9TQJdI0CAEDjgS3WAADAyOlxDBOWTwAAABgOWoQAAMCMIAg6b5mGrlEAAGg09BkjNPTyibpLhBZ27Syb2EiPU5T9P+lBOBtv6UGIyG7QQelBeAcn6UGIiHgG/ezqJgHSgxARyRn8aPHpx6QHISKOxd+bMhbfERFRQar0GMq8R9KDEBFvZiU9iKysSHoQIpLnZkkPoiq2lB6EiKi8XHoM3sFDehAikvGPpQcRytDs+Uv4aAAAgBm9lk/ouDcpa0iEAADAjB5doxgjBACAxoQnnZdD1CoRVlRUKJVKPR6oRlg+AQAA9dqyZcvs7e2bNGny6quv5ufnV3n38OHDvn929epVIho2bFjlwtdff12sHxwcrC2cNm0aoUUIAAAMCaTz8onq61+4cGHx4sUXLlxo1qzZ3/72t88++2zZsmWVK/Tu3TsxMVG83rVr14IFCwICAoho7dq1arVaLA8PD+/UqZN4nZycfPDgQR8fHyIyMTEhtAgBAIApXtD5VV3X6IYNG4YPH96iRQulUvnuu+9u2LChSgWlUmn/u23bto0bN04ulxORtbW1WPj48ePr16+PGjVKe4uNjY34lqWlJSERAgBAfXbv3r02bdqI123atHny5IlKpXpuzbS0tEOHDo0dO7ZK+Q8//PDqq686Of2xUK1Xr15ubm6DBw++ffs2oWsUAABYEnjSddYoCUVFRUlJSZWLmjRpYmtrS0QqlcrK6umCV2tra7HE3t7+2SgbNmzo0aOHr69v5UK1Wv3jjz+uW7dOW7Jp06bg4ODS0tKFCxdGRkbeuHEDiRAAAJjRYx0hkfrcuXMRERGVi8aOHbtgwQIicnJyysvLEwtzc3OJyNnZ+Tn/XUFYt27dJ598UqV89+7dcrm8cnDt9cqVK+3t7S9fvoxECAAADOmxfILCw8N37Njx3Ldat279yy+/iNeXL1/29PTUNhArO3nyZFZW1pAhQ6qUr1mzZvz48eKoYdUH5Xme5+VyOcYIAQCg/oqJidm5c+eRI0dSU1M//fTTSZMmieXvvPPOzp07tdXWrFkzatQoCwuLyveKo4bjxo3Tlty8eXP79u3Jycm3b9+OiYnx9PRs3749EiEAALAjCE+HCXV4VTdrtFWrVj/88MN7773XvXv3zp07z5s3TyyvqKjQro5Qq9V5eXmTJ0+ucu+FCxcmT55cedRQEITvv/++Z8+er776qkwmO3DggKmpKbpGAQCAGYEE3U+TqKH+sGHDhg0bVqXw22+/1V4rFIpdu3Y9e2NUVFRUVFTlkoCAgEOHDlWphhYhAAAYNbQIAQCAoRe11+iLg0QIAAAMCbonNuNIhKmpqePGffjcxR8NHJNTQIurfzszM9PKyqrKbKgXJqnmKo1LSUlJfn6+i4uLoR+k0Xr48GHTpk1lsroZiCllEyaRwSniRAUsghBR02reU6lUHMfZ2dkx+m9V5/XijxYuXFh9ncuXL+ka9r///e+zG6fVJU6ok4OgeJ6/e/fuCzpBo9ErLy9XKpUcxxn6QRonQRAqKirEvXfhRSgrKzM1NTX0UzRaGo2GiJ67To45Nzc3c3Nz5mEFQSgvLzfgD0kdJUIAAID6CbNGAQDAqCERAgCAUUMiBAAAo4ZECAAARg3rCOu1kydP/vrrr+K1TCabOHGiYZ+nEdBoNLdu3bp8+bJara68FS8R7du37+jRo25ubpMnTxYPQgM95OTkXLx48bfffuvSpUv79u3FwrS0tH379mnrREREeHt7G+gBG7asrKw9e/bcunXLzs5u2LBh/v7+2rf27Nlz7Ngxd3f3yZMn29gwWf5hLNAirNf+/e9/b9q0KSkpKSkp6bfffjP04zQGBw4cGDBgwDfffPPOO+9ULl+1atVbb73l4+Nz8eLFnj17ajfzBV0NGTLk/fff/+STTyrv6Hjr1q0FCxYk/a6oqMiAT9igTZs27eDBg66urpmZmR07djxz5oxYvmLFiunTp/v6+iYkJPTu3VtcUwG1JUA9NnHixCVLlhj6KRoVjUYjCML58+dtbGy0hWq1ulmzZvv37xcr+Pv779y502CP2MCJn/DAgQOXLl2qLTx8+HBQUJDhHqrxKCkp0V5PnTp1/PjxgiBUVFQ0bdr04MGDgiCo1WpfX989e/YY7BEbILQI67v//e9/sbGxW7ZsKS8vN/SzNAbP3d8kOTk5JSUlLCxMrBAWFnbixIk6ph4qqgAAAwlJREFUf7RG4q92kFGpVF999dXq1asfPnxYx4/UmJiZmWmvS0tLxSNqk5KSHj161KdPHyKSy+V9+/bFD7BOkAjrNU9PTxcXl9zc3NjY2JCQkMLCQkM/UeOUkZFhZ2en3VzGxcUlPT3dsI/UyJibm4eGhqpUqvj4+LZt2x47dszQT9TgnT9//ueff54+fToRPXr0yN7eXrt1F36AdYXJMvXaggULxIvPPvssJCRkzZo1VUa2gAmFQlF5ULCiogJbgrHVrVu3bt26ideLFi2aP3/++fPnDftIDdqdO3eGDh26evXqFi1aEH6AJUOLsGFQKBSdO3dOSjK6HbHrhoeHR0FBQX5+vvhlWlqam5ubYR+pEXvppZfwkyzF3bt3w8LCFi9ePGLECLHE3d09Ly9P22OEH2BdIRHWayUlJeJFYWFhfHx8QECAYZ+nsWratGlgYOC2bduIqKCg4MCBA4MHDzb0QzUqpaV/HAqxZ8+etm3bGvBhGrTk5OT+/ft/+OGHb7zxhrawefPmAQEBP//8MxHl5+cfOnQIP8A6wabb9Zqzs3Pnzp1tbGxOnDjRvn37Xbt24QQPidLT0wcPHlxUVHT37t3AwEAvLy/x18fBgwdHjRo1cODAS5cutWrVasuWLYZ+0oZq4cKFu3btunfvnrW1tYuLy2effRYZGTlhwoS7d+82b978zp07aWlpe/fuDQwMNPSTNkiRkZEnT55s1aqV+GVISMh3331HRPv37x8zZszAgQMTExPbtWu3adMmgz5mA4NEWK8lJydfvny5tLTU39+/Y8eOhn6cxqC8vPzatWvaL83MzLTt7JSUlDNnzri5ufXs2ROHXuktOTn5yZMn2i+bN2/epEmTgoKChISErKwsFxeXLl261NXhmo3QnTt3Cgr+OObQ2tpau6b+4cOHZ86c8fDw6NGjB36AdYJECAAARg1jhAAAYNSQCAEAwKghEQIAgFFDIgQAAKOGRAgAAEYNiRAAAIwaEiEAABg1JEIAADBqSIQAAGDUkAgBAMCoIRECAIBR+39rT48n17Lm2gAAAABJRU5ErkJggg==", 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What do you notice about this matrix? (Hint: recall that 1-3: gothic horror, 4-8: Edgar Allan Poe, 9-16: Sherlock Holmes, 17-21: Shakespeare, 22: Math)" ] }, { "cell_type": "markdown", "id": "3fb5e11a", "metadata": {}, "source": [ "9. Consider the story \"A Study in Scarlet\" (1887 detective novel by Arthur Conan Doyle introducing Sherlock Holmes for the first time). What do you expect to be the most similar other book? Compute the cosine similarity to confirm or dissprove your theory." ] }, { "cell_type": "code", "execution_count": null, "id": "bbf691f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9986128845587086\n", "0.9962121329923731\n" ] }, { "data": { "text/plain": [ "5-element Vector{Any}:\n", " 9\n", " \"Adventures of Sherlock Holmes\"\n", " 105679\n", " 7874\n", " \"green\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "println( S[ 11, argmax( S[11,1:10] )] )\n", "println( S[ 11, argmax( S[11,12:end] ) ])\n", "\n", "INFO[ argmax( S[11,1:10] ) ]" ] }, { "cell_type": "markdown", "id": "19a81512", "metadata": {}, "source": [ "Imagine we want to compare a new text to our existing collection of documents. We could build a document-term vector for this new text and use the same projection to get a lower dimensional representation of this document. We do this in the following with the book \"Tales of Horror and Mystery\" by Arthur Conan Doyle. " ] }, { "cell_type": "code", "execution_count": 18, "id": "5177c9a6", "metadata": {}, "outputs": [ { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "query = getText( \"https://www.gutenberg.org/cache/epub/537/pg537.txt\" )\n", "L = length( query )\n", "\n", "q = []\n", "for w ∈ WORDS \n", " push!( q, count(w′->w′==w, query)/L )\n", "end\n", "\n", "# q is like a new column in the orginal matrix\n", "q′ = (P' * q)[1:k]\n", "\n", "plt = scatter()\n", "for i ∈ 1:n \n", " scatter!(plt, [D[1,i]], [D[2,i]],\n", " label=INFO[2:end][i][2], legend=:outertopleft, color=DOCS[i][end], size=(1000,400), markersize=10)\n", "end\n", "scatter!(plt, [q′[1]], [q′[2]], label=\"Tales of Horror and Mystery\", markersize=20, color=\"yellow\" )\n", "plot( plt )" ] }, { "cell_type": "markdown", "id": "664141ae", "metadata": {}, "source": [ "10. What do you notice about this plot?" ] }, { "cell_type": "markdown", "id": "1528ad75", "metadata": {}, "source": [ "11. Copy some of your own text into the following variable:" ] }, { "cell_type": "code", "execution_count": 19, "id": "9be9c856", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"The evening had descended into a gray drizzle, and the gaslights of Baker Street cast quivering reflections on the wet pavement. I was seated by the fire, half-listening to the scratch of Holmes’s pen upon a notebook, when a sharp knock sounded at the door.\\n\\nA young wom\"\u001b[93m\u001b[1m ⋯ 1559 bytes ⋯ \u001b[22m\u001b[39m\"reenhouse, the missing miniature hidden beneath a loose floorboard, and a half-burnt violet leaf in his coat pocket.\\n\\nHolmes returned to Baker Street that night with a faint smile. “You see, Watson, the smallest clue—an errant petal—can unlock the greatest of mysteries.\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "text = \"The evening had descended into a gray drizzle, and the gaslights of Baker Street cast quivering reflections on the wet pavement. I was seated by the fire, half-listening to the scratch of Holmes’s pen upon a notebook, when a sharp knock sounded at the door.\n", "\n", "A young woman entered, her gloves damp and her eyes wide with anxiety.\n", "\n", "“Mr. Holmes,” she began, “I fear something most peculiar has occurred at my father’s estate in Surrey. A valuable miniature has vanished, yet the door shows no sign of forced entry. None of the servants will speak of it, and I am utterly perplexed.”\n", "\n", "Holmes rose, eyes gleaming. “Pray, Miss——?”\n", "\n", "“Clermont,” she replied.\n", "\n", "Holmes gestured for her to continue. “Your father keeps no unusual guests? No visitors of late?”\n", "\n", "“None,” she said, wringing her handkerchief. “And yet, this morning, a single violet petal lay upon the drawing-room floor, as if to mock us.”\n", "\n", "Holmes’s fingers twitched. He examined the petal with a magnifying glass, turning it gently. “Aha,” he murmured, “not merely a violet, but one from a rare hybrid cultivated only by the gardener at the northern end of the estate. See here—minute traces of ash upon the stem. The thief is familiar with the house, and has handled fire.”\n", "\n", "I frowned. “But how does a single petal reveal the culprit?”\n", "\n", "Holmes’s eyes sparkled. “Elementary, my dear Watson. Only one man could traverse the greenhouse, avoid detection, and carry a flower so delicately while leaving no other trace. The gardener himself—Mr. Kent—has taken the miniature, hoping to frighten the family into consulting him for protection. He relies on his knowledge of the estate and his own familiarity to evade suspicion.”\n", "\n", "By the time we arrived at the Clermont estate, Mr. Kent was found seated nervously by the greenhouse, the missing miniature hidden beneath a loose floorboard, and a half-burnt violet leaf in his coat pocket.\n", "\n", "Holmes returned to Baker Street that night with a faint smile. “You see, Watson, the smallest clue—an errant petal—can unlock the greatest of mysteries.\"" ] }, { "cell_type": "markdown", "id": "8cc8c532", "metadata": {}, "source": [ "Where would you expect this text to sit in the lower dimensional respresentation of these text documents (i.e. in the plot)? Is your text more like mine, or Shakespeare? Confirm your hypothesis by running the code cell below. " ] }, { "cell_type": "code", "execution_count": 20, "id": "ecc041f2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3-element Vector{Any}:\n", " -0.09590533975092494\n", " -0.023615526750431846\n", " -0.0015677409265134723" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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q)[1:k]\n", "\n", "display( q′ )\n", "\n", "plt = scatter()\n", "for i ∈ 1:n \n", " scatter!(plt, [D[1,i]], [D[2,i]], [D[3,i]],\n", " label=INFO[2:end][i][2], legend=:outertopleft, color=DOCS[i][end], size=(1000,400), markersize=10)\n", "end\n", "scatter!(plt, [q′[1]], [q′[2]], [q′[3]], label=\"YOUR TEXT\", markersize=20, color=\"yellow\" )\n", "plot( plt )" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.11.6", "language": "julia", "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }