{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Estimating Stock Price Correlations using Wikipedia \n", "\n", "
\n", "
\n", "\n", "## Delia Rusu\n", "\n", "
\n", "
\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# About Me\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "# Delia Rusu\n", "\n", "\n", "- Chief Data Scientist @ Knowsis\n", "\n", "- PhD, Natural Language Processing and Machine Learning\n", "\n", "- Interests: unstructured data & finance" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# This Talk\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Financial Data\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Sources of Unstructured Data\n", "\n", "- Annual reports\n", "\n", "- Broker research\n", "\n", "- Conference call transcripts\n", "\n", "- Investor relations presentations\n", "\n", "- News and press releases\n", "\n", "- In-house content" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# What about unconventional datasets?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Wikipedia\n", "\n", "- 10 edits per second\n", "\n", "- the English Wikipedia \n", " - currently has over 5M articles\n", " - average of 800 new articles per day " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Structured Views of Wikipedia\n", "\n", "- Wikipedia article -> vectorized representation of the context\n", "\n", "- Wikipedia as a graph" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Word2Vec\n", "\n", "- Word2Vec model (Mikolov et al. 2013)\n", " - distributional hypothesis: words in similar contexts have similar meanings\n", " - shallow, 2-layer neural network\n", " - training objective - learn word vector representations which can predict nearby words (in context)\n", " \n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Word & Article Vectors\n", "\n", "- generate context vectors for:\n", " - words which appear in Wikipedia articles\n", " - Wikipedia articles themselves (topics)\n", " \n", "- model: wiki2vec\n", " - https://github.com/idio/wiki2vec" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "**Unilever** is an Anglo-Dutch **multinational consumer goods company**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "**Unilever_ID** is an Anglo-Dutch **multinational_consumer_goods_company_ID**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Wikipedia Graph\n", "\n", "- Types of nodes:\n", " - articles, categories\n", " \n", "- Types of directed edges:\n", " - hyperlinks from article to article\n", " - infobox links from article to article \n", " - links from article to category\n", " - links from category to category" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Graph-Based Similarity\n", "\n", "- using the distance between nodes in the graph\n", " - in this case, $$Similarity(v_1,v_2) = 1 - Distance(v_1, v_2)$$\n", " \n", "- using random walks on graphs\n", " - Personalized PageRank (Haveliwala, 2002) is a variation of PageRank (Brin and Page, 1998)\n", " - the user query defines how important the vertex is, such that PageRank will prefer vertexes in the vicinity of the query vertex." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# FTSE 100 Index Analysis" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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CompanyTickerSectorMarket capEmployees
03iIIIPrivate equity4.06266
1Aberdeen Asset ManagementADNFund management3.141,800
2Admiral GroupADMInsurance4.912,500
3Anglo American plcAALMining6.09100,000
4Antofagasta PLCANTOMining4.714,005
\n", "
" ], "text/plain": [ " Company Ticker Sector Market cap Employees\n", "0 3i III Private equity 4.06 266\n", "1 Aberdeen Asset Management ADN Fund management 3.14 1,800\n", "2 Admiral Group ADM Insurance 4.91 2,500\n", "3 Anglo American plc AAL Mining 6.09 100,000\n", "4 Antofagasta PLC ANTO Mining 4.71 4,005" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "df_ftse_100_companies = pd.read_csv(\"ftse_100_companies.tsv\", sep='\\t')\n", "df_ftse_100_companies.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Wikipedia Similarity\n", "\n", "- using gensim's Word2Vec for model building and similarity computation\n", "\n", "- obtain pairwise similarity" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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Company1Company2W2V Similarity
03iAberdeen_Asset_ManagementNaN
13iAdmiral_GroupNaN
23iAnglo_American_plc0.399286
33iAntofagasta_PLCNaN
43iARM_Holdings0.267260
\n", "
" ], "text/plain": [ " Company1 Company2 W2V Similarity\n", "0 3i Aberdeen_Asset_Management NaN\n", "1 3i Admiral_Group NaN\n", "2 3i Anglo_American_plc 0.399286\n", "3 3i Antofagasta_PLC NaN\n", "4 3i ARM_Holdings 0.267260" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_similarities = pd.read_csv('ftse_100_company_pairs_similarities_w2v.csv')\n", "df_similarities.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Pricing Data " ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2013-01-012909.52909.502909.502909.502441.043
2013-01-022930.02969.302923.002969.023947002490.963
2013-01-032969.52982.502952.502980.017631002500.192
2013-01-042992.53005.002975.213000.020411002516.972
2013-01-072998.53004.992976.002985.011852002504.387
\n", "
" ], "text/plain": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2013-01-01 2909.5 2909.50 2909.50 2909.5 0 2441.043\n", "2013-01-02 2930.0 2969.30 2923.00 2969.0 2394700 2490.963\n", "2013-01-03 2969.5 2982.50 2952.50 2980.0 1763100 2500.192\n", "2013-01-04 2992.5 3005.00 2975.21 3000.0 2041100 2516.972\n", "2013-01-07 2998.5 3004.99 2976.00 2985.0 1185200 2504.387" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pandas_datareader import data\n", "df_company_pricing = data.YahooDailyReader(symbols='AZN.L', start='2013-1-1').read()\n", "df_company_pricing.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Correlating Daily Returns\n", "\n", "- Obtain daily returns for each FTSE 100 company\n", "\n", "- Calculate the correlation for each possible pair" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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Company1Company2Correlation
03iAberdeen_Asset_Management0.047557
13iAdmiral_Group0.067823
23iAnglo_American_plc0.091343
33iAntofagasta0.057116
43iARM_Holdings0.077546
\n", "
" ], "text/plain": [ " Company1 Company2 Correlation\n", "0 3i Aberdeen_Asset_Management 0.047557\n", "1 3i Admiral_Group 0.067823\n", "2 3i Anglo_American_plc 0.091343\n", "3 3i Antofagasta 0.057116\n", "4 3i ARM_Holdings 0.077546" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_correlations = pd.read_csv('ftse_100_company_pairs_correlations.csv')\n", "df_correlations.head()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Does the Wikipedia Similarity Explain Correlation of Returns?" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Pr++XEF3BVUsxOraGR7OabuJ1jmn9XzQtFB9VVentj5LJettOBNM0+aRtkDcPNnOmqT/v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DAAAC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\nl0KhUFIIFV0KhUJJIVR0KRQKJYX8f/fdut9U/+ZGAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "from IPython.display import display\n", "import seaborn as sns\n", "sns.set(style=\"ticks\")\n", "\n", "df_market_cap = pd.read_csv('ftse_100_market_cap_7.csv')\n", "\n", "display(sns.lmplot(\"W2V Similarity\", \"Correlation\", data=df_market_cap))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$R^2 = 0.179$$" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FCu0xt9vNjh072LdvHwUFBRw7dowvf/nLKY+3a9cudu3alXBfe3s7W7duTedj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\n2xs326E32cd3c7Ocs6yG1i68VXIBjW19FoxjE1RYNHscFme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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_market_cap = pd.read_csv('ftse_100_market_cap_12.csv')\n", "\n", "display(sns.lmplot(\"W2V Similarity\", \"Correlation\", data=df_market_cap))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$R^2 = 0.333$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Remarks\n", "\n", "- Wikipedia, an unconventional source of unstructured data, has explanatory power for financial variables\n", "\n", "- Graph-based similarity \n", " - does not capture similarity so well within a specific topic\n", " - categories are too broad - e.g. \"Companies listed on the London Stock Exchange\", \"Companies based in London\" \n", "\n", "- Context-based similarity (Word2Vec)\n", " - more powerful measure, captures similarity between words, topics\n", "\n", "- A lot more to be gained from industry-specific documents\n", " - e.g. annual reports, conference call transcripts" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Applications\n", "\n", "- predicting financial figures solely based on unstructured data or using hybrid models (unstructured + structured data)\n", "\n", "- estimating financial figures, ratios or statistical moments when relevant quantitative data is not available \n", " - e.g. the time preceding an IPO" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Resources\n", "\n", "- Word2Vec and Wiki2Vec\n", " - Tomas Mikolov, Ilya Sutskever, Kai Chen, Greg Corrado, and Jeffrey Dean. Distributed Representations of Words and Phrases and their Compositionality. In Proceedings of NIPS, 2013.\n", " - [Word2Vec code repository](https://code.google.com/archive/p/word2vec/)\n", " - [Word2Vec in gensim](https://radimrehurek.com/gensim/models/word2vec.html)\n", " - [Wiki2Vec](https://github.com/idio/wiki2vec)\n", " \n", "- Graph-Based Similarity\n", " - Agirre, Eneko, Ander Barrena, and Aitor Soroa. \"Studying the Wikipedia Hyperlink Graph for Relatedness and Disambiguation.\" arXiv preprint arXiv:1503.01655, 2015.\n", " - Delia Rusu. Text Annotation using Background Knowledge. PhD Thesis. Ljubljana, 2014.\n", " \n", "- Notebook for this presentation\n", " - https://github.com/deliarusu" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Thank You!\n", "\n", "# Questions?\n", "\n", "" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }