{"id":24967,"date":"2021-04-14T18:54:57","date_gmt":"2021-04-14T22:54:57","guid":{"rendered":"http:\/\/bangla.salearningschool.com\/recent-posts\/math-and-probability-for-data-science-root\/"},"modified":"2021-04-14T18:54:57","modified_gmt":"2021-04-14T22:54:57","slug":"math-and-probability-for-data-science-root","status":"publish","type":"post","link":"http:\/\/bangla.sitestree.com\/?p=24967","title":{"rendered":"Math and Probability for Data Science #Root"},"content":{"rendered":"<p>Math and Probability for Data Science<\/p>\n<p>Esp. for Reinforcement Learning<\/p>\n<p>Probability: cov(x,y): <a href=\"https:\/\/math.stackexchange.com\/questions\/1581773\/computing-the-covariance-of-flipping-a-coin-in-the-first-and-last-flips\">https:\/\/math.stackexchange.com\/questions\/1581773\/computing-the-covariance-of-flipping-a-coin-in-the-first-and-last-flips<\/a><\/p>\n<p>Fundamental Concept in Machine Learning<br \/>\n<a href=\"https:\/\/faculty.washington.edu\/tamre\/BayesTheorem.pdf\">https:\/\/faculty.washington.edu\/tamre\/BayesTheorem.pdf<\/a><\/p>\n<p>&#8212;-<\/p>\n<p>Lecture Slides &#8211; old book<br \/>\n<a href=\"https:\/\/www.inf.ed.ac.uk\/teaching\/courses\/rl\/lecturelist.html\">https:\/\/www.inf.ed.ac.uk\/teaching\/courses\/rl\/lecturelist.html<\/a><\/p>\n<p>&#8212;<br \/>\nColor :<br \/>\n<a href=\"https:\/\/digitalsynopsis.com\/design\/color-thesaurus-correct-names-of-shades\/\">https:\/\/digitalsynopsis.com\/design\/color-thesaurus-correct-names-of-shades\/<\/a><\/p>\n<p>Random Sum:<br \/>\n<a href=\"http:\/\/www.math.unl.edu\/~sdunbar1\/ProbabilityTheory\/Lessons\/Conditionals\/RandomSums\/randsum.shtml\">http:\/\/www.math.unl.edu\/~sdunbar1\/ProbabilityTheory\/Lessons\/Conditionals\/RandomSums\/randsum.shtml<\/a><\/p>\n<p>Simple probability examples:<br \/>\n<a href=\"http:\/\/jwilson.coe.uga.edu\/emt668\/emat6680.folders\/dickerson\/probability\/titled.html\">http:\/\/jwilson.coe.uga.edu\/emt668\/emat6680.folders\/dickerson\/probability\/titled.html<\/a><br \/>\n<a href=\"https:\/\/faculty.math.illinois.edu\/~kkirkpat\/SampleSpace.pdf\">https:\/\/faculty.math.illinois.edu\/~kkirkpat\/SampleSpace.pdf<\/a><\/p>\n<p>Series and Sum:<br \/>\n<a href=\"http:\/\/www.mathcentre.ac.uk\/resources\/uploaded\/mc-ty-convergence-2009-1.pdf\">http:\/\/www.mathcentre.ac.uk\/resources\/uploaded\/mc-ty-convergence-2009-1.pdf<\/a><\/p>\n<p>Reference:<br \/>\n<a href=\"http:\/\/www.sjsu.edu\/faculty\/watkins\/runs.htm\">http:\/\/www.sjsu.edu\/faculty\/watkins\/runs.htm<\/a><\/p>\n<p><a href=\"https:\/\/mathinsight.org\/image\/two_dice_distribution\">https:\/\/mathinsight.org\/image\/two_dice_distribution<\/a><br \/>\n<a href=\"http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html\">http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html<\/a><\/p>\n<p><a href=\"http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html\">http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html<\/a><br \/>\n<a href=\"https:\/\/www.texasgateway.org\/resource\/44-geometric-distribution-optional\">https:\/\/www.texasgateway.org\/resource\/44-geometric-distribution-optional<\/a><br \/>\n<a href=\"https:\/\/www.me.utexas.edu\/~jensen\/ORMM\/computation\/unit\/rvadd\/discrete_dist\/geometric.html\">https:\/\/www.me.utexas.edu\/~jensen\/ORMM\/computation\/unit\/rvadd\/discrete_dist\/geometric.html<\/a><br \/>\n<a href=\"http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html\">http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html<\/a><br \/>\n<a href=\"http:\/\/www.sjsu.edu\/faculty\/watkins\/runs.htm\">http:\/\/www.sjsu.edu\/faculty\/watkins\/runs.htm<\/a> From: https:\/\/sitestree.com\/math-and-probability-for-data-science\/<br \/> Categories:Root<br \/>Tags:<br \/> Post Data:2019-05-03 11:45:31<\/p>\n<p>\t\tShop Online: <a href='https:\/\/www.ShopForSoul.com\/' target='new' rel=\"noopener\">https:\/\/www.ShopForSoul.com\/<\/a><br \/>\n\t\t(Big Data, Cloud, Security, Machine Learning): Courses: <a href='http:\/\/Training.SitesTree.com' target='new' rel=\"noopener\"> http:\/\/Training.SitesTree.com<\/a><br \/>\n\t\tIn Bengali: <a href='http:\/\/Bangla.SaLearningSchool.com' target='new' rel=\"noopener\">http:\/\/Bangla.SaLearningSchool.com<\/a><br \/>\n\t\t<a href='http:\/\/SitesTree.com' target='new' rel=\"noopener\">http:\/\/SitesTree.com<\/a><br \/>\n\t\t8112223 Canada Inc.\/JustEtc: <a href='http:\/\/JustEtc.net' target='new' rel=\"noopener\">http:\/\/JustEtc.net (Software\/Web\/Mobile\/Big-Data\/Machine Learning) <\/a><br \/>\n\t\tShop Online: <a href='https:\/\/www.ShopForSoul.com'> https:\/\/www.ShopForSoul.com\/<\/a><br \/>\n\t\tMedium: <a href='https:\/\/medium.com\/@SayedAhmedCanada' target='new' rel=\"noopener\"> https:\/\/medium.com\/@SayedAhmedCanada <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Math and Probability for Data Science Esp. for Reinforcement Learning Probability: cov(x,y): https:\/\/math.stackexchange.com\/questions\/1581773\/computing-the-covariance-of-flipping-a-coin-in-the-first-and-last-flips Fundamental Concept in Machine Learning https:\/\/faculty.washington.edu\/tamre\/BayesTheorem.pdf &#8212;- Lecture Slides &#8211; old book https:\/\/www.inf.ed.ac.uk\/teaching\/courses\/rl\/lecturelist.html &#8212; Color : https:\/\/digitalsynopsis.com\/design\/color-thesaurus-correct-names-of-shades\/ Random Sum: http:\/\/www.math.unl.edu\/~sdunbar1\/ProbabilityTheory\/Lessons\/Conditionals\/RandomSums\/randsum.shtml Simple probability examples: http:\/\/jwilson.coe.uga.edu\/emt668\/emat6680.folders\/dickerson\/probability\/titled.html https:\/\/faculty.math.illinois.edu\/~kkirkpat\/SampleSpace.pdf Series and Sum: http:\/\/www.mathcentre.ac.uk\/resources\/uploaded\/mc-ty-convergence-2009-1.pdf Reference: http:\/\/www.sjsu.edu\/faculty\/watkins\/runs.htm https:\/\/mathinsight.org\/image\/two_dice_distribution http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html https:\/\/www.texasgateway.org\/resource\/44-geometric-distribution-optional https:\/\/www.me.utexas.edu\/~jensen\/ORMM\/computation\/unit\/rvadd\/discrete_dist\/geometric.html http:\/\/www.mathguide.com\/lessons2\/ExpectedValues.html http:\/\/www.sjsu.edu\/faculty\/watkins\/runs.htm From: https:\/\/sitestree.com\/math-and-probability-for-data-science\/ Categories:RootTags: Post &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"http:\/\/bangla.sitestree.com\/?p=24967\">Continue reading<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1917],"tags":[],"class_list":["post-24967","post","type-post","status-publish","format-standard","hentry","category-fromsitestree-com","item-wrap"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[{"id":16550,"url":"http:\/\/bangla.sitestree.com\/?p=16550","url_meta":{"origin":24967,"position":0},"title":"Part 3: Some Basic Math\/Stat Concepts for the wanna be Data Scientists","author":"Sayed","date":"December 30, 2019","format":false,"excerpt":"Conditional Probability and PDF \"The conditional probability of an event B is the probability that the event will occur given the knowledge that an event A has already occurred. This probability is written P(B|A), notation for the probability of B given A. \" \"In the case where events A and\u2026","rel":"","context":"In &quot;AI ML DS RL DL NN NLP Data Mining Optimization&quot;","block_context":{"text":"AI ML DS RL DL NN NLP Data Mining Optimization","link":"http:\/\/bangla.sitestree.com\/?cat=1910"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/bangla.sitestree.com\/wp-content\/uploads\/2019\/12\/image-8.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/bangla.sitestree.com\/wp-content\/uploads\/2019\/12\/image-8.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/bangla.sitestree.com\/wp-content\/uploads\/2019\/12\/image-8.png?resize=525%2C300 1.5x"},"classes":[]},{"id":16665,"url":"http:\/\/bangla.sitestree.com\/?p=16665","url_meta":{"origin":24967,"position":1},"title":"Bayesian Statistics and Machine Learning","author":"Sayed","date":"January 19, 2020","format":false,"excerpt":"Bayesian Statistics and Machine Learning \"Bayesian inference is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available. Bayesian inference is an important technique in statistics, and especially in mathematical statistics.\" en.wikipedia.org \u203a wiki \u203a\u2026","rel":"","context":"In &quot;AI ML DS RL DL NN NLP Data Mining Optimization&quot;","block_context":{"text":"AI ML DS RL DL NN NLP Data Mining Optimization","link":"http:\/\/bangla.sitestree.com\/?cat=1910"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/bangla.sitestree.com\/wp-content\/uploads\/2020\/01\/image-1.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":16532,"url":"http:\/\/bangla.sitestree.com\/?p=16532","url_meta":{"origin":24967,"position":2},"title":"Part 1: Some Math\/Stat Background that (true) Data Scientists will know\/use: from the internet","author":"Sayed","date":"December 28, 2019","format":false,"excerpt":"Chebyshev's inequality \"In probability theory, Chebyshev's inequality (also called the Bienaym\u00e9\u2013Chebyshev inequality) guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean. Specifically, no more than 1\/k2 of the distribution's values can be\u2026","rel":"","context":"In &quot;Math and Statistics for Data Science, and Engineering&quot;","block_context":{"text":"Math and Statistics for Data Science, and Engineering","link":"http:\/\/bangla.sitestree.com\/?cat=1908"},"img":{"alt_text":"","src":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/85\/Discrete_probability_distrib.svg\/220px-Discrete_probability_distrib.svg.png","width":350,"height":200},"classes":[]},{"id":16755,"url":"http:\/\/bangla.sitestree.com\/?p=16755","url_meta":{"origin":24967,"position":3},"title":"KL Divergence: Entropy: Cross Entropy: Example Use Cases. Equations as well.","author":"Sayed","date":"February 6, 2020","format":false,"excerpt":"KL Divergence in Picture and Examples \"Kullback\u2013Leibler divergence is the difference between the Cross Entropy H for PQ and the true Entropy H for P.\" [1] \"And this is what we use as a loss function while training Neural Networks. When we have an image classification problem, the training data\u2026","rel":"","context":"In &quot;AI ML DS RL DL NN NLP Data Mining Optimization&quot;","block_context":{"text":"AI ML DS RL DL NN NLP Data Mining Optimization","link":"http:\/\/bangla.sitestree.com\/?cat=1910"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/bangla.salearningschool.com\/wp-content\/uploads\/2020\/02\/image-9.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/bangla.salearningschool.com\/wp-content\/uploads\/2020\/02\/image-9.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/bangla.salearningschool.com\/wp-content\/uploads\/2020\/02\/image-9.png?resize=525%2C300 1.5x"},"classes":[]},{"id":16536,"url":"http:\/\/bangla.sitestree.com\/?p=16536","url_meta":{"origin":24967,"position":4},"title":"Part 2: Some basic Math\/Statistics concepts that Data Scientists (the true ones) will usually know\/use","author":"Sayed","date":"December 29, 2019","format":false,"excerpt":"Part 2: Some basic Math\/Statistics concepts that Data Scientists (the true ones) will usually know\/use (came across, studied, learned, used) Covariance and Correlation \"Covariance is a measure of how two variables change together, but its magnitude is unbounded, so it is difficult to interpret. By dividing covariance by the product\u2026","rel":"","context":"In &quot;Math and Statistics for Data Science, and Engineering&quot;","block_context":{"text":"Math and Statistics for Data Science, and Engineering","link":"http:\/\/bangla.sitestree.com\/?cat=1908"},"img":{"alt_text":"[eq5]","src":"https:\/\/i0.wp.com\/www.statlect.com\/images\/covariance-formula__12.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":17441,"url":"http:\/\/bangla.sitestree.com\/?p=17441","url_meta":{"origin":24967,"position":5},"title":"MISC STATistic PROBability LINEAR ALGebra MATRIX","author":"Sayed","date":"September 14, 2020","format":false,"excerpt":"MISC STAT PROB LINEAR ALG MATRIX PDF AND Stock and Bell Curve: https:\/\/www.investopedia.com\/terms\/p\/pdf.asp PDF in Khan Academy: https:\/\/www.khanacademy.org\/math\/statistics-probability\/random-variables-stats-library\/random-variables-continuous\/v\/probability-density-functions Mixed Random Variable https:\/\/www.youtube.com\/watch?v=ZXJjuRAXMhE \"The variance and the standard deviation are measures of the spread of the data around the mean. They summarise how close each observed data value is to the\u2026","rel":"","context":"In &quot;\u09ac\u09cd\u09b2\u0997 \u0964 Blog&quot;","block_context":{"text":"\u09ac\u09cd\u09b2\u0997 \u0964 Blog","link":"http:\/\/bangla.sitestree.com\/?cat=182"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts\/24967","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24967"}],"version-history":[{"count":0,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts\/24967\/revisions"}],"wp:attachment":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24967"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24967"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24967"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}