{"id":80225,"date":"2020-10-02T13:00:05","date_gmt":"2020-10-02T10:00:05","guid":{"rendered":"https:\/\/en.buradabiliyorum.com\/a-beginners-guide-to-the-math-that-powers-machine-learning\/"},"modified":"2020-10-02T13:00:05","modified_gmt":"2020-10-02T10:00:05","slug":"a-beginners-guide-to-the-math-that-powers-machine-learning","status":"publish","type":"post","link":"https:\/\/buradabiliyorum.com\/en\/a-beginners-guide-to-the-math-that-powers-machine-learning\/","title":{"rendered":"#A beginner\u2019s guide to the math that powers machine learning"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_84 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-6a294bdf15cf7\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #dd3333;color:#dd3333\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #dd3333;color:#dd3333\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-6a294bdf15cf7\" checked aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/buradabiliyorum.com\/en\/a-beginners-guide-to-the-math-that-powers-machine-learning\/#Start_with_the_basics\" >Start with the basics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/buradabiliyorum.com\/en\/a-beginners-guide-to-the-math-that-powers-machine-learning\/#Specialized_books_and_courses_on_machine_learning_math\" >Specialized books and courses on machine learning math<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/buradabiliyorum.com\/en\/a-beginners-guide-to-the-math-that-powers-machine-learning\/#When_should_you_learn_machine_learning_mathematics\" >When should you learn machine learning mathematics?<\/a><\/li><\/ul><\/nav><\/div>\n<p>&#8220;<strong>#A beginner\u2019s guide to the math that powers machine learning<\/strong>&#8221;<\/p>\n<div>\n                                How much math knowledge do you need for machine learning and deep learning? Some people say not much. Others say a lot. Both are correct, depending on what you want to achieve.<\/p>\n<p>There are plenty of programming libraries, code snippets, and pretrained models that can get help you integrate machine learning into your <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/download-scripts-themes-apps\/\" data-internallinksmanager029f6b8e52c=\"9\" title=\"Download Scripts &amp; Themes &amp; Apps\" target=\"_blank\" rel=\"noopener\">app<\/a>lications without having a deep knowledge of the underlying math functions.<\/p>\n<p>But there\u2019s no escaping the mathematical foundations of<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2017\/08\/28\/artificial-intelligence-machine-learning-deep-learning\/\">machine learning<\/a>. At some point in your exploration and mastering of artificial intelligence, you\u2019ll need to come to terms with the lengthy and complicated equations that adorn AI whitepapers and machine learning textbooks.<\/p>\n<p>In this post, I will introduce some of my favorite machine learning math resources. And while I don\u2019t expect you to have fun with machine learning math, I will also try my best to give you some guidelines on how to make the journey a bit more pleasant.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Start_with_the_basics\"><\/span>Start with the basics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<figure class=\"wp-block-image size-large\">\n<figure class=\"post-image post-mediaBleed aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"jetpack-lazy-image jetpack-lazy-image--handled wp-image-8328 lazy\" sizes=\"auto, (max-width: 696px) 100vw, 696px\" alt=\"Khan academy linear algebra\" width=\"696\" height=\"454\" data-attachment-id=\"8328\" data-permalink=\"https:\/\/bdtechtalks.com\/2020\/09\/23\/machine-learning-mathematics\/khan-academy-linear-algebra\/\" data-orig-file=\"https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?fit=2655%2C1732&amp;ssl=1\" data-orig-size=\"2655,1732\" data-comments-opened=\"1\" data-image-meta=\"{\" aperture=\"\" data-image-title=\"Khan academy linear algebra\" data-image-description=\"\" data-medium-file=\"https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?fit=300%2C196&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?fit=696%2C454&amp;ssl=1\" data-recalc-dims=\"1\" data-lazy-loaded=\"1\" src=\"https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=696%2C454&amp;ssl=1\" data-lazy=\"true\" srcset=\"https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=1024%2C668&amp;ssl=1 1024w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=300%2C196&amp;ssl=1 300w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=768%2C501&amp;ssl=1 768w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=1536%2C1002&amp;ssl=1 1536w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=2048%2C1336&amp;ssl=1 2048w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=696%2C454&amp;ssl=1 696w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=1068%2C697&amp;ssl=1 1068w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=644%2C420&amp;ssl=1 644w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?resize=1920%2C1253&amp;ssl=1 1920w, https:\/\/i0.wp.com\/bdtechtalks.com\/wp-content\/uploads\/2020\/09\/Khan-academy-linear-algebra.jpg?w=1392&amp;ssl=1 1392w\"\/><figcaption><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/thenextweb.com\/neural\/2020\/10\/02\/a-beginners-guide-to-the-math-that-powers-machine-learning-syndication\/#\" data-url=\"https:\/\/twitter.com\/intent\/tweet?url=https%3A%2F%2Fthenextweb.com%2Fneural%2F2020%2F10%2F02%2Fa-beginners-guide-to-the-math-that-powers-machine-learning-syndication%2F&amp;via=thenextweb&amp;related=thenextweb&amp;text=Check out this picture on: Khan Academy\u2019s online courses are an excellent resource to acquire math skills for machine learning\" data-title=\"Share Khan Academy\u2019s online courses are an excellent resource to acquire math skills for machine learning on Twitter\" data-width=\"685\" data-height=\"500\" class=\"post-image-share popitup\" title=\"Share Khan Academy\u2019s online courses are an excellent resource to acquire math skills for machine learning on Twitter\"><i class=\"icon icon--inline icon--twitter--dark\"\/><\/a>Khan Academy\u2019s online courses are an excellent resource to acquire math skills for machine learning<\/figcaption><\/figure>\n<\/p>\n<\/figure>\n<p>Many machine learning books tell you that having a working knowledge of linear algebra. I would argue that you need a lot more than that. Extensive experience with linear algebra is a must-have\u2014machine learning algorithms squeeze every last bit out of vector spaces and matrix mathematics.<\/p>\n<p>You also need to know a good bit of statistics and probability, as well as differential and integral calculus, especially if you want to become more involved in<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2019\/02\/15\/what-is-deep-learning-neural-networks\/\">deep learning<\/a>.<\/p>\n<p>There are plenty of good textbooks, online courses, and blogs that explore these topics. But my personal favorite is<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/www.khanacademy.org\/math\">Khan Academy\u2019s math courses<\/a>. Sal Khan has done a great job of putting together a comprehensive collection of videos that explain different math topics. And it\u2019s free, which makes it even better.<\/p>\n<p>Although each of the videos (which are also available on <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/social-mediaa\/\" data-internallinksmanager029f6b8e52c=\"1\" title=\"Social Media\" target=\"_blank\" rel=\"noopener\">YouTube<\/a>) explain a separate topic, going through the courses end-to-end provides a much richer experience.<\/p>\n<p>I recommend the<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/www.khanacademy.org\/math\/linear-algebra\">linear algebra<\/a><span>\u00a0course<\/span> in particular. Here, you\u2019ll find everything you need about vector spaces, linear transformations, matrix transformations, and coordinate systems. The course has not been tailored for machine learning, and many of the examples are about 2D and 3D graphic systems, which are much easier to visualize than the multidimensional spaces of machine learning problems. But they discuss the same concepts you\u2019ll encounter in machine learning books and whitepapers. In the course are some hidden gems like least square calculations and eigenvectors, which are important topics in machine learning.<\/p>\n<p>The calculus course are a bit more fragmented, but it might be a good feature for readers who already have a strong foundation and just want to brush up their skills. Khan includes precalculus, differential calculus, and integral calculus courses that cover the foundations. The<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/www.khanacademy.org\/math\/multivariable-calculus\">multivariable calculus course<\/a><span>\u00a0<\/span>discusses some of the topics that are central to deep learning, such as gradient descent and partial derivatives.<\/p>\n<p>There are also several statistics courses in Khan Academy\u2019s platform, and there are some overlaps between them. They all discuss some of the key concepts you need in data <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/sciencee\/\" data-internallinksmanager029f6b8e52c=\"5\" title=\"Science\" target=\"_blank\" rel=\"noopener\">science<\/a> and machine learning, such as random variables, distributions, confidence intervals, and the difference between continuous and categorical data. I recommend the<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/www.khanacademy.org\/math\/ap-statistics\">college statistics course<\/a>, which includes some extra material that is relevant to machine learning, such as the Bayes theorem.<\/p>\n<p>To be clear, Khan Academy\u2019s courses are not a replacement for the math textbook and classroom. They are not very rich in exercises. But they are very rich in examples, and for someone who just needs to blow the dust off their algebra knowledge, they\u2019re great. Sal talks very slowly, probably to make the videos usable for a wider audience who are not native English speakers. I run the videos on 1.5x speed and have no problem understanding them, so don\u2019t let the video lengths taunt you.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Specialized_books_and_courses_on_machine_learning_math\"><\/span>Specialized books and courses on machine learning math<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Vanilla algebra and calculus are not enough to get comfortable with the mathematics of machine learning. Machine learning concepts such as loss functions, learning rate, activation functions, and dimensionality reduction are not covered in classic math books. There are more specialized resources for that.<\/p>\n<p>My favorite is<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/mml-book.github.io\/\"><em>Mathematics for Machine Learning<\/em><\/a>. Written by three AI researchers, the provides you with a strong foundation to explore the workings of different components of machine learning algorithms.<\/p>\n<p>The book is split into two parts. The first part is mathematical foundations, which is basically a revision of key linear algebra and calculus concepts. The authors cover a lot of material in little more than 200 pages, so most of it is skimmed over with one or two examples. If you have a strong foundation, this part will be a pleasant read. If you find it hard to grasp, you can combine the chapters with select videos from Khan\u2019s YouTube channel. It\u2019ll become much easier.<\/p>\n<p>The second part of the book focuses on machine learning mathematics. You\u2019ll get into topics such as regression, dimensionality reduction, support vector machines, and more. There\u2019s no discussion of<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2019\/08\/05\/what-is-artificial-neural-network-ann\/\">artificial neural networks<\/a><span>\u00a0<\/span>and deep learning concepts, but being focused on the basics makes this book a very good introduction to the mathematics of machine learning.<\/p>\n<p>As the authors write on their website: \u201cThe book is not intended to cover advanced machine learning techniques because there are already plenty of books doing this. Instead, we aim to provide the necessary mathematical skills to read those other books.\u201d<\/p>\n<p>For a more advanced take on deep learning, I recommend<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/www.packtpub.com\/product\/hands-on-mathematics-for-deep-learning\/9781838647292\"><em>Hands-on Mathematics for Deep Learning<\/em><\/a>. This book also contains an intro on linear algebra, calculus, and probability and statistics. Again, this section is for people who just want to jar their memory. It\u2019s not a basic introductory book.<\/p>\n<p>The real value of this book comes in the second section, where you go into the mathematics of multilayer perceptrons,<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/01\/06\/convolutional-neural-networks-cnn-convnets\/\">convolutional neural networks<\/a><span>\u00a0<\/span>(CNN), and<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/06\/08\/what-is-recurrent-neural-network-rnn\/\">recurrent neural networks<\/a><span>\u00a0<\/span>(RNN). The book also goes into the logic of other crucial concepts such as regularization (L1 and L2 norm), dropout layers, and more.<\/p>\n<p>These are concepts that you\u2019ll encounter in most books on machine learning and deep learning. But knowing the mathematical foundations will help you better understand the role hyperparameters play in improving the performance of your machine learning models.<\/p>\n<p>A bonus section dives into advanced deep learning concepts, such as the attention mechanism that has made Transformers so efficient and popular, generative models such as autoencoders and<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2018\/05\/28\/generative-adversarial-networks-artificial-intelligence-ian-goodfellow\/\">generative adversarial networks<\/a>, and the mathematics of<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2019\/06\/10\/what-is-transfer-learning\/\">transfer learning<\/a>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"When_should_you_learn_machine_learning_mathematics\"><\/span>When should you learn machine learning mathematics?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Agreeably, mathematics is not the most fun way to start machine learning education, especially if you\u2019re self-learning. Fortunately, as I said at the beginning of this article, you don\u2019t need to begin your machine learning education by poring over double integrals, partial derivatives, and mathematical equations that span a page\u2019s width.<\/p>\n<p>You can start with some of the more practical resources on data science and machine learning. A good introductory book is<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/01\/27\/data-science-machine-learning-book-reviews\/\"><em>Principles of Data Science<\/em><\/a>, which gives you a good overview of data science and machine learning fundamentals along with hands-on coding examples in Python and light mathematics.<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/07\/22\/hands-on-machine-learning-2nd-edition-review\/\"><em>Hands-on Machine Learning<\/em><\/a> and<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/06\/03\/python-machine-learning-3rd-edition-review\/\"><em>Python Machine Learning<\/em><\/a><span>\u00a0<\/span>are two other books that are a little more advanced and also give deeper coverage of the mathematical concepts. Udemy\u2019s<span>\u00a0<\/span><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/03\/11\/udemy-machine-learning-online-course-review\/\">Machine Learning A-Z<\/a><span>\u00a0<\/span>is an online course that combines coding with visualization in a very intuitive way.<\/p>\n<p>I would recommend starting with one or two of the above-mentioned books and courses. They will give you a working knowledge of the basics of machine learning and deep learning and prepare your mind for the mathematical foundations. Once you know have a solid grasp of different machine learning algorithms, learning the mathematical foundations becomes much more pleasant.<\/p>\n<p>As you master the mathematics of machine learning, you will find it easier to find new ways to optimize your models and tweak them for better performance. You\u2019ll also be able to read the latest cutting edge papers that explain the latest findings and techniques in deep learning, and you\u2019ll be able to integrate them into your applications. In my experience, the mathematics of machine learning is an ongoing educational experience. Always look for new ways to hone your skills.<\/p>\n<p><i><span style=\"font-weight: 400;\">This article was originally published by Ben Dickson on <\/span><\/i><a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/\"><i><span style=\"font-weight: 400;\">TechTalks<\/span><\/i><\/a><i><span style=\"font-weight: 400;\">, a publication that examines trends in <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/technology\/\" data-internallinksmanager029f6b8e52c=\"4\" title=\"Technology\" target=\"_blank\" rel=\"noopener\">technology<\/a>, how they affect the way we live and do business, and the problems they solve. But we also discuss the evil side of technology, the darker implications of new tech and what we need to look out for. You can read the original article <a rel=\"nofollow noopener noreferrer\" target=\"_blank\" href=\"https:\/\/bdtechtalks.com\/2020\/09\/23\/machine-learning-mathematics\/\">here<\/a>.<\/span><\/i><\/p>\n<p class=\"c-post-pubDate\">\n                                    Published October 2, 2020 \u2014 10:00 UTC<\/p><\/div>\n<p><script async src=\"\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script><script data-src=\"https:\/\/connect.facebook.net\/en_US\/sdk.js#xfbml=1&amp;appId=378011798897423&amp;version=v2.6\" id=\"socialSrcFacebook\" type=\"text\/template\"><\/script><\/p>\n<blockquote>\n<p style=\"text-align: center;\">For forums sites go to <span style=\"color: #ff9900;\"><a style=\"color: #ff9900;\" href=\"https:\/\/forum.buradabiliyorum.com\/\" target=\"_blank\" rel=\"noopener noreferrer\">Forum.BuradaBiliyorum.Com<\/a><\/span><\/strong><\/p>\n<\/blockquote>\n<blockquote>\n<p style=\"text-align: center;\"><strong>If you want to read more like this article, you can visit our <span style=\"color: #ff9900;\"><a style=\"color: #ff9900;\" href=\"https:\/\/en.buradabiliyorum.com\/technology\/\" target=\"_blank\" rel=\"noopener noreferrer\">Technology category.<\/a><\/span><\/strong><\/p>\n<\/blockquote>\n<p><span style=\"color: black;\"><a style=\"color: #ff9900;\" href=\"https:\/\/thenextweb.com\/neural\/2020\/10\/02\/a-beginners-guide-to-the-math-that-powers-machine-learning-syndication\/\" target=\"_blank\" rel=\"noopener noreferrer\">Source<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;#A beginner\u2019s guide to the math that powers machine learning&#8221; How much math knowledge do you need for machine learning and deep learning? Some people say not much. Others say a lot. Both are correct, depending on what you want to achieve. There are plenty of programming libraries, code snippets, and pretrained models that can&#8230;<\/p>\n","protected":false},"author":1,"featured_media":80226,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img-cdn.tnwcdn.com\/image\/neural?filter_last=1&fit=1280,640&url=https:\/\/cdn0.tnwcdn.com\/wp-content\/blogs.dir\/1\/files\/2020\/10\/image-7.png&signature=3f93c75dacd135ac934d0404eab23c5d","fifu_image_alt":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-80225","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-technology"],"_links":{"self":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts\/80225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/comments?post=80225"}],"version-history":[{"count":0,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts\/80225\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/media\/80226"}],"wp:attachment":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/media?parent=80225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/categories?post=80225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/tags?post=80225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}