{"id":42057,"date":"2022-12-19T16:12:40","date_gmt":"2022-12-19T05:12:40","guid":{"rendered":"https:\/\/www.institutedata.com\/blog\/exploring-the-applications-of-mathematics-and-statistics-in-machine-learning-and-ai-2\/"},"modified":"2023-06-06T11:11:07","modified_gmt":"2023-06-06T00:11:07","slug":"exploring-the-applications-of-mathematics-and-statistics-in-machine-learning-and-ai-2","status":"publish","type":"post","link":"https:\/\/www.institutedata.com\/us\/blog\/exploring-the-applications-of-mathematics-and-statistics-in-machine-learning-and-ai-2\/","title":{"rendered":"Exploring the applications of mathematics and statistics in machine learning and AI"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">A very common question when considering a <\/span><span style=\"font-weight: 400;\">career change<\/span><span style=\"font-weight: 400;\"> to <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\"> and machine learning is, how important is maths in <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\"> and machine learning?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Mathematics is a <\/span><span style=\"font-weight: 400;\">tool used<\/span><span style=\"font-weight: 400;\"> to understand how we function in this world. Bertrand Russell, the philosopher who proved through deduction logic that one plus one equals two, stated that the true spirit of delight is to be found in mathematics as surely as in poetry.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This article is going to answer your questions regarding the relationship between mathematics and data science. Once you have explored the <\/span><span style=\"font-weight: 400;\">applications of mathematics and statistics<\/span><span style=\"font-weight: 400;\"> in machine learning and AI, you will discover the exciting <\/span><span style=\"font-weight: 400;\">career prospects<\/span><span style=\"font-weight: 400;\"> that are in store for you. <\/span><\/p>\n<h2><b>How is mathematics and statistics used in machine learning and AI?<\/b><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-43892 size-full\" src=\"https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning.png\" alt=\"application of math in machine learning and AI\" width=\"1200\" height=\"900\" srcset=\"https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning.png 1200w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-300x225.png 300w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-1024x768.png 1024w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-768x576.png 768w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-380x285.png 380w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-20x15.png 20w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-190x143.png 190w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-760x570.png 760w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-1140x855.png 1140w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-machine-learning-600x450.png 600w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Mathematics and statistics<\/span><span style=\"font-weight: 400;\"> are fundamental concepts in <\/span><span style=\"font-weight: 400;\">machine learning<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">AI<\/span><span style=\"font-weight: 400;\">. Mathematics is essentially a numerical method of expressing ideas. Statistics is a more abstract form of communicating ideas.<\/span><\/p>\n<p>The simplest way to define <span style=\"font-weight: 400;\">artificial intelligence<\/span><span style=\"font-weight: 400;\"> (<\/span><span style=\"font-weight: 400;\">AI<\/span><span style=\"font-weight: 400;\">) is machine learning from experience. <\/span><span style=\"font-weight: 400;\">Machine learning<\/span><span style=\"font-weight: 400;\"> goes a step further to formulate decisions with the results from its experience.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The <\/span><span style=\"font-weight: 400;\">application of mathematics and statistics<\/span><span style=\"font-weight: 400;\"> underpins the coding within machines. Data scientists are tasked with wrangling and extracting insight from data using mathematical<\/span><span style=\"font-weight: 400;\"> models<\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p>Then, m<span style=\"font-weight: 400;\">achine learning<\/span> <span style=\"font-weight: 400;\">algorithms<\/span><span style=\"font-weight: 400;\"> use this data to recount a story by further data analysis. Stakeholders can use these predictions and data patterns to make more informed business decisions.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Mathematics and statistics are key tools in data science, machine learning, and AI to extract insight and uncover hidden patterns in the data.<\/span><\/p>\n<p>Once you have developed a conceptual and practical understanding of <span style=\"font-weight: 400;\">mathematics and statistics<\/span><span style=\"font-weight: 400;\"> for data science and AI, you will be able to produce more innovative solutions and methods of handling data and visualizing your findings. <\/span><\/p>\n<h2><b>You may already have the level of mathematics skills required to upskill in data science<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">A number of <\/span><span style=\"font-weight: 400;\">professionals<\/span><span style=\"font-weight: 400;\"> already have the <\/span><span style=\"font-weight: 400;\">level of maths required<\/span><span style=\"font-weight: 400;\"> to upskill in data science easily<\/span><span style=\"font-weight: 400;\">.\u00a0<\/span><\/p>\n<h3><strong>Accountants<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">Accountants have the <\/span><span style=\"font-weight: 400;\">mathematics and statistics<\/span><span style=\"font-weight: 400;\"> knowledge required for a <\/span><span style=\"font-weight: 400;\">career change<\/span><span style=\"font-weight: 400;\"> to <\/span><span style=\"font-weight: 400;\">data science.<\/span><span style=\"font-weight: 400;\"> Your skills in logic and problem-solving will definitely assist you with understanding the underlying concepts of <\/span><span style=\"font-weight: 400;\">machine learning<\/span><span style=\"font-weight: 400;\">.\u00a0<\/span><\/p>\n<h3><strong>Actuaries<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">Data science<\/span><span style=\"font-weight: 400;\"> is transforming the insurance industry and the way in which actuaries predict financial risks. There is an extensive <\/span><span style=\"font-weight: 400;\">level of maths required<\/span><span style=\"font-weight: 400;\"> in order to calculate and contain risk. <a href=\"https:\/\/www.bls.gov\/ooh\/math\/actuaries.htm#tab-2\" target=\"_blank\" rel=\"noopener\">Actuaries<\/a> collate all the raw statistical data in order to present quantitative data.\u00a0<\/span><\/p>\n<h3><strong>Insurance underwriters<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">Similar to actuaries, insurance underwriters have the <\/span><span style=\"font-weight: 400;\">level of maths required<\/span><span style=\"font-weight: 400;\"> to upskill to data science quickly<\/span><span style=\"font-weight: 400;\">. Underwriters use maths constantly in their work in order to accurately generate rates for risk and manage the capacity levels and risk loss ratios of individual risk.<\/span><\/p>\n<h3><strong>Financial analysts<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">Financial analysts have a number of <\/span><span style=\"font-weight: 400;\">transferrable skills<\/span><span style=\"font-weight: 400;\"> to understand the essentials of machine learning. Financial analysts <\/span><span style=\"font-weight: 400;\">solve problems<\/span><span style=\"font-weight: 400;\"> with <\/span><span style=\"font-weight: 400;\">tools used<\/span><span style=\"font-weight: 400;\"> in <\/span><span style=\"font-weight: 400;\">data science,<\/span><span style=\"font-weight: 400;\"> such as <\/span><span style=\"font-weight: 400;\">mathematical models<\/span><span style=\"font-weight: 400;\">.\u00a0<\/span><\/p>\n<h3><strong>Statisticians<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">Statistics is a fundamental component of <\/span><span style=\"font-weight: 400;\">machine learning,<\/span><span style=\"font-weight: 400;\"> and statisticians can <\/span><span style=\"font-weight: 400;\">easily upskill<\/span><span style=\"font-weight: 400;\"> with their existing knowledge. The only way to represent data is with a statistical framework. Data scientists work with statistics to optimize the performance of machines with the final outcome of interpreting data. <\/span><\/p>\n<h2><b>The current applications of mathematics and statistics in data science<\/b><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-43896 size-full\" src=\"https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science.png\" alt=\"math and data science with machine learning and AI\" width=\"1200\" height=\"900\" srcset=\"https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science.png 1200w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-300x225.png 300w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-1024x768.png 1024w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-768x576.png 768w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-380x285.png 380w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-20x15.png 20w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-190x143.png 190w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-760x570.png 760w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-1140x855.png 1140w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/math-and-data-science-600x450.png 600w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Mathematics and statistics<\/span><span style=\"font-weight: 400;\"> play a central role in <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\">. A data scientist who cannot grasp maths is similar to a musician who cannot play a musical instrument well. You can only really go so far with limited skills.<\/span><\/p>\n<p>While many articles state that maths is not important and not needed, that argument is challenged by examples of the current <span style=\"font-weight: 400;\">applications of mathematics and statistics<\/span><span style=\"font-weight: 400;\"> in <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\">:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Calculus \u2013 lower the error of machine learning predictions\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Linear algebra \u2013 helps interpret the data collected\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Mathematical models<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">algorithms<\/span><span style=\"font-weight: 400;\"> \u2013 equations and functions are used to predict potential data and decide how to make the best use of the data<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Optimization \u2013 formulate the best outcome or performance\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Probability \u2013 continue developing <\/span><span style=\"font-weight: 400;\">AI\u2019<\/span><span style=\"font-weight: 400;\">s ability to make decisions\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Statistics \u2013 underpins <\/span><span style=\"font-weight: 400;\">machine learning<\/span><span style=\"font-weight: 400;\">\u00a0\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">In summary, you could get away with no maths background with entry-level <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\"> roles. However, the more exciting tasks involve <\/span><span style=\"font-weight: 400;\">essential concepts<\/span><span style=\"font-weight: 400;\"> in <\/span><span style=\"font-weight: 400;\">mathematics and statistics<\/span><span style=\"font-weight: 400;\">. You will find that your <\/span><span style=\"font-weight: 400;\">career prospects<\/span><span style=\"font-weight: 400;\"> will have a wider scope once you have developed the <\/span><span style=\"font-weight: 400;\">level of maths required<\/span><span style=\"font-weight: 400;\">. <\/span><\/p>\n<h2><b>How can I learn the level of maths needed for data science?\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Please do not fear if maths is not your strong point! Mathematics is like driving; the more experience and exposure you have, the more confident you are to assess what is ahead of you. In essence, mathematics is really about searching for the truth using logic, and your determination to study maths is what will help you learn.\u00a0<\/span><\/p>\n<p>A conceptual understanding of mathematics and statistics is a great foundational knowledge base for becoming trained in the practical applications of statistics and mathematics for data science. Ultimately, you will need to understand the level of mathematics you will be required to use on the job in the data science industry.<\/p>\n<p><span style=\"font-weight: 400;\">To accelerate your study, completing an industry-level course that teaches you the practical mathematics required for a career change to data science would be beneficial<\/span><span style=\"font-weight: 400;\">. This will relieve the stress associated with the pressures of self-learning and will give you the opportunity to learn from industry practitioners.\u00a0<\/span><\/p>\n<h2><b>The emerging job opportunities in machine learning and AI.<\/b><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-43888 size-full\" src=\"https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai.png\" alt=\"learning Applications of Mathematics and Statistics in Machine Learning and Ai\" width=\"1200\" height=\"900\" srcset=\"https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai.png 1200w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-300x225.png 300w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-1024x768.png 1024w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-768x576.png 768w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-380x285.png 380w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-20x15.png 20w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-190x143.png 190w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-760x570.png 760w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-1140x855.png 1140w, https:\/\/www.institutedata.com\/wp-content\/uploads\/2022\/12\/machine-learning-and-ai-600x450.png 600w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">The <\/span><span style=\"font-weight: 400;\">emerging job opportunities<\/span><span style=\"font-weight: 400;\"> in <\/span><span style=\"font-weight: 400;\">machine learning<\/span><span style=\"font-weight: 400;\"> and AI spans nearly every industry.\u00a0<\/span><span style=\"font-weight: 400;\">The <\/span><span style=\"font-weight: 400;\">future outlook<\/span><span style=\"font-weight: 400;\"> for data scientists is very promising because every sector works with data in some form.<\/span><\/p>\n<p>Industries are struggling to cope with the influx of data that is bombarding their systems, with many companies hiring data science talent to organize their messy data. Data science skills have been continually forecasted to be <span style=\"font-weight: 400;\">in demand.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">We are living in a data-driven world. <\/span><span style=\"font-weight: 400;\">Many professions<\/span><span style=\"font-weight: 400;\"> can benefit from <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\"> skills to help them understand the data they are working with.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here are the top three <\/span><span style=\"font-weight: 400;\">in-demand<\/span><span style=\"font-weight: 400;\"> roles in data:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Machine learning engineer<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Data scientist<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Business intelligence developer\u00a0<\/span><\/li>\n<\/ol>\n<h2><strong>Conclusion<\/strong><\/h2>\n<p><span style=\"font-weight: 400;\">A conceptual understanding of <\/span><span style=\"font-weight: 400;\">mathematics and statistics<\/span><span style=\"font-weight: 400;\"> will broaden your <\/span><span style=\"font-weight: 400;\">career prospects<\/span><span style=\"font-weight: 400;\"> in <\/span><span style=\"font-weight: 400;\">machine learning<\/span><span style=\"font-weight: 400;\"> and <\/span><span style=\"font-weight: 400;\">AI<\/span><span style=\"font-weight: 400;\"> and take you further in your <\/span><span style=\"font-weight: 400;\">data science<\/span><span style=\"font-weight: 400;\"> career.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Continue exploring your <\/span><span style=\"font-weight: 400;\">career prospects<\/span><span style=\"font-weight: 400;\"> in data science by booking a consultation with an Institute of Data consultant now.<\/span> <a href=\"https:\/\/www.institutedata.com\/us\/consultation\/\">Click here to schedule a call.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A very common question when considering a career change to data science and machine learning is, how important is maths in data science and machine learning? Mathematics is a tool used to understand how we function in this world. Bertrand Russell, the philosopher who proved through deduction logic that one plus one equals two, stated&hellip;<\/p>\n","protected":false},"author":1,"featured_media":45002,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[596,617,949],"tags":[626,625,627,796],"class_list":["post-42057","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-career-change-us","category-data-skills-us","category-job-opportunities-us","tag-ai-3","tag-data-science-5","tag-machine-learning-3","tag-programming-and-data-science-sg-us"],"_links":{"self":[{"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/posts\/42057","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/comments?post=42057"}],"version-history":[{"count":0,"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/posts\/42057\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/media\/45002"}],"wp:attachment":[{"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/media?parent=42057"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/categories?post=42057"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.institutedata.com\/us\/wp-json\/wp\/v2\/tags?post=42057"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}