{"id":6062,"date":"2024-02-14T11:26:00","date_gmt":"2024-02-14T11:26:00","guid":{"rendered":"https:\/\/www.pickl.ai\/blog\/?post_type=web-story&#038;p=6062"},"modified":"2024-02-14T12:47:58","modified_gmt":"2024-02-14T12:47:58","slug":"the-mathematics-of-data-science","status":"publish","type":"web-story","link":"https:\/\/www.pickl.ai\/blog\/web-stories\/the-mathematics-of-data-science\/","title":{"rendered":"The Mathematics of Data Science"},"content":{"rendered":"<p><html amp=\"\" lang=\"en\"><head><meta charSet=\"utf-8\"\/><meta name=\"viewport\" content=\"width=device-width,minimum-scale=1,initial-scale=1\"\/><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0.js\"><\/script><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0\/amp-story-1.0.js\" custom-element=\"amp-story\"><\/script><link href=\"https:\/\/fonts.googleapis.com\/css2?display=swap&amp;family=Lora%3Awght%40700\" rel=\"stylesheet\"\/>\n<style amp-boilerplate=\"\">body{-webkit-animation:-amp-start 8s steps(1,end) 0s 1 normal both;-moz-animation:-amp-start 8s steps(1,end) 0s 1 normal both;-ms-animation:-amp-start 8s steps(1,end) 0s 1 normal both;animation:-amp-start 8s steps(1,end) 0s 1 normal both}@-webkit-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-moz-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-ms-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-o-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}<\/style>\n<p><noscript><\/p>\n<style amp-boilerplate=\"\">body{-webkit-animation:none;-moz-animation:none;-ms-animation:none;animation:none}<\/style>\n<p><\/noscript><\/p>\n<style amp-custom=\"\">\n              h1, h2, h3 { font-weight: normal; }<\/p>\n<p>              amp-story-page {\n                background-color: #131516;\n              }<\/p>\n<p>              amp-story-grid-layer {\n                overflow: visible;\n       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               transform: var(--initial-transform);\n                }\n              }<\/p>\n<p>              amp-story-grid-layer.align-bottom {\n                align-content: end;\n                padding: 0;\n                \/* \n                  AMP CTA Layer will exactly occupy 74px regardless of any device.\n                  To space out captions 74px from the BOTTOM (AMP CTA Layer),\n                  74px from the TOP should also be spaced out and thus: 2 * 74px\n                  will be the desired max-height.\n                *\/\n                max-height: calc(100vh - (2 * 74px));\n              }<\/p>\n<p>              .captions-area {\n                padding: 0 32px 0;\n              }<\/p>\n<p>              amp-story-captions {\n                margin-bottom: 16px;\n                text-align: center;\n              }\n              <\/style>\n<p><meta name=\"web-stories-replace-head-start\"\/><title> The Mathematics of Data Science<\/title><link rel=\"canonical\" href=\"https:\/\/pickl.ai\/blog\/?post_type=web-story&amp;p=6062\"\/><meta name=\"web-stories-replace-head-end\"\/><\/head><body><amp-story standalone=\"\" publisher=\"Pickl.AI\" publisher-logo-src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2022\/01\/cropped-cropped-favicon.png\" title=\" The Mathematics of Data Science\" poster-portrait-src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/cropped-1530363_3869-scaled-1.jpg\"><amp-story-page id=\"0b12beeb-d44f-423f-9700-ed742c63ebae\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#590d22\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-61ba7982-7a19-4190-b122-56ce207f6aef\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:-3.39806%;width:80.09709%;height:53.39806%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-97ad4930-8b9b-4212-a09d-21cdc418c12f\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-scaled.jpg\" alt=\"1530363_3869\" srcSet=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-scaled.jpg 2560w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-2048x2048.jpg 2048w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-1536x1536.jpg 1536w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-1024x1024.jpg 1024w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-768x768.jpg 768w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-300x300.jpg 300w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-150x150.jpg 150w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/1530363_3869-96x96.jpg 96w\" sizes=\"(min-width: 1024px) 36vh, 80vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.1068%;top:51.94175%;width:77.18447%;height:23.6246%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.628930817610063% 0.628930817610063% 0.628930817610063% 0.628930817610063% \/ 1.36986301369863% 1.36986301369863% 1.36986301369863% 1.36986301369863%\" id=\"el-cbc09403-c09b-4024-82bb-3f3244e0bcc9\">\n<h1 id=\"the-mathematics-of-data-science\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.5660377358490579% 0;font-family:&quot;Lora&quot;,serif;font-size:0.647249em;line-height:1.19;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #ffe747\">The Mathematics of Data Science<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:14.56311%;top:77.50809%;width:73.78641%;height:24.43366%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6578947368421052% 0.6578947368421052% 0.6578947368421052% 0.6578947368421052% \/ 1.3245033112582782% 1.3245033112582782% 1.3245033112582782% 1.3245033112582782%\" id=\"el-73cfdbfe-1914-49ac-9ca7-feb7f1e71a54\">\n<h3 id=\"mathematics-is-the-cornerstone-of-modern-data-science-unlocking-insights-from-vast-datasets\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.3289473684210526% 0;font-family:&quot;Lora&quot;,serif;font-size:0.404531em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #a5b98b\">Mathematics is the cornerstone of modern data science, unlocking insights from vast datasets.<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"2e8a6f6b-b0a6-45da-a49c-d482a0ba99a0\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#e06e04\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-96139b9b-1c5f-4184-a918-2b04a7d57cc1\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:0;width:80.09709%;height:53.39806%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-7ac12911-bf73-4c1c-8988-1dffbc6bbfab\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742.jpg\" alt=\"10733824_4542742\" srcSet=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742.jpg 2000w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742-1536x1536.jpg 1536w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742-1024x1024.jpg 1024w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742-768x768.jpg 768w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742-300x300.jpg 300w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742-150x150.jpg 150w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10733824_4542742-96x96.jpg 96w\" sizes=\"(min-width: 1024px) 36vh, 80vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:58.89968%;width:76.69903%;height:8.41424%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6329113924050633% 0.6329113924050633% 0.6329113924050633% 0.6329113924050633% \/ 3.8461538461538463% 3.8461538461538463% 3.8461538461538463% 3.8461538461538463%\" id=\"el-2ecc9f78-2969-48f4-9afe-b7ca099426bf\">\n<h1 id=\"linear-algebra\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.5696202531645583% 0;font-family:&quot;Lora&quot;,serif;font-size:0.647249em;line-height:1.19;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #dbca09\">Linear Algebra<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:68.60841%;width:80.09709%;height:31.39159%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6060606060606061% 0.6060606060606061% 0.6060606060606061% 0.6060606060606061% \/ 1.0309278350515463% 1.0309278350515463% 1.0309278350515463% 1.0309278350515463%\" id=\"el-ec0b0ac8-3ae0-480a-8756-c53760854507\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.24242424242424265% 0;font-family:&quot;Lora&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #003bad\">Matrices and vectors from linear algebra enable data manipulation and analysis.<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #003bad\">Dimensionality reduction and regression analysis are made possible through linear algebraic techniques.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:17.71845%;top:101.2945%;width:53.39806%;height:4.36893%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.9090909090909091% 0.9090909090909091% 0.9090909090909091% 0.9090909090909091% \/ 7.4074074074074066% 7.4074074074074066% 7.4074074074074066% 7.4074074074074066%\" id=\"el-62d58b78-82f5-40eb-8b50-67c59e99093f\"><a href=\"https:\/\/pickl.ai\/blog\/mathematics-and-data-science-its-role-and-relevance\/\" data-tooltip-icon=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2023\/12\/Blog-image.jpg\" data-tooltip-text=\"Mathematics and Data Science: its role and relevance - Pickl.AI\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<h3 id=\"learn-more\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.39272727272727304% 0;font-family:&quot;Lora&quot;,serif;font-size:0.349515em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Learn More<\/span><\/span><\/h3>\n<p><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"c010b87b-a815-4f81-9d4d-7ce06fff9a3c\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#8bc42f\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-9e22781e-e440-479e-a7a7-1aec531c094b\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:8.25243%;top:-0.32362%;width:80.09709%;height:53.39806%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-6ce65ff1-6303-425d-aa99-b1b79071050c\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637.jpg\" alt=\"12832567_5097637\" srcSet=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637.jpg 2000w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637-1536x1536.jpg 1536w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637-1024x1024.jpg 1024w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637-768x768.jpg 768w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637-300x300.jpg 300w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637-150x150.jpg 150w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/12832567_5097637-96x96.jpg 96w\" sizes=\"(min-width: 1024px) 36vh, 80vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:56.79612%;width:80.09709%;height:14.40129%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6060606060606061% 0.6060606060606061% 0.6060606060606061% 0.6060606060606061% \/ 2.247191011235955% 2.247191011235955% 2.247191011235955% 2.247191011235955%\" id=\"el-b1f2a17d-c97f-4986-93e5-9d3b95c8470e\">\n<h1 id=\"probability-statistics\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.49090909090909124% 0;font-family:&quot;Lora&quot;,serif;font-size:0.582524em;line-height:1.19;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Probability &amp; Statistics<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:72.49191%;width:76.69903%;height:32.8479%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6329113924050633% 0.6329113924050633% 0.6329113924050633% 0.6329113924050633% \/ 0.9852216748768473% 0.9852216748768473% 0.9852216748768473% 0.9852216748768473%\" id=\"el-c92cd0e1-018c-4158-a8b2-79154bd84c5f\">\n<h3 id=\"probability-theory-and-statistics-aid-in-understanding-uncertainty-within-data-techniques-like-hypothesis-testing-and-bayesian-inference-enable-accurate-predictions-and-informed-decision-making\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.26582278481012656% 0;font-family:&quot;Lora&quot;,serif;font-size:0.339806em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #603809\">Probability theory and statistics aid in understanding uncertainty within data.<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #603809\">Techniques like hypothesis testing and Bayesian inference enable accurate predictions and informed decision-making.<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"133ed77d-adfa-4993-aeb4-929d0e0e50e4\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#ca2ee2\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-c0e4424c-cc51-40a4-8d01-da3d43787578\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:0;width:80.09709%;height:53.39806%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-dbd51ddf-2f88-4b19-9caa-c710592f40db\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824.jpg\" alt=\"23181634_6655824\" srcSet=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824.jpg 2000w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824-1536x1536.jpg 1536w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824-1024x1024.jpg 1024w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824-768x768.jpg 768w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824-300x300.jpg 300w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824-150x150.jpg 150w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/23181634_6655824-96x96.jpg 96w\" sizes=\"(min-width: 1024px) 36vh, 80vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:55.98706%;width:80.09709%;height:11.16505%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6060606060606061% 0.6060606060606061% 0.6060606060606061% 0.6060606060606061% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-2355cfe8-0459-435b-b023-7dbb2f63a574\">\n<h2 id=\"calculus-the-language-of-optimization\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.3818181818181823% 0;font-family:&quot;Lora&quot;,serif;font-size:0.453074em;line-height:1.19;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #dedb13\">Calculus: The Language of Optimization<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:16.26214%;top:69.7411%;width:75.48544%;height:34.30421%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6430868167202572% 0.6430868167202572% 0.6430868167202572% 0.6430868167202572% \/ 0.9433962264150944% 0.9433962264150944% 0.9433962264150944% 0.9433962264150944%\" id=\"el-d04300b5-131e-49a8-b546-98f659360d90\">\n<h3 id=\"calculus-techniques-optimize-models-and-algorithms-for-efficiency-gradient-descent-is-a-fundamental-calculus-based-method-for-parameter-fine-tuning-in-models\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.28295819935691346% 0;font-family:&quot;Lora&quot;,serif;font-size:0.355987em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #003bad\">Calculus techniques optimize models and algorithms for efficiency.<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #003bad\">Gradient descent is a fundamental calculus-based method for parameter fine-tuning in models.<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"cb817c59-7a04-45d3-806c-fa14998291ad\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#f8c41b\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-38ab32fb-c85b-4f16-a282-cb637d309dc3\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:0;width:80.09709%;height:53.39806%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-6121ddf7-3af1-4b2b-ae6f-34d72f74d7ec\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551.jpg\" alt=\"5937246_3091551\" srcSet=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551.jpg 2000w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551-1536x1536.jpg 1536w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551-1024x1024.jpg 1024w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551-768x768.jpg 768w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551-300x300.jpg 300w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551-150x150.jpg 150w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/5937246_3091551-96x96.jpg 96w\" sizes=\"(min-width: 1024px) 36vh, 80vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:17.47573%;top:55.66343%;width:68.4466%;height:8.25243%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.7092198581560284% 0.7092198581560284% 0.7092198581560284% 0.7092198581560284% \/ 3.9215686274509802% 3.9215686274509802% 3.9215686274509802% 3.9215686274509802%\" id=\"el-6e7b54c2-e05b-4caf-856e-0f2953042ca9\">\n<h1 id=\"graph-theory\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.638297872340427% 0;font-family:&quot;Lora&quot;,serif;font-size:0.647249em;line-height:1.19;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #300879\">Graph Theory<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.86408%;top:66.18123%;width:74.51456%;height:28.80259%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6514657980456027% 0.6514657980456027% 0.6514657980456027% 0.6514657980456027% \/ 1.1235955056179776% 1.1235955056179776% 1.1235955056179776% 1.1235955056179776%\" id=\"el-df489958-1365-45da-a633-99d6e39f7933\">\n<h3 id=\"graph-theory-analyzes-network-relationships-in-data-understanding-graph-structures-enhances-insights-in-social-networks-and-recommendation-systems\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.27361563517915305% 0;font-family:&quot;Lora&quot;,serif;font-size:0.339806em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #e03568\">Graph theory analyzes network relationships in data.<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #e03568\">Understanding graph structures enhances insights in social networks and recommendation systems.<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.86408%;top:97.73463%;width:61.16505%;height:5.01618%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.7936507936507936% 0.7936507936507936% 0.7936507936507936% 0.7936507936507936% \/ 6.451612903225806% 6.451612903225806% 6.451612903225806% 6.451612903225806%\" id=\"el-565cf528-bac0-494b-8a43-b9455c5af51b\"><a href=\"https:\/\/pickl.ai\/blog\/easy-way-to-learn-data-science-for-beginners\/\" data-tooltip-icon=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2023\/09\/Easy-Way-To-Learn-Data-Science-For-Beginners-scaled.jpg\" data-tooltip-text=\"Easy Way To Learn Data Science For Beginners - Pickl.AI\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0\"><\/p>\n<h3 id=\"learn-more-2\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.3809523809523813% 0;font-family:&quot;Lora&quot;,serif;font-size:0.388350em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Learn More<\/span><\/span><\/h3>\n<p><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"972cd65e-b42c-4d7b-b8ef-9f9573533e7f\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#1c06dc\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-82138165-b2f1-432c-a172-e8e681ceb200\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:0;width:80.09709%;height:35.59871%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-09bf4251-1c64-4d1d-8f4d-14a4833dd797\">\n<div style=\"position:absolute;width:100%;height:100.01952%;left:0%;top:-0.00976%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-scaled.jpg\" alt=\"10782528_19198406\" srcSet=\"https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-scaled.jpg 2560w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-2048x1365.jpg 2048w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-1536x1024.jpg 1536w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-1024x683.jpg 1024w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-900x600.jpg 900w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-768x512.jpg 768w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-300x200.jpg 300w,https:\/\/pickl.ai\/blog\/wp-content\/uploads\/2024\/02\/10782528_19198406-150x100.jpg 150w\" sizes=\"(min-width: 1024px) 36vh, 80vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:41.10032%;width:80.09709%;height:17.79935%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6060606060606061% 0.6060606060606061% 0.6060606060606061% 0.6060606060606061% \/ 1.8181818181818181% 1.8181818181818181% 1.8181818181818181% 1.8181818181818181%\" id=\"el-17a5a11d-e9b4-47a8-a3f3-1285b5c95e63\">\n<h2 id=\"machine-learning-bridging-mathematics-and-data-science\" class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.40909090909090956% 0;font-family:&quot;Lora&quot;,serif;font-size:0.485437em;line-height:1.19;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #dbca09\">Machine Learning: Bridging Mathematics and Data Science<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:13.34951%;top:64.40129%;width:76.69903%;height:35.27508%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6329113924050633% 0.6329113924050633% 0.6329113924050633% 0.6329113924050633% \/ 0.9174311926605505% 0.9174311926605505% 0.9174311926605505% 0.9174311926605505%\" id=\"el-d5469120-ea37-432d-8392-1b12a46e7141\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.25316455696202556% 0;font-family:&quot;Lora&quot;,serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #a5b98b\">\u2013 Machine learning integrates mathematical principles into data science seamlessly.<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #a5b98b\">\u2013 Algorithms such as neural networks and support vector machines use mathematics to extract patterns and make predictions.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><\/amp-story><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"Mathematics is the cornerstone of modern data science, unlocking insights from vast datasets.\n","protected":false},"author":1,"featured_media":6071,"template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"web_stories_publisher_logo":935,"web_stories_poster":[],"web_stories_products":[],"footnotes":""},"web_story_category":[],"web_story_tag":[],"class_list":["post-6062","web-story","type-web-story","status-publish","has-post-thumbnail"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>The Mathematics of Data Science - Pickl.AI<\/title>\n<meta name=\"description\" content=\"Mathematics is the cornerstone of modern data science, unlocking insights from vast datasets.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.pickl.ai\/blog\/web-stories\/the-mathematics-of-data-science\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Mathematics of Data Science\" \/>\n<meta property=\"og:description\" content=\"Mathematics is the cornerstone of modern data science, unlocking insights from vast datasets.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.pickl.ai\/blog\/web-stories\/the-mathematics-of-data-science\/\" \/>\n<meta property=\"og:site_name\" content=\"Pickl.AI\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-14T12:47:58+00:00\" \/>\n<meta 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