{"id":16691,"date":"2020-01-28T21:36:19","date_gmt":"2020-01-29T02:36:19","guid":{"rendered":"https:\/\/bangla.salearningschool.com\/recent-posts\/optimization-data-science-math\/"},"modified":"2020-02-08T09:40:28","modified_gmt":"2020-02-08T14:40:28","slug":"optimization-data-science-math","status":"publish","type":"post","link":"http:\/\/bangla.sitestree.com\/?p=16691","title":{"rendered":"Optimization, Data Science, Math"},"content":{"rendered":"<p>Optimization Problem:<\/p>\n<h1 dir=\"ltr\">Advances in Missile Guidance, Control, and Estimation<\/h1>\n<p>Preview:<br \/>\n<a href=\"https:\/\/play.google.com\/books\/reader?id=A2PMBQAAQBAJ&amp;hl=en_GB&amp;pg=GBS.PR14\">https:\/\/play.google.com\/books\/reader?id=A2PMBQAAQBAJ&amp;hl=en_GB&amp;pg=GBS.PR14<\/a><\/p>\n<p><a href=\"https:\/\/books.google.ca\/books?id=A2PMBQAAQBAJ&amp;pg=PA595&amp;lpg=PA595&amp;dq=force+moment+interaction+with+thrusters&amp;source=bl&amp;ots=BruxnXwLzp&amp;sig=ACfU3U39G-l3xDzbotOBJHcMV5uR7DkciQ&amp;hl=en&amp;sa=X&amp;ved=2ahUKEwjZpsT44afnAhXRJt8KHfPYCroQ6AEwCnoECAoQAQ#v=onepage&amp;q=force%20moment%20interaction%20with%20thrusters&amp;f=false\">https:\/\/books.google.ca\/books?id=A2PMBQAAQBAJ&amp;pg=PA595&amp;lpg=PA595&amp;dq=force+moment+interaction+with+thrusters&amp;source=bl&amp;ots=BruxnXwLzp&amp;sig=ACfU3U39G-l3xDzbotOBJHcMV5uR7DkciQ&amp;hl=en&amp;sa=X&amp;ved=2ahUKEwjZpsT44afnAhXRJt8KHfPYCroQ6AEwCnoECAoQAQ#v=onepage&amp;q=force%20moment%20interaction%20with%20thrusters&amp;f=false<\/a><\/p>\n<p>&quot;What is the difference between affine and linear?<br \/>\n4 Answers. A <strong>linear<\/strong> function fixes the origin, whereas an <strong>affine<\/strong> function need not do so. An <strong>affine<\/strong> function is the composition of a <strong>linear<\/strong> function <strong>with a<\/strong> translation, so while the <strong>linear<\/strong> part fixes the origin, the translation can map it somewhere else.Sep 15, 2014&quot;<\/p>\n<p>&quot;If you choose bases for vector spaces ? and ? of dimensions ? and ? respectively, and consider functions ?:?\u2192?, then ? is linear if ?(?)=?? for some ?\u00d7? matrix ? and ? is affine if ?(?)=??+? for some matrix ? and vector ?, where coordinate representations are used with respect to the bases chosen.&quot;<\/p>\n<p><a href=\"https:\/\/math.stackexchange.com\/questions\/275310\/what-is-the-difference-between-linear-and-affine-function\/275327\">https:\/\/math.stackexchange.com\/questions\/275310\/what-is-the-difference-between-linear-and-affine-function\/275327<\/a><\/p>\n<p><em><\/em><br \/>\n<em><\/em><br \/>\n<em><strong>*** *** ***<\/strong><\/em><br \/>\n<em><strong>Note: Older short-notes from this site are posted on Medium: <\/strong><\/em><a href=\"https:\/\/medium.com\/@SayedAhmedCanada\">https:\/\/medium.com\/@SayedAhmedCanada<\/a><\/p>\n<p>*** . *** *** . *** . *** . ***<br \/>\n<em><\/em><br \/>\n<em><strong>Sayed Ahmed<\/strong><br \/>\n<\/em><br \/>\n<em><strong>BSc. Eng. in Comp. Sc. &amp; Eng. (BUET)<\/strong><\/em><br \/>\n<em><strong>MSc. in Comp. Sc. (U of Manitoba, Canada)<\/strong><\/em><br \/>\n<em><strong>MSc. in Data Science and Analytics (Ryerson University, Canada)<\/strong><\/em><br \/>\n<em><strong>Linkedin<\/strong>: <a href=\"https:\/\/ca.linkedin.com\/in\/sayedjustetc\">https:\/\/ca.linkedin.com\/in\/sayedjustetc<\/a><br \/>\n<\/em><\/p>\n<p><em><strong>Blog<\/strong>: <a href=\"http:\/\/bangla.salearningschool.com\/\">http:\/\/Bangla.SaLearningSchool.com<\/a>, <a href=\"http:\/\/sitestree.com\">http:\/\/SitesTree.com<\/a><\/em><br \/>\n<em><strong>Online and Offline Training<\/strong>: <a href=\"http:\/\/training.SitesTree.com\">http:\/\/Training.SitesTree.com<\/a> (Also, can be free and low cost sometimes)<\/em><\/p>\n<p><em>Facebook Group\/Form to discuss (Q &amp; A): <\/em><a href=\"https:\/\/www.facebook.com\/banglasalearningschool\">https:\/\/www.facebook.com\/banglasalearningschool<\/a><\/p>\n<p>Our free or paid training events: <a href=\"https:\/\/www.facebook.com\/justetcsocial\">https:\/\/www.facebook.com\/justetcsocial<\/a><\/p>\n<p><em>Get access to courses on Big Data, Data Science, AI, Cloud, Linux, System Admin, Web Development and Misc. related. Also, create your own course to sell to others. <\/em><a href=\"http:\/\/sitestree.com\/training\/\">http:\/\/sitestree.com\/training\/<\/a><\/p>\n<p><em><strong>I<\/strong>f you want to contribute to occasional free and\/or low cost online\/offline training or charitable\/non-profit work in the education\/health\/social service sector, you can financially contribute to: safoundation at <a href=\"http:\/\/salearningschool.com\">salearningschool.com<\/a> using Paypal or Credit Card (on <\/em><a href=\"http:\/\/sitestree.com\/training\/enrol\/index.php?id=114\">http:\/\/sitestree.com\/training\/enrol\/index.php?id=114<\/a> <em>).<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Optimization Problem: Advances in Missile Guidance, Control, and Estimation Preview: https:\/\/play.google.com\/books\/reader?id=A2PMBQAAQBAJ&amp;hl=en_GB&amp;pg=GBS.PR14 https:\/\/books.google.ca\/books?id=A2PMBQAAQBAJ&amp;pg=PA595&amp;lpg=PA595&amp;dq=force+moment+interaction+with+thrusters&amp;source=bl&amp;ots=BruxnXwLzp&amp;sig=ACfU3U39G-l3xDzbotOBJHcMV5uR7DkciQ&amp;hl=en&amp;sa=X&amp;ved=2ahUKEwjZpsT44afnAhXRJt8KHfPYCroQ6AEwCnoECAoQAQ#v=onepage&amp;q=force%20moment%20interaction%20with%20thrusters&amp;f=false &quot;What is the difference between affine and linear? 4 Answers. A linear function fixes the origin, whereas an affine function need not do so. An affine function is the composition of a linear function with a translation, so while the linear part fixes &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"http:\/\/bangla.sitestree.com\/?p=16691\">Continue reading<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1910,1908,182],"tags":[],"class_list":["post-16691","post","type-post","status-publish","format-standard","hentry","category-ai-ml-ds-rl-dl-nn-nlp-data-mining-optimization","category-math-and-statistics-for-data-science-and-engineering","category---blog","item-wrap"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[{"id":63958,"url":"http:\/\/bangla.sitestree.com\/?p=63958","url_meta":{"origin":16691,"position":0},"title":"Misc: Optimization: Machine Learning: Data Science Resources","author":"Sayed","date":"June 3, 2021","format":false,"excerpt":"http:\/\/web.mit.edu\/15.053\/www\/AMP-Chapter-09.pdf https:\/\/www.cs.cmu.edu\/~anupamg\/adv-approx\/lecture14.pdf http:\/\/bangla.salearningschool.com\/recent-posts\/misc-optimization\/ https:\/\/www.futurelearn.com\/info\/courses\/maths-linear-quadratic-relations\/0\/steps\/12128 https:\/\/www.mathsisfun.com\/algebra\/systems-linear-equations-matrices.html https:\/\/www.wolframalpha.com\/input\/?i=subspace https:\/\/www.cse.iitk.ac.in\/users\/rmittal\/prev_course\/s14\/notes\/lec3.pdf https:\/\/observablehq.com\/@eliaskal\/point-combinations-linear-conic-affine-convex https:\/\/www.cse.iitk.ac.in\/users\/rmittal\/prev_course\/s14\/course_s14.html http:\/\/bangla.salearningschool.com\/recent-posts\/misc-math-might-relate-to-optimization\/ http:\/\/bangla.salearningschool.com\/recent-posts\/part-x-engineering-optimization-mathematical-optimization\/ https:\/\/www.dr-eriksen.no\/teaching\/GRA6035\/2010\/lecture4.pdf https:\/\/www.mathsisfun.com\/calculus\/concave-up-down-convex.html https:\/\/www-ljk.imag.fr\/membres\/Anatoli.Iouditski\/cours\/convex\/chapitre_3.pdf http:\/\/bangla.salearningschool.com\/recent-posts\/optimization-and-linear-algebra-math-from-the-internet\/ https:\/\/www.thestudentroom.co.uk\/showthread.php?t=1247928 https:\/\/en.wikipedia.org\/wiki\/Hessian_matrix https:\/\/en.wikipedia.org\/wiki\/Newton%27s_method_in_optimization https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/9781118733639.app6 http:\/\/bangla.salearningschool.com\/recent-posts\/optimization-and-linear-algebra-math-from-the-internet\/ https:\/\/en.wikipedia.org\/wiki\/Interior-point_method https:\/\/web.stanford.edu\/~boyd\/papers\/rt_cvx_sig_proc.html Must Read https:\/\/www.microsoft.com\/en-us\/research\/wp-content\/uploads\/2016\/02\/ivantash-optimization_methods_and_their_applications_in_dsp.pdf https:\/\/www.researchgate.net\/publication\/269211254_The_analysis_and_optimization_algorithms_of_the_electronic_circuits_design good one http:\/\/www.bcamath.org\/documentos_public\/courses\/Nogales_2012-13_02_18-22.pdf https:\/\/en.wikipedia.org\/wiki\/Convex_analysis https:\/\/www.khanacademy.org\/search?page_search_query=Optimization%20problems%20(calculus) http:\/\/bangla.salearningschool.com\/recent-posts\/overview-on-optimization-concepts-from-the-internet\/ http:\/\/bangla.salearningschool.com\/recent-posts\/misc-optimization-machine-learning\/ http:\/\/bangla.salearningschool.com\/recent-posts\/misc-math-data-science-machine-learning-optimization-vector-pca-basis-covariance\/ https:\/\/www.mathsisfun.com\/algebra\/matrix-inverse-row-operations-gauss-jordan.html http:\/\/bangla.salearningschool.com\/recent-posts\/misc-math-for-data-science-engineering-and-or-optimization\/","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":[]},{"id":16689,"url":"http:\/\/bangla.sitestree.com\/?p=16689","url_meta":{"origin":16691,"position":1},"title":"Misc. Math for Data Science, Engineering, and\/or Optimization","author":"Sayed","date":"January 28, 2020","format":false,"excerpt":"What is the Inverse of a Matrix? https:\/\/www.mathsisfun.com\/algebra\/matrix-inverse.html What is Norm? \"In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that satisfies certain properties pertaining to scalability and additivity, and assigns a strictly positive real number to each vector in a vector space over\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":"","width":0,"height":0},"classes":[]},{"id":16660,"url":"http:\/\/bangla.sitestree.com\/?p=16660","url_meta":{"origin":16691,"position":2},"title":"Optimization and Linear Algebra\/Math from the Internet","author":"Sayed","date":"January 18, 2020","format":false,"excerpt":"Optimization and Linear Algebra\/Math from the Internet First order taylor approximation formula? https:\/\/www.thestudentroom.co.uk\/showthread.php?t=1247928 Hessian Matrix https:\/\/en.wikipedia.org\/wiki\/Hessian_matrix \"In mathematics, the Hessian matrix or Hessian is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field. It describes the local curvature of a function of many variables.\" Use\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":"","width":0,"height":0},"classes":[]},{"id":16659,"url":"http:\/\/bangla.sitestree.com\/?p=16659","url_meta":{"origin":16691,"position":3},"title":"SeDuMi MATLAB add-on: solve optimization problems with linear, quadratic and semidefiniteness constraints","author":"Sayed","date":"January 18, 2020","format":false,"excerpt":"SeDuMi MATLAB add-on: solve optimization problems with linear, quadratic and semidefiniteness constraints \"Abstract SeDuMi is an add-on for MATLAB, which lets you solve optimization problems with linear, quadratic and semidefiniteness constraints. It is possible to have complex valued data and variables in SeDuMi. Moreover, large scale optimization problems are solved\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":"","width":0,"height":0},"classes":[]},{"id":16701,"url":"http:\/\/bangla.sitestree.com\/?p=16701","url_meta":{"origin":16691,"position":4},"title":"Misc. Math. Data Science. Machine Learning. Optimization. Vector, PCA, Basis, Covariance","author":"Sayed","date":"January 30, 2020","format":false,"excerpt":"Misc. Math. Data Science. Machine Learning. Optimization. Vector, PCA, Basis, Covariance Orthonormality: Orthonormal Vectors \"In linear algebra, two vectors in an inner product space are orthonormal if they are orthogonal and unit vectors. A set of vectors form an orthonormal set if all vectors in the set are mutually orthogonal\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-8-e1580436936625.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":16974,"url":"http:\/\/bangla.sitestree.com\/?p=16974","url_meta":{"origin":16691,"position":5},"title":"Learn: How to formulate an Optimization Problem","author":"Sayed","date":"March 29, 2020","format":false,"excerpt":"Formulating an Optimization Problem http:\/\/macc.mcmaster.ca\/maccfiles\/chachuatnotes\/01-Formulation_handout.pdf Search Results Web results Math 407A: Linear Optimization - University of Washington : how to formulate https:\/\/sites.math.washington.edu\/~burke\/crs\/407\/lectures\/L3-LP_Modeling.pdf Optimization with Examples https:\/\/sites.math.washington.edu\/~burke\/crs\/407\/notes\/section1.pdf https:\/\/sites.math.washington.edu\/~burke\/crs\/407\/notes\/section1.pdf https:\/\/sites.math.washington.edu\/~burke\/crs\/407\/notes\/section2.pdf https:\/\/sites.math.washington.edu\/~burke\/crs\/407\/models\/ Note: Older short-notes from this site are posted on Medium: https:\/\/medium.com\/@SayedAhmedCanada *** . *** *** . *** . *** . ***\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\/16691","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\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=16691"}],"version-history":[{"count":1,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts\/16691\/revisions"}],"predecessor-version":[{"id":16706,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts\/16691\/revisions\/16706"}],"wp:attachment":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=16691"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=16691"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=16691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}