{"id":5,"date":"2018-11-27T09:17:08","date_gmt":"2018-11-27T09:17:08","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/about\/"},"modified":"2022-02-07T10:58:51","modified_gmt":"2022-02-07T10:58:51","slug":"about","status":"publish","type":"page","link":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/about\/","title":{"rendered":"About"},"content":{"rendered":"\t\t
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Who Am i?<\/h1>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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MY Background<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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I graduated from the University of Bath in 2020 with a Masters degree in natural sciences. During my degree I studied physics and chemistry topics that mainly related to the field of condensed matter physics.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t

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I found STOR-i<\/a> when I was looking for a summer internship based in a CDT. It was during this internship that I decided that I wanted to pursue a PhD in the area of applied mathematics and\u00a0 joined STOR-i as an MRes student after graduation.\u00a0<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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My PhD PRoject<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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We typically think of an algorithm as a set of instructions that are carefully created so that we get a desired output for a given input. However, many algorithms contain decision points where a choice must be made from a set of possible instructions, and it isn\u2019t always clear which instruction is the best.<\/p>

An important example of an algorithm with decision points is\u00a0Buchberger\u2019s algorithm<\/a>\u00a0which is used to solve a range of problems in computational algebra. In Buchberger\u2019s algorithm, one of the key decision points is pair selection.<\/p>

The decisions made during pair selection don\u2019t affect the correctness of the output of Buchberger\u2019s algorithm but do affect the amount of computation that it takes to arrive at the output.<\/p>

Devising a way to perform pair selection optimally is therefore an open area of research. In most commercial or open-source implementations of the algorithm, heuristic solutions are used that select pairs based on simple rules that can be applied generally.<\/p>

Reinforcement learning is particularly suited to decision making in Buchberger\u2019s algorithm because of the extremely large number of possible states and actions which means that using exact solution methods such as dynamic programming are typically infeasible.<\/p>

My project involves building on\u00a0previous work<\/a>\u00a0demonstrating that reinforcement learning can be effective for decision making in Buchberger\u2019s algorithm.<\/p>

My aims are to extend the work from the proof of concept to more challenging inputs and by doing this identify and research solutions for the issues that arise when extending the current methodology.\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t

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Check out the Blog page<\/a> for more detailed posts about reinforcement learning and statistics and OR in general.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

Who Am i? MY Background I graduated from the University of Bath in 2020 with a Masters degree in natural sciences. During my degree I studied physics and chemistry topics that mainly related to the field of condensed matter physics. I found STOR-i when I was looking for a summer internship based in a CDT. […]<\/p>\n","protected":false},"author":19,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"enabled","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"slim_seo":{"title":"About - JACK TRAINER","description":"Who Am i? MY Background I graduated from the University of Bath in 2020 with a Masters degree in natural sciences. During my degree I studied physics and chemis"},"footnotes":""},"class_list":["post-5","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/pages\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":51,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":1237,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/pages\/5\/revisions\/1237"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/jack-trainer\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}