TopRank+: A Refinement of TopRank Algorithm
Online learning to rank is a core problem in machine learning. In Lattimore et al. (2018), a novel online learning algorithm was proposed based on topological sorting. In the paper they provided a set of self-normalized inequalities (a) in the algorithm as a criterion in iterations and (b) to provid...
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creator | de la Pena, Victor Zou, Haolin |
description | Online learning to rank is a core problem in machine learning. In Lattimore
et al. (2018), a novel online learning algorithm was proposed based on
topological sorting. In the paper they provided a set of self-normalized
inequalities (a) in the algorithm as a criterion in iterations and (b) to
provide an upper bound for cumulative regret, which is a measure of algorithm
performance. In this work, we utilized method of mixtures and asymptotic
expansions of certain implicit function to provide a tighter, iterated-log-like
boundary for the inequalities, and as a consequence improve both the algorithm
itself as well as its performance estimation. |
doi_str_mv | 10.48550/arxiv.2001.07617 |
format | Article |
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et al. (2018), a novel online learning algorithm was proposed based on
topological sorting. In the paper they provided a set of self-normalized
inequalities (a) in the algorithm as a criterion in iterations and (b) to
provide an upper bound for cumulative regret, which is a measure of algorithm
performance. In this work, we utilized method of mixtures and asymptotic
expansions of certain implicit function to provide a tighter, iterated-log-like
boundary for the inequalities, and as a consequence improve both the algorithm
itself as well as its performance estimation.</description><identifier>DOI: 10.48550/arxiv.2001.07617</identifier><language>eng</language><subject>Computer Science - Learning ; Statistics - Machine Learning</subject><creationdate>2020-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2001.07617$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2001.07617$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>de la Pena, Victor</creatorcontrib><creatorcontrib>Zou, Haolin</creatorcontrib><title>TopRank+: A Refinement of TopRank Algorithm</title><description>Online learning to rank is a core problem in machine learning. In Lattimore
et al. (2018), a novel online learning algorithm was proposed based on
topological sorting. In the paper they provided a set of self-normalized
inequalities (a) in the algorithm as a criterion in iterations and (b) to
provide an upper bound for cumulative regret, which is a measure of algorithm
performance. In this work, we utilized method of mixtures and asymptotic
expansions of certain implicit function to provide a tighter, iterated-log-like
boundary for the inequalities, and as a consequence improve both the algorithm
itself as well as its performance estimation.</description><subject>Computer Science - Learning</subject><subject>Statistics - Machine Learning</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjr0KwjAYRbM4iPoATmaX1jSfyWfcSvEPCoJ0L0mbaNG2Eovo2_s73eFcDoeQccTC-UIINtP-Ud1DzlgUMpQR9sk0a68H3ZynSxrTg3VVY2vbdLR19E9ofDm2vupO9ZD0nL7c7Oi_A5KtV1myDdL9ZpfEaaAlYmCdM0aXkYKCg3CIyHghBYARhjkL6BSUJVdv-v4wg1bMQVquFAepCoABmfy039r86qta-2f-qc6_1fACF5Q6oA</recordid><startdate>20200121</startdate><enddate>20200121</enddate><creator>de la Pena, Victor</creator><creator>Zou, Haolin</creator><scope>AKY</scope><scope>EPD</scope><scope>GOX</scope></search><sort><creationdate>20200121</creationdate><title>TopRank+: A Refinement of TopRank Algorithm</title><author>de la Pena, Victor ; Zou, Haolin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a677-effbbad193c235f77702c6533b5b0fe37f93dd29c231930b7e5436e2992369c33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Computer Science - Learning</topic><topic>Statistics - Machine Learning</topic><toplevel>online_resources</toplevel><creatorcontrib>de la Pena, Victor</creatorcontrib><creatorcontrib>Zou, Haolin</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv Statistics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>de la Pena, Victor</au><au>Zou, Haolin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>TopRank+: A Refinement of TopRank Algorithm</atitle><date>2020-01-21</date><risdate>2020</risdate><abstract>Online learning to rank is a core problem in machine learning. In Lattimore
et al. (2018), a novel online learning algorithm was proposed based on
topological sorting. In the paper they provided a set of self-normalized
inequalities (a) in the algorithm as a criterion in iterations and (b) to
provide an upper bound for cumulative regret, which is a measure of algorithm
performance. In this work, we utilized method of mixtures and asymptotic
expansions of certain implicit function to provide a tighter, iterated-log-like
boundary for the inequalities, and as a consequence improve both the algorithm
itself as well as its performance estimation.</abstract><doi>10.48550/arxiv.2001.07617</doi><oa>free_for_read</oa></addata></record> |
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subjects | Computer Science - Learning Statistics - Machine Learning |
title | TopRank+: A Refinement of TopRank Algorithm |
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