{"id":{"repo_id":"gmu","oai_identifier":"oai:MARS:1920/8363"},"canonical_url":"https://search.dev.ndltd.org/etd/gmu/oai:MARS:1920/8363","repository":{"repo_id":"gmu","name":"George Mason University","base_url":"https://mars.gmu.edu/server/oai/request"},"display":{"title":"A multigrid optimization framework for vector quantization","abstract":"In this thesis, we apply the multilevel optimization framework (MG/OPT) to a class of vector quantization problem. Specially, we focus on a problem called centroidal Voronoi tessellations (CVTs). MG/OPT is a generalization of traditional multigrid for solving partial differential equations. This framework assumes that there exists a hierarchy of models of the underlying optimization problem, corresponding to levels of detail in the problem, and the interest is to find the solution at the nest level. The intent of MG/OPT is to use calculations on ate the progress of the optimization on the nest level.","abstract_html":"In this thesis, we apply the multilevel optimization framework (MG/OPT) to a class of vector quantization problem. Specially, we focus on a problem called centroidal Voronoi tessellations (CVTs). MG/OPT is a generalization of traditional multigrid for solving partial differential equations. This framework assumes that there exists a hierarchy of models of the underlying optimization problem, corresponding to levels of detail in the problem, and the interest is to find the solution at the nest level. The intent of MG/OPT is to use calculations on ate the progress of the optimization on the nest level.","abstract_has_math":false,"creators":["Di, Zichao"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08","date_published":"2013-08","updated_at":"2026-07-27T19:52:02Z","subjects":["Applied mathematics","Multigrid","Nonlinear programming","Optimal control","Optimization","Vector quantization"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:1920/8363"],"render_values":[{"text":"hdl:1920/8363","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2013-08"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Applied mathematics","Multigrid","Nonlinear programming","Optimal control","Optimization","Vector quantization"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:1920/8363"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["In this thesis, we apply the multilevel optimization framework (MG/OPT) to a class of vector quantization problem. Specially, we focus on a problem called centroidal Voronoi tessellations (CVTs). MG/OPT is a generalization of traditional multigrid for solving partial differential equations. This framework assumes that there exists a hierarchy of models of the underlying optimization problem, corresponding to levels of detail in the problem, and the interest is to find the solution at the nest level. The intent of MG/OPT is to use calculations on ate the progress of the optimization on the nest level."]},{"key":"dc:title","label":"Title","values":["A multigrid optimization framework for vector quantization"]}]}],"canonical_facts":{"dc:date.issued":["2013-08"],"dc:description.other":["In this thesis, we apply the multilevel optimization framework (MG/OPT) to a class of vector quantization problem. Specially, we focus on a problem called centroidal Voronoi tessellations (CVTs). MG/OPT is a generalization of traditional multigrid for solving partial differential equations. This framework assumes that there exists a hierarchy of models of the underlying optimization problem, corresponding to levels of detail in the problem, and the interest is to find the solution at the nest level. The intent of MG/OPT is to use calculations on ate the progress of the optimization on the nest level."],"dc:identifier":["hdl:1920/8363"],"dc:subject":["Applied mathematics","Multigrid","Nonlinear programming","Optimal control","Optimization","Vector quantization"],"dc:title":["A multigrid optimization framework for vector quantization"],"dc:type":["Dissertation"]},"updated_at":"2026-07-27T19:52:02Z"}