多次元データ再構成のための数理計画とその進展

DOI Web Site Web Site 参考文献12件

書誌事項

タイトル別名
  • Mathematical Programming for Multidimensional Data Reconstruction and Its Progress
  • タジゲン データ サイコウセイ ノ タメ ノ スウリ ケイカク ト ソノ シンテン

この論文をさがす

抄録

<p>Research on reconstructing original data from data that can only be partially observed due to noise or missing data has been ongoing for many years. Such problems are generally referred to as matrix estimation problems. The problem can be formulated when the data to be estimated can be defined as matrix variables in the problem of reconstructing partially observed data. When the properties of the target matrix are unknown, a common approach is a method called matrix rank minimization, which is known for its high estimation accuracy in various fields such as audio, image, and wireless communication. However, this method assumes that the data belong to a linear subspace, and if this assumption is not satisfied, the estimation accuracy significantly deteriorates. Therefore, in recent years, this assumption has been extended to manifolds, and various methods based on this assumption have been proposed. This paper reviews the progress of these methods and describes the latest techniques in this field.</p>

収録刊行物

参考文献 (12)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ