Last Updated :2025/11/30

cross-polytope

Noun
Japanese Meaning
(幾何学)ユークリッド空間の各直交座標軸上にある、原点から等距離に位置する2点(各軸ごとに存在)の集合の凸包として定義される多胞体。別名オーソプレックスと呼ばれる。
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高次元最適化では、研究者たちはしばしばスパース信号復元を理解するために、各座標軸上に原点から等距離にある点がそれぞれ2つずつある点集合の凸包の性質を調べる。

plural

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(geometry) A polytope that is the convex hull of points, two on each Cartesian axis of a Euclidean space, that are equidistant from the origin; an orthoplex.

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cross-polytope

In high-dimensional optimization, researchers often examine the properties of the cross-polytope to understand sparse signal recovery.

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In high-dimensional optimization, researchers often examine the properties of the cross-polytope to understand sparse signal recovery.

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