It redefines the between - class scatter by adding a weight function according to the between - class distance . therefore , it can separate the classes as much as possible . at the same time , it projects the between - class scatter into the null space of the within - class scatter that contains the most discriminant information 新方法重新定義了樣本類間離散度矩陣,在原始定義的基礎(chǔ)上增加一個由類間距離決定的可變權(quán)函數(shù),使得在選擇投影方向時,能夠更好地分開各個類的樣本。
First , we do not know what kind of bifurcation will happen in advance , it is difficult to choose what kind of regular extended system for detecting them . second , if there are higher order singularities , even the multi - dimensional null space , one parameter is not enough for establishing a regular extended system 首先考慮單參數(shù)非線性問題,如果參數(shù)的個數(shù)足夠多,在延拓過程中通過求解各種正則的擴(kuò)展系統(tǒng)可以求出方程解枝上存在的各種高階奇異點(diǎn),例如高階折疊點(diǎn)、橫截式分歧點(diǎn)、音叉式分歧點(diǎn)等。
null spaceとは意味:{名} : <→NULL-SPACE> null space meaning: Noun: null space A space that contains no points; and empty space Type of: mathematical space , topological space Encyclopedia: Null space null space перевод:мат. нуль-пространство