[數] 典型相關分析；[數] 典範相關分析
By canonical correlation analysis, sampling time was selected, and foliar mutriment elements closely related to forest tree growth were determined.
用典型相關分析方法選擇采樣時間、确定與林木生長有密切關系的葉片養分元素。
Such new variable is tested by pattern recognition for saturated alcohol and ether, combined with block variables' orthogonal computation and canonical correlation analysis.
聯合塊變量正交化和典型相關分析方法，以飽和醇醚的模式識别模型對變量進行了驗證。
The drive mechanisms of the evolution of landuse pattern are stu***d by means of canonical correlation analysis of NOSA and the trend of evolution of landuse pattern is predicted using GKSIM model.
并運用NOSA的典型相關分析進行了土地利用格局演變驅動機制研究，借助GKSIM模型對土地利用格局演變趨勢進行了預測分析。
With SPSS13.0 software, the land use structure of each county in Gansu province was stu***d by using cluster analysis, principal component analysis, canonical correlation analysis and other methods.
本文借助于SPSS13.0軟件，通過聚類分析、主成分分析、典型相關分析等分析方法對甘肅省各縣域的土地利用結構進行了研究。
In the second, the relations were stu***d with canonical correlation analysis between the agriculture indexes of An'tou tree peony and physicochemical indexes of formulation of media.
結果表明案頭牡丹的農藝指标與基質理化指标相關極顯著，兩組指标之間的相關主要是由株花蕾數與容重有顯著相關引起的。
Trend test and canonical correlation analysis were used to study the factors which affected rural drinking water and sanitation.
利用趨勢性檢驗、典型相關進行農村飲用水和環境衛生的影響因素分析。
This paper analyzes the change of cultivated land intensive use degree from 1990 to 2006 in China and its influencing factors using canonical correlation analysis.
本文運用典型相關分析方法，對全國1990-2006年的耕地利用集約度變化态勢及其影響因素進行了分析。
Canonical correlation analysis (CCA) is a multivariation analysis technique examining the maximum correlation between two sets of variates.
典範相關分析是一種檢驗兩組變量間最大相關的多元統計技術。
Methods A questionnaire survey was conducted among 917 college students by using coping style questionnaires and EMBU. Data were analyzed by canonical correlation analysis with SAS software.
方法采用應付方式問卷和父母教養方式評價量表（EMBU）對917名大學生進行問卷調查，利用SAS統計軟件包進行典型相關分析。
As a new type of algorithm, locality preserving canonical correlation analysis (LPCCA) can solve a large number of non-linear problems.
局部保持的典型相關分析（LPCCA）是一種能夠解決大量非線性問題的新型算法。
Canonical correlation analysis and double-stepwise regression analysis were used to discuss the interrelation and interactions of soil main fertility elements and tobacco chemical components.
采用典型相關分析和逐步回歸分析讨論了貴州省主産煙區土壤養分對煙葉的化學成份和品質的影響。
A new method of combination of Canonical Correlation Analysis and Maximum Scatter Difference Discriminate Analysis is developed in this paper.
提出了一種融合典型相關分析與最大散度差鑒别分析的特征抽取新方法。
A new method of combination of Canonical Correlation Analysis(CCA) and Maximum Scatter Difference Discriminate Analysis(MSDDA) is developed in this paper.
提出了一種融合典型相關分析與最大散度差鑒别分析的特征抽取新方法。
The correlation relationship between morphological indices and climatic factors for Corylus heterophylla pollen is researched by means of canonical correlation analysis.
應用典範相關分析法對榛子花粉形态指标與氣候因子相關關系進行了研究。
Canonical correlation analysis was applied in provenance research with data from provenance trials of Platycladus orientalis.
本文以側柏種源試驗為例，将典型相關分析用于種源研究。
Aiming at resolving the breeding problem of confection sunflower, canonical correlation analysis was used for its main characters in this research.
試驗針對食用向日葵育種中存在的實際問題，對其主要性狀進行典型性相關分析研究。
Canonical correlation analysis is shaped and canonical correlation coefficient and canonical variate are separately introduced for population and sample.
論述了典型相關分析的形成過程，并分别對總體及樣本典型相關系數及典型變量作了系統的導出。
Based on the theory of classical canonical correlation analysis(CCA), by defining class correlation, an enhanced canonical correlation analysis(ECCA) is proposed.
在傳統的典型相關分析（CCA）基礎上，定義了類别相關性，提出了增強典型相關分析（ECCA）方法。
By introducing the kernel trick to the canonical correlation analysis(CCA), a feature fusion method based on kernel CCA(KCCA) is established and is then used to capture the associated feat.
該方法首先采集側面視角人臉圖像，然後将核方法引入到典型相關分析（CCA）中，提出基于核CCA的特征融合方法，并應用其提取人耳人臉的關聯特征進行個體的分類識别。
Methods From 1978 to 1993, canonical correlation analysis of the farmland rodent density and climate factors in Kaijiang county, Sichuan province was conducted.
方法采用典型相關分析對開江縣1978—1993年農田鼠密度與氣象因素進行統計分析。
Canonical correlation analysis(CCA) was applied to extract the frequency components of the right-and-left visual fields.
用典型相關分析法處理數據，提取左右視野區與刺激對應的頻率成分。
Second, it has simply introduced principal components analysis and canonical correlation analysis.
在本文中簡單介紹了主成分分析，典型相關分析。
Factor analysis and canonical correlation analysis(CCA) based on 18 test indices of 595 batches cigarettes manufactured in some Tobacco corporations are carried out.
應用因子分析與典型相關分析方法對卷煙生産企業批量樣品實際檢測的18個檢測指标進行了數據挖掘與信息抽提。
The Pan-pearl River Delta Region; Scientific and Technological Resources Configuration; Canonical Correlation Analysis;
泛珠三角區域；科技資源配置；典型相關分析；
|canonical analysis;[數]典型相關分析；典範相關分析
典型相關分析（Canonical Correlation Analysis, CCA）是一種用于分析兩組隨機變量之間線性關系的多元統計方法。其核心目标是尋找兩組變量的線性組合，使得這兩組線性組合之間的相關系數最大化。該方法由霍特林（Harold Hotelling）于1936年首次提出，現廣泛應用于心理學、經濟學、生物信息學等領域。
設兩組變量分别為 ( X = (X_1, X_2, ldots, X_p) ) 和 ( Y = (Y_1, Y_2, ldots, Yq) )。CCA的目标是找到權重向量 ( mathbf{a} in mathbb{R}^p ) 和 ( mathbf{b} in mathbb{R}^q )，使得線性組合 ( U = mathbf{a}^top X ) 和 ( V = mathbf{b}^top Y ) 的相關系數最大化： $$ max{mathbf{a}, mathbf{b}} rho = frac{text{Cov}(U, V)}{sqrt{text{Var}(U) text{Var}(V)}} $$ 該問題可轉化為求解廣義特征值問題： $$ Sigma{XX}^{-1} Sigma{XY} Sigma{YY}^{-1} Sigma{YX} mathbf{a} = rho mathbf{a} $$ 其中 ( Sigma{XX}, Sigma{YY} ) 分别為 ( X ) 和 ( Y ) 的協方差矩陣，( Sigma_{XY} ) 為互協方差矩陣。
| 方法 | 適用場景 | 與CCA的區别 |
|---|---|---|
| 主成分分析（PCA） | 單組變量降維 | CCA關注兩組變量間的關聯 |
| 多元回歸（MLR） | 預測單因變量 | CCA同時處理多因變量和多自變量 |
| 偏最小二乘（PLS） | 高維數據預測 | CCA更側重相關性最大化而非預測 |
經典文獻參考：
- Hotelling, H. (1936). Relations Between Two Sets of Variates. Biometrika.
- Borga, M. (2001). Canonical Correlation Analysis. Encyclopedia of Cognitive Science.
- Hardoon, D. R. (2004). Canonical Correlation Analysis: An Overview with Application to Learning Methods. Neural Computation.
典型相關分析（Canonical Correlation Analysis, CCA）是一種用于研究兩組變量之間整體相關性的多元統計方法。以下為詳細解釋：
CCA旨在通過構建兩組變量的線性組合（稱為典型變量），最大化這些組合之間的相關系數，從而反映兩組數據的整體關聯性。例如，分析身高體重（第一組變量）與跑步能力（第二組變量）之間的關系時，CCA可找到兩者的綜合指标并衡量其相關性。
該方法由哈羅德·霍特林（Harold Hotelling）于1936年首次提出，最初應用于生物統計領域，後擴展至經濟學、醫學等多個學科。
如需進一步了解數學推導或具體案例，可參考統計學教材或權威文獻（如、7、11）。
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