LU분해

LU분해 – 역행렬

선형대수학 By dino · 2021년 10월 8일 · 0 Comment

1. LU분해 LU 분해는 임의의 행렬 A를 하삼각행렬 L과 상삼각행렬 U 의 곱인 A = LU로 표현하는 것을 LU분해(LU matrix decompose) 또는 LU 행렬분해라고 하고 아래와 같은 행태로 표현한다. (a) $A = \begin{bmatrix} 1 & 0 & 0 & 0... Read more

<통계>
– One Sample T Test
– Two Sample T Test
– Paired T Test
– One Way ANOVA
– Two Way ANOVA
– Linear Regression – 선형회귀분석
– Generalized Linear Model
– Logistic Regression
– Model Building and Applying
– 자료의 연관
– 표본분포
– 표본분포 – 카이제곱분포
– 표본분포 – t 분포
– 표본분포 – F 분포
– 통계적 추정
– 지수평활법(exponential smoothing)
– ARIMA – 비계절성
– ARIMA – 계절성
– 단위근과 차분
– 시계열분해방법

<머신러닝>
– 분류모형
– 의사결정나무(1) (Decision Tree)
– 의사결정나무(2) (Decision Tree)
– 랜덤포레스트 (Random Forests)

<선형대수학>
– 가우스-조단 소거법
– LU 분해
– 행렬 특징
– 공분산행렬

<Programming>
– python – SettingWithCopyWarning
– pandas round 함수 사용시 주의할 점
– python pandas 정렬( sort_values, nlargest, nsmallest)
– python pandas 전처리 (범주형)
– EDA (EXPLORATORY DATA ANALYSIS) WITH PYTHON
– python data 시각화 – matplotlib #1
– python data 시각화 – matplotlib #2
– python data 시각화 – pandas #1
– python data 시각화 – pandas #2
– python data 시각화 – seaborn #1
– python data 시각화 – seaborn #2

<Statistics Test>
– Bartlett’s Test
– Chi Square Test
– Correlation Test
– Duncan Test
– F Test
– Friedman Test
– Kruskal-Wallis Test
– Levene’s Test
– Ljung-Box Test
– Log Likelihood Ratio Test
– Mann-Whitney Test
– Normality Test
– Tukey’s Range Test
– Wilcoxon Test
– Robust ANOVA

<Classification>
– AdaBoost Classification
– Decision Tree
– K-nearest neighbors
– Logistic Regression
– MLP Classification
– Naive Bayes
– One vs Rest LR Classifier
– Random Forest
– SVM
– XGB Classification

<Regression>
– AdaBoost Regression
– GLM
– Isotonic Regression
– Linear Regression
– Penalized Linear Regression
– PLS Regression
– Polynomlal Regression
– Stepwise Linear Regression

<Clustering>
– Agglomerative Clustring
– Gaussian Mixture
– Hlerarchical Clustering
– K-Means
– Power Iteration Clustring

<Time Series>
– ARX
– ARIMA
– Holt-Winters
– AutoCorrelation
– Cross Correlation
– Time Series Decomposition
– Time Series Distance
– Time Series Smoothen
– Unit Root Test
– SPC ruleset AD