Questions tagged [discriminant-analysis]
Linear Discriminant Analysis (LDA) is a dimensionality reduction and classification method. It finds low-dimensional subspace with the strongest class separation and uses it to perform classification. Use this tag for quadratic DA (QDA) too.
485 questions
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Linear discriminant analysis: what is "class means along discriminant axis"?
Lefse is a widely used tool in metagenimics with implementations in python and R. (The former is the original one, which under the hood relies on R, the latter is a re-implementation in R.) The final ...
2 votes
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48 views
Interpreting source code for linear discriminant analysis
I am trying to understand the CVA function in the Morpho package in R, which performs canonical variate analysis, aka, linear discriminant analysis. I am confused as to how the canonical variates (CV),...
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Impact of Excessive Zeros in miRNA Data on PCA and LDA
I am working on a case-cohort (~ case-control, but putting all cases in the subcohort) study evaluating miRNA markers. The variables of interest are continuous quantitative measures of miRNA ...
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Follow-Up Analysis of a MANOVA Main Effect using DDA (Descriptive Discriminant Analysis)/CDA (Canonical Discriminant Analysis) in R
I conducted a 2x2 MANOVA with 9 dependent variables and found a significant main effect for one of the independent variables, which I want to examine further. So far, I have run univariate ANOVAs with ...
2 votes
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Sufficient Dimension Reduction (inverse regression) vs Discriminant Analysis
I was recently pointed to a class of somewhat well known dimensionality reduction techniques under the name of "Sufficient Dimension Reduction" (e.g. here). I am struggling to understand ...
1 vote
1 answer
108 views
Does Fisher's Discriminant Analysis (FDA) whiten the within-classes covariance? Intuition behind it?
The objective of Fisher's Discriminant Analysis, or Linear Discriminant Analysis as a dimensionality reduction technique is to find the set of features $W$ that maximize the ratio between the between-...
1 vote
1 answer
91 views
Linear Discriminant Analysis - Basic Question regarding the formulas
I am reading "Introduction to Statistical Learning" by Hastie and Tishbirani. They say on page 148 that we look for the class $k$ for which we maximize the function $$\delta_k(x) =x \cdot \...
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how is the optimal component selection on PLS-LDA?
I currently have a project on applying dimensionality reduction using PLS to the LDA classification method. Is the determination of the components used in LDA tested using the LDA model or using the ...
0 votes
1 answer
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Equivalent of Discriminant Analysis with Categorical Variables as Predictors
I have a dataset where students vote for a class speaker. This dataset includes the student's id, the class speaker that he/she is voting for, and his/her sociodemographic characteristics (gender, age,...
1 vote
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69 views
Influence of covariance on the LDA functions
I'm trying to understand the behavior of Linear Discriminant Analysis (LDA) in a dataset where a certain variable(s) is highly correlated with many others, yet - let's say for the sake of simplicity ...
1 vote
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What are the implications of setting off-diagonal elements of estimated covariance to 0?
I have sometimes seen in published work that when estimating covariance matrices, off-diagonal elements are set to 0. For example, in this paper, $N$ neurons are recorded and authors wish to use the $...
4 votes
5 answers
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Is it valid to exhaustively test all possible combinations of features to find the best combination?
I have about 1000 labelled observations from about 50 subjects responding physiologically under different situations and am trying to classify the situation (usually into three classes of roughly ...
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Creating a discriminant function from one known group and one mixed group
I have a dataset composed of captures of individuals (ringed birds), all from the same species. Because the captures took place during spring, summer and autumn, we have trapped breeding and migrating ...
2 votes
1 answer
64 views
Can AdaBoost discriminate the data?
Assume that you have an image $X$ and you want to search a specific small object inside the image $X$. It's only one object. So you training an AdaBoost model with only one valid train sample and the ...
3 votes
1 answer
360 views
Two-class LDA with multiple variables: can we separate classes and know the weight of variables?
So far I have performed an LDA having two classes, but I'm really struggling with certain aspectos of the analysis. I am working with biomedical data in which I would like to classify in k=2 groups: ...