Which of the following is alternative technique toprincipal component analysis?

Factor analysis
Independent components analysis
Latent semantic analysis
All of the mentioned

The correct answer is: All of the mentioned.

Principal component analysis (PCA) is a statistical procedure that uses an orthogonal transformation to convert a set of observations of possibly correlated variables into a set of values of linearly uncorrelated variables called principal components. The number of principal components is less than or equal to the number of original variables. This transformation is defined in such a way that the first principal component has the largest possible variance (that is, accounts for as much of the variability in the data as possible), and each succeeding component in turn has the highest variance possible under the constraint that it is orthogonal to (i.e., uncorrelated with) the preceding components.

Factor analysis is a statistical method that uses a mathematical model to represent observed variables as a linear combination of a smaller number of unobserved variables called factors. Factor analysis is used to identify the underlying structure of a set of variables, and to reduce the number of variables that need to be analyzed.

Independent components analysis (ICA) is a statistical method that extracts a set of components from a set of data that are statistically independent. ICA is often used to extract features from data, such as images or signals.

Latent semantic analysis (LSA) is a statistical method that analyzes a collection of documents to identify the underlying concepts that are represented in the documents. LSA is often used to extract meaning from text, such as to find the most important words in a document or to cluster documents together based on their content.

All of these methods are alternative techniques to PCA. They each have their own strengths and weaknesses, and the choice of which method to use depends on the specific application.