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Principal Component Analysis (PCA)

Linear dimensionality reduction technique that transforms correlated variables into uncorrelated components by maximizing explained variance along orthogonal axes.

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t-SNE (t-Distributed Stochastic Neighbor Embedding)

Non-linear dimensionality reduction algorithm preserving local structures by minimizing the Kullback-Leibler divergence between probability distributions in the original and reduced space.

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Isomap

Dimensionality reduction algorithm preserving geodesic distances by constructing a neighborhood graph and using multidimensional scaling.

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MDS (Multidimensional Scaling)

Visualization technique preserving pairwise distances between points by finding a low-dimensional configuration that minimizes distance preservation stress.

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Explained Variance

Proportion of total data variance captured by each principal component, serving as a criterion for selecting the optimal number of dimensions.

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Autoencoders

Unsupervised neural networks learning compressed representations by forcing the output to reconstruct the input through a reduced-dimensional latent space.

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Factor Analysis

Statistical method modeling observed variables as linear combinations of unobserved latent factors, separating common variance and unique variance.

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t-SNE Perplexity

Hyperparameter controlling the effective number of neighbors considered in the t-SNE algorithm, influencing the balance between preservation of local and global structures.

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ICA (Independent Component Analysis)

Blind source separation technique that seeks to decompose multivariate signals into statistically independent components by maximizing non-Gaussianity.

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Variational Autoencoders

Probabilistic extension of autoencoders that learns a distribution in the latent space, enabling the generation of new data and better regularization.

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PHATE (Potential of Heat-diffusion for Affinity-based Trajectory Embedding)

Algorithm that preserves trajectories and branches in data by combining heat diffusion and dimensionality reduction to visualize continuous processes.

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NMF (Non-negative Matrix Factorization)

Matrix decomposition constrained to non-negative values, producing interpretable bases and additive representations of data.

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