Dimensionality Reduction
Dimensionality reduction aims to transform high-dimensional data into lower-dimensional representations while preserving essential information, facilitating data visualization, analysis, and efficient processing. Current research emphasizes developing novel algorithms, including those based on neural networks (autoencoders, generative adversarial networks), graph neural networks, and adaptations of classical methods like PCA and t-SNE, to improve the accuracy and efficiency of dimensionality reduction for various data types (e.g., time series, images, graphs). These advancements are crucial for addressing the "curse of dimensionality" in diverse fields, ranging from medical image analysis and climate modeling to improving the performance and scalability of machine learning models.
Papers
Dimensionality Reduction and Nearest Neighbors for Improving Out-of-Distribution Detection in Medical Image Segmentation
McKell Woodland, Nihil Patel, Austin Castelo, Mais Al Taie, Mohamed Eltaher, Joshua P. Yung, Tucker J. Netherton, Tiffany L. Calderone, Jessica I. Sanchez, Darrel W. Cleere, Ahmed Elsaiey, Nakul Gupta, David Victor, Laura Beretta, Ankit B. Patel, Kristy K. Brock
On Probabilistic Embeddings in Optimal Dimension Reduction
Ryan Murray, Adam Pickarski