In search of the most efficient and memory-saving visualization of high dimensional data
This addresses the challenge of interactive exploration of large datasets for scientists, though it is incremental as it builds on existing dimensionality reduction methods.
The paper tackled the problem of slow and memory-intensive visualization of high-dimensional data by proposing IVHD algorithms for efficient two-dimensional embedding, achieving dramatically lower time and memory requirements with only slight quality degradation.
Interactive exploration of large, multidimensional datasets plays a very important role in various scientific fields. It makes it possible not only to identify important structural features and forms, such as clusters of vertices and their connection patterns, but also to evaluate their interrelationships in terms of position, distance, shape and connection density. We argue that the visualization of multidimensional data is well approximated by the problem of two-dimensional embedding of undirected nearest-neighbor graphs. The size of complex networks is a major challenge for today's computer systems and still requires more efficient data embedding algorithms. Existing reduction methods are too slow and do not allow interactive manipulation. We show that high-quality embeddings are produced with minimal time and memory complexity. We present very efficient IVHD algorithms (CPU and GPU) and compare them with the latest and most popular dimensionality reduction methods. We show that the memory and time requirements are dramatically lower than for base codes. At the cost of a slight degradation in embedding quality, IVHD preserves the main structural properties of the data well with a much lower time budget. We also present a meta-algorithm that allows the use of any unsupervised data embedding method in a supervised manner.