Sample Efficient Learning of Factored Embeddings of Tensor Fields

arXiv:2209.00372v2 Announce Type: replace
Abstract: Data tensors of orders 2 and greater are now routinely being generated. These data collections are increasingly huge and growing. Many scientific and medical data tensors are tensor fields (e.g., images, videos, geographic data) in which the spatial neighborhood contains important information. Directly accessing such large data tensor collections for information has become increasingly prohibitive. We learn approximate full-rank and compact tensor sketches with decompositive representations providing compact space, time and spectral embeddings of tensor …

abstract arxiv cs.lg cs.na data embeddings fields generated images information math.na medical medical data orders sample spatial tensor type videos