Multidimensional Compression with Pattern Matching

Sensors typically record their measurements using more precision than the accuracy of the sensing techniques. Thus, experimental and observational data often contains noise that appears random and cannot be easily compressed. This noise increases storage requirement as well as computation time for analyses. In this work, we describe a line of research to develop data reduction techniques that preserve the key features while reduce the storage requirement. Our core observation is that the noise in such cases could be characterized by a small number of patterns based on statistical similarity. In earlier tests, this approach was shown to reduce the storage requirement by over 100-fold for one-dimensional sequences. In this work, we explore a set of different similarity measures for multidimensional sequences. During our tests with standard quality measures such as PSNR, we see that the new compression methods reduce the storage requirements over 100-fold while maintaining relatively low errors in peak signal-to-noise ratio. Thus, we believe that this is a new and effective way of constructing data reduction techniques