Toward Scalable Analysis of Multidimensional Scientific Data: A Case Study of Electrode Arrays

Many modern scientific applications involve large volumes of multidimensional data and extensive computation. Although distributed systems and tools are becoming increasingly scalable, they are still far away to catch up the exponential growth rate exhibited by many of those scientific big-data applications. This paper presents our early effort on overcoming the exponential complexity of one widely deployed workload over multidimensional scientific data—the n×n numerical analysis on two-dimensional arrays. More specifically, we propose a new approach to reduce the exponentially-grown data into a semantically-equivalent polynomial form in the context of two-dimensional electrode arrays, which are widely used in biomedical engineering, electrical engineering, and mechanical engineering. We have implemented a system prototype in Python, preliminary results show that the proposed approach outperforms the state-of-the-practice in various metrics: (i) the consumed space is six orders of magnitude smaller; (ii) the execution time is three orders of magnitude faster; and (iii) the scalability is improved by two orders of magnitude—from 6×6 to 100 × 100—on mainstream servers in reasonable time.