Non-parametric Message Important Measure: Storage Code Design and Transmission Planning for Big Data

Storage and transmission in big data are discussed in this paper, where message importance is taken into account. Similar to Shannon Entropy and Renyi Entropy, we define non-parametric message important measure (NMIM) as a measure for the message importance in the scenario of big data, which can characterize the uncertainty of random events. It is proved that the proposed NMIM can sufficiently describe two key characters of big data: rare events finding and large diversities of events. Based on NMIM, we first propose an effective compressed encoding mode for data storage, and then discuss the channel transmission over some typical channel models. Numerical simulation results show that using our proposed strategy occupies less storage space without losing too much message importance, and there are growth region and saturation region for the maximum transmission, which contributes to designing of better practical communication system. Index Terms Non-parametric, Message important measure, Big Data, Compressed Storage, NMIM loss distortion, Channel Transmission. Shanyun Liu, Rui She and Pingyi Fan are with Tsinghua National Laboratory for Information Science and Technology(TNList) and the Department of Electronic Engineering, Tsinghua University, Beijing, P.R. China, 100084. e-mail: {liushany16, [email protected], [email protected].} Khaled B. Letaief is with the Department of Electrical and Computer Engineering, HKUST, Hong Kong. email: {[email protected]} and Hamad bin Khalifa University, Qatar. email: {[email protected].} This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 61771283, and in part by the China Major State Basic Research Development Program (973 Program) under Grant 2012CB316100(2).