Information Density Holography for Multistage Data Reduction and Storage

数字信息支撑着现代生活，数据生成和移动水平呈指数级增长，预计到2020年将从44亿TB/年增加到440亿TB/年。然而，这些数据产生的价值--支持1.5万亿美元的收益--完全取决于强大的数据存储、访问和传输框架，这严重依赖于数据量。与现有的数据存储和压缩技术不同，现有的数据存储和压缩技术无法弥合数据容量差距，而信息密度全息(IDH)的整体概念已由Penteract 28联合创始人兼首席执行官George Frangou发明和开发，作为多阶段高保真数据量减少的框架，基于复杂拓扑/全息数据结构的降维和压缩。现在Penteract28试图证明用于高压缩数据存储的IDH的先进概念，作为未来大数据存储、访问和移动技术的使能技术。通过为特定存储方面开发IDH的数学和软件实现的项目，Penteract 28的目标是逐步减少数据量。在拓扑数据分析(TDA)、离散几何数据分析(GDA)、压缩传感、主成分分析和数字全息的最新进展的基础上，拟议的项目将开发：高ND值拓扑数据结构的全息变换、拓扑/几何数据分析；组合压缩算法；以及用于高保真重建的新的解压缩方案。

Digital information underpins modern life and levels of data generation and movement aregrowing exponentially, predicted to rise from 4.4 billion TB (2013) to 44bn TB/yr by 2020.However, the value yielded by this data – supporting $1.5trillion benefits – is entirelyconditional on a robust framework for data storage, access and transfer, critically dependenton the data volume.In contrast to existing data storage and compression technologies, which are not able to bridgethe data capacity gap, the overall concept of information density holography (IDH) has beeninvented and developed by Penteract 28 Co-founder and CEO George Frangou as aframework for multi-stage high-fidelity data volume reduction, based on dimensionalreduction and compression of complex topological/holographic data structures.Now Penteract28 seek to prove the advanced concept of IDH for high compression datastorage, as an enabling technology for future big data storage, access and movementtechnologies. Through a project to develop a mathematical and software implementation ofIDH for specific storage aspects, Penteract28 target a step change in data volume reduction.Building significantly on recent advances in topological data analysis (TDA), discretegeometric data analysis (GDA), compressive sensing, principle component analysis anddigital holography, the proposed project will develop: holographic transformations of high NDtopological data structures, topological/geometric data analysis; combinatory compressionalgorithms; and a novel decompression scheme for high fidelity reconstruction.