Granular computing with multiple granular layers for brain big data processing

Big data is the term for a collection of datasets so huge and complex that it becomes difficult to be processed using on-hand theoretical models and technique tools. Brain big data is one of the most typical, important big data collected using powerful equipments of functional magnetic resonance imaging, multichannel electroencephalography, magnetoencephalography, Positron emission tomography, near infrared spectroscopic imaging, as well as other various devices. Granular computing with multiple granular layers, referred to as multi-granular computing (MGrC) for short hereafter, is an emerging computing paradigm of information processing, which simulates the multi-granular intelligent thinking model of human brain. It concerns the processing of complex information entities called information granules, which arise in the process of data abstraction and derivation of information and even knowledge from data. This paper analyzes three basic mechanisms of MGrC, namely granularity optimization, granularity conversion, and multi-granularity joint computation, and discusses the potential of introducing MGrC into intelligent processing of brain big data.

[1]  Zhang Bo,et al.  Theory of Fuzzy Quotient Space (Methods of Fuzzy Granular Computing) , 2003 .

[2]  Bo Zhang,et al.  The Quotient Space Theory of Problem Solving , 2003, Fundam. Informaticae.

[3]  Keith W. Miller,et al.  Big Data: New Opportunities and New Challenges [Guest editors' introduction] , 2013, Computer.

[4]  Jianguo Lu,et al.  Bias Correction in a Small Sample from Big Data , 2013, IEEE Transactions on Knowledge and Data Engineering.

[5]  Lotfi A. Zadeh,et al.  Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic , 1997, Fuzzy Sets Syst..

[6]  Philip S. Yu,et al.  Bag Constrained Structure Pattern Mining for Multi-Graph Classification , 2014, IEEE Transactions on Knowledge and Data Engineering.

[7]  Geoffrey E. Hinton,et al.  Reducing the Dimensionality of Data with Neural Networks , 2006, Science.

[8]  Zhangbo,et al.  The Quotient Space Theory of Problem Solving , 2004 .

[9]  Y. Yao Granular Computing : basic issues and possible solutions , 2000 .

[10]  Honglak Lee,et al.  Convolutional deep belief networks for scalable unsupervised learning of hierarchical representations , 2009, ICML '09.

[11]  Brain Informatics , 2010, Lecture Notes in Computer Science.

[12]  Wei Guo,et al.  Store, schedule and switch - A new data delivery model in the big data era , 2013, 2013 15th International Conference on Transparent Optical Networks (ICTON).

[13]  Lotfi A. Zadeh,et al.  Toward Human Level Machine Intelligence - Is It Achievable? The Need for a Paradigm Shift , 2008, IEEE Computational Intelligence Magazine.

[14]  Witold Pedrycz,et al.  Granular Computing: Perspectives and Challenges , 2013, IEEE Transactions on Cybernetics.

[15]  Yuan Zhang,et al.  Audio Signal Blind Deconvolution Based on the Quotient Space Hierarchical Theory , 2011, RSKT.

[16]  Witold Pedrycz,et al.  A Granular Description of ECG Signals , 2006, IEEE Transactions on Biomedical Engineering.

[17]  L Chen,et al.  Topological structure in visual perception. , 1982, Science.

[18]  Adam Gacek,et al.  Granular modelling of signals: A framework of Granular Computing , 2013, Inf. Sci..

[19]  Marimuthu Palaniswami,et al.  Fuzzy c-Means Algorithms for Very Large Data , 2012, IEEE Transactions on Fuzzy Systems.

[20]  Wang Guo,et al.  EXTENSION OF ROUGH SET UNDER INCOMPLETE INFORMATION SYSTEMS , 2002 .

[21]  Jianhui Chen,et al.  Constructing a New-Style Conceptual Model of Brain Data for Systematic Brain Informatics , 2012, IEEE Transactions on Knowledge and Data Engineering.

[22]  Minghua Chen,et al.  Moving Big Data to The Cloud: An Online Cost-Minimizing Approach , 2013, IEEE Journal on Selected Areas in Communications.

[23]  Mary Czerwinski,et al.  Interactions with big data analytics , 2012, INTR.

[24]  Ashley A. White Big data are shaping the future of materials science , 2013 .

[25]  Yiyu Yao,et al.  A Survey on Rough Set Theory and Applications: A Survey on Rough Set Theory and Applications , 2009 .

[26]  Guoyin Wang,et al.  3DM: Domain-oriented Data-driven Data Mining , 2009, Fundam. Informaticae.

[27]  C. L. Philip Chen,et al.  Data-intensive applications, challenges, techniques and technologies: A survey on Big Data , 2014, Inf. Sci..

[28]  Marc'Aurelio Ranzato,et al.  Building high-level features using large scale unsupervised learning , 2011, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[29]  Guoyin Wang,et al.  Granular Computing Based on Gaussian Cloud Transformation , 2013, Fundam. Informaticae.

[30]  Yiyu Yao,et al.  Web Intelligence Meets Brain Informatics , 2006, WImBI.

[31]  A W Toga,et al.  Maps of the Brain , 2001, The Anatomical record.

[32]  Witold Pedrycz,et al.  Allocation of information granularity in optimization and decision-making models: Towards building the foundations of Granular Computing , 2014, Eur. J. Oper. Res..

[33]  Qinghua Hu,et al.  Adaptive neighborhood granularity selection and combination based on margin distribution optimization , 2013, Inf. Sci..

[34]  Jianzhong Li,et al.  Efficient Skyline Computation on Big Data , 2013, IEEE Transactions on Knowledge and Data Engineering.

[35]  Yoshua. Bengio,et al.  Learning Deep Architectures for AI , 2007, Found. Trends Mach. Learn..

[36]  Yasuhiro Fujiwara,et al.  Linked taxonomies to capture users' subjective assessments of items to facilitate accurate collaborative filtering , 2014, Artif. Intell..

[37]  Weiguo Fan,et al.  Effective and efficient dimensionality reduction for large-scale and streaming data preprocessing , 2006, IEEE Transactions on Knowledge and Data Engineering.

[38]  James F. Peters,et al.  Rough Neurocomputing: A Survey of Basic Models of Neurocomputation , 2002, Rough Sets and Current Trends in Computing.

[39]  Kaustubh Supekar,et al.  Sparse logistic regression for whole-brain classification of fMRI data , 2010, NeuroImage.

[40]  D. Dubois,et al.  ROUGH FUZZY SETS AND FUZZY ROUGH SETS , 1990 .

[41]  Guoyin Wang,et al.  Rough reduction in algebra view and information view , 2003, Int. J. Intell. Syst..

[42]  Yiyu Yao,et al.  A multiview approach for intelligent data analysis based on data operators , 2008, Inf. Sci..

[43]  F. Oquendo,et al.  An Architecture Model of Distributed Simulation System Based on Quotient Space , 2012 .

[44]  Deyi Li,et al.  Artificial Intelligence with Uncertainty , 2004, CIT.

[45]  Hao Wang,et al.  Online Feature Selection with Streaming Features , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[46]  Ramani Duraiswami,et al.  A Fast Algorithm for Learning a Ranking Function from Large-Scale Data Sets , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[47]  N. Turk-Browne Functional Interactions as Big Data in the Human Brain , 2013, Science.

[48]  Witold Pedrycz,et al.  Building the fundamentals of granular computing: A principle of justifiable granularity , 2013, Appl. Soft Comput..

[49]  Yoshua Bengio,et al.  Greedy Layer-Wise Training of Deep Networks , 2006, NIPS.

[50]  Veda C. Storey,et al.  Business Intelligence and Analytics: From Big Data to Big Impact , 2012, MIS Q..

[51]  J. Greer,et al.  Granularity Hierarchies , 1992 .

[52]  Wang Guo,et al.  A Survey on Rough Set Theory and Applications , 2009 .

[53]  Lotfi A. Zadeh,et al.  Is there a need for fuzzy logic? , 2008, NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society.

[54]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[55]  Andrey Gubarev,et al.  Dremel : Interactive Analysis of Web-Scale Datasets , 2011 .

[56]  Guoyin Wang,et al.  TMLNN: triple-valued or multiple-valued logic neural network , 1998, IEEE Trans. Neural Networks.

[57]  V. Marx Biology: The big challenges of big data , 2013, Nature.

[58]  Bo Zhang,et al.  Fuzzy reasoning model under quotient space structure , 2005, Inf. Sci..

[59]  Sankar K. Pal,et al.  Rough-wavelet granular space and classification of multispectral remote sensing image , 2011, Appl. Soft Comput..

[60]  Moni Naor,et al.  Data Science , 2015, Lecture Notes in Computer Science.

[61]  Ivan Bedini,et al.  The Trento Big Data Platform for Public Administration and Large Companies: Use cases and Opportunities , 2013, Proc. VLDB Endow..

[62]  Chris Mattmann,et al.  Computing: A vision for data science , 2013, Nature.

[63]  Pascal Vincent,et al.  Representation Learning: A Review and New Perspectives , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[64]  Alexandros Labrinidis,et al.  Challenges and Opportunities with Big Data , 2012, Proc. VLDB Endow..