Manifesto from Dagstuhl Perspectives Workshop 16152 Tensor Computing for Internet of Things

“The fundamental laws necessary for the mathematical treatment of large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved.” –

[1]  Robert A. van de Geijn,et al.  BLIS: A Framework for Rapidly Instantiating BLAS Functionality , 2015, ACM Trans. Math. Softw..

[2]  Fumikazu Miwakeichi,et al.  Decomposing EEG data into space–time–frequency components using Parallel Factor Analysis , 2004, NeuroImage.

[3]  Rasmus Bro,et al.  Multi-way Analysis with Applications in the Chemical Sciences , 2004 .

[4]  Eunhyeok Park,et al.  Compression of Deep Convolutional Neural Networks for Fast and Low Power Mobile Applications , 2015, ICLR.

[5]  Bülent Yener,et al.  Unsupervised Multiway Data Analysis: A Literature Survey , 2009, IEEE Transactions on Knowledge and Data Engineering.

[6]  Anima Anandkumar,et al.  Beating the Perils of Non-Convexity: Guaranteed Training of Neural Networks using Tensor Methods , 2017 .

[7]  L. Tucker,et al.  Some mathematical notes on three-mode factor analysis , 1966, Psychometrika.

[8]  J. Chang,et al.  Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition , 1970 .

[9]  Rasmus Bro,et al.  Multiway analysis of epilepsy tensors , 2007, ISMB/ECCB.

[10]  Razvan Pascanu,et al.  Theano: new features and speed improvements , 2012, ArXiv.

[11]  Tamara G. Kolda,et al.  Tensor Decompositions and Applications , 2009, SIAM Rev..

[12]  Volker Tresp,et al.  Tensor Computing for Internet of Things (Dagstuhl Perspectives Workshop 16152) , 2016, Dagstuhl Manifestos.

[13]  Brett W. Bader,et al.  A preliminary report on the development of MATLAB tensor classes for fast algorithm prototyping. , 2004 .

[14]  Martín Abadi,et al.  TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems , 2016, ArXiv.

[15]  Nikos D. Sidiropoulos,et al.  Tensors for Data Mining and Data Fusion , 2016, ACM Trans. Intell. Syst. Technol..

[16]  Richard A. Harshman,et al.  Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis , 1970 .

[17]  Benoît Meister,et al.  Efficient and scalable computations with sparse tensors , 2012, 2012 IEEE Conference on High Performance Extreme Computing.

[18]  Daniel Kressner,et al.  A literature survey of low‐rank tensor approximation techniques , 2013, 1302.7121.

[19]  Nikos D. Sidiropoulos,et al.  Tensor Decomposition for Signal Processing and Machine Learning , 2016, IEEE Transactions on Signal Processing.