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Supporting Dynamic Quantization for High-Dimensional Data Analytics

Gheorghi Guzun, Guadalupe Canahuate
2017 Proceedings of the ExploreDB'17 on - ExploreDB'17  
In this work we set up to investigate whether bit-sliced indices can be used for exploratory analytics such as similarity searches and data clustering for high-dimensional big-data.  ...  We also propose a novel dynamic quantization called Query dependent Equi-Depth (QED) quantization and show its effectiveness on characterizing high-dimensional similarity.  ...  ACKNOWLEDGEMENTS This research was partially supported by NSF grant DMS-1557578 and NIH award number R01CA214825.  ... 
doi:10.1145/3077331.3077336 pmid:29757329 pmcid:PMC5947868 dblp:conf/sigmod/GuzunC17 fatcat:tktnl5wslfepzp6lrlox3qcgrm

Physics With Two Time Dimensions [article]

Jacob G. Foster, Berndt Müller
2010 arXiv   pre-print
We discuss several possible realizations of such theories, including holographic representations and the possibility that quantum dynamics emerges as a consequence of a second time dimension.  ...  We show that the common arguments used to rule such theories out do not apply if the dynamics associated with the additional time dimension is thermal or chaotic and does not permit long-lived time-like  ...  A numerical study comparing the "self-quantizing" five-dimensional classical gauge theory with the canonically quantized gauge theory in four dimensions, which was undertaken by Biró and Müller for the  ... 
arXiv:1001.2485v2 fatcat:xq2kwv5nnbaera6pokvg3wz6o4

Three-Dimensional Disordered Conductors in a Strong Magnetic Field: Surface States and Quantum Hall Plateaus

J. T. Chalker, A. Dohmen
1995 Physical Review Letters  
We demonstrate the existence of three phases - insulator, metal and quantized Hall conductor - in the two-dimensional parameter space obtained by varying the Fermi energy and the interlayer coupling strength  ...  Transport in the quantized Hall conductor occurs via extended surface states.  ...  These have been exploited for three-dimensional conductors by Azbel 9] . Classically, there are three components to the dynamics, with widely-separated time scales.  ... 
doi:10.1103/physrevlett.75.4496 pmid:10059923 fatcat:njoiogoutjeotdafhenwvmni4m

Cluster-Aware Compression with Provable K-means Preservation [chapter]

Nikolaos M. Freris, Michail Vlachos, Deepak S. Turaga
2012 Proceedings of the 2012 SIAM International Conference on Data Mining  
This work rigorously explores the design of clusterpreserving compression schemes for high-dimensional data.  ...  In addition, we provide an efficient scheme for multi-bit allocation, per cluster and data dimension, which enables a trade-off between high compression efficiency and low data distortion.  ...  Our approach has the additional advantages of reduced storage requirements in addition to guaranteed preservation and minimal distortion of the original data structure. c) Supporting high-quality data  ... 
doi:10.1137/1.9781611972825.8 dblp:conf/sdm/FrerisVT12 fatcat:ljzbwxdlnfcbloioqmkmkmtkty

High dynamic range preserving compression of light fields and reflectance fields

Nicolas Menzel, Michael Guthe
2007 Proceedings of the 5th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa - AFRIGRAPH '07  
Furthermore, statistical compression methods -like principal component analysis (PCA)that are commonly used for compression are optimal for linearly distributed values and thus cannot handle the high dynamic  ...  In this paper, we address both of these problems introduced by the acquisition of high dynamic range light and reflectance fields.  ...  High Dynamic Range Compression The vastly growing interest in the field of high dynamic range imagery has already lead to several methods for the compression of HDR still images.  ... 
doi:10.1145/1294685.1294697 dblp:conf/afrigraph/MenzelG07 fatcat:fctf5ndd2zh23lv6mmxpyj54iq

Are Neural Fields Suitable for Vector Quantization?

Lucian Alecu, Hervé Frezza-Buet
2008 2008 Seventh International Conference on Machine Learning and Applications  
This paper focuses on the possibility of enabling vector quantization learning techniques into dynamic neural fields, as an attempt to enrich their usage in bio-inspired applications.  ...  benchmark framework implementing this approach is used to check whether a given field is capable to behave as expected in various situations, in particular those involving self-organization by vector quantization  ...  The dynamics of such bi-dimensional structure, called a neural field, has been studied for more than thirty years [1, 13, 3] .  ... 
doi:10.1109/icmla.2008.21 dblp:conf/icmla/AlecuF08 fatcat:jte4idi5qnd6xaamtbgwiasneu

BigDL: A Distributed Deep Learning Framework for Big Data [article]

Jason Dai, Yiheng Wang, Xin Qiu, Ding Ding, Yao Zhang, Yanzhang Wang, Xianyan Jia, Cherry Zhang, Yan Wan, Zhichao Li, Jiao Wang, Shengsheng Huang, Zhongyuan Wu, Yang Wang (+6 others)
2018 arXiv   pre-print
In this paper, we present BigDL, a distributed deep learning framework for Big Data platforms and workflows.  ...  It provides an expressive, "data-analytics integrated" deep learning programming model, so that users can easily build the end-to-end analytics + AI pipelines under a unified programming paradigm; by implementing  ...  It combines the benefits of big data and HPC (high performance computing) architecture, so as to provide both an expressive, "data-analytics integrated" deep learning programming model for users to build  ... 
arXiv:1804.05839v3 fatcat:u5afdn37l5c7lalqxqmlj5se6e

Remote Sensing Big Data: Theory, Methods and Applications

Peng Liu, Liping Di, Qian Du, Lizhe Wang
2018 Remote Sensing  
Acknowledgments: This study is supported by the National Natural Science Foundation of China (No. 41571413 and No. 41471368).  ...  For remote sensing big data, they could be more concretely extended to characteristics of multi-source, multi-scale, high-dimensional, dynamic-state, isomer, and nonlinear characteristics.  ...  The included eight papers effectively explained the characteristics of multi-source, multi-scale, high-dimensional, dynamic-state, isomer, and nonlinear in remote sensing big data.  ... 
doi:10.3390/rs10050711 fatcat:kofaqu6exvfevmp3texcpwxihy

Spin-wave excitations in finite rectangular elements ofNi80Fe20

C. Bayer, J. Jorzick, B. Hillebrands, S. O. Demokritov, R. Kouba, R. Bozinoski, A. N. Slavin, K. Y. Guslienko, D. V. Berkov, N. L. Gorn, M. P. Kostylev
2005 Physical Review B  
It is shown that two-dimensional spinwave eigenmodes of these elements can be approximately described as products of one-dimensional spin-wave eigenmodes of longitudinally and transversely magnetized long  ...  The frequency spectra and spatial profiles of these eigenmodes are calculated both analytically and numerically, and are compared with the results of the Brillouin light scattering experiment.  ...  Our analytical approach is based on the approximate representation of the two-dimensional dynamic magnetization distributions as a product of two one-dimensional magnetization distributions corresponding  ... 
doi:10.1103/physrevb.72.064427 fatcat:q3iy66e7ure5dnccsbjwcpqw4i

Exact statistics of chaotic dynamical systems

Zachary Guralnik
2008 Chaos  
The associated dynamical systems are characterized by a probability distribution and a two-form.  ...  While our emphasis is on classical systems, we briefly speculate about possible applications to quantum field theory, in the context of generalizations of stochastic quantization.  ...  I would also like to thank the MIT center for theoretical physics for hospitality during completion of this work.  ... 
doi:10.1063/1.2960541 pmid:19045452 fatcat:ew4hdvizn5eivav6truxsh3rga

Thermally induced instability of a doubly quantized vortex in a Bose–Einstein condensate

Krzysztof Gawryluk, Mirosław Brewczyk, Kazimierz Rażewski
2006 Journal of Physics B: Atomic, Molecular and Optical Physics  
We have performed numerical simulations using three-dimensional Gross-Pitaevskii equation with classical thermal noise.  ...  We observe that even ve ry small thermal fluctuations, corresponding to 10 to 15 decay of doubly quantized vortex into two singly quantized vortices in tens of milliseconds.  ...  Gajda for helpful discussions. We acknowledge support by the Polish Ministry of Scientific Research Grant Quantum Information and Quantum Engineering No. PBZ-MIN-008/P03/2003.  ... 
doi:10.1088/0953-4075/39/11/l01 fatcat:kaiakvkwv5cx3pphakszjkmkum

Deformation quantization as the origin of D-brane non-Abelian degrees of freedom

Vipul Periwal
2000 Journal of High Energy Physics  
Non-Abelian degrees of freedom arise in this framework from the deformation quantization of N-tuple cycles.  ...  The large N limit of the gauge theory on D-branes wrapped on a subvariety V of some variety X is geometrically interpreted as the deformation quantization of the formal completion of X along V.  ...  This work was supported in part by NSF grant PHY98-02484.  ... 
doi:10.1088/1126-6708/2000/08/021 fatcat:vvrowwmzcnhxbdf324gen5fb4a

Phase diagrams of self-organizing maps

H.-U. Bauer, M. Riesenhuber, T. Geisel
1996 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
In the domain of technical signal processing, the low-dimensional "feature map" variant of the SOM is utilized for neighborhood preserving vector quantization, motor control, ͓10,11͔ data visualization  ...  Even though the method is applicable to the low-dimensional as well as to the high-dimensional variant of the SOM, it achieves its full potential in the latter case, where an ansatz for the tesselation  ...  Contrary to the low-dimensional feature map, this tesselation is realizable for high-dimensional SOMs ͓for a numerical example, see Fig. 1͑e͔͒ .  ... 
doi:10.1103/physreve.54.2807 pmid:9965396 fatcat:wknhbunhsrhnvpozcea3nyola4

Extracting biometric binary strings with minimal area under the FRR curve for the hamming distance classifier

C. Chen, R. Veldhuis
2011 Signal Processing  
Given the bit error probability, AUF-OBA assigns the numbers of quantization bits to every feature, in such way that the analytical area under the false rejection rate (FRR) curve for a Hamming distance  ...  Quantizing real-valued templates into binary strings is a fundamental step in biometric compression and template protection.  ...  The reason is that at a high dimensionality after PCA/LDA transformation, the features of the low quality data become less reliable, and the error probabilities built on such features are not accurate.  ... 
doi:10.1016/j.sigpro.2010.09.008 fatcat:x6mayap6jfd45kja4f3tjrrifi

Physical realization of the Glauber quantum oscillator

Silvia Gentilini, Maria Chiara Braidotti, Giulia Marcucci, Eugenio DelRe, Claudio Conti
2015 Scientific Reports  
However, supporting experimental evidence of reversed quantized oscillators is lacking.  ...  As outlined by Glauber, providing experimental evidence of these idealized physical systems could open the way to a variety of fundamental studies, for example to simulate irreversible quantum dynamics  ...  Acknowledgements We acknowledge support from the project Sapienza Ricerca 2014, PhotoAnderson, the European Research Council (grant number 664782), the Templeton Foundation (grant number 58277) and the  ... 
doi:10.1038/srep15816 pmid:26522653 pmcid:PMC4629136 fatcat:765ayhumhjffdpeb7lrfgbteou
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