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Supporting Dynamic Quantization for High-Dimensional Data Analytics
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]
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
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]
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
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?
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]
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
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
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
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
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
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
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
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
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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