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Extended wavelets for multiple measures

Antonios Deligiannakis, Minos Garofalakis, Nick Roussopoulos
2007 ACM Transactions on Database Systems  
placed on using wavelets in approximating datasets containing multiple measures.  ...  To alleviate this problem, we introduce in this work the notion of an extended wavelet coefficient as a flexible storage method for the wavelet coefficients, and propose novel algorithms for selecting  ...  Each extended wavelet coefficient stores multiple coefficient values for different -but not necessarily for all-measures.  ... 
doi:10.1145/1242524.1242527 fatcat:uvtyz4xcfjag5gqlmz7b2upoqe

Extended wavelets for multiple measures

Antonios Deligiannakis, Nick Roussopoulos
2003 Proceedings of the 2003 ACM SIGMOD international conference on on Management of data - SIGMOD '03  
placed on using wavelets in approximating datasets containing multiple measures.  ...  To alleviate this problem, we introduce in this work the notion of an extended wavelet coefficient as a flexible storage method for the wavelet coefficients, and propose novel algorithms for selecting  ...  Each extended wavelet coefficient stores multiple coefficient values for different -but not necessarily for all-measures.  ... 
doi:10.1145/872757.872786 dblp:conf/sigmod/DeligiannakisR03 fatcat:qvyai2tfxjhsloyi6xw2yk32o4

Extended wavelets for multiple measures

Antonios Deligiannakis, Nick Roussopoulos
2003 Proceedings of the 2003 ACM SIGMOD international conference on on Management of data - SIGMOD '03  
placed on using wavelets in approximating datasets containing multiple measures.  ...  To alleviate this problem, we introduce in this work the notion of an extended wavelet coefficient as a flexible storage method for the wavelet coefficients, and propose novel algorithms for selecting  ...  Each extended wavelet coefficient stores multiple coefficient values for different -but not necessarily for all-measures.  ... 
doi:10.1145/872785.872786 fatcat:c25bbzrkg5hhpfqrxpatwprb2y

Wavelet Fisher's Information Measure of 1=f α Signals

Julio Ramírez-Pacheco, Deni Torres-Román, Luis Rizo-Dominguez, Joel Trejo-Sanchez, Francisco Manzano-Pinzón
2011 Entropy  
This article defines the concept of wavelet-based Fisher's information measure (wavelet FIM) and develops a closed-form expression of this measure for 1/f α signals.  ...  Wavelet Fisher's information measure characterizes the complexities associated to 1/f α signals and provides a powerful tool for their analysis.  ...  Acknowledgements The present article was jointly funded by the National Council of Science and Technology (CONACYT) under grant 47609, FOMIX-COQCYT grant No 126031 and University of Caribe internal funds for  ... 
doi:10.3390/e13091648 fatcat:fprsnhuam5ed3bangh3yofiwt4

Applications of the Wavelet Multiplicity Function [article]

Eric Weber
1999 arXiv   pre-print
This paper examines the wavelet multiplicity function. An explicit formula for the multiplicity function is derived. An application to operator interpolation is then presented.  ...  We conclude with several remarks regarding the wavelet connectivity problem.  ...  In [3] , it is shown that the probability measure µ for any wavelet is absolutely continuous with respect to Lebesgue measure, which we shall denote by λ, hence the multiplicity function completely determines  ... 
arXiv:math/9909132v1 fatcat:ajooolory5fp7bn6hmhqjs7tri

Page 6106 of Mathematical Reviews Vol. , Issue 93k [page]

1993 Mathematical Reviews  
As is well known, on the second dual A** of any Banach algebra A there exist two Banach algebra multiplications extending that of A.  ...  That is, o(F) = 0 => o(g-F) =0 for all Borel subsets F of X and all g € G. Given a regular Borel measure y on X, write HL =UatuUs for the Lebesgue decomposition of “ with respect to o. H.  ... 

XWAVEOptimal and approximate Extended Wavelets for Streaming Data [chapter]

S GUHA, C KIM, K SHIM
2004 Proceedings 2004 VLDB Conference  
Recently, extended wavelets were proposed by Deligiannakis and Roussopoulos for data sets containing multiple measures.  ...  Extended wavelets optimize the storage utilization by attempting to store the same wavelet coefficient across different measures.  ...  Acknowledgments The authors wish to thank the referees for many useful comments which have helped in improving the presentation of the manuscript.  ... 
doi:10.1016/b978-012088469-8/50028-0 fatcat:yloe7a5mdjh4fghyscdnathiqa

Multiscale analysis of the gradient of linear polarization

J.-F. Robitaille, A. M. M. Scaife
2015 Monthly notices of the Royal Astronomical Society  
The spatial distribution of the outliers in the tails of these distributions creates a coherent subset of filaments correlated across multiple scales, which trace the sharpest changes in the polarisation  ...  In addition, the wavelet coefficient distributions show higher skewness on smaller scales than at larger scales.  ...  CONCLUSION We extend the calculation of |∇P | to multiple scales using a wavelet analysis formalism.  ... 
doi:10.1093/mnras/stv920 fatcat:7z3nxkqjefasvlbstgrtzcedme

Orthonormal wavelets and shift invariant generalized multiresolution analyses

Sharon Schaffer Vestal, Eric Weber
2003 Proceedings of the American Mathematical Society  
In this paper we show that wavelets of all levels of shift invariance exist, first for the classic case of dilation by 2, and then for arbitrary integral dilation factors.  ...  All wavelets can be associated to a multiresolution-like structure, i.e. an increasing sequence of subspaces of L 2 (R).  ...  Note that this is the multiplicity function for the Journé wavelet.  ... 
doi:10.1090/s0002-9939-03-06928-4 fatcat:ydqnxma7urg7znbpi4wku4bv6i

Inversion of electromagnetic induction data using a novel wavelet-based and scale-dependent regularization term

Wouter Deleersnyder, Benjamin Maveau, Thomas Hermans, David Dudal
2021 Geophysical Journal International  
This sparsity constrained inversion scheme will minimize an objective function with a least-squares data misfit and a sparsity measure of the model in the wavelet domain.  ...  Depending on the expected conductivity profile, a suitable wavelet basis function can be chosen. The scheme supports multiple types of regularization with the same algorithm and is thus flexible.  ...  Furthermore, the adaptive nature of the inversion method (due to the choice of wavelet) allows for high flexibility because the shape of the wavelet can be exploited to generate multiple representations  ... 
doi:10.1093/gji/ggab182 fatcat:cfk6d2m2drgorae4su257sih6a

Page 2352 of Mathematical Reviews Vol. , Issue 97D [page]

1997 Mathematical Reviews  
For the analysis of images, which he wanted to extend to more than | dimension, R.  ...  A multiplicative system on the interval [0,1] is a system {y,} of functions constituting a multiplicative group and satisfying i Wn(x)dx =0 for n #0 and wo(x) =1.  ... 

Demonstrating edge data across multiple resolution levels

Michael Weeks, Evelyn Brannock
2009 IEEE Southeastcon 2009  
-Currently, uses manual measurement • Examine multiple octaves of an image, decomposed then reconstructed using the discrete wavelet transform (DWT) • Show that this technique picks out edges from the  ...  Introduction • Neuroscientists study how filopodia (hair-like structures) that extend from the a neurite grow over time.  ... 
doi:10.1109/secon.2009.5174045 fatcat:dsv22tjopvbxxkyq3uelgf5mke

Pattern Recognition in High Multiplicity Events

N. M. Astafyeva, I. M. Dremin, K. A. Kotelnikov
1997 Modern Physics Letters A  
This paper presents the first attempt to use wavelet technique for pattern recognition in nucleus-nucleus collisions.  ...  With advent of new accelerator facilities (especially, for nucleus-nucleus collisions), the problem of pattern recognition in high multiplicity events becomes very actual in order to classify such events  ...  ACKNOWLEDGEMENTS We are grateful to all members of EMU-15 Collaboration for the permission to use their data for the analysis and, especially, to A.G. Martynov for his invaluable help with Figures.  ... 
doi:10.1142/s0217732397001217 fatcat:ovttxieggvhmdnizbh4jetkgca

Riesz Wavelets, Tiling and Spectral Sets in LCA Groups [article]

Azita Mayeli
2017 arXiv   pre-print
Here, we extend the result to wavelet and Riesz wavelet collection of sets in infinite locally compact abelian groups.  ...  The catalyst for our research is a result by Wang ([32], Theorem 1.1) in the Euclidean wavelet theory.  ...  The focus of this paper is to extend the results of Theorems A and B for infinite locally compact topological abelian (LCA) groups (G, +) with identity e and equipped with a Haar measure.  ... 
arXiv:1703.06771v1 fatcat:fp37rpitbvh5vgbp4hcznaqkjy

On the Continuous Steering of the Scale of Tight Wavelet Frames

Zsuzsanna Püspöki, John Paul Ward, Daniel Sage, Michael Unser
2016 SIAM Journal of Imaging Sciences  
The fundamental aspects of the construction are the same: an admissible collection of Fourier multipliers is used to extend a tight wavelet frame, and the "scale" of the wavelets is adapted by scaling  ...  Importantly, the localized frequency bands specified by this construction can be scaled efficiently using matrix multiplication.  ...  we can use matrix multiplications to find the coefficients of the wavelet system derived from {M n (a ·)} for a = a .  ... 
doi:10.1137/15m1033885 fatcat:zcniil7qpzbovc2wqp5h5is4pi
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