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Sketches for size of join estimation

Florin Rusu, Alin Dobra
2008 ACM Transactions on Database Systems  
However, the theoretical bounds obscure fine details of the behavior of various sketches and they are mostly not indicative of which type of sketches should be used in practice.  ...  We also introduce a method to improve the update performance of fast range-summation AGMS sketches based on a simple equi-width partitioning of the domain.  ...  We used two synthetic data generators and one real-life data set in our experiments.  ... 
doi:10.1145/1386118.1386121 fatcat:jwpejxt73rea3kjbxh3wauhtqa

Page 1352 of The Journal of Chemical Physics Vol. 20, Issue 9 [page]

1952 The Journal of Chemical Physics  
No use is made of the specific lattice structure so that crystals of noncubic type are included in the analysis.  ...  The eigenvalues 2(p) of G;; will then be dyadics, i.e., three by three matrices whose diagonalization, when needed, can be performed by elementary methods.  ... 

Unitary systems and wavelet sets [article]

David R. Larson
2006 arXiv   pre-print
We give a detailed description of the local commutant approach to wavelet theory using operator algebraic methods.  ...  In the last section, we give a discussion of several open problems on wavelets and frame-wavelets.  ...  The term dyadic refers to the dilation factor "2". The term mother wavelet is also used in the literature for ψ.  ... 
arXiv:math/0604619v1 fatcat:xna5vsugsvhzhpaadxkm66f7bm

Page 1132 of Mathematical Reviews Vol. 58, Issue 2 [page]

1979 Mathematical Reviews  
The author proves that elementary 7\-spaces are infinite-dimensional and that some subspaces of hyperspaces of subsets of elementary 7,-spaces are dyadic. The proofs are ele- mentary.  ...  An application of order partition spaces. Math. Japon. 22 (1977/78), no. 4, 427-430. Let C.(X) denote the space of continuous real-valued functions on X with the topology of compact.convergence.  ... 

Distributed-elementary-source self-regularized dyadic Green's functions for modeling the massloading effect in acoustic devices

Hardik Vagh, Alireza Baghai Wadji
2012 Engineering analysis with boundary elements  
The technique establishes and utilizes the concept of Distributed-Elementary-Source Self-regularized Dyadic Green's functions in order to analyze fully-anisotropic elastic media used in micro-acoustic  ...  The underlying ideas have been explained in terms of four test examples in two-and three-dimensions.  ...  This scheme allows the real-time analysis of an entire section of a device, whenever it is necessary in future.  ... 
doi:10.1016/j.enganabound.2011.10.005 fatcat:b4q65rgouva2pijpfbb2ft7hme

Data-Independent Space Partitionings for Summaries

Graham Cormode, Minos Garofalakis, Michael Shekelyan
2021 Proceedings of the 40th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems  
If a published version is known of, the repository item page linked to above, will contain details on accessing it.  ...  How to cite: Please refer to published version for the most recent bibliographic citation information.  ...  Range trees over space partitions [33, 41] can also be thought of in this way, as each node of the tree will correspond to a dyadic box.  ... 
doi:10.1145/3452021.3458316 fatcat:mfvqs6rzybhmtaczvnr6khvdt4

Adapted Bases of Time-Frequency Local Cosines

Lars F Villemoes
2001 Applied and Computational Harmonic Analysis  
All waveforms are obtained from three elementary window functions by shifts, rescaling, and modulation. For a discrete signal of length N, the complexity is of order N(log N) 2 .  ...  We develop and analyze a best basis algorithm for orthonormal bases of local cosines which satisfy a uniform bound on their time-frequency concentration.  ...  ACKNOWLEDGMENT The author thanks Naoki Saito for fruitful discussions that led to the discovery of the presented method in September 1998.  ... 
doi:10.1006/acha.2000.0335 fatcat:yesbjlumpbamxgque5d56x2zj4

General discrepancy estimates II: the Haar function system

Peter Hellekalek
1994 Acta Arithmetica  
The method is interesting in itself. It is open to generalizations. Dyadic expansions and Haar functions. The Haar system is best presented in the terminology of dyadic expansions of real numbers.  ...  The Haar functions constitute an important and widely used orthonormal function system in harmonic analysis. For the theory, the reader is referred to the monograph of Schipp et al . [9] .  ... 
doi:10.4064/aa-67-4-313-322 fatcat:w6lagkgvojcabf3uhvi3dc5sei

Spectral integration of Marcinkiewicz multipliers

Nakhlé Asmar, Earl Berkson, T. A. Gillespie
1993 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
This result expands the framework of the Strong Marcinkiewicz Multiplier Theorem to the setting of abstract measure spaces. Received by the editors May 24, 1991 .  ...  the unit circle satisfying the hypotheses of the Strong Marcinkiewicz Multiplier Theorem.  ...  The following weakening of the notion of spectral measure has been useful in this regard (see, e.g.  ... 
doi:10.4153/cjm-1993-024-7 fatcat:ynu7ocsk3vh55kjib6nppy72fq

Gaze Response to Dyadic Bids at 2 Years Related to Outcomes at 3 Years in Autism Spectrum Disorders: A Subtyping Analysis

Daniel J. Campbell, Frederick Shic, Suzanne Macari, Katarzyna Chawarska
2013 Journal of Autism and Developmental Disorders  
Analysis of visual responses to dyadic cues may provide a clinically meaningful approach to identifying early predictors of outcome.  ...  The cluster displaying limited attention to social scenes in general exhibited poor outcome at 3 years; the cluster displaying good attention to the scene and to the speaker's mouth were verbal and high  ...  Marika Coffman, Alexandra Dowd, Eugenia Gisin, and Jessica Reed for assistance in data collection.  ... 
doi:10.1007/s10803-013-1885-9 pmid:23877749 pmcid:PMC3900601 fatcat:uvxkbnopqbh4jbaww6ptoznexy

UNITARY SYSTEMS, WAVELET SETS, AND OPERATOR-THEORETIC INTERPOLATION OF WAVELETS AND FRAMES [chapter]

David R. Larson
2007 Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore  
The use of the local commutant is along the same lines as in the wavelet theory.  ...  We will describe the operator-interpolation approach to wavelet theory using the local commutant of a system.  ...  The term dyadic refers to the dilation factor "2". The term mother wavelet is also used in the literature for ψ.  ... 
doi:10.1142/9789812709080_0005 fatcat:coth2hzcvzctdowg2ezr2gutr4

The Khinchin inequality and Chen's theorem

M. M. Skriganov
2012 St. Petersburg Mathematical Journal  
In a forthcoming paper, the author will continue the study of the phenomena of lacunarity and statistical independence in the context of the theory of uniformly distributed point sets. 2010 Mathematics  ...  Chen's theorem on the mean values of L q -discrepancies is one of the basic results in the theory of uniformly distributed point sets.  ...  For each K, we partition the unit cube to the following elementary boxes: (3.46) U d = M ∈N d 0 (2 K * ) Δ M K * .  ... 
doi:10.1090/s1061-0022-2012-01216-1 fatcat:dcnsrzsb3zdyrmi55ilka74pw4

Adaptive Estimation of Multivariate Piecewise Polynomials and Bounded Variation Functions by Optimal Decision Trees [article]

Sabyasachi Chatterjee, Subhajit Goswami
2021 arXiv   pre-print
aligned rectangular partition of the domain with at most k rectangles.  ...  In this article we define and study Dyadic CART and a closely related estimator, namely Optimal Regression Tree (ORT), in the context of estimating piecewise smooth functions in general dimensions in the  ...  In the d = 1 case, an elementary argument can be used to show that there exists a recursive dyadic partition refining a given arbitrary partition with number of intervals being multi-plied by a log factor  ... 
arXiv:1911.11562v3 fatcat:abbzorce75bbxfl5vem76abzpi

Unitary systems, wavelet sets, and operator-theoretic interpolation of wavelets and frames [article]

David R. Larson
2006 arXiv   pre-print
The use of the local commutant is along the same lines as in the wavelet theory.  ...  We will describe the operator-interpolation approach to wavelet theory using the local commutant of a system.  ...  The term dyadic refers to the dilation factor "2". The term mother wavelet is also used in the literature for ψ.  ... 
arXiv:math/0604615v1 fatcat:nh3jd3ef2raflcaw5arballrju

Comparison of Hardy–Littlewood and dyadic maximal functions on spaces of homogeneous type

Hugo Aimar, Ana Bernardis, Bibiana Iaffei
2005 Journal of Mathematical Analysis and Applications  
We obtain a comparison of the level sets for two maximal functions on a space of homogeneous type: the Hardy-Littlewood maximal function of mean values over balls and the dyadic maximal function of mean  ...  As applications to the theory of A p weights on this setting, we compare the standard and the dyadic Muckenhoupt classes and we give an alternative proof of reverse Hölder type inequalities.  2005 Elsevier  ...  Even when the reverse Hölder inequality in the dyadic setting can be obtained from the general results for martingales see [8] , we give, for the sake of completeness, an elementary proof in the spirit  ... 
doi:10.1016/j.jmaa.2005.03.034 fatcat:didmejkiuzb6pibb2xjaaxf76i
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