COMPRESSIVE GAUSSIAN MIXTURE ESTIMATION

被引:0
|
作者
Bourrier, Anthony [1 ,2 ]
Gribonval, Remi [2 ]
Perez, Patrick [1 ]
机构
[1] Technicolor, 975 Ave Champs Blancs,CS 17616, F-35576 Cesson Sevigne, France
[2] INRIA Rennes Bretagne Atlantique, F-35042 Rennes, France
来源
2013 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) | 2013年
关键词
Gaussian mixture estimation; compressive sensing; database sketch; compressive learning;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
When fitting a probability model to voluminous data, memory and computational time can become prohibitive. In this paper, we propose a framework aimed at fitting a mixture of isotropic Gaussians to data vectors by computing a low-dimensional sketch of the data. The sketch represents empirical moments of the underlying probability distribution. Deriving a reconstruction algorithm by analogy with compressive sensing, we experimentally show that it is possible to precisely estimate the mixture parameters provided that the sketch is large enough. Our algorithm provides good reconstruction and scales to higher dimensions than previous probability mixture estimation algorithms, while consuming less memory in the case of numerous data. It also provides a privacy-preserving data analysis tool, since the sketch doesn't disclose information about individual datum it is based on.
引用
收藏
页码:6024 / 6028
页数:5
相关论文
共 50 条
  • [21] Gaussian Mixture Error Estimation for Approximate Circuits
    Ghasemazar, Amin
    Lis, Mieszko
    PROCEEDINGS OF THE 2017 DESIGN, AUTOMATION & TEST IN EUROPE CONFERENCE & EXHIBITION (DATE), 2017, : 302 - 305
  • [22] Gaussian Mixture Estimation from Weighted Samples
    Frisch, Daniel
    Hanebeck, Uwe D.
    2021 IEEE INTERNATIONAL CONFERENCE ON MULTISENSOR FUSION AND INTEGRATION FOR INTELLIGENT SYSTEMS (MFI), 2021,
  • [23] Bayesian estimation of the Gaussian mixture GARCH model
    Concepcion Ausin, Maria
    Galeano, Pedro
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2007, 51 (05) : 2636 - 2652
  • [25] ADAPTED STATISTICAL COMPRESSIVE SENSING: LEARNING TO SENSE GAUSSIAN MIXTURE MODELS
    Duarte-Carvajalino, Julio M.
    Yu, Guoshen
    Carin, Lawrence
    Sapiro, Guillermo
    2012 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2012, : 3653 - 3656
  • [26] Temporal Compressive Video Reconstruction Using Gaussian Scale Mixture Model
    He, Xiao-hai
    Wang, Mao-jiao
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTER NETWORKS AND COMMUNICATION TECHNOLOGY (CNCT 2016), 2016, 54 : 722 - 727
  • [27] Modal Trajectory Estimation Using Maximum Gaussian Mixture
    Monin, Andre
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (03) : 763 - 768
  • [28] Estimation of critical points in the mixture inverse Gaussian model
    Ramesh C. Gupta
    Olcay Akman
    Statistical Papers, 1997, 38 : 445 - 452
  • [29] Multiresolution Gaussian mixture models for visual motion estimation
    Wilson, R
    Calway, A
    2001 INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOL II, PROCEEDINGS, 2001, : 921 - 924
  • [30] Fast estimation of Gaussian mixture models for image segmentation
    Nicola Greggio
    Alexandre Bernardino
    Cecilia Laschi
    Paolo Dario
    José Santos-Victor
    Machine Vision and Applications, 2012, 23 : 773 - 789