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    অসমীয়া বাংলা भोजपुरी डोगरी English ગુજરાતી हिंदी ಕನ್ನಡ
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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 28
  3. Acta Mathematica Sinica, English Series : Volume 28, Issue 1, January 2012
  4. ERM learning with unbounded sampling
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 28, Issue 12, December 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 11, November 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 10, October 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 9, September 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 8, August 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 7, July 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 6, June 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 5, May 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 4, April 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 3, March 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 2, February 2012
Acta Mathematica Sinica, English Series : Volume 28, Issue 1, January 2012
Asymmetric and moving-frame approaches to MHD equations
Well-posedness of equations with fractional derivative via the method of sum
Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces
The hyperspace of the regions below continuous maps with the fell topology
On optimal proportional reinsurance and investment in a Markovian regime-switching economy
A complete diophantine characterization of the rational torsion of an elliptic curve
ERM learning with unbounded sampling
A new class of multi-wavelet bases: V-system
Note on a theorem of Bangert
L p bounds for singular integrals with rough kernels on product domains
The asymptotic behavior of Chern-Simons Higgs model on a compact Riemann surface with boundary
On second order degree of graphs
On regular linear relations
On the set of grouplikes of a coring
Proper biharmonic submanifolds in a sphere
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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ERM learning with unbounded sampling

Content Provider Springer Nature Link
Author Wang, Cheng Guo, Zheng Chu
Copyright Year 2012
Abstract The learning approach of empirical risk minimization (ERM) is taken for the regression problem in the least square framework. A standard assumption for the error analysis in the literature is the uniform boundedness of the output sampling process. In this paper we abandon this boundedness assumption and conduct error analysis for the ERM learning algorithm with unbounded sampling processes satisfying an increment condition for the moments of the output. The key novelty of our analysis is a covering number argument for estimating the sample error.
Ending Page 104
Page Count 8
Starting Page 97
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 1
Volume Number 28
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2011-12-13
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword ERM covering number least square regression Computational learning theory Mathematics Learning theory Rate of convergence, degree of approximation
Content Type Text
Resource Type Article
Subject Applied Mathematics
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