Oracle Inequalities in Empirical Risk Minimization and Sparse Recovery Problems (Record no. 108133)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 02689nam a22004575i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-642-22147-7 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220083807.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 110727s2011 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783642221477 |
-- | 978-3-642-22147-7 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-3-642-22147-7 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA273.A1-274.9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA274-274.9 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBT |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBWL |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT029000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 519.2 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Koltchinskii, Vladimir. |
Relator term | author. |
245 10 - TITLE STATEMENT | |
Title | Oracle Inequalities in Empirical Risk Minimization and Sparse Recovery Problems |
Medium | [electronic resource] : |
Remainder of title | École d’Été de Probabilités de Saint-Flour XXXVIII-2008 / |
Statement of responsibility, etc | by Vladimir Koltchinskii. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg, |
-- | 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | IX, 254p. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
International Standard Serial Number | 0075-8434 ; |
Volume number/sequential designation | 2033 |
520 ## - SUMMARY, ETC. | |
Summary, etc | The purpose of these lecture notes is to provide an introduction to the general theory of empirical risk minimization with an emphasis on excess risk bounds and oracle inequalities in penalized problems. In recent years, there have been new developments in this area motivated by the study of new classes of methods in machine learning such as large margin classification methods (boosting, kernel machines). The main probabilistic tools involved in the analysis of these problems are concentration and deviation inequalities by Talagrand along with other methods of empirical processes theory (symmetrization inequalities, contraction inequality for Rademacher sums, entropy and generic chaining bounds). Sparse recovery based on l_1-type penalization and low rank matrix recovery based on the nuclear norm penalization are other active areas of research, where the main problems can be stated in the framework of penalized empirical risk minimization, and concentration inequalities and empirical processes tools have proved to be very useful. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Distribution (Probability theory). |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Probability Theory and Stochastic Processes. |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783642221460 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Lecture Notes in Mathematics, |
-- | 0075-8434 ; |
Volume number/sequential designation | 2033 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-22147-7 |
912 ## - | |
-- | ZDB-2-SMA |
912 ## - | |
-- | ZDB-2-LNM |
No items available.