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001 | u376427 | ||
003 | SIRSI | ||
005 | 20160812084412.0 | ||
007 | cr nn 008mamaa | ||
008 | 110727s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642221477 _9978-3-642-22147-7 |
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040 | _cMX-MeUAM | ||
050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aKoltchinskii, Vladimir. _eauthor. |
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245 | 1 | 0 |
_aOracle Inequalities in Empirical Risk Minimization and Sparse Recovery Problems _h[recurso electrónico] : _bÉcole d’Été de Probabilités de Saint-Flour XXXVIII-2008 / _cby Vladimir Koltchinskii. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
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300 |
_aIX, 254p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2033 |
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520 | _aThe 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 | _aMathematics. | |
650 | 0 | _aDistribution (Probability theory). | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aProbability Theory and Stochastic Processes. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642221460 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2033 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-22147-7 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c204307 _d204307 |