Consistency Analysis of Spectral Regularization Algorithms
We investigate the consistency of spectral regularization algorithms. We generalize the usual definition of regularization function to enrich the content of spectral regularization algorithms. Under a more general prior condition, using refined error decompositions and techniques of operator norm es...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/436510 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850178364593143808 |
|---|---|
| author | Yukui Zhu Hongwei Sun |
| author_facet | Yukui Zhu Hongwei Sun |
| author_sort | Yukui Zhu |
| collection | DOAJ |
| description | We investigate the consistency of spectral regularization algorithms. We generalize the usual definition of regularization function to enrich the content of spectral regularization algorithms. Under a more general prior condition, using refined error decompositions and techniques of operator norm estimation, satisfactory error bounds and learning rates are proved. |
| format | Article |
| id | doaj-art-c484292acfd64c0e83dd324da1c99f1d |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c484292acfd64c0e83dd324da1c99f1d2025-08-20T02:18:46ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/436510436510Consistency Analysis of Spectral Regularization AlgorithmsYukui Zhu0Hongwei Sun1Shandong Provincial Key Laboratory of Network based Intelligent Computing, School of Mathematic Science, University of Jinan, Jinan 250022, ChinaShandong Provincial Key Laboratory of Network based Intelligent Computing, School of Mathematic Science, University of Jinan, Jinan 250022, ChinaWe investigate the consistency of spectral regularization algorithms. We generalize the usual definition of regularization function to enrich the content of spectral regularization algorithms. Under a more general prior condition, using refined error decompositions and techniques of operator norm estimation, satisfactory error bounds and learning rates are proved.http://dx.doi.org/10.1155/2012/436510 |
| spellingShingle | Yukui Zhu Hongwei Sun Consistency Analysis of Spectral Regularization Algorithms Abstract and Applied Analysis |
| title | Consistency Analysis of Spectral Regularization Algorithms |
| title_full | Consistency Analysis of Spectral Regularization Algorithms |
| title_fullStr | Consistency Analysis of Spectral Regularization Algorithms |
| title_full_unstemmed | Consistency Analysis of Spectral Regularization Algorithms |
| title_short | Consistency Analysis of Spectral Regularization Algorithms |
| title_sort | consistency analysis of spectral regularization algorithms |
| url | http://dx.doi.org/10.1155/2012/436510 |
| work_keys_str_mv | AT yukuizhu consistencyanalysisofspectralregularizationalgorithms AT hongweisun consistencyanalysisofspectralregularizationalgorithms |