| Item type |
紀要論文 / Departmental Bulletin Paper(1) |
| 公開日 |
2007-07-02 |
| タイトル |
|
|
タイトル |
On the Statistical Properties of Function Representation with Discrete Variable Basis under Squared Error Loss |
|
言語 |
en |
| 言語 |
|
|
言語 |
eng |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
discrete variable basis type function representation |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
regression model |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
squared error |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
empirical loss |
| キーワード |
|
|
主題Scheme |
Other |
|
主題 |
expected loss |
| 資源タイプ |
|
|
資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
|
資源タイプ |
departmental bulletin paper |
| 著者 |
萩原, 克幸
戸田, 尚宏
臼井, 支朗
|
| 抄録 |
|
|
内容記述タイプ |
Abstract |
|
内容記述 |
One of the most important property of 3-layered neural networks is the selectability of the basis functions. In this paper, to focus on the selectability in the context of the regression model, we restricted our attention to function representations in which the basis functions are modified according to the associated discrete parameters. For such function representations, we derived lower and upper bounds for the expectations of the empirical loss and the expected loss with respect to the distribution of the set of samples by taking the squared error as a loss function, provided that the given set samples is a Gaussian noise sequence and the basis functions satisfy the orthonormality condition. Based on these results, we showed that the statistical properties of the function representations with adaptive basis functions is defferent from conventional function representations with fixed basis functions. |
| 書誌情報 |
Research reports of the Faculty of Engineering, Mie University
巻 20,
p. 63-81,
発行日 1995-12-21
|
| ISSN |
|
|
収録物識別子タイプ |
PISSN |
|
収録物識別子 |
0385-6208 |
| 書誌レコードID |
|
|
収録物識別子タイプ |
NCID |
|
収録物識別子 |
AA00816341 |
| フォーマット |
|
|
内容記述タイプ |
Other |
|
内容記述 |
application/pdf |
| 著者版フラグ |
|
|
出版タイプ |
VoR |
|
出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| その他のタイトル |
|
|
言語 |
ja |
|
値 |
離散的に基底を可変とする関数表現の二乗誤差規範の下での統計的性質について |
| 出版者 |
|
|
出版者 |
Faculty of Engineering, Mie University |
| 資源タイプ（三重大） |
|
|
値 |
Departmental Bulletin Paper / 紀要論文 |
AA008163410200008.PDF (1.2 MB)
