| Presentation | 2001/10/12 On the Computational Power of a Family of Decision Forests Kazuyuki Amano, Tsukuru Hirosawa, Yusuke Watanabe, Akira Maruoka, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we consider the help bit problem in the decision tree model proposed by Nisan, Rudich and Saks (FOCS'94). When computing k instances of a Boolean function ƒ, Beigel and Hirst (STOC'98) showed that ⌊log_2k⌋+1 help bits are necessary to reduce the complexity of ƒ, for any function ƒ, and exhibit the functions for which ⌊log_2k⌋+1 help bits reduce the complexity. Their functions must satisfy the condition that their complexity is greater than or equal to k-1. In this paper, we show new functions satisfying the above conditions whose complexity are only 2√ |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | decision tree / Boolean function / help bit / cover problem / approximation / threshold circuit |
| Paper # | COMP 2001-51 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2001/10/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the Computational Power of a Family of Decision Forests |
| Sub Title (in English) | |
| Keyword(1) | decision tree |
| Keyword(2) | Boolean function |
| Keyword(3) | help bit |
| Keyword(4) | cover problem |
| Keyword(5) | approximation |
| Keyword(6) | threshold circuit |
| 1st Author's Name | Kazuyuki Amano |
| 1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Tsukuru Hirosawa |
| 2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Yusuke Watanabe |
| 3rd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| 4th Author's Name | Akira Maruoka |
| 4th Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| Date | 2001/10/12 |
| Paper # | COMP 2001-51 |
| Volume (vol) | vol.101 |
| Number (no) | 376 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |