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風(fēng)吹鴨蛋殼銀蟲 (初入文壇)
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[求助]
求潤(rùn)色一段英文摘要，謝謝
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摘要：基于交替非負(fù)最小二乘算法的框架，本文提出一種非負(fù)矩陣分解的非單調(diào)自適應(yīng)BB（Barzilai-Borwein）步長(zhǎng)算法. 雖然該算法的步長(zhǎng)不是由線搜索取得的，但是滿足非單調(diào)線搜索，從而保證了算法的全局收斂性. 同時(shí)該算法使用自適應(yīng)BB步長(zhǎng)和梯度的Lipschitz常數(shù)來提高算法的收斂速度. 最后在理論上證明了該算法是收斂的，同時(shí)數(shù)值試驗(yàn)和人臉識(shí)別的試驗(yàn)結(jié)果表明該算法是有效的且優(yōu)于其他算法. Abstract: A new algorithm named nonmonotone adaptive Barzilai-Borwein stepsize (MABB) algorithm was proposed for solving the nonnegative matrix factorization. It is based on the alternating nonnegative least squares (ANLS) framework and the stepsize which is not achieved by line search but satisfies the nonmonotone line search, thus ensuring the global convergence of the algorithm. Furthermore, adaptive BB stepsize and the gradient of the Lipschitz constant are used to accelerate convergence. Finally, the algorithm is theoretically proved convergence. At the same time, the test results of numerical experiments and face recognition show that the proposed algorithm has advantages over the existing algorithms in terms of efficiency. |
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至尊木蟲 (知名作家)
Translator and Proofreader
- 翻譯EPI: 1690
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- 金幣: 31580.9
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- 蟲號(hào): 3328089
- 注冊(cè): 2014-07-17
- 專業(yè): 腫瘤發(fā)生
【答案】應(yīng)助回帖
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寫的不錯(cuò)，只要將時(shí)態(tài)統(tǒng)一了就可以了： Abstract: A new algorithm named nonmonotone adaptive Barzilai-Borwein stepsize (MABB) algorithm was proposed for solving the nonnegative matrix factorization. It WAS based on the alternating nonnegative least squares (ANLS) framework and the stepsize which WAS not achieved by line search but satisfieD the nonmonotone line search, thus ensuring the global convergence of the algorithm. Furthermore, adaptive BB stepsize and the gradient of the Lipschitz constant WERE used to accelerate convergence. Finally, the algorithm WAS theoretically proved convergenT. At the same time, the test results of numerical experiments and face recognition showED that the proposed algorithm haD advantages over the existing algorithms in terms of efficiency. |
2樓2015-08-13 03:38:31
didoo10
新蟲 (初入文壇)
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- 蟲號(hào): 4020051
- 注冊(cè): 2015-08-13
- 專業(yè): 外國(guó)語言
【答案】應(yīng)助回帖
| Based on the alternating non-negative least squares (ANLS) framework, the paper has proposed a new algorithm named non-monotone adaptive Barzilai-Borwein step-size (MABB) algorithm. The step-size of the algorithm is not calculated through line search but it satisfies the non-monotone line search, ensuring the global convergence of the algorithm. Furthermore, the adaptive BB step-size and the gradient of the Lipschitz constant are also used in the algorithm to accelerate convergence. Finally, the algorithm is theoretically proved convergent and the test results of numerical experiments and face recognition show that the proposed algorithm is effective and outruns other existing algorithms. |
3樓2015-08-13 14:45:18
武漢一心一譯 
捐助貴賓 (著名寫手)
- 翻譯EPI: 502
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- 蟲號(hào): 3587652
- 注冊(cè): 2014-12-10
- 性別: GG
- 專業(yè): 高分子合成化學(xué)
【答案】應(yīng)助回帖
商家已經(jīng)主動(dòng)聲明此回帖可能含有宣傳內(nèi)容|
摘要：基于 交替 非負(fù)最小二乘算法 的框架，本文 提出 一種 非負(fù)矩陣分解的 非單調(diào)自適應(yīng)BB（Barzilai-Borwein） 步長(zhǎng)算法. 雖然 該算法的 步長(zhǎng) 不是 由 線搜索 取得的，但是 滿足 非單調(diào)線搜索，從而 保證了 算法的 全局收斂性. 同時(shí) 該算法 使用 自適應(yīng) BB步長(zhǎng) 和 梯度的Lipschitz常數(shù) 來 提高 算法的 收斂速度. 最后在 理論上 證明了 該算法 是收斂的，同時(shí) 數(shù)值試驗(yàn) 和 人臉識(shí)別 的 試驗(yàn)結(jié)果 表明 該算法 是有 效的 且 優(yōu)于 其他算法. Abstract: Based on alternating nonnegative least squares (ANLS) framework, in this paper, we proposed the nonmonotone adaptive BB（Barzilai-Borwein）step-length algorithm to solve nonnegative matrix factorization. Although the step-length of this algorithm was not obtained by line search, it still meet the characteristics of nonmonotone line search, so that the global convergence of the algorithm can be guaranteed. In addition, this algorithm increases the convergence rate by adopting self-adaptive BB step-length and gradient Lipschitz constant. At last, the convergence characteristics of the algorithm was theoretically proved, moreover the experiment results of related numerical experiment and face identification reveals the efficacy of the algorithm as well as its superiority over other algorithms. |
4樓2015-08-13 21:47:59
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