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新研究提出使用非光滑正则化的 DNN-NSR 进行矩阵填充

一篇 arXiv 上的新研究论文介绍了一种使用全连接神经网络 (FCNN) 中的非光滑正则化进行矩阵填充的新方法。所提出的算法 DNN-NSR 通过在中间表示中加入 L1 范数正则化以及权重矩阵的核范数,解决了 FCNN 中常见的过拟合问题。这种方法会产生一个非光滑且非凸的目标函数,需要专门的近端梯度法进行优化。该论文证明,在模拟中,DNN-NSR 的表现优于现有的线性和非线性算法。 AI

影响 这项研究有助于开发更鲁棒、更具泛化能力的矩阵填充技术,有望提高依赖于重建不完整数据的应用的性能。

排序理由 该集群包含两篇来自 arXiv 的关于矩阵填充算法的学术论文。

在 arXiv cs.LG 阅读 →

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新研究提出使用非光滑正则化的 DNN-NSR 进行矩阵填充

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该集群包含两篇来自 arXiv 的关于矩阵填充算法的学术论文。
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报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Sajad Faramarzi, Farzan Haddadi, Sajjad Amini, Masoud Ahookhosh, Symeon Chatzinotas ·

    基于全连接神经网络的非光滑正则化矩阵填充

    arXiv:2403.10232v2 Announce Type: replace-cross Abstract: Conventional matrix completion methods approximate the missing values by assuming the matrix to be low-rank, which leads to a linear approximation of missing values. It has been shown that enhanced performance could be att…

  2. arXiv stat.ML TIER_1 English(EN) · Moritz Hardt ·

    理解矩阵补全的交替最小化

    arXiv:1312.0925v4 Announce Type: replace-cross Abstract: Alternating Minimization is a widely used and empirically successful heuristic for matrix completion and related low-rank optimization problems. Theoretical guarantees for Alternating Minimization have been hard to come by …