https://terms-en.ai-term-hub.com/zh/tags/matrices/Recent content in Matrices on 中文AI术语词典Hugozh-cnSat, 18 Jul 2026 11:44:45 +0000https://terms-en.ai-term-hub.com/zh/terms/matrix_regularization/Sat, 18 Jul 2026 11:25:36 +0000https://terms-en.ai-term-hub.com/zh/terms/matrix_regularization/<h2 id="definition">Definition</h2> <p>矩阵正则化将标量正则化的概念扩展到矩阵，常用于多任务学习或推荐系统。它对权重矩阵的范数施加约束，例如弗罗贝尼乌斯范数或核范数，以鼓励低秩近似或稀疏解，从而提高模型的泛化能力。</p> <h3 id="summary">Summary</h3> <p>一种将惩罚项应用于矩阵值参数的技术，以防止过拟合并强制执行稀疏性等结构属性。</p> <h2 id="key-concepts">Key Concepts</h2> <ul> <li>弗罗贝尼乌斯范数</li> <li>核范数</li> <li>防止过拟合</li> <li>低秩近似</li> </ul> <h2 id="use-cases">Use Cases</h2> <ul> <li>协同过滤</li> <li>多任务学习</li> <li>降维</li> </ul> <h2 id="related-terms">Related Terms</h2> <ul> <li><a href="https://terms-en.ai-term-hub.com/en/terms/ridge-regression-%E5%B2%AD%E5%9B%9E%E5%BD%92/">Ridge Regression (岭回归)</a></li> <li><a href="https://terms-en.ai-term-hub.com/en/terms/lasso-%E5%A5%97%E7%B4%A2%E5%9B%9E%E5%BD%92/">Lasso (套索回归)</a></li> <li><a href="https://terms-en.ai-term-hub.com/en/terms/nuclear-norm-minimization-%E6%A0%B8%E8%8C%83%E6%95%B0%E6%9C%80%E5%B0%8F%E5%8C%96/">Nuclear Norm Minimization (核范数最小化)</a></li> <li><a href="https://terms-en.ai-term-hub.com/en/terms/sparse-learning-%E7%A8%80%E7%96%8F%E5%AD%A6%E4%B9%A0/">Sparse Learning (稀疏学习)</a></li> </ul>