机器学习中常用的导数公式和迹公式
常用导数公式:
δωTxδω=x<script type="math/tex" id="MathJax-Element-716">\frac{\delta \omega^Tx}{\delta \omega} = x</script>
δxωδω=xT<script type="math/tex" id="MathJax-Element-717">\frac{\delta x\omega}{\delta \omega} = x^T</script>
δxTωδω=x<script type="math/tex" id="MathJax-Element-718">\frac{\delta x^T\omega}{\delta \omega} = x</script>
δωTxTδω=xT<script type="math/tex" id="MathJax-Element-719">\frac{\delta \omega^Tx^T}{\delta \omega} = x^T</script>
δωTAωδω=(A+AT)ω<script type="math/tex" id="MathJax-Element-720">\frac{\delta \omega^TA\omega}{\delta \omega} = (A+A^T)\omega</script>
常用迹公式
tr(a)=a<script type="math/tex" id="MathJax-Element-662">tr(a) = a</script>
tr(AB)=tr(BA)<script type="math/tex" id="MathJax-Element-663">tr(AB) = tr(BA)</script>
tr(ABC)=tr(CAB)=tr(BCA)<script type="math/tex" id="MathJax-Element-664">tr(ABC) = tr(CAB) = tr(BCA)</script>
δtr(AB)δA=BT<script type="math/tex" id="MathJax-Element-665">\frac{\delta tr(AB)}{\delta A} = B^T</script>
tr(A)=tr(AT)<script type="math/tex" id="MathJax-Element-666">tr(A) = tr(A^T)</script>
δtr(ABATC)δA=CAB+CTABT<script type="math/tex" id="MathJax-Element-667">\frac{\delta tr(ABA^TC)}{\delta A} = CAB + C^TAB^T</script>
DAMO开发者矩阵,由阿里巴巴达摩院和中国互联网协会联合发起,致力于探讨最前沿的技术趋势与应用成果,搭建高质量的交流与分享平台,推动技术创新与产业应用链接,围绕“人工智能与新型计算”构建开放共享的开发者生态。
更多推荐



所有评论(0)