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Linear Classifier and Hing Loss (or Multiclass SVM Loss) Linear Mapping (Score function) Linear Classifier Hinge Loss Regularization Softmax Classifier and Softmax Loss Softmax Loss Cross-Entropy…
目录 概 主要内容 一些假设 损失函数 损失函数的统计性质 收敛速度 分类的界 Rosasco L, De Vito E, Caponnetto A, et al. Are loss functions all the same[J]. Neural Computation, 2004, 16(5): 1063-1076. @article{rosasco2004are, title={Are loss functions all the same}, author={Rosasco, Lore…
Loss Functions 总结 损失函数分类: 回归损失函数(Regression loss), 分类损失函数(Classification loss) Regression loss functions 通常用于模型预测一个连续的值,例如一个人的年龄 Classification loss functions 通常用于模型预测一个离散的值,例如猫狗分类问题 1. L1 loss Mean Absolute Error(MAE), 也称作L1 loss computes the averag…
1. Loss function是用来量化评估当前预测的好坏,loss function越小表明预测越好. 几种典型的loss function: 1)Multiclass SVM loss:一般的SVM是针对0.1两类标签,现在是把它拓展到n类标签.它的物理意义是:现在要预测一个样本的标签,根据之前训练出的权重求出这个样本在所有标签的得分,正确的标签的得分如果大于其他标签的得分(往往还会加一个safety margin,就是要求要足够大),则loss function不增加:否则loss fu…
这一讲总体上就是引入Loss Function的概念,以及让大家对优化有一个初步的认识,和其他课程里面说的内容大同小异. Loss function Multiclass svm loss multiclass svm的分类依据是,比较每个类别计算得到分数,取最大的那个作为当前的类标.该Loss鼓励的是正确的类标对应的分数应该比所有其他类标对应的分数都大至少1,否则就引入cost.具体定义如下: 这个和svm的思想是一样的,就是说不光要分对,而且要求判断对与错的分割线之间要有一定的距离,即svm…
1. Loss function是用来量化评估当前预测的好坏,loss function越小表明预测越好. 几种典型的loss function: 1)Multiclass SVM loss:一般的SVM是针对0.1两类标签,现在是把它拓展到n类标签.它的物理意义是:现在要预测一个样本的标签,根据之前训练出的权重求出这个样本在所有标签的得分,正确的标签的得分如果大于其他标签的得分(往往还会加一个safety margin,就是要求要足够大),则loss function不增加:否则loss fu…
penalty term 和 loss function 看起来很相似,但其实二者完全不同. 惩罚因子: penalty term的作用是把受限优化问题转化为非受限优化问题. 比如我们要优化: min f(x) = $x^2 - 10x$  x 受限于 g(x) = x -3 <= 0 我们可以利用惩罚因子,将上述问题转化为非受限约束问题,也就是拿掉g(x)的限制. 函数变为: min P(x,s,r) = $x^2 - 10x + sr\phi(x - 3)$ 其中s = +1 或-1, r…
原文:http://luowei828.blog.163.com/blog/static/310312042013101401524824 通常而言,损失函数由损失项(loss term)和正则项(regularization term)组成.发现一份不错的介绍资料: http://www.ics.uci.edu/~dramanan/teaching/ics273a_winter08/lectures/lecture14.pdf (题名“Loss functions; a unifying vi…
[machine learning] Loss Function view 有关Loss Function(LF),只想说,终于写了 一.Loss Function 什么是Loss Function?wiki上有一句解释我觉得很到位,引用一下:The loss function quantifies the amount by which the prediction deviates from the actual values.Loss Function中文损失函数,适用于用于统计,经济,机…
通常而言,损失函数由损失项(loss term)和正则项(regularization term)组成.发现一份不错的介绍资料: http://www.ics.uci.edu/~dramanan/teaching/ics273a_winter08/lectures/lecture14.pdf (题名“Loss functions; a unifying view”).   一.损失项 对回归问题,常用的有:平方损失(for linear regression),绝对值损失: 对分类问题,常用的有…
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