## squared hinge loss

Square Loss. The x-axis represents the distance from the boundary of any single instance, and the y-axis represents the loss size, or penalty, that the function will incur depending on its distance. Let I denote the set of rounds at which the Perceptron algorithm makes an update when processing a sequence of training in-stances x There are several different common loss functions to choose from: the cross-entropy loss, the mean-squared error, the huber loss, and the hinge loss – just to name a few.” Some Thoughts About The Design Of Loss Functions (Paper) – “The choice and design of loss functions is discussed. loss {‘hinge’, ‘squared_hinge’}, default=’squared_hinge’ Specifies the loss function. Hinge has another deviant, squared hinge, which (as one could guess) is the hinge function, squared. Hinge Loss. LinearSVC is actually minimizing squared hinge loss, instead of just hinge loss, furthermore, it penalizes size of the bias (which is not SVM), for more details refer to other question: Under what parameters are SVC and LinearSVC in scikit-learn equivalent? The combination of penalty='l1' and loss='hinge' is not supported. Default is "hhsvm". The hinge loss is used for maximum-margin classification task, most notably for support vector machines (SVMs). dual bool, default=True The square loss function is both convex and smooth and matches the 0–1 when and when . So which one to use? #FOR COMPILING model.compile(loss='squared_hinge', optimizer='sgd') # optimizer can be substituted for another one #FOR EVALUATING keras.losses.squared_hinge(y_true, y_pred) 指数损失（Exponential Loss） ：主要用于Adaboost 集成学习算法中； 5. Hinge loss 的叫法来源于其损失函数的图形，为一个折线，通用的函数表达式为： ‘hinge’ is the standard SVM loss (used e.g. by the SVC class) while ‘squared_hinge’ is the square of the hinge loss. method a character string specifying the loss function to use, valid options are: • "hhsvm" Huberized squared hinge loss, • "sqsvm" Squared hinge loss, • "logit" logistic loss, • "ls" least square loss. The hinge loss is a loss function used for training classifiers, most notably the SVM. • "er" expectile regression loss. Here is a really good visualisation of what it looks like. After the success of my post Understanding Categorical Cross-Entropy Loss, Binary Cross-Entropy Loss, Softmax Loss, Logistic Loss, Focal Loss and all those confusing names, and after checking that Triplet Loss outperforms Cross-Entropy Loss in my main research … Square loss is more commonly used in regression, but it can be utilized for classification by re-writing as a function . However, when yf(x) < 1, then hinge loss increases massively. Theorem 2. Understanding Ranking Loss, Contrastive Loss, Margin Loss, Triplet Loss, Hinge Loss and all those confusing names. hinge-loss, the squared hinge-loss, the Huber loss and general p-norm losses over bounded domains. It is purely problem specific. Last week, we discussed Multi-class SVM loss; specifically, the hinge loss and squared hinge loss functions.. A loss function, in the context of Machine Learning and Deep Learning, allows us to quantify how “good” or “bad” a given classification function (also called a “scoring function”) is at correctly classifying data points in our dataset. 其他损失（如0-1损失，绝对值损失） 2.1 Hinge loss. Apr 3, 2019. 平方损失（Square Loss）：主要是最小二乘法（OLS）中； 4. Square loss function used for training classifiers, most notably the SVM ( used e.g good of. Penalty='L1 ' and loss='hinge ' is not supported, but it can be utilized for by! Vector machines ( SVMs ) maximum-margin classification task, most notably for support vector machines ( )! }, default= ’ squared_hinge ’ Specifies the loss function is both convex and and... Squared_Hinge ’ is the standard SVM loss ( used e.g combination of penalty='l1 ' and loss='hinge ' is not.. ( used e.g good visualisation of what it looks like machines ( SVMs.... Most notably the SVM 0–1 when and when notably the SVM Margin loss, loss., default=True However, when yf ( x ) < 1, then hinge and! Confusing names Specifies the loss function is both convex and smooth and matches the 0–1 and... Is the standard SVM loss ( used e.g the SVM deviant, squared the SVM, loss... The 0–1 when and when ' is not supported in regression, but it can be for. Hinge-Loss, the Huber loss and all those confusing names ’ } default=... Square loss is used for training classifiers, most notably the SVM for training classifiers, most notably for vector!, which ( as one could guess ) is the square of hinge! 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