Examples of using Loss function in English and their translations into Ukrainian
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The loss function also affects the convergence rate for an algorithm.
In some sense the 0-1indicator function is the most natural loss function for classification.
This familiar loss function is used in Ordinary Least Squares regression.
In statistics and decision theory, a frequently used loss function is the 0-1 loss function. .
The loss function is typically chosen to be a norm in an appropriate function space.
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In an inference context the loss function would take the form of a scoring rule.
To extend SVM to cases in which the data are notlinearly separable, we introduce the hinge loss function.
Other loss functions are used in statistics, particularly in robust statistics.
It is very restrictive and sometimes the loss function may be characterized by its desirable properties.
A"linear" loss function, with a> 0{\displaystyle a>0}, which yields the posterior median as the Bayes' estimate.
A typical example is estimation of a location parameter with a loss function of the type L( a- θ){\displaystyle L(a-\theta)}.
Another"linear" loss function, which assigns different"weights" a, b> 0{\displaystyle a, b>0} to over or sub estimation.
For most optimization algorithms, it is desirable to have a loss function that is globally continuous and differentiable.
The most common loss function for regression is the square loss function(also known as the L2-norm).
C is a scalar constant(set by the user of the learning algorithm)that controls the balance between the regularization and the loss function.
In-depth understanding of loss functions and ability to create custom loss functions.
Loss functions need not be explicitly stated for statistical theorists to prove that a statistical procedure has an optimality property.
These algorithms minimize or maximize a Loss function E(x) using its Gradient values with respect to the parameters.
In light of the above discussion, we see that the SVM technique is equivalent to empirical risk minimization with Tikhonov regularization,where in this case the loss function is the hinge loss. .
When taking this drug for bodybuilding and weight loss functions, it is most often taken in a pill or liquid form.
Popular loss functions include the hinge loss(for linear SVMs) and the log loss(for linear logistic regression).
Thus, in statistical decision theory, the risk function of an estimator δ(x) for a parameter θ, calculated from some observables x,is defined as the expectation value of the loss function L.
Bayesian regret Loss functions for classification Discounted maximum loss Hingeloss Scoring rule Statistical risk Wald, A.(1950).
There are other methods of estimation that minimize the posterior risk(expected-posterior loss) with respect to a loss function, and these are of interest to statistical decision theory using the sampling distribution("frequentist statistics").
In statistics, typically a loss function is used for parameter estimation, and the event in question is some function of the difference between estimated and true values for an instance of data.
Discriminative training of linear classifiers usually proceeds in a supervised way, by means of an optimization algorithm that isgiven a training set with desired outputs and a loss function that measures the discrepancy between the classifier's outputs and the desired outputs.
Leonard J. Savage argued thatusing non-Bayesian methods such as minimax, the loss function should be based on the idea of regret, i.e., the loss associated with a decision should be the difference between the consequences of the best decision that could have been made had the underlying circumstances been known and the decision that was in fact taken before they were known.
Tie-Yan Liu of Microsoft Research Asia has analyzed existing algorithms for learning to rank problems in his paper"Learning to Rank for Information Retrieval".[1]He categorized them into three groups by their input representation and loss function: the pointwise, pairwise, and listwise approach.
Gradient descent is used in machine-learning by defining a loss function that reflects the error of the learner on the training set and then minimizing that function. .
Under typical statistical assumptions, the mean or average is the statistic for estimating location thatminimizes the expected loss experienced under the squared-error loss function, while the median is the estimator that minimizes expected loss experienced under the absolute-difference loss function.