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Domain adaptation : ウィキペディア英語版
Domain adaptation

Domain Adaptation is a field associated with machine learning and transfer learning.
This scenario arises when we aim at learning from a source data distribution a well performing model on a different (but related) target data distribution. For instance, one of the tasks of the common spam filtering problem consists in adapting a model from one user (the source distribution) to a new one who receives significantly different emails (the target distribution).
Note that, when more than one source distribution is available we talked about multi-source domain adaptation.
== Formalization ==
Let X be the input space (or description space) and let Y be the output space (or label space). The objective of a machine learning algorithm is to learn a mathematical model (a hypothesis) h:X\to Y able to affect a label of Y to an example from X. This model is learned from a learning sample S=\_^m \in (X\times Y)^m.
Usually in supervised learning (without domain adaptation), we suppose that the examples (x_i,y_i)\in S are drawn i.i.d. from a distribution D_S of support X\times Y (unknown and fixed). The objective is then to learn h (from S) such that it commits the least error as possible for labelling new examples coming from the distribution D_S.
The main difference between supervised learning and domain adaptation is that in the latter situation we study two different (but related) distributions D_S and D_T on X\times Y. The domain adaptation task then consists of the transfer of knowledge from the source domain D_S to the target one D_T. The goal is then to learn h (from labeled or unlabelled samples coming from the two domains) such that it commits as little error as possible on the target domain D_T.
The major issue is the following: if a model is learned from a source domain, what is its capacity to correctly label data coming from the target domain?
== The different types of domain adaptation ==
There are several contexts of domain adaptation. They differ in the informations considered for the target task.
# The unsupervised domain adaptation: the learning sample contains a set of labeled source examples, a set of unlabeled source examples and an unlabeled set of target examples.
# The semi-supervised domain adaptation: in this situation, we also consider a "small" set of labeled target examples.
# The supervised domain adaptation: all the examples considered are supposed to be labeled.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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