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 target data distribution. For instance, one of the tasks of the common spam filtering problem consists in adapting a model from one user to a new user who receives significantly different emails. Domain adaptation has also been shown to be beneficial for learning unrelated sources.
Note that, when more than one source distribution is available the problem is referred to as multi-source domain adaptation.

Overview

Domain adaptation is the ability to apply an algorithm trained in one or more "source domains" to a different "target domain". Domain adaptation is a subcategory of transfer learning. In domain adaptation, the source and target domains all have the same feature space ; in contrast, transfer learning includes cases where the target domain's feature space is different from the source feature space or spaces.

Domain shift

A domain shift, or distributional shift, is a change in the data distribution between an algorithm's training dataset, and a dataset it encounters when deployed. These domain shifts are common in practical applications of artificial intelligence. Conventional machine-learning algorithms often adapt poorly to domain shifts. The modern machine-learning community has many different strategies to attempt to gain better domain adaptation.

Examples

Other applications include wifi localization detection and many aspects of computer vision.

Formalization

Let be the input space and let be the output space. The objective of a machine learning algorithm is to learn a mathematical model able to attach a label from to an example from. This model is learned from a learning sample.
Usually in supervised learning, we suppose that the examples are drawn i.i.d. from a distribution of support . The objective is then to learn such that it commits the least error possible for labelling new examples coming from the distribution.
The main difference between supervised learning and domain adaptation is that in the latter situation we study two different distributions and on. The domain adaptation task then consists of the transfer of knowledge from the source domain to the target one. The goal is then to learn such that it commits as little error as possible on the target domain.
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 information considered for the target task.
  1. The unsupervised domain adaptation: the learning sample contains a set of labeled source examples, a set of unlabeled source examples and a set of unlabeled target examples.
  2. The semi-supervised domain adaptation: in this situation, we also consider a "small" set of labeled target examples.
  3. The supervised domain adaptation: all the examples considered are supposed to be labeled.

    Four algorithmic principles

Reweighting algorithms

The objective is to reweight the source labeled sample such that it "looks like" the target sample.

Iterative algorithms

A method for adapting consists in iteratively "auto-labeling" the target examples. The principle is simple:
  1. a model is learned from the labeled examples;
  2. automatically labels some target examples;
  3. a new model is learned from the new labeled examples.
Note that there exist other iterative approaches, but they usually need target labeled examples.

Search of a common representation space

The goal is to find or construct a common representation space for the two domains. The objective is to obtain a space in which the domains are close to each other while keeping good performances on the source labeling task.
This can be achieved through the use of Adversarial machine learning techniques where feature representations from samples in different domains are encouraged to be indistinguishable.

Hierarchical Bayesian Model

The goal is to construct a Bayesian hierarchical model, which is essentially a factorization model for counts, to derive domain-dependent latent representations allowing both domain-specific and globally shared latent factors.