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In statistics, people often talk about unbiased estimators. In machine learning, bias variance trade-off is mentioned all the time.

Does bias in both contexts mean the same thing?

Does an unbiased estimator have a bias for the data it tries to model?

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    $\begingroup$ yes both biases are the same, they mean $\mathbb{E}_\theta[\hat{\theta}]\ne\theta$. $\endgroup$ – Xi'an Jan 16 '17 at 11:31
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Yes, they mean the same thing.

This free chapter covers bias and variance of estimators: http://www.deeplearningbook.org/contents/ml.html

Please see section 5.4, which has a good explanation of what they are.

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