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In Bayesian statistics a prior distribution formalizes information or knowledge (often subjective), available before a sample is seen, in the form of a probability distribution. A distribution with large spread is used when little is known about the parameter(s), while a more narrow prior distribution represents a greater degree of information.
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Is the inductive bias a prior?
No. This is the likelihood as evident from the defintion. You introduce inductive bias in linear regression by making assumption that the data follows linear model. Even in Bayesian approaches you're …