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Inductive inference

As explained in Sutskever's List

Inductive inference is the process of inferring the process or hypothesis that could have generated observed data.

Inductive inference asks how an observer can infer the process that produced observed data. In Legg’s framing, it supplies foundations for an idealized agent intended to go beyond systems limited to specific tasks. section 9.1.2

Two principles constrain how hypotheses are considered:

  • Epicurus’s principle of multiple explanations says not to discard hypotheses that fit the evidence. Missing cookies and a moved chair could implicate either a child or a burglar. section 9.1.2
  • Occam’s razor favors the simplest hypothesis consistent with the evidence. For 1, 3, 5, 7…, 9 is preferred over a more complicated prediction such as 33. section 9.1.2

Together, these principles motivate considering all computable programs, weighted appropriately, rather than relying on a single task-specific explanation. section 9.1.2

How Sutskever's List covers it

How deep it goes
Defines the problem and illustrates two philosophical constraints, then motivates weighted consideration of computable programs without deriving a formal method.
Examples
Uses missing cookies with competing explanations and the sequence 1, 3, 5, 7… to contrast compatible hypotheses and simplicity.
What you can do after
Understand why inference should retain data-compatible hypotheses while favoring simpler explanations.
How it connects
Connects inductive inference to Occam’s razor, Epicurus’s principle of multiple explanations, and universal intelligence.

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This explainer was generated by Manning's knowledge graph from the text of Sutskever's List. The section links point to the parts of the book it draws on.