Abstract: The quantum adversary method is one of the most versatile lower-bound methods for quantum algorithms. We show that all known variants of this method are equivalent: spect...
Abstract. This paper presents an approach for reasoning about action and change which appeals to the principle of Occam’s razor— roughly stating that the simplest explanations ...
Abstract. In this paper we address the problem of commonsense reasoning about action by appealing to Occam’s razor—we should accept the simplest hypothesis explaining the obser...
Universal induction solves in principle the problem of choosing a prior to achieve optimal inductive inference. The AIXI theory, which combines control theory and universal induct...
We explore the phenomena of subjective randomness as a case study in understanding how people discover structure embedded in noise. We present a rational account of randomness per...