5 papers
Regression and Algorithmic Information Theory
Samuel Epstein
In this paper we prove a theorem about regression, in that the shortest description of a function consistent with a finite sample of data is less than the combined conditional Kolm…
A Quantum Outlier Theorem
Samuel Epstein
In recent results, it has been proven that all sampling methods produce outliers. In this paper, we extend these results to quantum information theory. Projectors of large rank mus…
On the Existence of Anomalies
Samuel Epstein
The Independence Postulate (IP) is a finitary Church-Turing Thesis, saying mathematical sequences are independent from physical ones. IP implies the existence of anomalies.
A Quantum EL Theorem
Samuel Epstein
In this paper, we prove a quantum version of the EL Theorem. It states that non-exotic projections of large rank must have simple quantum states in their images. A consequence to t…
Outliers, Dynamics, and the Independence Postulate
Samuel Epstein
We show that outliers occur almost surely in computable dynamics over infinite sequences. Ever greater outliers can be found as the number of visited states increases. We show the…