On Experiments

Fuente: arXiv
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Autore principale: van Rooyen, Brendan
Natura: Preprint
Pubblicazione: 2025
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author van Rooyen, Brendan
author_facet van Rooyen, Brendan
contents The scientific process is a means to turn the results of experiments into knowledge about the world in which we live. Much research effort has been directed toward automating this process. To do this, one needs to formulate the scientific process in a precise mathematical language. This paper outlines one such language. What is presented here is hardly new. The material is based on great thinkers from times past well as more modern contributions. The novel contributions of this paper are: A new general data processing inequality, a bias variance decomposition for canonical losses, streamlined proofs of the Blackwell-Sherman-Stein and Randomization theorems. means of calculating deficiency through linear programming.
format Preprint
id arxiv_https___arxiv_org_abs_2508_08288
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Experiments
van Rooyen, Brendan
Machine Learning
Probability
Statistics Theory
The scientific process is a means to turn the results of experiments into knowledge about the world in which we live. Much research effort has been directed toward automating this process. To do this, one needs to formulate the scientific process in a precise mathematical language. This paper outlines one such language. What is presented here is hardly new. The material is based on great thinkers from times past well as more modern contributions. The novel contributions of this paper are: A new general data processing inequality, a bias variance decomposition for canonical losses, streamlined proofs of the Blackwell-Sherman-Stein and Randomization theorems. means of calculating deficiency through linear programming.
title On Experiments
topic Machine Learning
Probability
Statistics Theory
url https://arxiv.org/abs/2508.08288