Originally, this topic was not part of the doctoral course for which this book serves as the syllabus. But I felt the need to add it because I believe there is, in various scientific domains, a true crisis about how to assess the credibility of information.
I start by referring to the classic theory of information, where quantitative information is treated as an estimand whose estimates are produced by an estimator, which can be of three types: measured, inferred, or predicted. I propose that the distinction between inferred and predicted is whether the estimator uses prior knowledge; in that case, we call it a predictive estimator. And prior knowledge is, in this narrow definition, considered only as explicit knowledge, such as the second law of dynamics (rigorously defined as an undefeated justified true belief).
Then to assess the credibility of the estimator (and thus of the information it estimates), we have three separate frameworks: for measured estimators, it is provided by metrology; for inferred estimators is provided by statistics; and for predicted estimators (in such narrow sense, so first-principle models) is provided by computational science & engineering (CS&E) with the so called VVUQ framework.
At this point, I highlight that the AI revolution is blurring the boundary between these three types: predictors built on implicit synthetic data, synthetic data, machine learning estimators trained on synthetic data, and physics-informed machine learning. Thus, I propose the S7 Framework, a generalisation of the three specialised frameworks from metrology, statistics and CS&E. These are special cases of the S7 framework for assessing the credibility of information, regardless of the type of estimator used to generate it.
I must stress a caveat: the original paper proposing the S7 is currently available only as a preprint and has not been peer-reviewed (https://doi.org/10.5281/zenodo.18130930). I already sent it to two journals, and both rejected it because the topic is not of interest to them. I appreciate that the argument is quite theoretical, but I believe it has tremendous importance right now. If you know a journal that might consider such a paper, please let me know.
Enjoy the reading!
Summary of Chapter 5 of “The Craft of Scientific Research”, by Marco Viceconti, self-published and Green Open Access book on the Zenodo repository: https://doi.org/10.5281/zenodo.18069190.
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