https://youtu.be/df43V4OjMVs
The PySR library is important enough that it deserves another video (series?) focusing on the key advances embodied in PySR. While I recognize these advances have been covered in other videos (Py/SINDy, etc.) PySR is at a level of abstraction that qualifies as a meta-programming language platform with all of the attendant potential that implies. For example, Transformers can be symbolically described as dynamical systems. While the rats' nest of PDEs required to so describe Transformers would be regarded as more "explainable" than the weight matrix, it does point to a potential unification of the "symbolist" and "connectionist" worlds which would be revolutionary. In the _theoretic_ limit, this can expose a fundamental flaw not only in the Pareto Frontier formulation -- which is obviated by Kolmogorov Complexitys' unification of program and data in a single figure of merit -- but in Kolmogorov Complexity itself by reducing it to directed CYCLIC graphs of NOR gates as dynamical system. https://jimbowery.blogspot.com/2023/10/ninor-complexity.html In that limit, quantification of the complexity of, say, "cosine" vs "sqrt" falls out as a natural result of the NiNOR Complexity model of all data under consideration. The philosophical implications of this are profound as it clarifies what we mean by "language", "epistemology" and "ontology". ------------------------------------------ Artificial General Intelligence List: AGI Permalink: https://agi.topicbox.com/groups/agi/T41864f2e0f2e7c3e-Md07596cf0447772c4a160eca Delivery options: https://agi.topicbox.com/groups/agi/subscription
