Re: Terence Tao • Modular Arithmetic Challenge

• Can a neural network learn to do modular multiplication efficiently?

Incidental Reflection 1

There are alternative models of neural networks which do not depend on threshold neurons and endlessly fiddling with weights.

Incidental Reflection 2

The series of three blog posts linked below present a case study comparing two ways of handling a classic example from the Parallel Distributed Processing paradigm, namely, the “Jets and Sharks” database problem, first taking up the original treatment by McClelland and Rumelhart and then proceeding according to a program I developed for propositional logic modeling.  The latter method makes use of ideas from Grossberg’s competition‑cooperation and winner‑take‑all dynamics, but is purely propositional‑logic based, involving no extraneous weights.

• Theme One Program • Jets and Sharks • (1) • (2) • (3)

Resources

• Survey of Theme One Program
• Differential Analytic Turing Automata

cc: Academia.edu • Cybernetics • Laws of Form • Ma^thstodon
cc: Research Gate • Structural Modeling • Systems Science • Syscoi

#arithmetization, #c-s-peirce, #godel-numbers, #higher-order-sign-relations, #inquiry-driven-systems, #inquiry-into-inquiry, #logic, #mathematics, #quotation, #recursion, #reflection, #reflective-interpretive-frameworks, #semiotics, #sign-relations, #triadic-relations, #use-and-mention, #visualization