This is a snippet from a conversation I had concerning the paradigm I operate in: My constructs are beautiful because they are elegant, though, it is really just an implementation of abelian fields… …The basis of my paradigm is a semantic ontology – domains of knowledge and tacit experience. The networks of the semantic ontology have linear transformations and is a differential of intentionality – I can show how experience and intentional objects change along with their corresponding waves and harmonics because it is orthogonally diagonalizable. It’s an abstraction of how concepts exists in a network and it currently compliments Read More
In order to dive deeper into an exciting topic, we’re mixing up the format. Over the next three days, we’ll spend the next three episodes exploring an incredible application of seemingly purely-abstract mathematics: how algebraic topology can help us decode the connections among neurons in our brains, to help us understand their function.
Last episode we saw that your neural network can be modeled as a graph, which — we’ll show in this episode — can be viewed as a higher-dimensional simplicial complex. So… what is a simplicial complex??