A novel neural paradigm
The Funnel Geometry To build an execution architecture within an organic model, we must abandon the flat, linear columns of traditional machine learning. Biology does not process information in uniform vertical slices; it forces patterns to organize through localized physical constraints. In the Vexafracta paradigm, this is achieved by folding the standard “all-to-all with only […]
VEXEL: One point-unit in the geometry, containing the mathematical state and data fields for that coordinate. NGine: The active transformation associated with each VEXEL. It reads the VEXEL, consults neighboring state, rules, and lookup tables, and produces the next state. VEXAFRACTA: The complete N × N × N volume formed from stacked VEXEL planes. Conceptual […]
1. Initial goals and expectations – a self-interacting computational field: Fractal-like and harmonic organization emerges from bulk interaction rather than from computation within individual units. 2. Core Data Layer – The Sigmoid LUT (TANH to be considered separately): At the foundation sits a highly optimized 256-entry lookup table (LUT) generated via a classic logistic sigmoid […]
A short list of well known paradoxes and my solutions Zeno’s Paradox: before an object can travel a distance, it must first travel half the distance. To travel that remaining half, it must first travel half of that distance (a quarter of the total), and so on, infinitely. Because this requires an infinite number of […]
Modern CPUs have multiple cores, thread and resource management and context switching in ways that were nearly unimaginable in the old days. But they still excel at running serial, sequential programs. GPUs, NPUs and other massively parallel processors are far better at concurrency, simultaneous processing of many small computations across large chunks of data, parallel […]
Working Summary: The VexaFracta Model VexaFracta is a proposed neural-computational substrate built around sparse, locally stateful, phase-sensitive units rather than dense, always-on layers. The central complaint is not that modern neural networks fail. Plainly, they do not. The complaint is that they succeed at enormous computational and financial cost, often by engaging far more machinery […]
The word “VEXEL” currently refers to a type of raster art designed to resemble vector graphics. It is more of an informal term used to describe a design criteria for certain images and does not appear frequently in common usage. The word itself can therefore be appropriated for an unrelated field, that of a novel […]