New Ideas for Brain Modelling 2

Abstract

This paper describes a relatively simple way of allowing a brain model to self-organise its concept patterns through nested structures. For a simulation, time reduction is helpful and it would be able to show how patterns may form and then fire in sequence, as part of a search or thought process. It uses a very simple equation to show how the inhibitors in particular, can switch off certain areas, to allow other areas to become the prominent ones and thereby define the current brain state. This allows for a small amount of control over what appears to be a chaotic structure inside of the brain. It is attractive because it is still mostly mechanical and therefore can be added as an automatic process, or the modelling of that. The paper also describes how the nested pattern structure can be used as a basic counting mechanism. Another mathematical conclusion provides a basis for maintaining memory or concept patterns. The self-organisation can space itself through automatic processes. This might allow new neurons to be added in a more even manner and could help to maintain the concept integrity. The process might also help with finding memory structures afterwards. This extended version integrates further with the existing cognitive model and provides some new conclusions.Comment: This is an extended version of arXiv:1403.6274, with a different conclusions section as wel

How the Brain might use Division

“…When using this table, rows are counted from the bottom-up and columns from left to right. So, for example, Units would be in row 1, and the cell (row, column) [3,5] would represent the number 4000.…”

“…In division, for example, the positive order of magnitude may relate to the size of what the whole integer part would be and the negative order of magnitude would relate to how many orders the fractional part needs to be moved to be that whole number. For example, if the number is 10000.2, then it would be assigned to the cells [5,2] (instead of [4,2]) and also [0, 2] (for the 2 units). A negative order of magnitude of 1 is then stored with the first (highest order) cell.…”

“…There is lots of evidence from earlier work that smooth transitions are more desirable in terms of energy consumption and entropy, or disruption [6] [7]. The system prefers to work in a less disruptive state, but the disruption can become significant and may even help to define separate stages.…”

“…A sequence of patterns is just thata line of patterns where the first one should be the strongest and the final one the weakest. The idea of a chain equation, but more probably a number series is also used in [5] with relation to evaluating behaviours, and therefore it is a similar but slightly different equation.…”

“…The numbers have been split into their orders of magnitude parts and added to the grid, shown below in Figure 2. Note that the cell [2,6] has 2 entries, one for the number and one for the addendum. The Maths takes place over cell [2,6].…”