12 problems

Higher category modelling conjecture. Category theory and higher dimensional category theory could be necessary for modelling this kind of behaviour.

Consider an agent whose internal graph uses de-inforcement and which can enter a “rest” state with limited or no external stimuli. Rest-state de-inforcement conjecture. During such…

The model uses de-inforcement, meaning that plasticity reduces rather than amplifies signals in its internal graph representation. De-inforcement conjecture. The de-inforcement fun…

In a biological network, let the teaching signal denote the signal governing distinct learning phases and their Hebbian or anti-Hebbian updates, and let brain oscillations denote r…

A simplicial complex is a collection of simplexes closed under taking faces and under intersections of faces. Santoro et al.'s method applies simplicial complexes to the multivaria…

The brain is organized into areas that can process different types of input separately while also integrating them into a unified representation. Tononi's conjecture. The brain nee…

Let $H^{(\vartheta,\tau,\sigma)}$ be the limit distribution of interspike times for parameter triplet $(\vartheta,\tau,\sigma)$. Define the quantile spread ratio…

Let $(\vartheta,\tau,\sigma)$ be parameter values, and let $H^{(\vartheta,\tau,\sigma)}$ be the limit distribution of the empirical distribution functions of the interspike times,…

Partial-plasticity conjecture. A large variety of behaviors can be generated instantaneously by partial plasticity of the nervous system, without adjusting the entire neural circui…

A multihypothesis sequential probability ratio test is a sequential decision procedure for distinguishing among multiple hypotheses using accumulated observations and likelihood ra…

A stochastic blockmodel represents brain-region connectivity using blocks, while a degree-corrected stochastic blockmodel allows nodes to have varying degree distributions. The dat…

Consider the stochastic periodically forced leaky integrate-and-fire (LIF) model neuron described above. Let $\mathbf{K}$ be the operator mapping the density $f_k$ of the phase of…