DeepAI
Log In Sign Up

Hierarchical Selective Recruitment in Linear-Threshold Brain Networks - Part II: Inter-Layer Dynamics and Top-Down Recruitment

09/05/2018
by   Erfan Nozari, et al.
0

Goal-driven selective attention (GDSA) is a remarkable function that allows the complex dynamical networks of the brain to support coherent perception and cognition. Part I of this two-part paper proposes a new control-theoretic framework, termed hierarchical selective recruitment (HSR), to rigorously explain the emergence of GDSA from the brain's network structure and dynamics. This part completes the development of HSR by deriving conditions on the joint structure of the hierarchical subnetworks that guarantee top-down recruitment of the task-relevant part of each subnetwork by the subnetwork at the layer immediately above, while inhibiting the activity of task-irrelevant subnetworks at all the hierarchical layers. To further verify the merit and applicability of this framework, we carry out a comprehensive case study of selective listening in rodents and show that a small network with HSR-based structure and minimal size can explain the data with remarkable accuracy while satisfying the theoretical requirements of HSR. Our technical approach relies on the theory of switched systems and provides a novel converse Lyapunov theorem for state-dependent switched affine systems that is of independent interest.

READ FULL TEXT
06/12/2020

Self-organization of multi-layer spiking neural networks

Living neural networks in our brains autonomously self-organize into lar...
01/30/2017

Emergence of Selective Invariance in Hierarchical Feed Forward Networks

Many theories have emerged which investigate how in- variance is generat...
08/26/2020

Selective Particle Attention: Visual Feature-Based Attention in Deep Reinforcement Learning

The human brain uses selective attention to filter perceptual input so t...
03/17/2022

Ranking of Communities in Multiplex Spatiotemporal Models of Brain Dynamics

As a relatively new field, network neuroscience has tended to focus on a...
06/29/2006

May We Have Your Attention: Analysis of a Selective Attention Task

In this paper we present a deeper analysis than has previously been carr...
01/06/2021

3D Convolutional Selective Autoencoder For Instability Detection in Combustion Systems

While analytical solutions of critical (phase) transitions in physical s...