Robustness in spiking networks: a geometric perspective
Neural systems are remarkably robust against various perturbations, a phenomenon that still requires a clear explanation. Here, we graphically illustrate how neural networks can become robust. We study spiking networks that generate low-dimensional representations, and we show that the neurons’ subthreshold voltages are confined to a convex region in a lower-dimensional voltage subspace, which we call a ‘bounding box.’ Any changes in network parameters (such as number of neurons, dimensionality of inputs, firing thresholds, synaptic weights, or transmission delays) can all be understood as deformations of this bounding box. Using these insights, we show that functionality is preserved as long as perturbations do not destroy the integrity of the bounding box. We suggest that the principles underlying robustness in these networks—low-dimensional representations, heterogeneity of tuning, and precise negative feedback—may be key to understanding the robustness of neural systems at the circuit level.
Mechanism(s) of negative feedback from horizontal cells to cones and its consequence for (color) vision
Vision starts in the retina where images are transformed and coded into neuronal activity relevant for the brain. These coding steps function optimally over a wide range of conditions: from bright day on the beach to a moonless night. Under these very different conditions, specific retinal mechanisms continue to select relevant aspects of the visual world and send this information to the brain. We are studying the neuronal processing involved in these selection and adaptation processes. This knowledge is essential for understanding how the visual system works and forms the basis for research dedicated to restoring vision in blind people.
The ecology of collective behaviour
Collective behaviour operates without central control, through interactions among individuals. The collective behaviour of ant colonies is based on simple olfactory interactions. Ant species differ enormously in the algorithms that regulate collective behaviour, reflecting diversity in ecology. I will contrast two species in very different ecological situations. Harvester ant colonies in the desert, where water is scarce but conditions are stable, regulate foraging to conserve water. Response to positive feedback from olfactory interactions depends on the risk of water loss, mediated by dopamine neurophysiology. For arboreal turtle ants in the tropical forest, life is easy but unpredictable, and a highly modular system uses negative feedback to sustain activity. In all natural systems, from ant colonies to brains, collective behaviour evolves in relation with changing conditions. Similar dynamics in environmental conditions may lead to the evolution of similar processes to regulate collective behaviour.