In the brain, patterns of neural activity represent sensory information and store it in non‐
random synaptic connectivity. A prominent theoretical hypothesis states that assemblies …

An essential step toward understanding neural circuits is linking their structure and their
dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical …

Change is ubiquitous in living beings. In particular, the connectome and neural
representations can change. Nevertheless, behaviors and memories often persist over long …

Sparse, sequential patterns of neural activity have been observed in numerous brain areas
during timekeeping and motor sequence tasks. Inspired by such observations, we construct …

The neural dynamics generating sensory, motor, and cognitive functions are commonly
understood through field theories for neural population activity. Classic neural field theories …

Synaptic changes are hypothesized to underlie learning and memory formation in the brain.
But Hebbian synaptic plasticity of excitatory synapses on its own is unstable, leading to …

Recent experimental advances are producing an avalanche of data on both neural
connectivity and neural activity. To take full advantage of these two emerging datasets we …

Sequential activity has been observed in multiple neuronal circuits across species, neural
structures, and behaviors. It has been hypothesized that sequences could arise from …

Spatiotemporal correlations in brain activity are functionally important and have been
implicated in perception, learning and plasticity, exploratory behavior, and various aspects …

Non-random connectivity can emerge without structured external input driven by activity-
dependent mechanisms of synaptic plasticity based on precise spiking patterns. Here we …