activity
20152026
most citedCusps Enable Line Attractors for Neural Computation

13 citations · 37 across the 11 of their papers we have counts for

collaborators

11 papers

q-bio.QM2026

Diffusion learning reveals viable parameter manifolds and compensation geometry in biological dynamical systems

Ruilin Zhang, Louis Tao, Zhuo-Cheng Xiao

Models of complex systems often have many parameters, yet are constrained by far fewer experimentally accessible observables; consequently, similar activity can emerge from coordin…

q-bio.NC2026

Mostly-monocular responses and other visual functions in a multiscale network model of Macaque V1

Zhuo-Cheng Xiao, Kevin K. Lin, Lai-Sang Young

Visual signals from the two eyes merge gradually as they pass through the primary visual cortex (V1). Here we use a computational model of Macaque V1 to study the first stage of th…

math.NA2026

Numerical analysis for leaky-integrate-fire networks under Euler-Maruyama

Xu'an Dou, Frank Chen, Kevin K Lin +1

Leaky integrate-and-fire (LIF) networks are standard reduced models for spike-based neural dynamics and a natural substrate for neuromorphic computation. We study time-driven Euler…

q-bio.NC2025

Finite-state Markovian surrogates for long-time neuronal state distributions and firing rates

Zhongyi Wang, Louis Tao, Zhuo-Cheng Xiao

Spiking neuronal networks connect cellular and synaptic mechanisms to collective activity, but estimating their long-time statistics often requires costly spike-by-spike simulation…

q-bio.NC2024

Minimizing information loss reduces spiking neuronal networks to differential equations

Jie Chang, Zhuoran Li, Zhongyi Wang +2

Spiking neuronal networks (SNNs) are widely used in computational neuroscience, from biologically realistic modeling of local cortical networks to phenomenological modeling of the…

nlin.AO2022★ 3 cited

Learning biological neuronal networks with artificial neural networks: neural oscillations

Ruilin Zhang, Zhongyi Wang, Tianyi Wu +4

First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and phenomena. However, they can be h…

q-bio.NC2022★ 2 cited

Multi-band oscillations emerge from a simple spiking network

Tianyi Wu, Yuhang Cai, Ruilin Zhang +3

In the brain, coherent neuronal activities often appear simultaneously in multiple frequency bands, e.g., as combinations of alpha (8-12 Hz), beta (12.5-30 Hz), gamma (30-120 Hz) o…

q-bio.NC2021★ 12 cited

A data-informed mean-field approach to mapping of cortical parameter landscapes

Zhuo-Cheng Xiao, Kevin K. Lin, Lai-Sang Young

Constraining the many biological parameters that govern cortical dynamics is computationally and conceptually difficult because of the curse of dimensionality. This paper addresses…

q-bio.NC2021★ 2 cited

Model Reduction Captures Stochastic Gamma Oscillations on Low-Dimensional Manifolds

Yuhang Cai, Tianyi Wu, Louis Tao +1

Gamma frequency oscillations (25-140 Hz), observed in the neural activities within many brain regions, have long been regarded as a physiological basis underlying many brain functi…

q-bio.NC2017★ 13 cited

Cusps Enable Line Attractors for Neural Computation

Zhuocheng Xiao, Jiwei Zhang, Andrew T. Sornborger +1

Line attractors in neuronal networks have been suggested to be the basis of many brain functions, such as working memory, oculomotor control, head movement, locomotion, and sensory…

q-bio.NC2015★ 5 cited

A Fokker-Planck approach to graded information propagation in pulse-gated feedforward neuronal networks

Cong Wang, Zhuocheng Xiao, Zhou Wang +2

Information transmission is a key element for information processing in the brain. A number of mechanisms have been proposed for transferring volleys of spikes between layers of a…