Learning in memristive neural network architectures using analog backpropagation circuits

O Krestinskaya, KN Salama… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The on-chip implementation of learning algorithms would speed up the training of neural
networks in crossbar arrays. The circuit level design and implementation of a back …

Sequential attractors in combinatorial threshold-linear networks

C Parmelee, JL Alvarez, C Curto, K Morrison - SIAM journal on applied …, 2022 - SIAM
Sequences of neural activity arise in many brain areas, including cortex, hippocampus, and
central pattern generator circuits that underlie rhythmic behaviors like locomotion. While …

[HTML][HTML] Learning recurrent dynamics in spiking networks

CM Kim, CC Chow - Elife, 2018 - elifesciences.org
Spiking activity of neurons engaged in learning and performing a task show complex
spatiotemporal dynamics. While the output of recurrent network models can learn to perform …

[HTML][HTML] Core motifs predict dynamic attractors in combinatorial threshold-linear networks

C Parmelee, S Moore, K Morrison, C Curto - PloS one, 2022 - journals.plos.org
Combinatorial threshold-linear networks (CTLNs) are a special class of inhibition-dominated
TLNs defined from directed graphs. Like more general TLNs, they display a wide variety of …

Fixed points of competitive threshold-linear networks

C Curto, J Geneson, K Morrison - Neural computation, 2019 - direct.mit.edu
Threshold-linear networks (TLNs) are models of neural networks that consist of simple,
perceptron-like neurons and exhibit nonlinear dynamics determined by the network's …

Oscillatory networks: Insights from piecewise-linear modeling

S Coombes, M Sayli, R Thul, R Nicks, MA Porter… - arXiv preprint arXiv …, 2023 - arxiv.org
There is enormous interest--both mathematically and in diverse applications--in
understanding the dynamics of coupled oscillator networks. The real-world motivation of …

Diversity of emergent dynamics in competitive threshold-linear networks

K Morrison, A Degeratu, V Itskov, C Curto - arXiv preprint arXiv …, 2016 - arxiv.org
Threshold-linear networks consist of simple units interacting in the presence of a threshold
nonlinearity. Competitive threshold-linear networks have long been known to exhibit …

Pattern completion in symmetric threshold-linear networks

C Curto, K Morrison - Neural computation, 2016 - ieeexplore.ieee.org
Threshold-linear networks are a common class of firing rate models that describe recurrent
interactions among neurons. Unlike their linear counterparts, these networks generically …

Periodic solutions in threshold-linear networks and their entrainment

A Bel, R Cobiaga, W Reartes, HG Rotstein - SIAM Journal on Applied …, 2021 - SIAM
Threshold-linear networks (TLNs) are recurrent networks where the dynamics are threshold-
linear (linearly rectified at zero). Mathematically, they consist of coupled nonsmooth ordinary …

Diversity of emergent dynamics in competitive threshold-linear networks

K Morrison, A Degeratu, V Itskov, C Curto - SIAM Journal on Applied …, 2024 - SIAM
Threshold-linear networks consist of simple units interacting in the presence of a threshold
nonlinearity. Competitive threshold-linear networks have long been known to exhibit …