6 papers
Effects of Heterogeneity in Two-Cell Feedforward Networks
Abdullah Ahmed, Maria Cameron, Antonio Palacios +2
As the need for higher performance from biological and electronic sensors continues to outpace current technologies, new strategies for designing, developing, and implementing nove…
FMint-SDE: A Multimodal Foundation Model for Accelerating Numerical Simulation of SDEs via Error Correction
Jiaxin Yuan, Haizhao Yang, Maria Cameron
Fast and accurate simulation of dynamical systems is a fundamental challenge across scientific and engineering domains. Traditional numerical integrators often face a trade-off bet…
Learning collective variables that respect permutational symmetry
Jiaxin Yuan, Shashank Sule, Yeuk Yin Lam +1
In addition to translational and rotational symmetries, clusters of identical interacting particles possess permutational symmetry. Coarse-grained models for such systems are instr…
Learning collective variables that preserve transition rates
Shashank Sule, Arnav Mehta, Maria K. Cameron
Collective variables (CVs) play a crucial role in capturing rare events in high-dimensional systems, motivating the continual search for principled approaches to their design. In t…
A predator-prey model with age-structured role reversal
Luis Suarez, Maria K. Cameron, William F. Fagan +1
We propose a predator-prey model with an age-structured predator population that exhibits a functional role reversal. The structure of the predator population in our model embodies…
Sharp error estimates for target measure diffusion maps with applications to the committor problem
Shashank Sule, Luke Evans, Maria Cameron
We obtain asymptotically sharp error estimates for the consistency error of the Target Measure Diffusion map (TMDmap) (Banisch et al. 2020), a variant of diffusion maps featuring i…