CAS: Mathematics & Statistics: Scholarly Papers
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URI: http://hdl.handle.net/2144/1002
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Mean field limits of particle-based stochastic reaction-diffusion models
(2020)Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for studying biological systems involving both noise in the reaction process and diffusive transport. In this work we derive coarse-grained ... -
How reaction-diffusion PDEs approximate the large-population limit of stochastic particle models
(2021)Reaction-diffusion PDEs and particle-based stochastic reaction-diffusion (PBSRD) models are commonly-used approaches for modeling the spatial dynamics of chemical and biological systems. Standard reaction-diffusion PDE ... -
Quadratic Chabauty for modular curves: algorithms and examples
(2021)We describe how the quadratic Chabauty method may be applied to determine the set of rational points on modular curves of genus g whose Jacobians have Mordell–Weil rank g. This extends our previous work on the split Cartan ... -
Independent finite approximations for Bayesian nonparametric inference: construction, error bounds, and practical implications
(2020-09-22)Bayesian nonparametrics based on completely random measures (CRMs)offers a flexible modeling approach when the number of clusters or latent componentsin a dataset is unknown. However, managing the infinite dimensionality ... -
Counting points of slope varieties over finite fields
(ELECTRONIC JOURNAL OF COMBINATORICS, 2011-01-05) -
Interactions of multiple rhythms in a biophysical network of neurons
(Springer Science and Business Media LLC, 2020-12)Neural oscillations, including rhythms in the beta1 band (12–20 Hz), are important in various cognitive functions. Often neural networks receive rhythmic input at frequencies different from their natural frequency, but ... -
Robust inference and model criticism using bagged posteriors
(2019-12)Standard Bayesian inference is known to be sensitive to model misspecification, leading to unreliable uncertainty quantification and poor predictive performance. However, finding generally applicable and computationall ...
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