Cellular dynamics are intrinsically noisy, so mechanistic models must incorporate stochasticity if they are to adequately model experimental observations. As well as intrinsic stochasticity in gene ...

Stochastic models have become indispensable tools for understanding growth dynamics in complex systems. By incorporating randomness and uncertainty into the modelling framework, these methods provide ...

Stochastic gradient descent (SGD) provides a scalable way to compute parameter estimates in applications involving large-scale data or streaming data. As an alternative version, averaged implicit SGD ...

We give sufficient conditions for strong consistency of estimators for the order of general nonstationary autoregressive models based on the minimization of an ...