CAS: Mathematics & Statistics: Scholarly Works

Perturbation detection through modeling of gene expression on a latent biological pathway network: a Bayesian hierarchical approach

Pham, Lisa M.; Carvalho, Luis; Schaus, Scott; Kolaczyk, Eric D. (Taylor & Francis, 2016)

Cellular response to a perturbation is the result of a dynamic system of biological variables linked in a complex network. A major challenge in drug and disease studies is identifying the key factors of a biological network ...

Calibrated model criticism using split predictive checks

Li, Jiawei; Huggins, Jonathan (2022-03-29)

Checking how well a fitted model explains the data is one of the most fundamental parts of a Bayesian data analysis. However, existing model checking methods suffer from trade-offs between being well-calibrated, automated, ...

Robust, automated, and accurate black-box variational inference

Welandawe, Manushi; Riis Anderson, Michael; Vehtari, Aki; Huggins, Jonathan (2022-03-29)

Black-box variational inference (BBVI) now sees widespread use in machine learning and statistics as a fast yet flexible alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, stochastic ...

State space methods for phase amplitude coupling analysis

Soulat, Hugo; Stephen, Emily P.; Beck, Amanda M.; Purdon, Patrick L. (Springer Science and Business Media LLC, 2022-09-24)

Phase amplitude coupling (PAC) is thought to play a fundamental role in the dynamic coordination of brain circuits and systems. There are however growing concerns that existing methods for PAC analysis are prone to error ...

Sevoflurane induces coherent slow-delta oscillations in rats

Guidera, Jennifer A.; Taylor, Norman E.; Lee, Justin T.; Vlasov, Ksenia Y.; Pei, JunZhu; Stephen, Emily P.; Mayo, J. Patrick; Brown, Emery N.; Solt, Ken (Frontiers Media SA, 2017)

Although general anesthetics are routinely administered to surgical patients to induce loss of consciousness, the mechanisms underlying anesthetic-induced unconsciousness are not fully understood. In rats, we characterized ...

Broadband slow-wave modulation in posterior and anterior cortex tracks distinct states of propofol-induced unconsciousness

Stephen, Emily P.; Hotan, Gladia C.; Pierce, Eric T.; Harrell, P. Grace; Walsh, John L.; Brown, Emery N.; Purdon, Patrick L. (Springer Science and Business Media LLC, 2020-08-13)

A controversy has developed in recent years over the roles of frontal and posterior cortices in mediating consciousness and unconsciousness. Disruption of posterior cortex during sleep appears to suppress the contents of ...

Global solutions to the stochastic reaction-diffusion equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain

Salins, Michael (American Mathematical Society (AMS), 2022-09-02)

We describe sufficient conditions on the reaction terms and multiplicative noise terms of a stochastic reaction-diffusion equation that guarantee that the solutions never explode. Both the reaction term and multiplicative ...