CAS: Mathematics & Statistics: Scholarly Papers
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URI: http://hdl.handle.net/2144/1002
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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 ... -
Validated variational inference via practical posterior error bounds
(2020)Variational inference has become an increasingly attractive fast alternative to Markov chain Monte Carlo methods for approximate Bayesian inference. However, a major obstacle to the widespread use of variational methods ... -
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 ... -
Robust and reproducible model selection using bagged posteriors
(2020-07)Bayesian model selection is premised on the assumption that the data are generated from one of the postulated models, however, in many applications, all of these models are incorrect. When two or more models provide a ... -
Bidirectional contact tracing could dramatically improve COVID-19 control
(2021-01-11)Contact tracing is critical to controlling COVID-19, but most protocols only "forward-trace" to notify people who were recently exposed. Using a stochastic branching-process model, we find that "bidirectional" tracing to ... -
Robust, accurate stochastic optimization for variational inference
(2020-12)We consider the problem of fitting variational posterior approximations using stochastic optimization methods. The performance of these approximations depends on (1) how well the variational family matches the true ... -
Estimating fluctuations in neural representations of uncertain environments
(2020-12-01)Neural Coding analyses often reflect an assumption that neural populations respond uniquely and consistently to particular stimuli. For example, analyses of spatial remapping in hippocampal populations often assume that ... -
Dysmature superficial white matter microstructure in developmental focal epilepsy
(2019)Benign epilepsy with centrotemporal spikes is a common childhood epilepsy syndrome that predominantly affects boys, characterized by self-limited focal seizures arising from the perirolandic cortex and fine motor abnormalities. ... -
Some examples of family Floer mirror
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi-Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel for suitably chosen log Calabi-Yau pairs ... -
The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces
We prove the Strominger-Yau-Zaslow mirror symmetry conjecture for non-compact Calabi-Yau surfaces arising from, on the one hand, pairs (Ŷ, Ď) of a del Pezzo surface Ŷ and Ď a smooth anticanonical divisor and, on the ...
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