no code implementations • 27 Dec 2022 • Erdong Guo, David Draper, Maria De Iorio
Model calibration, which is concerned with how frequently the model predicts correctly, not only plays a vital part in statistical model design, but also has substantial practical applications, such as optimal decision-making in the real world.
no code implementations • 28 Nov 2021 • Erdong Guo, David Draper
In this work, we study the Neural Tangent Kernel (NTK) of Matrix Product States (MPS) and the convergence of its NTK in the infinite bond dimensional limit.
no code implementations • 15 Mar 2021 • Erdong Guo, David Draper
We study the relation between MPS and neural networks and show that the MPS with a scale-invariant sigmoidal function is equivalent to a one-hidden-layer neural network equipped with a kernel function.
no code implementations • 7 Jan 2021 • Erdong Guo, David Draper
It is known that by introducing appropriate prior to the weights of the neural networks, Gaussian Process can be obtained by taking the infinite-width limit of the Bayesian neural networks from a Bayesian perspective.
no code implementations • 1 Jan 2021 • Erdong Guo, David Draper
By Bayes rule, the external information (prior distribution) and the internal information (training data likelihood) are combined coherently, and the posterior distribution and the posterior predictive (marginal) distribution obtained by Bayes rule summarize the total information needed in the inference and prediction, respectively.
1 code implementation • 12 Apr 2017 • Alexander Terenin, Måns Magnusson, Leif Jonsson, David Draper
We conclude by comparing the performance of our algorithm with that of other approaches on well-known corpora.
1 code implementation • 15 Aug 2016 • Alexander Terenin, Shawfeng Dong, David Draper
Gibbs sampling is a widely used Markov chain Monte Carlo (MCMC) method for numerically approximating integrals of interest in Bayesian statistics and other mathematical sciences.
Computation Distributed, Parallel, and Cluster Computing
no code implementations • 30 Sep 2015 • Alexander Terenin, Daniel Simpson, David Draper
We introduce a theoretical framework for analyzing asynchronous Gibbs sampling and other extensions of MCMC that do not possess the Markov property.
Computation