1 code implementation • 27 Apr 2024 • Yujie Chen, Anindya Bhadra, Antik Chakraborty
Probabilistic graphical models that encode an underlying Markov random field are fundamental building blocks of generative modeling to learn latent representations in modern multivariate data sets with complex dependency structures.
1 code implementation • 18 May 2023 • Jorge Loría, Anindya Bhadra
From the classical and influential works of Neal (1996), it is known that the infinite width scaling limit of a Bayesian neural network with one hidden layer is a Gaussian process, when the network weights have bounded prior variance.
no code implementations • 22 Oct 2021 • Anindya Bhadra, Jyotishka Datta, Nick Polson, Vadim Sokolov, Jianeng Xu
We show that prediction, interpolation and uncertainty quantification can be achieved using probabilistic methods at the output layer of the model.
no code implementations • 14 Nov 2019 • Pulong Ma, Anindya Bhadra
A key benefit of the Mat\'ern class is that it is possible to get precise control over the degree of mean-square differentiability of the random process.
no code implementations • 24 Apr 2019 • Anindya Bhadra, Jyotishka Datta, Yunfan Li, Nicholas G. Polson
We also outline the recent computational developments in horseshoe shrinkage for complex models along with a list of available software implementations that allows one to venture out beyond the comfort zone of the canonical linear regression problems.
no code implementations • 15 Jan 2018 • Qi Liu, Anindya Bhadra, William S. Cleveland
The density parameters are estimated by fitting the density to MCMC draws from each subset DM likelihood function, and then the fitted densities are recombined.
1 code implementation • 30 Jun 2017 • Anindya Bhadra, Jyotishka Datta, Nicholas G. Polson, Brandon T. Willard
The goal of our paper is to survey and contrast the major advances in two of the most commonly used high-dimensional techniques, namely, the Lasso and horseshoe regularization methodologies.
Methodology Primary 62J07, 62J05, Secondary 62H15, 62F03
no code implementations • 23 Feb 2017 • Anindya Bhadra, Jyotishka Datta, Nicholas G. Polson, Brandon Willard
Feature subset selection arises in many high-dimensional applications of statistics, such as compressed sensing and genomics.