Pritam Dey

Spatial immune ecosystems govern therapeutic response in HER2-low breast cancer

Additive Nonparametric Regression with Spatial and Network Objects

This article is motivated by an imaging application from the Adolescent Brain Cognitive Development (ABCD) study, aiming to predict task-based brain activation maps from t-fMRI using cortical metrics from structural MRI (s-MRI) and brain connectivity data from resting-state fMRI (rs-fMRI). Hierarchical Bayesian modelin...

A Generalized Tangent Approximation based Variational Inference Framework for Strongly Super-Gaussian Likelihoods

This article proposes a novel variational framework based on tangent transformation for a broad class of probability models characterized by strongly super-Gaussian likelihoods, thereby inducing conjugacy with Gaussian priors over model parameters in an otherwise intractable setup.

Probabilistic Symbolic Regression for Equation Discovery via Operator-induced and Regularized Symbolic Forests

This work introduces a probabilistic symbolic regression framework that represents mathematical expressions as ensembles of symbolic trees, and develops posterior concentration guarantees when symbolic expressions approximate the underlying relationship arbitrarily well, with a near-parametric rate when an exact finite...