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Author

Sourabh Bhattacharya

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#machine learning Preprint Aug 2026

Dirichlet Process Mixtures of Trees with Gaussian Process Splits: A Bayesian Nonparametric Framework with Posterior Contraction Rate

We propose a Bayesian nonparametric mixture of regression trees with a Dirichlet process prior over tree-parameter pairs, enabling data-driven selection of ensemble size and unifying CART, BART, random forests, and boosting. A novel splitting rule driven by the posterior predictive of a Gaussian process within each ter...

Subhasish Basak, Anik Roy, Sourabh Bhattacharya · 0 citations
Preprint Aug 2026

Recursive Gaussian Processes and the Bayesian Brain

Predictive coding offers a powerful framework for cortical computation, yet scalable implementations that respect both Bayesian exactness and neurobiological constraints remain scarce. We bridge this gap by formally connecting predictive coding to Recursive Gaussian Processes (RGPs). RGPs employ a single Gaussian proce...

Moumita Das, Dipanjan Ray, Sourabh Bhattacharya · 0 citations
Preprint Aug 2026

The Bayesian Reflex: A Predictive Coding Engine for Artificial Intelligence

Predictive coding offers a powerful theory of cortical computation, but corresponding scalable algorithmic implementations for artificial intelligence have remained elusive. This paper introduces the Bayesian reflex, a computational framework that directly instantiates predictive coding through three pillars: belief ma...

Sourabh Bhattacharya · 0 citations

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