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This paper presents the "Bayesian reflex," a scalable algorithmic framework that finally bridges predictive coding theory with practical AI implementation through hierarchical generative models and active inference. By leveraging recent advances in ellipsoidal decomposition and recursive Gaussian processes, it enables mathematically principled continual learning for perception and decision-making tasks ranging from climate modeling to prime number discovery. The work offers a significant theoretical blueprint for building truly adaptive artificial intelligence systems that mimic cortical computation more faithfully than current architectures.
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The Bayesian Reflex: A Predictive Coding Engine for Artificial Intelligence

arXiv2 min read

arXiv:2608.00492v1 Announce Type: new Abstract: 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 maintenance via hierarchical generative models, sequential Bayesian updating via prediction-error minimization, and uncertainty-driven action via active inference. We show that recent breakthroughs---ellipsoidal decomposition for exact $i.i.d.$ sampling, recursive Gaussian processes for deep hierarchical inference, and derivative-aware Bayesian optimization---provide the missing algorithmic ingredients. The resulting framework enables mathematically principled, scalable, and brain-inspired continual learning, perception, and decision-making. We illustrate its versatility through applications ranging from climate model evaluation to prime number discovery, offering a blueprint for truly adaptive artificial intelligence.

Abstract: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 maintenance via hierarchical generative models, sequential Bayesian updating via prediction-error minimization, and uncertainty-driven action via active inference. We show that recent breakthroughs---ellipsoidal decomposition for exact $i.i.d.$ sampling, recursive Gaussian processes for deep hierarchical inference, and derivative-aware Bayesian optimization---provide the missing algorithmic ingredients. The resulting framework enables mathematically principled, scalable, and brain-inspired continual learning, perception, and decision-making. We illustrate its versatility through applications ranging from climate model evaluation to prime number discovery, offering a blueprint for truly adaptive artificial intelligence.

Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

arXiv:2608.00492 [cs.AI]

(or arXiv:2608.00492v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2608.00492 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 214 words

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