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Predictive Coding (PC) is a biologically-inspired learning framework characterised by local, parallelisable operations, properties that enable energy-efficient implementation on neuromorphic hardware. Despite this, extending PC effectively…

Machine Learning · Computer Science 2026-02-23 Tom Potter , Oliver Rhodes

We introduce MuJoCo MPC (MJPC), an open-source, interactive application and software framework for real-time predictive control, based on MuJoCo physics. MJPC allows the user to easily author and solve complex robotics tasks, and currently…

Robotics · Computer Science 2022-12-27 Taylor Howell , Nimrod Gileadi , Saran Tunyasuvunakool , Kevin Zakka , Tom Erez , Yuval Tassa

We introduce JAX MD, a software package for performing differentiable physics simulations with a focus on molecular dynamics. JAX MD includes a number of physics simulation environments, as well as interaction potentials and neural networks…

Computational Physics · Physics 2020-12-04 Samuel S. Schoenholz , Ekin D. Cubuk

Among numerical libraries capable of computing gradient descent optimization, JAX stands out by offering more features, accelerated by an intermediate representation known as Jaxpr language. However, editing the Jaxpr code is not directly…

Programming Languages · Computer Science 2024-03-19 Pierrick Pochelu

Continual Learning is an important and challenging problem in machine learning, where models must adapt to a continuous stream of new data without forgetting previously acquired knowledge. While existing frameworks are built on PyTorch, the…

Machine Learning · Computer Science 2023-04-24 Nikolaos Dimitriadis , Francois Fleuret , Pascal Frossard

We present JaxUED, an open-source library providing minimal dependency implementations of modern Unsupervised Environment Design (UED) algorithms in Jax. JaxUED leverages hardware acceleration to obtain on the order of 100x speedups…

Machine Learning · Computer Science 2024-03-21 Samuel Coward , Michael Beukman , Jakob Foerster

This paper introduces the Encog library for Java and C#, a scalable, adaptable, multiplatform machine learning framework that was 1st released in 2008. Encog allows a variety of machine learning models to be applied to datasets using…

Mathematical Software · Computer Science 2015-06-17 Jeff Heaton

Predictive coding networks are neuroscience-inspired models with roots in both Bayesian statistics and neuroscience. Training such models, however, is quite inefficient and unstable. In this work, we show how by simply changing the temporal…

Neural and Evolutionary Computing · Computer Science 2024-02-08 Tommaso Salvatori , Yuhang Song , Yordan Yordanov , Beren Millidge , Zhenghua Xu , Lei Sha , Cornelius Emde , Rafal Bogacz , Thomas Lukasiewicz

Predictive coding (PC) is an energy-based learning algorithm that performs iterative inference over network activities before updating weights. Recent work suggests that PC can converge in fewer learning steps than backpropagation thanks to…

Machine Learning · Computer Science 2024-11-12 Francesco Innocenti , El Mehdi Achour , Ryan Singh , Christopher L. Buckley

In this paper, we present gfnx, a fast and scalable package for training and evaluating Generative Flow Networks (GFlowNets) written in JAX. gfnx provides an extensive set of environments and metrics for benchmarking, accompanied with…

Machine Learning · Computer Science 2025-11-21 Daniil Tiapkin , Artem Agarkov , Nikita Morozov , Ian Maksimov , Askar Tsyganov , Timofei Gritsaev , Sergey Samsonov

Predictive coding (PC) is an influential computational model of visual learning and inference in the brain. Classical PC was proposed as a top-down generative model, where the brain actively predicts upcoming visual inputs, and inference…

Machine Learning · Computer Science 2025-12-18 Gaspard Oliviers , Mufeng Tang , Rafal Bogacz

Inspired by "predictive coding" - a theory in neuroscience, we develop a bi-directional and dynamic neural network with local recurrent processing, namely predictive coding network (PCN). Unlike feedforward-only convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Kuan Han , Haiguang Wen , Yizhen Zhang , Di Fu , Eugenio Culurciello , Zhongming Liu

Probabilistic circuits (PCs) are powerful probabilistic models that enable exact and tractable inference, making them highly suitable for probabilistic reasoning and inference tasks. While dominant in neural networks, representation…

Machine Learning · Computer Science 2025-07-29 Steven Braun , Sahil Sidheekh , Antonio Vergari , Martin Mundt , Sriraam Natarajan , Kristian Kersting

DiffEqFlux.jl is a library for fusing neural networks and differential equations. In this work we describe differential equations from the viewpoint of data science and discuss the complementary nature between machine learning models and…

Machine Learning · Computer Science 2019-02-08 Chris Rackauckas , Mike Innes , Yingbo Ma , Jesse Bettencourt , Lyndon White , Vaibhav Dixit

Predictive coding (PC) is a brain-inspired local learning algorithm that has recently been suggested to provide advantages over backpropagation (BP) in biologically relevant scenarios. While theoretical work has mainly focused on showing…

Neural and Evolutionary Computing · Computer Science 2023-06-01 Francesco Innocenti , Ryan Singh , Christopher L. Buckley

OpenReservoirComputing (ORC) is a Python library for reservoir computing (RC) written in JAX (Bradbury et al. 2018) and Equinox (Kidger and Garcia 2021). JAX is a Python library for high-performance numerical computing that enables…

Machine Learning · Computer Science 2026-03-17 Jan Williams , Dima Tretiak , Steven L. Brunton , J. Nathan Kutz , Krithika Manohar

Understanding shock-solid interactions remains a central challenge in compressiblefluiddynamics. WepresentJAX-Shock: afully-differentiable,GPU-accelerated, high-order shock-capturing solver for efficient simulation of the compressible…

Fluid Dynamics · Physics 2026-01-09 Bo Zhang

Predictive Coding (PC) is an influential account of cortical learning. Much of recent work has focused on comparing PC to Backpropagation (BP) to find whether PC offers any advantages. Small scale experiments show that PC enables learning…

Machine Learning · Computer Science 2026-05-13 Gaspard Oliviers , Elene Lominadze , Rafal Bogacz

Bayesian models of cognition have gained considerable traction in computational neuroscience and psychiatry. Their scopes are now expected to expand rapidly to artificial intelligence, providing general inference frameworks to support…

Neural and Evolutionary Computing · Computer Science 2025-08-07 Nicolas Legrand , Lilian Weber , Peter Thestrup Waade , Anna Hedvig Møller Daugaard , Mojtaba Khodadadi , Nace Mikuš , Chris Mathys

Backpropagation has rapidly become the workhorse credit assignment algorithm for modern deep learning methods. Recently, modified forms of predictive coding (PC), an algorithm with origins in computational neuroscience, have been shown to…

Neural and Evolutionary Computing · Computer Science 2023-04-07 Umais Zahid , Qinghai Guo , Zafeirios Fountas