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Mathematical models in neural networks are powerful tools for solving complex differential equations and optimizing their parameters; that is, solving the forward and inverse problems, respectively. A forward problem predicts the output of…

Machine Learning · Computer Science 2025-07-29 Aarush Gupta , Kendric Hsu , Syna Mathod

Solving massive-scale optimization problems requires scalable first-order methods with low per-iteration cost. This tutorial highlights a shift in optimization: using differentiable programming not only to execute algorithms but to learn…

Mathematical Software · Computer Science 2026-03-02 Liping Tao , Xindi Tong , Chee Wei Tan

Deep-learning-based models are increasingly used to emulate scientific simulations to accelerate scientific research. However, accurate, supervised deep learning models require huge amount of labelled data, and that often becomes the…

Machine Learning · Computer Science 2022-01-11 Yi Heng Lim , Muhammad Firmansyah Kasim

The software tool GRworkbench is an ongoing project in visual, numerical General Relativity at The Australian National University. Recently, GRworkbench has been significantly extended to facilitate numerical experimentation in…

General Relativity and Quantum Cosmology · Physics 2016-11-09 A. Moylan , S. M. Scott , A. C. Searle

DORAEMON is an open-source PyTorch library that unifies visual object modeling and representation learning across diverse scales. A single YAML-driven workflow covers classification, retrieval and metric learning; more than 1000 pretrained…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Ke Du , Yimin Peng , Chao Gao , Fan Zhou , Siqiao Xue

Reinforcement learning (RL) algorithms involve the deep nesting of highly irregular computation patterns, each of which typically exhibits opportunities for distributed computation. We argue for distributing RL components in a composable…

Artificial Intelligence · Computer Science 2018-07-02 Eric Liang , Richard Liaw , Philipp Moritz , Robert Nishihara , Roy Fox , Ken Goldberg , Joseph E. Gonzalez , Michael I. Jordan , Ion Stoica

The physics solvers employed for neural network training are primarily iterative, and hence, differentiating through them introduces a severe computational burden as iterations grow large. Inspired by works in bilevel optimization, we show…

Machine Learning · Computer Science 2025-11-14 Kanishk Bhatia , Felix Koehler , Nils Thuerey

With the growth of large language models, now incorporating billions of parameters, the hardware prerequisites for their training and deployment have seen a corresponding increase. Although existing tools facilitate model parallelization…

Machine Learning · Computer Science 2023-12-07 Matthew Choi , Muhammad Adil Asif , John Willes , David Emerson

Simulated virtual environments serve as one of the main driving forces behind developing and evaluating skill learning algorithms. However, existing environments typically only simulate rigid body physics. Additionally, the simulation…

Machine Learning · Computer Science 2021-04-08 Zhiao Huang , Yuanming Hu , Tao Du , Siyuan Zhou , Hao Su , Joshua B. Tenenbaum , Chuang Gan

Accurate and efficient simulation tools are essential in robotics, enabling the visualization of system dynamics and the validation of control laws before committing resources to physical experimentation. Developing physically accurate…

Robotics · Computer Science 2025-08-12 Radha Lahoti , M. Khalid Jawed

Although recent scaling up approaches to training deep neural networks have proven to be effective, the computational intensity of large and complex models, as well as the availability of large-scale datasets, require deep learning…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Bita Hasheminezhad , Shahrzad Shirzad , Nanmiao Wu , Patrick Diehl , Hannes Schulz , Hartmut Kaiser

Numerical simulations provide key insights into many physical, real-world problems. However, while these simulations are solved on a full 3D domain, most analysis only require a reduced set of metrics (e.g. plane-level concentrations). This…

Computational Physics · Physics 2025-11-27 Tingkai Xue , Chin Chun Ooi , Zhengwei Ge , Fong Yew Leong , Hongying Li , Chang Wei Kang

We develop a framework for combining differentiable programming languages with neural networks. Using this framework we create end-to-end trainable systems that learn to write interpretable algorithms with perceptual components. We explore…

Machine Learning · Computer Science 2017-03-03 Alexander L. Gaunt , Marc Brockschmidt , Nate Kushman , Daniel Tarlow

In this work, we present {\ae}net-PyTorch, a PyTorch-based implementation for training artificial neural network-based machine learning interatomic potentials. Developed as an extension of the atomic energy network ({\ae}net),…

Disordered Systems and Neural Networks · Physics 2023-05-10 Jon Lopez-Zorrilla , Xabier M. Aretxabaleta , Inwon Yue , Inigo Etxebarria , Hegoi Manzano , Nongnuch Artrith

The research in Artificial Intelligence methods with potential applications in science has become an essential task in the scientific community last years. Physics Informed Neural Networks (PINNs) is one of this methods and represent a…

Computational Physics · Physics 2023-07-24 Luis Medrano Navarro , Luis Martín Moreno , Sergio G Rodrigo

Differentiable programming is the combination of classical neural networks modules with algorithmic ones in an end-to-end differentiable model. These new models, that use automatic differentiation to calculate gradients, have new learning…

Dynamical Systems · Mathematics 2020-05-05 Adrián Hernández , José M. Amigó

Reinforcement Learning (RL) can enable agents to learn complex tasks. However, it is difficult to interpret the knowledge and reuse it across tasks. Inductive biases can address such issues by explicitly providing generic yet useful…

Artificial Intelligence · Computer Science 2022-12-13 Thomas Schnürer , Malte Probst , Horst-Michael Gross

Compartment models of cell culture are widely used in cytology, pharmacology, toxicology and other fields. Numerical simulation, data modeling and prediction of compartment models can be realized by traditional differential equation…

Quantitative Methods · Quantitative Biology 2022-06-13 Jiahao Ma

Simulating quantum circuits using classical computers lets us analyse the inner workings of quantum algorithms. The most complete type of simulation, strong simulation, is believed to be generally inefficient. Nevertheless, several…

Quantum Physics · Physics 2013-02-25 T. H. Johnson , J. D. Biamonte , S. R. Clark , D. Jaksch

Density-functional theory is a formally exact description of a many-body quantum system in terms of its density; in practice, however, approximations to the universal density functional are required. In this work, a model based on deep…

Computational Physics · Physics 2016-08-02 Jeffrey M. McMahon