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JAX, M.D.: A Framework for Differentiable Physics (1912.04232v2)

Published 9 Dec 2019 in physics.comp-ph, cond-mat.mtrl-sci, cond-mat.soft, and stat.ML

Abstract: 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 that can be integrated into these environments without writing any additional code. Since the simulations themselves are differentiable functions, entire trajectories can be differentiated to perform meta-optimization. These features are built on primitive operations, such as spatial partitioning, that allow simulations to scale to hundreds-of-thousands of particles on a single GPU. These primitives are flexible enough that they can be used to scale up workloads outside of molecular dynamics. We present several examples that highlight the features of JAX MD including: integration of graph neural networks into traditional simulations, meta-optimization through minimization of particle packings, and a multi-agent flocking simulation. JAX MD is available at www.github.com/google/jax-md.

Citations (36)

Summary

  • The paper introduces JAX MD as a differentiable framework that integrates machine learning with molecular dynamics simulations.
  • It leverages JAX for automatic differentiation and just-in-time compilation, achieving efficient GPU performance for small systems.
  • JAX MD demonstrates versatility through applications like neural network potentials and energy-based flocking, paving the way for future research.

JAX MD: A Differentiable Framework for Molecular Dynamics

The intersection of machine learning and physics has seen significant advancements in recent years, yet it faces a critical inefficiency: the integration of machine learning models within classical simulation environments remains arduous. This paper introduces JAX MD, a software package designed to alleviate such challenges by providing a framework for differentiable physics simulations with a focus on molecular dynamics (MD). Developed to leverage the JAX ecosystem, JAX MD offers an efficient, flexible platform that seamlessly integrates with machine learning paradigms.

Architecture and Features

JAX MD is architected to embrace a functional and data-driven paradigm, distinct from traditional object-oriented approaches prevalent in physics simulations. The framework's core primitives, such as spatial partitioning, allow for scalable simulations involving hundreds of thousands of particles on a single GPU. It further benefits from just-in-time compilation and automatic differentiation via JAX, aiding both performance and optimization.

JAX MD enables the integration of neural networks and offers tools for visualization, aligning with the demands of contemporary research. The package includes standard simulation environments, interaction potentials, and provides ready-to-use neural network architectures. This allows for the integration of state-of-the-art models without additional complexity, streamlining the workflow for researchers at the crossroads of physics and machine learning.

Performance and Benchmarks

The paper presents performance benchmarks comparing JAX MD to established MD packages, LAMMPS and HOOMD-Blue, using Lennard-Jones particle simulations. Although JAX MD performs competitively for small systems on GPUs, a slowdown is observed for larger systems, particularly on CPUs. The potential for performance improvements on alternative hardware like TPUs suggests room for future development. However, the inherent flexibility and productivity offered by JAX MD often outweigh these performance discrepancies.

Practical Applications

The utility of JAX MD is demonstrated through several vignettes. Firstly, neural network potentials are trained to replicate quantum mechanical energies, yielding models that perform efficiently at scales unattainable by traditional methods. Secondly, differentiating through simulations is showcased as a method for meta-optimization, specifically in particle packing scenarios. Lastly, an energy-based flocking simulation leverages JAX MD’s primitives to model complex multi-agent behaviors. Each example underscores the adaptability of JAX MD in addressing diverse research problems.

Implications and Future Directions

JAX MD holds significant implications for the field of AI-driven physical simulations. It provides a pragmatic tool for researchers aiming to synthesize insights from machine learning and physics simulations. The framework’s differentiability not only facilitates gradient-based inference and optimization but also invites further exploration into meta-learning and evolutionary algorithms.

Future advancements may focus on optimizing JAX MD for different computational backends, improving integration with larger-scale models, and expanding its applicability to other domains within the physical sciences. As researchers continue to push the boundaries of AI and physics collaborations, tools like JAX MD become indispensable in bridging conceptual and computational gaps.

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