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Even though neural networks enjoy widespread use, they still struggle to learn the basic laws of physics. How might we endow them with better inductive biases? In this paper, we draw inspiration from Hamiltonian mechanics to train models…

神经与进化计算 · 计算机科学 2019-09-06 Sam Greydanus , Misko Dzamba , Jason Yosinski

In this paper we present a world model, which learns causal features using the invariance principle. In particular, we use contrastive unsupervised learning to learn the invariant causal features, which enforces invariance across…

机器学习 · 计算机科学 2022-09-30 Rudra P. K. Poudel , Harit Pandya , Roberto Cipolla

Many important physical systems can be described as the evolution of a Hamiltonian system, which has the important property of being conservative, that is, energy is conserved throughout the evolution. Physics Informed Neural Networks and…

机器学习 · 计算机科学 2025-12-10 Harsh Choudhary , Chandan Gupta , Vyacheslav Kungurtsev , Melvin Leok , Georgios Korpas

Inductive bias refers to restrictions on the hypothesis class that enable a learning method to generalize effectively from limited data. A canonical example in control is linearity, which underpins low sample-complexity guarantees for…

最优化与控制 · 数学 2026-04-21 Zhuo Ouyang , Jixian Liu , Enrique Mallada

One's ability to learn a generative model of the world without supervision depends on the extent to which one can construct abstract knowledge representations that generalize across experiences. To this end, capturing an accurate…

机器学习 · 计算机科学 2021-10-28 Zahra Sheikhbahaee , Dongshu Luo , Blake VanBerlo , S. Alex Yun , Adam Safron , Jesse Hoey

The dynamics of physical systems is often constrained to lower dimensional sub-spaces due to the presence of conserved quantities. Here we propose a method to learn and exploit such symmetry constraints building upon Hamiltonian Neural…

机器学习 · 计算机科学 2021-04-30 Marc Syvaeri , Sven Krippendorf

The solution of problems in physics is often facilitated by a change of variables. In this work we present neural transformations to learn symmetries of Hamiltonian mechanical systems. Maintaining the Hamiltonian structure requires novel…

计算物理 · 物理学 2019-06-12 Roberto Bondesan , Austen Lamacraft

Model generalization of the underlying dynamics is critical for achieving data efficiency when learning for robot control. This paper proposes a novel approach for learning dynamics leveraging the symmetry in the underlying robotic system,…

机器人学 · 计算机科学 2022-10-17 Jee-eun Lee , Jaemin Lee , Tirthankar Bandyopadhyay , Luis Sentis

In the face of difficult exploration problems in reinforcement learning, we study whether giving an agent an object-centric mapping (describing a set of items and their attributes) allow for more efficient learning. We found this problem is…

机器学习 · 计算机科学 2025-04-15 Anthony GX-Chen , Kenneth Marino , Rob Fergus

Exploration is a prerequisite for learning useful behaviors in sparse-reward, long-horizon tasks, particularly within 3D environments. Curiosity-driven reinforcement learning addresses this via intrinsic rewards derived from the mismatch…

机器学习 · 计算机科学 2026-05-22 Lily Goli , Justin Kerr , Daniele Reda , Alec Jacobson , Andrea Tagliasacchi , Angjoo Kanazawa

Hamiltonian systems are differential equations which describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation…

数值分析 · 数学 2022-01-14 Christian Offen , Sina Ober-Blöbaum

World models have recently re-emerged as a central paradigm for embodied intelligence, robotics, autonomous driving, and model-based reinforcement learning. However, current world model research is often dominated by three partially…

人工智能 · 计算机科学 2026-05-27 Sen Cui , Jingheng Ma

Physics-inspired neural networks (NNs), such as Hamiltonian or Lagrangian NNs, dramatically outperform other learned dynamics models by leveraging strong inductive biases. These models, however, are challenging to apply to many real world…

机器学习 · 计算机科学 2022-02-15 Nate Gruver , Marc Finzi , Samuel Stanton , Andrew Gordon Wilson

World models built on recurrent state space architectures enable efficient latent imagination, yet remain physically unstructured, producing dynamics that violate conservation and dissipative principles. We introduce a unified…

机器学习 · 计算机科学 2026-05-19 Xueyu Luan , Chenwei Shi

In this work we consider partially observable environments with sparse rewards. We present a self-supervised representation learning method for image-based observations, which arranges embeddings respecting temporal distance of…

机器学习 · 计算机科学 2020-10-07 Aleksandr Ermolov , Nicu Sebe

It has been a long-standing dream to design artificial agents that explore their environment efficiently via intrinsic motivation, similar to how children perform curious free play. Despite recent advances in intrinsically motivated…

机器学习 · 计算机科学 2022-11-29 Cansu Sancaktar , Sebastian Blaes , Georg Martius

The past few years have witnessed an increased interest in learning Hamiltonian dynamics in deep learning frameworks. As an inductive bias based on physical laws, Hamiltonian dynamics endow neural networks with accurate long-term…

机器学习 · 计算机科学 2022-03-02 Zhijie Chen , Mingquan Feng , Junchi Yan , Hongyuan Zha

Effective exploration in reinforcement learning requires not only tracking where an agent has been, but also understanding how the agent perceives and represents the world. To learn powerful representations, an agent should actively explore…

机器学习 · 计算机科学 2026-04-21 Faisal Mohamed , Catherine Ji , Benjamin Eysenbach , Glen Berseth

Representation learning is a fundamental task in machine learning, aiming at uncovering structures from data to facilitate subsequent tasks. However, what is a good representation for planning and reasoning in a stochastic world remains an…

机器学习 · 计算机科学 2024-03-19 Meng Song

Consider a reinforcement learning problem where an agent has access to a very large amount of information about the environment, but it can only take very few actions to accomplish its task and to maximize its reward. Evidently, the main…

机器学习 · 计算机科学 2023-01-26 Nikola Andrejic , Vitaly Vanchurin
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