Discovering physical concepts with neural networks
arXiv:1807.10300 · doi:10.1103/PhysRevLett.124.010508
Abstract
Despite the success of neural networks at solving concrete physics problems, their use as a general-purpose tool for scientific discovery is still in its infancy. Here, we approach this problem by modelling a neural network architecture after the human physical reasoning process, which has similarities to representation learning. This allows us to make progress towards the long-term goal of machine-assisted scientific discovery from experimental data without making prior assumptions about the system. We apply this method to toy examples and show that the network finds the physically relevant parameters, exploits conservation laws to make predictions, and can help to gain conceptual insights, e.g. Copernicus' conclusion that the solar system is heliocentric.
arXiv comment4 pages main text + 11 pages appendix, changes since v2: improved references and presentation
References in corpus (41)
- Auto-Encoding Variational Bayes
- Discovering governing equations from data: Sparse identification of nonlinear dynamical systems
- The information bottleneck method
- Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)
- Solving the Quantum Many-Body Problem with Artificial Neural Networks
- Deep learning for universal linear embeddings of nonlinear dynamics
- Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations
- Many-body quantum state tomography with neural networks
- Opening the Black Box of Deep Neural Networks via Information
- Disentangling by Factorising
- Interaction Networks for Learning about Objects, Relations and Physics
- Quantum Entanglement in Neural Network States
- Efficient Representation of Quantum Many-body States with Deep Neural Networks
- Restricted-Boltzmann-Machine Learning for Solving Strongly Correlated Quantum Systems
- Reconstructing quantum states with generative models
- Active learning machine learns to create new quantum experiments
- Machine Learning Topological States
- Learning Thermodynamics with Boltzmann Machines
- Automated Search for new Quantum Experiments
- Approximating quantum many-body wave-functions using artificial neural networks
- Neural-Network Quantum States, String-Bond States, and Chiral Topological States
- Learning New Physics from a Machine
- Mutual Information, Neural Networks and the Renormalization Group
- A Compositional Object-Based Approach to Learning Physical Dynamics
- Constructing exact representations of quantum many-body systems with deep neural networks
- Guiding New Physics Searches with Unsupervised Learning
- A Disentangled Recognition and Nonlinear Dynamics Model for Unsupervised Learning
- Toward an AI Physicist for Unsupervised Learning
- Learning Koopman Invariant Subspaces for Dynamic Mode Decomposition
- Learning hard quantum distributions with variational autoencoders
- Discovering objects and their relations from entangled scene representations
- Neural network representation of tensor network and chiral states
- Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions
- Learning phase transitions from dynamics
- Extracting dynamical equations from experimental data is NP-hard
- Quantum dynamics in transverse-field Ising models from classical networks
- Automated discovery of characteristic features of phase transitions in many-body localization
- Unsupervised Learning of Latent Physical Properties Using Perception-Prediction Networks
- QuCumber: wavefunction reconstruction with neural networks
- Comment on the article "Distilling free-form natural laws from experimental data"
- Autoencoding topology
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