Search Results for author: Peter Y. Lu

Found 10 papers, 7 papers with code

Multimodal Learning for Materials

no code implementations30 Nov 2023 Viggo Moro, Charlotte Loh, Rumen Dangovski, Ali Ghorashi, Andrew Ma, Zhuo Chen, Samuel Kim, Peter Y. Lu, Thomas Christensen, Marin Soljačić

Artificial intelligence is transforming computational materials science, improving the prediction of material properties, and accelerating the discovery of novel materials.

Property Prediction

Deep Stochastic Mechanics

2 code implementations31 May 2023 Elena Orlova, Aleksei Ustimenko, Ruoxi Jiang, Peter Y. Lu, Rebecca Willett

This paper introduces a novel deep-learning-based approach for numerical simulation of a time-evolving Schr\"odinger equation inspired by stochastic mechanics and generative diffusion models.

Model Stitching: Looking For Functional Similarity Between Representations

no code implementations20 Mar 2023 Adriano Hernandez, Rumen Dangovski, Peter Y. Lu, Marin Soljacic

Model stitching (Lenc & Vedaldi 2015) is a compelling methodology to compare different neural network representations, because it allows us to measure to what degree they may be interchanged.

Q-Flow: Generative Modeling for Differential Equations of Open Quantum Dynamics with Normalizing Flows

no code implementations23 Feb 2023 Owen Dugan, Peter Y. Lu, Rumen Dangovski, Di Luo, Marin Soljačić

Studying the dynamics of open quantum systems can enable breakthroughs both in fundamental physics and applications to quantum engineering and quantum computation.

Discovering Conservation Laws using Optimal Transport and Manifold Learning

1 code implementation31 Aug 2022 Peter Y. Lu, Rumen Dangovski, Marin Soljačić

We test this new approach on a variety of physical systems and demonstrate that our method is able to both identify the number of conserved quantities and extract their values.

Deep Learning and Symbolic Regression for Discovering Parametric Equations

1 code implementation1 Jul 2022 Michael Zhang, Samuel Kim, Peter Y. Lu, Marin Soljačić

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery.

BIG-bench Machine Learning regression +1

Discovering Sparse Interpretable Dynamics from Partial Observations

1 code implementation22 Jul 2021 Peter Y. Lu, Joan Ariño, Marin Soljačić

Identifying the governing equations of a nonlinear dynamical system is key to both understanding the physical features of the system and constructing an accurate model of the dynamics that generalizes well beyond the available data.

Deep Learning for Bayesian Optimization of Scientific Problems with High-Dimensional Structure

2 code implementations23 Apr 2021 Samuel Kim, Peter Y. Lu, Charlotte Loh, Jamie Smith, Jasper Snoek, Marin Soljačić

Bayesian optimization (BO) is a popular paradigm for global optimization of expensive black-box functions, but there are many domains where the function is not completely a black-box.

Bayesian Optimization Gaussian Processes

Integration of Neural Network-Based Symbolic Regression in Deep Learning for Scientific Discovery

1 code implementation10 Dec 2019 Samuel Kim, Peter Y. Lu, Srijon Mukherjee, Michael Gilbert, Li Jing, Vladimir Čeperić, Marin Soljačić

We find that the EQL-based architecture can extrapolate quite well outside of the training data set compared to a standard neural network-based architecture, paving the way for deep learning to be applied in scientific exploration and discovery.

Explainable Models regression +1

Extracting Interpretable Physical Parameters from Spatiotemporal Systems using Unsupervised Learning

1 code implementation13 Jul 2019 Peter Y. Lu, Samuel Kim, Marin Soljačić

Our method for discovering interpretable latent parameters in spatiotemporal systems will allow us to better analyze and understand real-world phenomena and datasets, which often have unknown and uncontrolled variables that alter the system dynamics and cause varying behaviors that are difficult to disentangle.

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