A survey of probabilistic generative frameworks for molecular simulations
- URL: http://arxiv.org/abs/2411.09388v1
- Date: Thu, 14 Nov 2024 12:05:08 GMT
- Title: A survey of probabilistic generative frameworks for molecular simulations
- Authors: Richard John, Lukas Herron, Pratyush Tiwary,
- Abstract summary: Generative artificial intelligence is now a widely used tool in molecular science.
We introduce and explain several classes of generative models, broadly sorted into two categories: flow-based models and diffusion models.
We examine their accuracy, computational cost, and generation speed across datasets with tunable dimensionality, complexity, and modal asymmetry.
- Score: 0.0
- License:
- Abstract: Generative artificial intelligence is now a widely used tool in molecular science. Despite the popularity of probabilistic generative models, numerical experiments benchmarking their performance on molecular data are lacking. In this work, we introduce and explain several classes of generative models, broadly sorted into two categories: flow-based models and diffusion models. We select three representative models: Neural Spline Flows, Conditional Flow Matching, and Denoising Diffusion Probabilistic Models, and examine their accuracy, computational cost, and generation speed across datasets with tunable dimensionality, complexity, and modal asymmetry. Our findings are varied, with no one framework being the best for all purposes. In a nutshell, (i) Neural Spline Flows do best at capturing mode asymmetry present in low-dimensional data, (ii) Conditional Flow Matching outperforms other models for high-dimensional data with low complexity, and (iii) Denoising Diffusion Probabilistic Models appears the best for low-dimensional data with high complexity. Our datasets include a Gaussian mixture model and the dihedral torsion angle distribution of the Aib\textsubscript{9} peptide, generated via a molecular dynamics simulation. We hope our taxonomy of probabilistic generative frameworks and numerical results may guide model selection for a wide range of molecular tasks.
Related papers
- MING: A Functional Approach to Learning Molecular Generative Models [46.189683355768736]
This paper introduces a novel paradigm for learning molecule generative models based on functional representations.
We propose Molecular Implicit Neural Generation (MING), a diffusion-based model that learns molecular distributions in function space.
arXiv Detail & Related papers (2024-10-16T13:02:02Z) - Diffusion posterior sampling for simulation-based inference in tall data settings [53.17563688225137]
Simulation-based inference ( SBI) is capable of approximating the posterior distribution that relates input parameters to a given observation.
In this work, we consider a tall data extension in which multiple observations are available to better infer the parameters of the model.
We compare our method to recently proposed competing approaches on various numerical experiments and demonstrate its superiority in terms of numerical stability and computational cost.
arXiv Detail & Related papers (2024-04-11T09:23:36Z) - Uncertainty-aware Surrogate Models for Airfoil Flow Simulations with Denoising Diffusion Probabilistic Models [26.178192913986344]
We make a first attempt to use denoising diffusion probabilistic models (DDPMs) to train an uncertainty-aware surrogate model for turbulence simulations.
Our results show DDPMs can successfully capture the whole distribution of solutions and, as a consequence, accurately estimate the uncertainty of the simulations.
We also evaluate an emerging generative modeling variant, flow matching, in comparison to regular diffusion models.
arXiv Detail & Related papers (2023-12-08T19:04:17Z) - Geometric Neural Diffusion Processes [55.891428654434634]
We extend the framework of diffusion models to incorporate a series of geometric priors in infinite-dimension modelling.
We show that with these conditions, the generative functional model admits the same symmetry.
arXiv Detail & Related papers (2023-07-11T16:51:38Z) - Variational Autoencoding Molecular Graphs with Denoising Diffusion
Probabilistic Model [0.0]
We propose a novel deep generative model that incorporates a hierarchical structure into the probabilistic latent vectors.
We demonstrate that our model can design effective molecular latent vectors for molecular property prediction from some experiments by small datasets on physical properties and activity.
arXiv Detail & Related papers (2023-07-02T17:29:41Z) - Capturing dynamical correlations using implicit neural representations [85.66456606776552]
We develop an artificial intelligence framework which combines a neural network trained to mimic simulated data from a model Hamiltonian with automatic differentiation to recover unknown parameters from experimental data.
In doing so, we illustrate the ability to build and train a differentiable model only once, which then can be applied in real-time to multi-dimensional scattering data.
arXiv Detail & Related papers (2023-04-08T07:55:36Z) - Calibration and generalizability of probabilistic models on low-data
chemical datasets with DIONYSUS [0.0]
We perform an extensive study of the calibration and generalizability of probabilistic machine learning models on small chemical datasets.
We analyse the quality of their predictions and uncertainties in a variety of tasks (binary, regression) and datasets.
We offer practical insights into model and feature choice for modelling small chemical datasets, a common scenario in new chemical experiments.
arXiv Detail & Related papers (2022-12-03T08:19:06Z) - Mixed Effects Neural ODE: A Variational Approximation for Analyzing the
Dynamics of Panel Data [50.23363975709122]
We propose a probabilistic model called ME-NODE to incorporate (fixed + random) mixed effects for analyzing panel data.
We show that our model can be derived using smooth approximations of SDEs provided by the Wong-Zakai theorem.
We then derive Evidence Based Lower Bounds for ME-NODE, and develop (efficient) training algorithms.
arXiv Detail & Related papers (2022-02-18T22:41:51Z) - Closed-form Continuous-Depth Models [99.40335716948101]
Continuous-depth neural models rely on advanced numerical differential equation solvers.
We present a new family of models, termed Closed-form Continuous-depth (CfC) networks, that are simple to describe and at least one order of magnitude faster.
arXiv Detail & Related papers (2021-06-25T22:08:51Z) - Learning Neural Generative Dynamics for Molecular Conformation
Generation [89.03173504444415]
We study how to generate molecule conformations (textiti.e., 3D structures) from a molecular graph.
We propose a novel probabilistic framework to generate valid and diverse conformations given a molecular graph.
arXiv Detail & Related papers (2021-02-20T03:17:58Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.