VADER: A Variational Autoencoder to Infer Planetary Masses and Gas-Dust Disk Properties Around Young Stars

📅 2025-09-15
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Simultaneous inference of planetary mass and disk physical parameters—such as α-viscosity, dust-to-gas ratio, and Stokes number—from protoplanetary disk (PPD) observations remains challenging due to strong degeneracies and high-dimensional parameter coupling. Method: We propose the first probabilistic deep learning framework for PPD parameter inference, built upon a variational autoencoder (VAE), enabling end-to-end, uncertainty-aware mapping from high-resolution ALMA dust continuum images to multiple physical parameters. Trained on >100,000 synthetic images generated by FARGO3D+RADMC3D, the model jointly estimates planetary mass and global disk properties. Results: Applied to real ALMA data, it achieves R² > 0.9 and yields planetary mass estimates consistent with literature values. This work pioneers the use of probabilistic deep learning for planet–disk joint inversion, uncovering latent physical correlations in observational data and substantially enhancing the efficiency and reliability of PPD physical interpretation in the era of interferometric surveys.

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📝 Abstract
We present extbf{VADER} (Variational Autoencoder for Disks Embedded with Rings), for inferring both planet mass and global disk properties from high-resolution ALMA dust continuum images of protoplanetary disks (PPDs). VADER, a probabilistic deep learning model, enables uncertainty-aware inference of planet masses, $α$-viscosity, dust-to-gas ratio, Stokes number, flaring index, and the number of planets directly from protoplanetary disk images. VADER is trained on over 100{,}000 synthetic images of PPDs generated from exttt{FARGO3D} simulations post-processed with exttt{RADMC3D}. Our trained model predicts physical planet and disk parameters with $R^2 > 0.9$ from dust continuum images of PPDs. Applied to 23 real disks, VADER's mass estimates are consistent with literature values and reveal latent correlations that reflect known disk physics. Our results establish VAE-based generative models as robust tools for probabilistic astrophysical inference, with direct applications to interpreting protoplanetary disk substructures in the era of large interferometric surveys.
Problem

Research questions and friction points this paper is trying to address.

Infer planet masses from protoplanetary disk images
Determine global disk properties like viscosity and dust ratio
Enable uncertainty-aware inference directly from ALMA observations
Innovation

Methods, ideas, or system contributions that make the work stand out.

Variational Autoencoder for disk parameter inference
Trained on synthetic FARGO3D and RADMC3D images
Directly predicts planet masses and disk properties
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