Interferometric Image Reconstruction using Closure Invariants and Machine Learning
arXiv:2311.06349 · doi:10.1093/rasti/rzae031
Abstract
Interferometric closure invariants encode calibration-independent details of an object's morphology. Excepting simple cases, a direct backward transformation from closure invariants to morphologies is not well established. We demonstrate using simple Machine Learning models that closure invariants can aid in morphological classification and parameter estimation. We consider six phenomenologically parametrised morphologies: point-like, uniform circular disc, crescent, dual disc, crescent with elliptical accretion disc, and crescent with double jet lobes. Using logistic regression (LR), multi-layer perceptron (MLP), and random forest models on closure invariants obtained from a sparsely covered aperture, we find that all methods except LR can classify morphologies with 80% accuracy, which improves with greater aperture coverage. Separately from the classification problem, given an independently confirmed class, we estimate parameters of uniform circular disc, crescent, and dual disc morphologies using simple MLP models, and parametrically reconstruct images. The estimated parameters and images correspond well with inputs, but the accuracy worsens when degeneracies between parameters are present. This independent approach to interferometric imaging under challenging observing conditions such as that faced by the Event Horizon Telescope and Very Long Baseline Interferometry in general can complement other methods in robustly constraining an object's morphology.
Published in RAS Techniques and Instruments (RASTI) special edition "Next-Generation Interferometric Image Reconstruction". 17 pages including appendix, 38 figures grouped into 13 captioned figures
References in corpus (27)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
- First M87 Event Horizon Telescope Results. II. Array and Instrumentation
- First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
- First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
- Universal Interferometric Signatures of a Black Hole's Photon Ring
- Interferometric Imaging Directly with Closure Phases and Closure Amplitudes
- Evidence for Low Black Hole Spin and Physically Motivated Accretion Models from Millimeter VLBI Observations of Sagittarius A*
- Variable structures in M87* from space, time and frequency resolved interferometry
- The Photon Ring in M87*
- Closure statistics in interferometric data
- The ALMA Phasing System: A Beamforming Capability for Ultra-High-Resolution Science at (Sub)Millimeter Wavelengths
- The Image of the M87 Black Hole Reconstructed with PRIMO
- The Intrinsic Shape of Sagittarius A* at 3.5-mm Wavelength
- Closure Traces: Novel Calibration-Insensitive Quantities for Radio Astronomy
- First 230 GHz VLBI Fringes on 3C 279 using the APEX Telescope
- The jet and resolved features of the central supermassive black hole of M 87 observed with EHT
- alpha-Deep Probabilistic Inference (alpha-DPI): efficient uncertainty quantification from exoplanet astrometry to black hole feature extraction
- Invariants in Co-polar Interferometry: an Abelian Gauge Theory
- Invariants in Polarimetric Interferometry: a non-Abelian Gauge Theory
- Polarimetric Geometric Modeling for mm-VLBI Observations of Black Holes
- A Geometric View of Closure Phases in Interferometry
- GALLIFRAY -- A geometric modeling and parameter estimation framework for black hole images using bayesian techniques