Analysing the SEDs of protoplanetary disks with machine learning
- URL: http://arxiv.org/abs/2302.04629v1
- Date: Thu, 9 Feb 2023 13:32:47 GMT
- Title: Analysing the SEDs of protoplanetary disks with machine learning
- Authors: T. Kaeufer, P. Woitke, M. Min, I. Kamp, C. Pinte
- Abstract summary: One radiative transfer model requires a couple of minutes to compute.
We created neural networks (NNs) to emulate the SED generation process.
NNs are able to predict SEDs within 1ms with uncertainties of about 5%.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: ABRIDGED. The analysis of spectral energy distributions (SEDs) of
protoplanetary disks to determine their physical properties is known to be
highly degenerate. Hence, a Bayesian analysis is required to obtain parameter
uncertainties and degeneracies. The challenge here is computational speed, as
one radiative transfer model requires a couple of minutes to compute. We
performed a Bayesian analysis for 30 well-known protoplanetary disks to
determine their physical disk properties, including uncertainties and
degeneracies. To circumvent the computational cost problem, we created neural
networks (NNs) to emulate the SED generation process. We created two sets of
radiative transfer disk models to train and test two NNs that predict SEDs for
continuous and discontinuous disks. A Bayesian analysis was then performed on
30 protoplanetary disks with SED data collected by the DIANA project to
determine the posterior distributions of all parameters. We ran this analysis
twice, (i) with old distances and additional parameter constraints as used in a
previous study, to compare results, and (ii) with updated distances and free
choice of parameters to obtain homogeneous and unbiased model parameters. We
evaluated the uncertainties in the determination of physical disk parameters
from SED analysis, and detected and quantified the strongest degeneracies. The
NNs are able to predict SEDs within 1ms with uncertainties of about 5% compared
to the true SEDs obtained by the radiative transfer code. We find parameter
values and uncertainties that are significantly different from previous values
obtained by $\chi^2$ fitting. Comparing the global evidence for continuous and
discontinuous disks, we find that 26 out of 30 objects are better described by
disks that have two distinct radial zones. Also, we created an interactive tool
that instantly returns the SED predicted by our NNs for any parameter
combination.
Related papers
- Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing [0.0]
Recently, perfect measurement based on spatial mode demultiplexing (SPADE) in Hermite-Gauss modes allowed one to reach the quantum limit of precision for estimation of separation between two weak incoherent stationary sources.
In this paper, we consider another deviation from the perfect setup by discarding the assumption about the stationarity of the sources.
We formulate a measurement algorithm that allows for the reduction of one parameter for estimation in the stationary sources scenario.
arXiv Detail & Related papers (2024-07-15T07:57:57Z) - 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) - 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) - Inverting brain grey matter models with likelihood-free inference: a
tool for trustable cytoarchitecture measurements [62.997667081978825]
characterisation of the brain grey matter cytoarchitecture with quantitative sensitivity to soma density and volume remains an unsolved challenge in dMRI.
We propose a new forward model, specifically a new system of equations, requiring a few relatively sparse b-shells.
We then apply modern tools from Bayesian analysis known as likelihood-free inference (LFI) to invert our proposed model.
arXiv Detail & Related papers (2021-11-15T09:08:27Z) - Probabilistic Inference of Simulation Parameters via Parallel
Differentiable Simulation [34.30381620584878]
To accurately reproduce measurements from the real world, simulators need to have an adequate model of the physical system.
We address the latter problem of estimating parameters through a Bayesian inference approach.
We leverage GPU code generation and differentiable simulation to evaluate the likelihood and its gradient for many particles in parallel.
arXiv Detail & Related papers (2021-09-18T03:05:44Z) - Bayesian Deep Learning for Partial Differential Equation Parameter
Discovery with Sparse and Noisy Data [0.0]
We propose to use Bayesian neural networks (BNN) in order to recover the full system states from measurement data.
We show that it is possible to accurately capture physics of varying complexity without overfitting.
We demonstrate our approach on a handful of example applied to physics and non-linear dynamics.
arXiv Detail & Related papers (2021-08-05T19:43:15Z) - Real-time gravitational-wave science with neural posterior estimation [64.67121167063696]
We demonstrate unprecedented accuracy for rapid gravitational-wave parameter estimation with deep learning.
We analyze eight gravitational-wave events from the first LIGO-Virgo Gravitational-Wave Transient Catalog.
We find very close quantitative agreement with standard inference codes, but with inference times reduced from O(day) to a minute per event.
arXiv Detail & Related papers (2021-06-23T18:00:05Z) - Multi-fidelity Bayesian Neural Networks: Algorithms and Applications [0.0]
We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity.
We apply them to learn function approximations as well as to solve inverse problems based on partial differential equations (PDEs)
arXiv Detail & Related papers (2020-12-19T02:03:53Z) - Deep-learning based discovery of partial differential equations in
integral form from sparse and noisy data [2.745859263816099]
A new framework combining deep-learning and integral form is proposed to handle the above-mentioned problems simultaneously.
Our proposed algorithm is more robust to noise and more accurate compared with existing methods due to the utilization of integral form.
arXiv Detail & Related papers (2020-11-24T09:18:39Z) - Uncertainty Inspired RGB-D Saliency Detection [70.50583438784571]
We propose the first framework to employ uncertainty for RGB-D saliency detection by learning from the data labeling process.
Inspired by the saliency data labeling process, we propose a generative architecture to achieve probabilistic RGB-D saliency detection.
Results on six challenging RGB-D benchmark datasets show our approach's superior performance in learning the distribution of saliency maps.
arXiv Detail & Related papers (2020-09-07T13:01:45Z) - On Projection Robust Optimal Transport: Sample Complexity and Model
Misspecification [101.0377583883137]
Projection robust (PR) OT seeks to maximize the OT cost between two measures by choosing a $k$-dimensional subspace onto which they can be projected.
Our first contribution is to establish several fundamental statistical properties of PR Wasserstein distances.
Next, we propose the integral PR Wasserstein (IPRW) distance as an alternative to the PRW distance, by averaging rather than optimizing on subspaces.
arXiv Detail & Related papers (2020-06-22T14:35:33Z)
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.