Analyzing the Galactic pulsar distribution with machine learning

Abstract

We explore the possibility of inferring the properties of the Galactic neutron star population through machine learning. In particular, in this paper we focus on their dynamical characteristics and show that an artificial neural network is able to estimate with high accuracy the parameters which control the current positions of a mock population of pulsars. For this purpose, we implement a simplified population-synthesis framework (where selection biases are neglected at this stage) and concentrate on the natal kick-velocity distribution and the distribution of birth distances from the Galactic plane. By varying these and evolving the pulsar trajectories in time, we generate a series of simulations that are used to train and validate a suitably structured convolutional neural network. We demonstrate that our network is able to recover the parameters governing the kick-velocity and Galactic height distribution with a mean relative error of about $10^{-2}$. We discuss the limitations of our idealized approach and study a toy problem to introduce selection effects in a phenomenological way by incorporating the observed proper motions of 216 isolated pulsars. Our analysis highlights that increasing the sample of pulsars with accurate proper motion measurements by a factor of $\sim$10, one of the future breakthroughs of the Square Kilometer Array, we might succeed in constraining the birth spatial and kick-velocity distribution of the neutron stars in the Milky Way with high precision through machine learning.

arXiv comment34 pages, including 12 pages appendices, 15 figures, 5 tables

References in corpus (91)

• Adam: A Method for Stochastic Optimization
• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• Astropy: A Community Python Package for Astronomy
• The NumPy array: a structure for efficient numerical computation
• The Structure of Cold Dark Matter Halos
• An overview of gradient descent optimization algorithms
• Binary companions of evolved stars in APOGEE DR14: Search method and catalog of ~5,000 companions
• The ATNF Pulsar Catalogue
• galpy: A Python Library for Galactic Dynamics
• The ATNF Pulsar Catalogue
• A statistical study of 233 pulsar proper motions
• A New Electron Density Model for Estimation of Pulsar and FRB Distances
• Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification
• Trigonometric Parallaxes Of High-Mass Star Forming Regions: Our View Of The Milky Way
• Birth and Evolution of Isolated Radio Pulsars
• The Parkes Multibeam Pulsar Survey: I. Observing and Data Analysis Systems, Discovery and Timing of 100 Pulsars
• The Velocity Distribution of Isolated Radio Pulsars
• The Parkes multibeam pulsar survey: VI. Discovery and timing of 142 pulsars and a Galactic population analysis
• The Effects of Binary Evolution on the Dynamics of Core Collapse and Neutron-Star Kicks
• Unifying the observational diversity of isolated neutron stars via magneto-thermal evolution models
• Science with ASKAP - the Australian Square Kilometre Array Pathfinder
• The Pulsar Kick Velocity Distribution
• Data Mining and Machine Learning in Astronomy
• The International Pulsar Timing Array: Second data release
• Pulsar Jets: Implications for Neutron Star Kicks and Initial Spins
• Ultra-stripped Type Ic supernovae from close binary evolution
• The observed velocity distribution of young pulsars
• VLBA Measurement of Nine Pulsar Parallaxes
• Coherent Emission Mechanisms in Astrophysical Plasmas
• The Green Bank Northern Celestial Cap Pulsar Survey - I: Survey Description, Data Analysis, and Initial Results
• Pulsar searches and timing with the SKA
• A three-dimensional map of the Milky Way using classical Cepheid variable stars
• Getting Its Kicks: A VLBA Parallax for the Hyperfast Pulsar B1508+55
• Self-sustained asymmetry of lepton-number emission: A new phenomenon during the supernova shock-accretion phase in three dimensions
• Neutron star kicks by the gravitational tug-boat mechanism in asymmetric supernova explosions: progenitor and explosion dependence
• Revisiting the radial distribution of pulsars in the Galaxy
• On the rate of core collapse supernovae in the Milky Way
• Microarcsecond VLBI pulsar astrometry with PSR$\pi$ II. parallax distances for 57 pulsars
• FETCH: A deep-learning based classifier for fast transient classification
• Machine Learning in Astronomy: a practical overview
• The Correlation between Dispersion Measure and X-ray Column Density from Radio Pulsars
• Further Evidence for the Bimodal Distribution of Neutron Star Masses
• Surveying the reach and maturity of machine learning and artificial intelligence in astronomy
• Effects of neutrino-driven kicks on the supernova explosion mechanism
• Simple recipes for compact remnant masses and natal kicks
• From Spin Noise to Systematics: Stochastic Processes in the First International Pulsar Timing Array Data Release
• Revising natal kick prescriptions in population synthesis simulations
• Precision southern hemisphere VLBI pulsar astrometry II: Measurement of seven parallaxes
• Timing of young radio pulsars I: Timing noise, periodic modulation and proper motion
• PsrPopPy: An open-source package for pulsar population simulations
• The LOFAR Pilot Surveys for Pulsars and Fast Radio Transients
• Population synthesis of isolated Neutron Stars with magneto--rotational evolution
• Proper-Motion Measurements with the VLA. II. Observations of Twenty-eight Pulsars
• Chandra Observations of G11.2-0.3: Implications for Pulsar Ages
• Galactic neutron stars I. Space and velocity distributions in the disk and in the halo
• Gaia DR2 in 6D: Searching for the fastest stars in the Galaxy
• The observed velocity distribution of young pulsars II: analysis of complete PSR$\pi$
• Asymmetric neutrino emision and formation of rapidly moving pulsars
• The long helical jet of the Lighthouse nebula, IGR J11014-6103
• Populating the Galaxy with pulsars I: stellar & binary evolution
• Revisiting the Parallax of the Isolated Neutron Star RX J185635-3754 Using HST/ACS Imaging
• The High Time Resolution Universe Pulsar Survey VIII: The Galactic millisecond pulsar population
• Prospects for accurate distance measurements of pulsars with the SKA: enabling fundamental physics
• The NANOGrav Nine-year Data Set: Astrometric Measurements of 37 Millisecond Pulsars
• Binary Pulsar Distances and Velocities from Gaia Data Release 2
• Separation of pulsar signals from noise with supervised machine learning algorithms
• Population synthesis of double neutron stars
• Neural networks reconstruction of the dense-matter equation of state from neutron-star parameters
• A guided map to the Spiral arms in the galactic disk of the Milky Way
• The Galactic spiral structure as revealed by O- and early B-type stars
• Possible early linear acceleration of proto-neutron stars via asymmetric neutrino emission in core-collapse supernovae
• The Sun was not born in M 67
• Deep learning for gravitational wave forecasting of neutron star mergers
• Proper motions of thermally emitting isolated neutron stars measured with Chandra
• A Galaxy Model from 2MASS Star Counts in the Whole Sky Including the Plane
• Probing the Proper Motion of the Central Compact Object in Puppis-A with the Chandra High Resolution Camera
• Populating the Galaxy with pulsars -- II. Galactic dynamics
• Gravitational-wave selection effects using neural-network classifiers
• Pulsar Candidate Identification Using Semi-Supervised Generative Adversarial Networks
• Machine-learning interpolation of population-synthesis simulations to interpret gravitational-wave observations: a case study
• Comparison of Pulsar Positions from Timing and Very Long Baseline Astrometry
• GWSkyNet: a real-time classifier for public gravitational-wave candidates
• Markov chain Monte Carlo population synthesis of single radio pulsars in the Galaxy
• Results of 12 Years of Pulsar Timing at Nanshan -- I
• Population statistics study of radio and gamma-ray pulsars in the Galactic plane
• Pulsars Detection by Machine Learning with Very Few Features
• XMM-Newton observations of a gamma-ray pulsar J0633+0632: pulsations, cooling and large-scale emission
• Deep Learning for Multi-Messenger Astrophysics: A Gateway for Discovery in the Big Data Era
• New timing measurement results of 16 pulsars
• New photometry and astrometry of the isolated neutron star RX J0720-3125 using recent VLT/FORS observations

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