A deep learning view of the census of galaxy clusters in IllustrisTNG

The origin of the diverse population of galaxy clusters remains an unexplained aspect of large-scale structure formation and cluster evolution. We present a novel method of using X-ray images to identify cool core (CC), weak cool core (WCC), and non cool core (NCC) clusters of galaxies, that are defined by their central cooling times. We employ a convolutional neural network, ResNet-18, which is commonly used for image analysis, to classify clusters. We produce mock Chandra X-ray observations for a sample of 318 massive clusters drawn from the IllustrisTNG simulations. The network is trained and tested with low resolution mock Chandra images covering a central 1 Mpc square for the clusters in our sample. Without any spectral information, the deep learning algorithm is able to identify CC, WCC, and NCC clusters, achieving balanced accuracies (BAcc) of 92%, 81%, and 83%, respectively. The performance is superior to classification by conventional methods using central gas densities, with an average BAcc = 81%, or surface brightness concentrations, giving BAcc = 73%. We use Class Activation Mapping to localize discriminative regions for the classification decision. From this analysis, we observe that the network has utilized regions from cluster centers out to r~300 kpc and r~500 kpc to identify CC and NCC clusters, respectively. It may have recognized features in the intracluster medium that are associated with AGN feedback and disruptive major mergers.

[1]  V. Springel,et al.  Introducing the Illustris Project: simulating the coevolution of dark and visible matter in the Universe , 2014, 1405.2921.

[2]  Jian Sun,et al.  Identity Mappings in Deep Residual Networks , 2016, ECCV.

[3]  S. Paltani,et al.  The cool-core bias in X-ray galaxy cluster samples - I. Method and application to HIFLUGCS , 2010, 1011.3302.

[4]  T. Maccarone,et al.  Extended X-Ray Study of M49: The Frontier of the Virgo Cluster , 2019, The Astronomical Journal.

[5]  Annalisa Pillepich,et al.  A census of cool-core galaxy clusters in IllustrisTNG , 2017, Monthly Notices of the Royal Astronomical Society.

[6]  G. Kauffmann,et al.  First results from the IllustrisTNG simulations: the galaxy colour bimodality , 2017, 1707.03395.

[7]  J. Hjorth,et al.  Dynamical mass inference of galaxy clusters with neural flows , 2020, Monthly Notices of the Royal Astronomical Society.

[8]  Polytropic state of the intracluster medium in the X-COP cluster sample , 2019, Astronomy & Astrophysics.

[9]  Andrew C. Fabian,et al.  Observational Evidence of Active Galactic Nuclei Feedback , 2012 .

[10]  Geoffrey E. Hinton,et al.  Deep Learning , 2015, Nature.

[11]  Geoffrey E. Hinton,et al.  On rectified linear units for speech processing , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[12]  M. Donahue,et al.  Regulation of star formation in giant galaxies by precipitation, feedback and conduction , 2014, Nature.

[13]  Cca,et al.  First results from the IllustrisTNG simulations: matter and galaxy clustering , 2017, 1707.03397.

[14]  V. Springel,et al.  First results from the IllustrisTNG simulations: radio haloes and magnetic fields , 2017, Monthly Notices of the Royal Astronomical Society.

[15]  Kunihiko Fukushima,et al.  Neocognitron: A new algorithm for pattern recognition tolerant of deformations and shifts in position , 1982, Pattern Recognit..

[16]  A. Edge,et al.  The Onset of Thermally Unstable Cooling from the Hot Atmospheres of Giant Galaxies in Clusters: Constraints on Feedback Models , 2017, 1704.00011.

[17]  A. C. Fabian,et al.  Mapping small-scale temperature and abundance structures in the core of the Perseus cluster , 2003, astro-ph/0311502.

[18]  S. Borgani,et al.  Iron in X-COP: Tracing enrichment in cluster outskirts with high accuracy abundance profiles , 2020, Astronomy & Astrophysics.

[19]  D. Buote,et al.  CHANDRA OBSERVATION OF ABELL 1142: A COOL-CORE CLUSTER LACKING A CENTRAL BRIGHTEST CLUSTER GALAXY? , 2016, 1602.06549.

[20]  Dan McCammon,et al.  Interstellar photoelectric absorption cross-sections, 0.03-10 keV , 1983 .

[21]  Klaus Dolag,et al.  Investigating the velocity structure and X-ray observable properties of simulated galaxy clusters with PHOX , 2012, 1210.4158.

[22]  M. Rossetti,et al.  Back and forth from cool core to non-cool core: clues from radio halos , 2011, 1106.4563.

[23]  Guobao Zhang,et al.  Using deep Residual Networks to search for galaxy-Ly α emitter lens candidates based on spectroscopic selection , 2018, Monthly Notices of the Royal Astronomical Society.

[24]  T. Reiprich,et al.  Scaling Properties of a Complete X-ray Selected Galaxy Group Sample , 2014, 1409.3845.

[25]  P. Rosati,et al.  Searching for cool core clusters at high redshift , 2008, 0802.1445.

[26]  B. Póczos,et al.  A Robust and Efficient Deep Learning Method for Dynamical Mass Measurements of Galaxy Clusters , 2019, The Astrophysical Journal.

[27]  R. Teyssier,et al.  rhapsody-g simulations - I. The cool cores, hot gas and stellar content of massive galaxy clusters , 2015, 1509.04289.

[28]  R. Kraft,et al.  Gas Sloshing Regulates and Records the Evolution of the Fornax Cluster , 2017, 1711.01523.

[29]  R. K. Smith,et al.  UPDATED ATOMIC DATA AND CALCULATIONS FOR X-RAY SPECTROSCOPY , 2012, 1207.0576.

[30]  Yuanyuan Su,et al.  X-ray cavities in the hot corona of the lenticular galaxy NGC 4477 , 2018, Monthly Notices of the Royal Astronomical Society.

[31]  Moscow,et al.  Chandra Temperature Map of A754 and Constraints on Thermal Conduction , 2003, astro-ph/0301367.

[32]  B. A. Benson,et al.  X-RAY CAVITIES IN A SAMPLE OF 83 SPT-SELECTED CLUSTERS OF GALAXIES: TRACING THE EVOLUTION OF AGN FEEDBACK IN CLUSTERS OF GALAXIES OUT TO z = 1.2 , 2014, 1410.0025.

[33]  S. Borgani,et al.  COOL CORE CLUSTERS FROM COSMOLOGICAL SIMULATIONS , 2015, 1509.04247.

[34]  Xiaopan Zhu,et al.  Galaxy morphology classification with deep convolutional neural networks , 2018, Astrophysics and Space Science.

[35]  Heinz Andernach,et al.  What is a cool-core cluster? a detailed analysis of the cores of the X-ray flux-limited HIFLUGCS cluster sample , 2009, 0911.0409.

[36]  B. Benson,et al.  The Remarkable Similarity of Massive Galaxy Clusters from z ∼ 0 to z ∼ 1.9 , 2017, 1702.05094.

[37]  F. Marinacci,et al.  A Deep Learning Approach to Galaxy Cluster X-Ray Masses , 2018, The Astrophysical Journal.

[38]  H. Rottgering,et al.  The duty cycle of radio-mode feedback in complete samples of clusters , 2012, 1210.7100.

[39]  R. Kraft,et al.  A VERY DEEP CHANDRA OBSERVATION OF THE GALAXY GROUP NGC 5813: AGN SHOCKS, FEEDBACK, AND OUTBURST HISTORY , 2015, 1503.08205.

[40]  N. Aghanim,et al.  The Fraction of Cool-core Clusters in X-Ray versus SZ Samples Using Chandra Observations , 2017, 1703.08690.

[41]  M. Rossetti,et al.  The cool-core state of Planck SZ-selected clusters versus X-ray-selected samples: evidence for cool-core bias , 2017, 1702.06961.

[42]  R. Kraft,et al.  The First Astrophysical Result of Hisaki: A Search for the EUV He Lines in a Massive Cool Core Cluster at z = 0.7 , 2019, The Astrophysical Journal.

[43]  A. C. Fabian,et al.  Turbulent heating in galaxy clusters brightest in X-rays , 2014, Nature.

[44]  A. Babul,et al.  The impact of mergers on relaxed X-ray clusters – III. Effects on compact cool cores , 2008, 0804.1552.

[45]  A. Babul,et al.  Fountains and storms: The role of AGN and mergers in disrupting the cool-core in the RomulusC simulation , 2020, 2001.06532.

[46]  G. W. Pratt,et al.  XXIV. Cosmology from Sunyaev-Zeldovich cluster counts , 2015, 1502.01597.

[47]  Christian L. Reichardt,et al.  Mass Estimation of Galaxy Clusters with Deep Learning. I. Sunyaev–Zel’dovich Effect , 2020, The Astrophysical Journal.

[48]  R. Kraft,et al.  X-Ray Morphological Analysis of the Planck ESZ Clusters , 2017, 1708.02590.

[49]  G. Efstathiou,et al.  The evolution of large-scale structure in a universe dominated by cold dark matter , 1985 .

[50]  Weak lensing shear estimation beyond the shape-noise limit: a machine learning approach , 2018, Monthly Notices of the Royal Astronomical Society.

[51]  Danica J. Sutherland,et al.  A MACHINE LEARNING APPROACH FOR DYNAMICAL MASS MEASUREMENTS OF GALAXY CLUSTERS , 2014, 1410.0686.

[52]  Kenneth W. Cavagnolo,et al.  An Entropy Threshold for Strong Hα and Radio Emission in the Cores of Galaxy Clusters , 2008, 0806.0382.

[53]  Adrian T. Lee,et al.  THE GROWTH OF COOL CORES AND EVOLUTION OF COOLING PROPERTIES IN A SAMPLE OF 83 GALAXY CLUSTERS AT 0.3 < z < 1.2 SELECTED FROM THE SPT-SZ SURVEY , 2013, 1305.2915.

[54]  V. Springel,et al.  First results from the TNG50 simulation: galactic outflows driven by supernovae and black hole feedback , 2019, Monthly Notices of the Royal Astronomical Society.

[55]  C. L. Reichardt,et al.  Mass Estimation of Galaxy Clusters with Deep Learning II. Cosmic Microwave Background Cluster Lensing , 2020, The Astrophysical Journal.

[56]  J. Mohr,et al.  Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys , 2000, astro-ph/0002336.

[57]  E. Ramirez-Ruiz,et al.  First results from the IllustrisTNG simulations: a tale of two elements - chemical evolution of magnesium and europium , 2017, 1707.03401.

[58]  Annalisa Pillepich,et al.  First results from the IllustrisTNG simulations: the stellar mass content of groups and clusters of galaxies , 2017, 1707.03406.

[59]  Li Fei-Fei,et al.  ImageNet: A large-scale hierarchical image database , 2009, CVPR.

[60]  Jian Sun,et al.  Deep Residual Learning for Image Recognition , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[61]  Cca,et al.  The uniformity and time-invariance of the intra-cluster metal distribution in galaxy clusters from the IllustrisTNG simulations , 2017, 1707.05318.

[62]  D. A. Rafferty,et al.  Conduction and the Star Formation Threshold in Brightest Cluster Galaxies , 2008, 0806.0384.

[63]  Removing Cool Cores and Central Metallicity Peaks in Galaxy Clusters with Powerful AGN Outbursts , 2010, 1004.2258.

[64]  B. Póczos,et al.  CMU DeepLens: deep learning for automatic image-based galaxy–galaxy strong lens finding , 2017, Monthly Notices of the Royal Astronomical Society.

[65]  S. Yamada,et al.  Neural network-based preprocessing to estimate the parameters of the X-ray emission of a single-temperature thermal plasma , 2018, 1801.06015.

[66]  R. Kraft,et al.  Buoyant AGN Bubbles in the Quasi-isothermal Potential of NGC 1399 , 2017, 1708.08553.

[67]  Danica J. Sutherland,et al.  DYNAMICAL MASS MEASUREMENTS OF CONTAMINATED GALAXY CLUSTERS USING MACHINE LEARNING , 2015, 1509.05409.

[68]  Klaus Dolag,et al.  Using X-Ray Morphological Parameters to Strengthen Galaxy Cluster Mass Estimates via Machine Learning , 2019, The Astrophysical Journal.