Machine learning phases of matter
The success of machine learning techniques in handling big data sets proves ideal for classifying condensed-matter phases and phase transitions. The technique is even amenable to detecting non-trivial states lacking in conventional order. Condensed-matter physics is the study of the collective behav...
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| Published in | Nature physics Vol. 13; no. 5; pp. 431 - 434 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
01.05.2017
Nature Publishing Group |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1745-2473 1745-2481 |
| DOI | 10.1038/nphys4035 |
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| Abstract | The success of machine learning techniques in handling big data sets proves ideal for classifying condensed-matter phases and phase transitions. The technique is even amenable to detecting non-trivial states lacking in conventional order.
Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits
1
. This complexity is reflected in the size of the state space, which grows exponentially with the number of particles, reminiscent of the ‘curse of dimensionality’ commonly encountered in machine learning
2
. Despite this curse, the machine learning community has developed techniques with remarkable abilities to recognize, classify, and characterize complex sets of data. Here, we show that modern machine learning architectures, such as fully connected and convolutional neural networks
3
, can identify phases and phase transitions in a variety of condensed-matter Hamiltonians. Readily programmable through modern software libraries
4
,
5
, neural networks can be trained to detect multiple types of order parameter, as well as highly non-trivial states with no conventional order, directly from raw state configurations sampled with Monte Carlo
6
,
7
. |
|---|---|
| AbstractList | Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits1. This complexity is reflected in the size of the state space, which grows exponentially with the number of particles, reminiscent of the curse of dimensionality commonly encountered in machine learning2. Despite this curse, the machine learning community has developed techniques with remarkable abilities to recognize, classify, and characterize complex sets of data. Here, we show that modern machine learning architectures, such as fully connected and convolutional neural networks3, can identify phases and phase transitions in a variety of condensed-matter Hamiltonians. Readily programmable through modern software libraries4,5, neural networks can be trained to detect multiple types of order parameter, as well as highly non-trivial states with no conventional order, directly from raw state configurations sampled with Monte Carlo6,7. Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits. This complexity is reflected in the size of the state space, which grows exponentially with the number of particles, reminiscent of the 'curse of dimensionality' commonly encountered in machine learning. Despite this curse, the machine learning community has developed techniques with remarkable abilities to recognize, classify, and characterize complex sets of data. Here, we show that modern machine learning architectures, such as fully connected and convolutional neural networks, can identify phases and phase transitions in a variety of condensed-matter Hamiltonians. Readily programmable through modern software libraries, neural networks can be trained to detect multiple types of order parameter, as well as highly non-trivial states with no conventional order, directly from raw state configurations sampled with Monte Carlo. The success of machine learning techniques in handling big data sets proves ideal for classifying condensed-matter phases and phase transitions. The technique is even amenable to detecting non-trivial states lacking in conventional order.Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits1. This complexity is reflected in the size of the state space, which grows exponentially with the number of particles, reminiscent of the ‘curse of dimensionality’ commonly encountered in machine learning2. Despite this curse, the machine learning community has developed techniques with remarkable abilities to recognize, classify, and characterize complex sets of data. Here, we show that modern machine learning architectures, such as fully connected and convolutional neural networks3, can identify phases and phase transitions in a variety of condensed-matter Hamiltonians. Readily programmable through modern software libraries4,5, neural networks can be trained to detect multiple types of order parameter, as well as highly non-trivial states with no conventional order, directly from raw state configurations sampled with Monte Carlo6,7. The success of machine learning techniques in handling big data sets proves ideal for classifying condensed-matter phases and phase transitions. The technique is even amenable to detecting non-trivial states lacking in conventional order. Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits 1 . This complexity is reflected in the size of the state space, which grows exponentially with the number of particles, reminiscent of the ‘curse of dimensionality’ commonly encountered in machine learning 2 . Despite this curse, the machine learning community has developed techniques with remarkable abilities to recognize, classify, and characterize complex sets of data. Here, we show that modern machine learning architectures, such as fully connected and convolutional neural networks 3 , can identify phases and phase transitions in a variety of condensed-matter Hamiltonians. Readily programmable through modern software libraries 4 , 5 , neural networks can be trained to detect multiple types of order parameter, as well as highly non-trivial states with no conventional order, directly from raw state configurations sampled with Monte Carlo 6 , 7 . |
| Author | Melko, Roger G. Carrasquilla, Juan |
| Author_xml | – sequence: 1 givenname: Juan surname: Carrasquilla fullname: Carrasquilla, Juan email: jcarrasquilla@perimeterinstitute.ca organization: Perimeter Institute for Theoretical Physics – sequence: 2 givenname: Roger G. surname: Melko fullname: Melko, Roger G. organization: Perimeter Institute for Theoretical Physics, Department of Physics and Astronomy, University of Waterloo |
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| Cites_doi | 10.1103/PhysRevB.76.174416 10.1007/978-3-642-35106-8 10.1103/PhysRevLett.96.110405 10.1103/PhysRev.79.876 10.1103/RevModPhys.51.659 10.1103/PhysRevLett.96.110404 10.1088/1367-2630/14/8/085004 10.1103/PhysRevLett.114.105503 10.1038/nphys3644 10.1016/S0003-4916(02)00018-0 10.1038/nphys4037 10.1103/PhysRev.65.117 10.1038/srep06367 10.1103/PhysRevB.76.184442 10.1109/5.726791 10.1103/PhysRevB.90.155136 10.1063/1.3518900 10.1038/nmat4395 |
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| References | A Kitaev (BFnphys4035_CR10) 2006; 96 LM Ghiringhelli (BFnphys4035_CR14) 2015; 114 SS Schoenholz (BFnphys4035_CR15) 2016; 12 Y LeCun (BFnphys4035_CR22) 1998; 86 L-F Arsenault (BFnphys4035_CR11) 2014; 90 J Bergstra (BFnphys4035_CR5) 2010 O Landon-Cardinal (BFnphys4035_CR27) 2012; 14 M Abadi (BFnphys4035_CR4) 2015 R Bellman (BFnphys4035_CR2) 1957 A Avella (BFnphys4035_CR6) 2013 GF Newell (BFnphys4035_CR19) 1950; 79 BFnphys4035_CR18 BFnphys4035_CR16 JB Kogut (BFnphys4035_CR20) 1979; 51 C Castelnovo (BFnphys4035_CR23) 2007; 76 M Levin (BFnphys4035_CR9) 2006; 96 C Castelnovo (BFnphys4035_CR21) 2007; 76 SV Kalinin (BFnphys4035_CR13) 2015; 14 AW Sandvik (BFnphys4035_CR7) 2010; 1297 AG Kusne (BFnphys4035_CR12) 2014; 4 S Aubry (BFnphys4035_CR24) 1980; 3 BFnphys4035_CR25 I Goodfellow (BFnphys4035_CR3) 2016 A Kitaev (BFnphys4035_CR8) 2003; 303 L Onsager (BFnphys4035_CR17) 1944; 65 X Wen (BFnphys4035_CR1) 2004 BFnphys4035_CR26 |
| References_xml | – volume-title: Deep Learning year: 2016 ident: BFnphys4035_CR3 – volume: 76 start-page: 174416 year: 2007 ident: BFnphys4035_CR21 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.76.174416 – volume-title: TensorFlow: Large-Scale Machine Learning on Heterogeneous Systems year: 2015 ident: BFnphys4035_CR4 – ident: BFnphys4035_CR25 – volume-title: Strongly Correlated Systems: Numerical Methods year: 2013 ident: BFnphys4035_CR6 doi: 10.1007/978-3-642-35106-8 – volume-title: Proc. Python Sci. Comput. Conf. (SciPy) year: 2010 ident: BFnphys4035_CR5 – volume: 96 start-page: 110405 year: 2006 ident: BFnphys4035_CR9 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.96.110405 – volume: 79 start-page: 876 year: 1950 ident: BFnphys4035_CR19 publication-title: Phys. Rev. doi: 10.1103/PhysRev.79.876 – volume: 51 start-page: 659 year: 1979 ident: BFnphys4035_CR20 publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.51.659 – volume: 96 start-page: 110404 year: 2006 ident: BFnphys4035_CR10 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.96.110404 – volume: 14 start-page: 085004 year: 2012 ident: BFnphys4035_CR27 publication-title: New J. Phys. doi: 10.1088/1367-2630/14/8/085004 – volume: 114 start-page: 105503 year: 2015 ident: BFnphys4035_CR14 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.114.105503 – volume: 12 start-page: 469 year: 2016 ident: BFnphys4035_CR15 publication-title: Nat. Phys. doi: 10.1038/nphys3644 – volume: 3 start-page: 133 year: 1980 ident: BFnphys4035_CR24 publication-title: Ann. Isr. Phys. Soc. – volume: 303 start-page: 2 year: 2003 ident: BFnphys4035_CR8 publication-title: Ann. Phys. doi: 10.1016/S0003-4916(02)00018-0 – ident: BFnphys4035_CR18 doi: 10.1038/nphys4037 – volume: 65 start-page: 117 year: 1944 ident: BFnphys4035_CR17 publication-title: Phys. Rev. doi: 10.1103/PhysRev.65.117 – ident: BFnphys4035_CR26 – volume-title: Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons year: 2004 ident: BFnphys4035_CR1 – volume: 4 start-page: 6367 year: 2014 ident: BFnphys4035_CR12 publication-title: Sci. Rep. doi: 10.1038/srep06367 – volume: 76 start-page: 184442 year: 2007 ident: BFnphys4035_CR23 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.76.184442 – volume-title: Dynamic Programming year: 1957 ident: BFnphys4035_CR2 – volume: 86 start-page: 2278 year: 1998 ident: BFnphys4035_CR22 publication-title: IEEE Proc. doi: 10.1109/5.726791 – ident: BFnphys4035_CR16 – volume: 90 start-page: 155136 year: 2014 ident: BFnphys4035_CR11 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.90.155136 – volume: 1297 start-page: 135 year: 2010 ident: BFnphys4035_CR7 publication-title: AIP Conf. Proc. doi: 10.1063/1.3518900 – volume: 14 start-page: 973 year: 2015 ident: BFnphys4035_CR13 publication-title: Nat. Mater. doi: 10.1038/nmat4395 |
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| Snippet | The success of machine learning techniques in handling big data sets proves ideal for classifying condensed-matter phases and phase transitions. The technique... Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits1.... Condensed-matter physics is the study of the collective behaviour of infinitely complex assemblies of electrons, nuclei, magnetic moments, atoms or qubits.... |
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| Title | Machine learning phases of matter |
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