title: Quantum-chemical insights from deep tensor neural networks.
abstract: Learning from data has led to paradigm shifts in a multitude of disciplines, including web, text and image search, speech recognition, as well as bioinformatics. Can machine learning enable similar breakthroughs in understanding quantum many-body systems? Here we develop an efficient deep learning approach that enables spatially and chemically resolved insights into quantum-mechanical observables of molecular systems. We unify concepts from many-body Hamiltonians with purpose-designed deep tensor neural networks, which leads to size-extensive and uniformly accurate (1 kcal mol-1) predictions in compositional and configurational chemical space for molecules of intermediate size. As an example of chemical relevance, the model reveals a classification of aromatic rings with respect to their stability. Further applications of our model for predicting atomic energies and local chemical potentials in molecules, reliable isomer energies, and molecules with peculiar electronic structure demonstrate the potential of machine learning for revealing insights into complex quantum-chemical systems.
authors.affiliation: Machine Learning Group, Technische Universität Berlin, Marchstr. 23, 10587 Berlin, Germany.
authors.forename: Kristof T
authors.initials: KT
authors.lastname: Schütt
authors.affiliation: Machine Learning Group, Technische Universität Berlin, Marchstr. 23, 10587 Berlin, Germany.
authors.forename: Farhad
authors.initials: F
authors.lastname: Arbabzadah
authors.affiliation: Machine Learning Group, Technische Universität Berlin, Marchstr. 23, 10587 Berlin, Germany.
authors.forename: Stefan
authors.initials: S
authors.lastname: Chmiela
authors.affiliation: Machine Learning Group, Technische Universität Berlin, Marchstr. 23, 10587 Berlin, Germany.|Department of Brain and Cognitive Engineering, Korea University, Anam-dong, Seongbuk-gu, Seoul 136-713, Republic of Korea.
authors.forename: Klaus R
authors.initials: KR
authors.lastname: Müller
authors.affiliation: Theory Department, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany.|Physics and Materials Science Research Unit, University of Luxembourg, Luxembourg,, L-1511 Luxembourg.
authors.forename: Alexandre
authors.initials: A
authors.lastname: Tkatchenko