Relational inductive biases, deep learning, and graph networks

Artificial intelligence (AI) has undergone a renaissance recently, making major progress in key domains such as vision, language, control, and decision-making. This has been due, in part, to cheap data and cheap compute resources, which have fit the natural strengths of deep learning. However, many defining characteristics of human intelligence, which developed under much different pressures, remain out of reach for current approaches. In particular, generalizing beyond one's experiences--a hallmark of human intelligence from infancy--remains a formidable challenge for modern AI. The following is part position paper, part review, and part unification. We argue that combinatorial generalization must be a top priority for AI to achieve human-like abilities, and that structured representations and computations are key to realizing this objective. Just as biology uses nature and nurture cooperatively, we reject the false choice between "hand-engineering" and "end-to-end" learning, and instead advocate for an approach which benefits from their complementary strengths. We explore how using relational inductive biases within deep learning architectures can facilitate learning about entities, relations, and rules for composing them. We present a new building block for the AI toolkit with a strong relational inductive bias--the graph network--which generalizes and extends various approaches for neural networks that operate on graphs, and provides a straightforward interface for manipulating structured knowledge and producing structured behaviors. We discuss how graph networks can support relational reasoning and combinatorial generalization, laying the foundation for more sophisticated, interpretable, and flexible patterns of reasoning. As a companion to this paper, we have released an open-source software library for building graph networks, with demonstrations of how to use them in practice.

[1]  W. H. F. Barnes The Nature of Explanation , 1944, Nature.

[2]  J. Haldane The interaction of nature and nurture. , 1946, Annals of eugenics.

[3]  S. Barker,et al.  On the new Riddle of induction , 1960 .

[4]  A. A. Mullin,et al.  Principles of neurodynamics , 1962 .

[5]  Frank Rosenblatt,et al.  PRINCIPLES OF NEURODYNAMICS. PERCEPTRONS AND THE THEORY OF BRAIN MECHANISMS , 1963 .

[6]  Noam Chomsky,et al.  वाक्यविन्यास का सैद्धान्तिक पक्ष = Aspects of the theory of syntax , 1965 .

[7]  Richard Fikes,et al.  STRIPS: A New Approach to the Application of Theorem Proving to Problem Solving , 1971, IJCAI.

[8]  D. Navon Forest before trees: The precedence of global features in visual perception , 1977, Cognitive Psychology.

[9]  James L. McClelland,et al.  An interactive activation model of context effects in letter perception: I. An account of basic findings. , 1981 .

[10]  John R. Anderson Acquisition of cognitive skill. , 1982 .

[11]  Judea Pearl,et al.  Fusion, Propagation, and Structuring in Belief Networks , 1986, Artif. Intell..

[12]  S. Pinker,et al.  On language and connectionism: Analysis of a parallel distributed processing model of language acquisition , 1988, Cognition.

[13]  J. Fodor,et al.  Connectionism and cognitive architecture: A critical analysis , 1988, Cognition.

[14]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[15]  Lawrence D. Jackel,et al.  Backpropagation Applied to Handwritten Zip Code Recognition , 1989, Neural Computation.

[16]  Jeffrey L. Elman,et al.  Finding Structure in Time , 1990, Cogn. Sci..

[17]  Jordan B. Pollack,et al.  Recursive Distributed Representations , 1990, Artif. Intell..

[18]  Geoffrey E. Hinton Mapping Part-Whole Hierarchies into Connectionist Networks , 1990, Artif. Intell..

[19]  Geoffrey E. Hinton Tensor Product Variable Binding and the Representation of Symbolic Structures in Connectionist Systems , 1991 .

[20]  Elie Bienenstock,et al.  Neural Networks and the Bias/Variance Dilemma , 1992, Neural Computation.

[21]  E. Spelke,et al.  Origins of knowledge. , 1992, Psychological review.

[22]  Tony A. Plate,et al.  Holographic reduced representations , 1995, IEEE Trans. Neural Networks.

[23]  James L. McClelland,et al.  Understanding normal and impaired word reading: computational principles in quasi-regular domains. , 1996, Psychological review.

[24]  D. Gentner,et al.  Structure mapping in analogy and similarity. , 1997 .

[25]  Wilhelm Freiherr von Humboldt,et al.  On Language: On the Diversity of Human Language Construction and Its Influence on the Mental Development of the Human Species , 2001 .

[26]  J. Pearl Causality: Models, Reasoning and Inference , 2000 .

[27]  K. Holyoak,et al.  A symbolic-connectionist theory of relational inference and generalization. , 2003, Psychological review.

[28]  Peter Norvig,et al.  Artificial intelligence - a modern approach, 2nd Edition , 2003, Prentice Hall series in artificial intelligence.

[29]  Kunihiko Fukushima,et al.  Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position , 1980, Biological Cybernetics.

[30]  P N Johnson-Laird,et al.  Reasoning about relations. , 2005, Psychological review.

[31]  J. Elman Distributed representations, simple recurrent networks, and grammatical structure , 1991, Machine Learning.

[32]  Ah Chung Tsoi,et al.  Graph neural networks for ranking Web pages , 2005, The 2005 IEEE/WIC/ACM International Conference on Web Intelligence (WI'05).

[33]  F. Scarselli,et al.  A new model for learning in graph domains , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[34]  Philipp Slusallek,et al.  Introduction to real-time ray tracing , 2005, SIGGRAPH Courses.

[35]  J. Tenenbaum,et al.  Opinion TRENDS in Cognitive Sciences Vol.10 No.7 July 2006 Special Issue: Probabilistic models of cognition Theory-based Bayesian models of inductive learning and reasoning , 2022 .

[36]  M. Nowak Five Rules for the Evolution of Cooperation , 2006, Science.

[37]  H. Ohtsuki,et al.  A simple rule for the evolution of cooperation on graphs and social networks , 2006, Nature.

[38]  Katherine D. Kinzler,et al.  Core knowledge. , 2007, Developmental science.

[39]  Tom M. Mitchell,et al.  The Need for Biases in Learning Generalizations , 2007 .

[40]  Andrew McCallum,et al.  Introduction to Statistical Relational Learning , 2007 .

[41]  Charles Kemp,et al.  The discovery of structural form , 2008, Proceedings of the National Academy of Sciences.

[42]  M. Botvinick Hierarchical models of behavior and prefrontal function , 2008, Trends in Cognitive Sciences.

[43]  Joshua B. Tenenbaum,et al.  Church: a language for generative models , 2008, UAI.

[44]  Ah Chung Tsoi,et al.  Computational Capabilities of Graph Neural Networks , 2009, IEEE Transactions on Neural Networks.

[45]  Ah Chung Tsoi,et al.  The Graph Neural Network Model , 2009, IEEE Transactions on Neural Networks.

[46]  Nir Friedman,et al.  Probabilistic Graphical Models - Principles and Techniques , 2009 .

[47]  J. Tenenbaum,et al.  Probabilistic models of cognition: exploring representations and inductive biases , 2010, Trends in Cognitive Sciences.

[48]  Charles Kemp,et al.  How to Grow a Mind: Statistics, Structure, and Abstraction , 2011, Science.

[49]  Kurt Mehlhorn,et al.  Weisfeiler-Lehman Graph Kernels , 2011, J. Mach. Learn. Res..

[50]  Andrew Y. Ng,et al.  Parsing Natural Scenes and Natural Language with Recursive Neural Networks , 2011, ICML.

[51]  Jeffrey Pennington,et al.  Semi-Supervised Recursive Autoencoders for Predicting Sentiment Distributions , 2011, EMNLP.

[52]  D. McDermott LANGUAGE OF THOUGHT , 2012 .

[53]  Andrew Y. Ng,et al.  Semantic Compositionality through Recursive Matrix-Vector Spaces , 2012, EMNLP.

[54]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[55]  Jason Weston,et al.  Translating Embeddings for Modeling Multi-relational Data , 2013, NIPS.

[56]  Jessica B. Hamrick,et al.  Simulation as an engine of physical scene understanding , 2013, Proceedings of the National Academy of Sciences.

[57]  Christopher Potts,et al.  Recursive Deep Models for Semantic Compositionality Over a Sentiment Treebank , 2013, EMNLP.

[58]  Chris Eliasmith,et al.  How to Build a Brain: A Neural Architecture for Biological Cognition , 2013 .

[59]  Geoffrey Zweig,et al.  Linguistic Regularities in Continuous Space Word Representations , 2013, NAACL.

[60]  Noah D. Goodman,et al.  Concepts in a Probabilistic Language of Thought , 2014 .

[61]  Yoshua Bengio,et al.  Learning Phrase Representations using RNN Encoder–Decoder for Statistical Machine Translation , 2014, EMNLP.

[62]  Nitish Srivastava,et al.  Dropout: a simple way to prevent neural networks from overfitting , 2014, J. Mach. Learn. Res..

[63]  Joan Bruna,et al.  Spectral Networks and Locally Connected Networks on Graphs , 2013, ICLR.

[64]  Alex Graves,et al.  Recurrent Models of Visual Attention , 2014, NIPS.

[65]  Quoc V. Le,et al.  Sequence to Sequence Learning with Neural Networks , 2014, NIPS.

[66]  Jeffrey Pennington,et al.  GloVe: Global Vectors for Word Representation , 2014, EMNLP.

[67]  Steven Skiena,et al.  DeepWalk: online learning of social representations , 2014, KDD.

[68]  Mingzhe Wang,et al.  LINE: Large-scale Information Network Embedding , 2015, WWW.

[69]  Jürgen Schmidhuber,et al.  Deep learning in neural networks: An overview , 2014, Neural Networks.

[70]  Christopher D. Manning,et al.  Improved Semantic Representations From Tree-Structured Long Short-Term Memory Networks , 2015, ACL.

[71]  Sergey Ioffe,et al.  Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift , 2015, ICML.

[72]  Jason Weston,et al.  End-To-End Memory Networks , 2015, NIPS.

[73]  Alán Aspuru-Guzik,et al.  Convolutional Networks on Graphs for Learning Molecular Fingerprints , 2015, NIPS.

[74]  Zoubin Ghahramani,et al.  Probabilistic machine learning and artificial intelligence , 2015, Nature.

[75]  Joshua B. Tenenbaum,et al.  Human-level concept learning through probabilistic program induction , 2015, Science.

[76]  Christopher D. Manning,et al.  Effective Approaches to Attention-based Neural Machine Translation , 2015, EMNLP.

[77]  Noah A. Smith,et al.  Transition-Based Dependency Parsing with Stack Long Short-Term Memory , 2015, ACL.

[78]  Tomas Mikolov,et al.  Inferring Algorithmic Patterns with Stack-Augmented Recurrent Nets , 2015, NIPS.

[79]  Shane Legg,et al.  Human-level control through deep reinforcement learning , 2015, Nature.

[80]  Joan Bruna,et al.  Deep Convolutional Networks on Graph-Structured Data , 2015, ArXiv.

[81]  Phil Blunsom,et al.  Learning to Transduce with Unbounded Memory , 2015, NIPS.

[82]  Yoshua Bengio,et al.  Neural Machine Translation by Jointly Learning to Align and Translate , 2014, ICLR.

[83]  Shimon Whiteson,et al.  Learning to Communicate with Deep Multi-Agent Reinforcement Learning , 2016, NIPS.

[84]  Dan Klein,et al.  Neural Module Networks , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[85]  Geoffrey E. Hinton,et al.  Attend, Infer, Repeat: Fast Scene Understanding with Generative Models , 2016, NIPS.

[86]  Le Song,et al.  Discriminative Embeddings of Latent Variable Models for Structured Data , 2016, ICML.

[87]  Jure Leskovec,et al.  node2vec: Scalable Feature Learning for Networks , 2016, KDD.

[88]  Murray Shanahan,et al.  Towards Deep Symbolic Reinforcement Learning , 2016, ArXiv.

[89]  Richard S. Zemel,et al.  Gated Graph Sequence Neural Networks , 2015, ICLR.

[90]  D. Blei Bayesian Nonparametrics I , 2016 .

[91]  Guigang Zhang,et al.  Deep Learning , 2016, Int. J. Semantic Comput..

[92]  Rob Fergus,et al.  Learning Multiagent Communication with Backpropagation , 2016, NIPS.

[93]  Vijay S. Pande,et al.  Molecular graph convolutions: moving beyond fingerprints , 2016, Journal of Computer-Aided Molecular Design.

[94]  Max Welling,et al.  Group Equivariant Convolutional Networks , 2016, ICML.

[95]  Joshua B. Tenenbaum,et al.  Building machines that learn and think like people , 2016, Behavioral and Brain Sciences.

[96]  Sergio Gomez Colmenarejo,et al.  Hybrid computing using a neural network with dynamic external memory , 2016, Nature.

[97]  Mathias Niepert,et al.  Learning Convolutional Neural Networks for Graphs , 2016, ICML.

[98]  Demis Hassabis,et al.  Mastering the game of Go with deep neural networks and tree search , 2016, Nature.

[99]  Geoffrey E. Hinton,et al.  Layer Normalization , 2016, ArXiv.

[100]  Marcin Andrychowicz,et al.  Neural Random Access Machines , 2015, ERCIM News.

[101]  Noah D. Goodman,et al.  Deep Amortized Inference for Probabilistic Programs , 2016, ArXiv.

[102]  Razvan Pascanu,et al.  Interaction Networks for Learning about Objects, Relations and Physics , 2016, NIPS.

[103]  Nando de Freitas,et al.  Neural Programmer-Interpreters , 2015, ICLR.

[104]  Xavier Bresson,et al.  Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering , 2016, NIPS.

[105]  Yang Liu,et al.  subgraph2vec: Learning Distributed Representations of Rooted Sub-graphs from Large Graphs , 2016, ArXiv.

[106]  Razvan Pascanu,et al.  A simple neural network module for relational reasoning , 2017, NIPS.

[107]  Razvan Pascanu,et al.  Metacontrol for Adaptive Imagination-Based Optimization , 2017, ICLR.

[108]  Yang Liu,et al.  graph2vec: Learning Distributed Representations of Graphs , 2017, ArXiv.

[109]  Pierre Vandergheynst,et al.  Geometric Deep Learning: Going beyond Euclidean data , 2016, IEEE Signal Process. Mag..

[110]  J. Tenenbaum,et al.  Mind Games: Game Engines as an Architecture for Intuitive Physics , 2017, Trends in Cognitive Sciences.

[111]  Razvan Pascanu,et al.  Discovering objects and their relations from entangled scene representations , 2017, ICLR.

[112]  Bowen Zhou,et al.  A Structured Self-attentive Sentence Embedding , 2017, ICLR.

[113]  Lukasz Kaiser,et al.  Attention is All you Need , 2017, NIPS.

[114]  Razvan Pascanu,et al.  Visual Interaction Networks: Learning a Physics Simulator from Video , 2017, NIPS.

[115]  Zeb Kurth-Nelson,et al.  Learning to reinforcement learn , 2016, CogSci.

[116]  Max Welling,et al.  Semi-Supervised Classification with Graph Convolutional Networks , 2016, ICLR.

[117]  Dan Klein,et al.  Modular Multitask Reinforcement Learning with Policy Sketches , 2016, ICML.

[118]  Joan Bruna,et al.  A Note on Learning Algorithms for Quadratic Assignment with Graph Neural Networks , 2017, ArXiv.

[119]  Amos J. Storkey,et al.  Towards a Neural Statistician , 2016, ICLR.

[120]  Pushmeet Kohli,et al.  Learning Continuous Semantic Representations of Symbolic Expressions , 2016, ICML.

[121]  Yedid Hoshen,et al.  VAIN: Attentional Multi-agent Predictive Modeling , 2017, NIPS.

[122]  Lihong Li,et al.  Neuro-Symbolic Program Synthesis , 2016, ICLR.

[123]  Jure Leskovec,et al.  Inductive Representation Learning on Large Graphs , 2017, NIPS.

[124]  Marc Brockschmidt,et al.  Differentiable Programs with Neural Libraries , 2016, ICML.

[125]  Dileep George,et al.  Schema Networks: Zero-shot Transfer with a Generative Causal Model of Intuitive Physics , 2017, ICML.

[126]  Ohad Shamir,et al.  Failures of Gradient-Based Deep Learning , 2017, ICML.

[127]  Joshua B. Tenenbaum,et al.  A Compositional Object-Based Approach to Learning Physical Dynamics , 2016, ICLR.

[128]  Kevin Waugh,et al.  DeepStack: Expert-level artificial intelligence in heads-up no-limit poker , 2017, Science.

[129]  Alexander J. Smola,et al.  Deep Sets , 2017, 1703.06114.

[130]  Yuji Matsumoto,et al.  Knowledge Transfer for Out-of-Knowledge-Base Entities : A Graph Neural Network Approach , 2017, IJCAI.

[131]  Mathias Niepert,et al.  Learning Graph Representations with Embedding Propagation , 2017, NIPS.

[132]  Sergey Ioffe,et al.  Inception-v4, Inception-ResNet and the Impact of Residual Connections on Learning , 2016, AAAI.

[133]  Razvan Pascanu,et al.  Learning model-based planning from scratch , 2017, ArXiv.

[134]  Geoffrey E. Hinton,et al.  Dynamic Routing Between Capsules , 2017, NIPS.

[135]  Sergey Levine,et al.  Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks , 2017, ICML.

[136]  Pushmeet Kohli,et al.  Semantic Code Repair using Neuro-Symbolic Transformation Networks , 2017, ICLR 2018.

[137]  Yuji Matsumoto,et al.  Knowledge Transfer for Out-of-Knowledge-Base Entities: A Graph Neural Network Approach , 2017, ArXiv.

[138]  Samy Bengio,et al.  Neural Combinatorial Optimization with Reinforcement Learning , 2016, ICLR.

[139]  Leonidas J. Guibas,et al.  PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation , 2016, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[140]  Shimon Whiteson,et al.  TreeQN and ATreeC: Differentiable Tree Planning for Deep Reinforcement Learning , 2017, ICLR 2018.

[141]  Samuel S. Schoenholz,et al.  Neural Message Passing for Quantum Chemistry , 2017, ICML.

[142]  Daniel Oñoro-Rubio,et al.  Representation Learning for Visual-Relational Knowledge Graphs , 2017, ArXiv.

[143]  Jiajun Wu,et al.  Learning to See Physics via Visual De-animation , 2017, NIPS.

[144]  Daniel D. Johnson,et al.  Learning Graphical State Transitions , 2016, ICLR.

[145]  Marco Baroni,et al.  Still not systematic after all these years: On the compositional skills of sequence-to-sequence recurrent networks , 2017, ICLR 2018.

[146]  Jonathan Masci,et al.  Geometric Deep Learning on Graphs and Manifolds Using Mixture Model CNNs , 2016, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[147]  Le Song,et al.  2 Common Formulation for Greedy Algorithms on Graphs , 2018 .

[148]  Tomás Pevný,et al.  Using Neural Network Formalism to Solve Multiple-Instance Problems , 2017, ISNN.

[149]  Max Welling,et al.  Attention Solves Your TSP , 2018, ArXiv.

[150]  Sanja Fidler,et al.  NerveNet: Learning Structured Policy with Graph Neural Networks , 2018, ICLR.

[151]  Christopher D. Manning,et al.  Compositional Attention Networks for Machine Reasoning , 2018, ICLR.

[152]  Jure Leskovec,et al.  GraphRNN: A Deep Generative Model for Graphs , 2018, ICML 2018.

[153]  Pietro Liò,et al.  Graph Attention Networks , 2017, ICLR.

[154]  Raia Hadsell,et al.  Graph networks as learnable physics engines for inference and control , 2018, ICML.

[155]  Jessica B. Hamrick,et al.  Relational inductive bias for physical construction in humans and machines , 2018, CogSci.

[156]  Richard Evans,et al.  Learning Explanatory Rules from Noisy Data , 2017, J. Artif. Intell. Res..

[157]  Risi Kondor,et al.  Covariant Compositional Networks For Learning Graphs , 2018, ICLR.

[158]  Joel Z. Leibo,et al.  Prefrontal cortex as a meta-reinforcement learning system , 2018, bioRxiv.

[159]  Joan Bruna,et al.  Few-Shot Learning with Graph Neural Networks , 2017, ICLR.

[160]  Xinlei Chen,et al.  Iterative Visual Reasoning Beyond Convolutions , 2018, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition.

[161]  Jürgen Schmidhuber,et al.  Relational Neural Expectation Maximization: Unsupervised Discovery of Objects and their Interactions , 2018, ICLR.

[162]  Gary Marcus,et al.  Deep Learning: A Critical Appraisal , 2018, ArXiv.

[163]  Razvan Pascanu,et al.  Relational Deep Reinforcement Learning , 2018, ArXiv.

[164]  Gary Marcus,et al.  Innateness, AlphaZero, and Artificial Intelligence , 2018, ArXiv.

[165]  Yichen Wei,et al.  Relation Networks for Object Detection , 2017, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition.

[166]  Dawn Xiaodong Song,et al.  Tree-to-tree Neural Networks for Program Translation , 2018, NeurIPS.

[167]  Tom Silver,et al.  Behavior Is Everything: Towards Representing Concepts with Sensorimotor Contingencies , 2018, AAAI.

[168]  Risi Kondor,et al.  On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups , 2018, ICML.

[169]  Oriol Vinyals,et al.  Hierarchical Representations for Efficient Architecture Search , 2017, ICLR.

[170]  Rémi Munos,et al.  Learning to Search with MCTSnets , 2018, ICML.

[171]  Abhinav Gupta,et al.  Non-local Neural Networks , 2017, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition.

[172]  Cyrus Shahabi,et al.  Diffusion Convolutional Recurrent Neural Network: Data-Driven Traffic Forecasting , 2017, ICLR.

[173]  Kevin Leyton-Brown,et al.  Deep Models of Interactions Across Sets , 2018, ICML.

[174]  Leslie Pack Kaelbling,et al.  From Skills to Symbols: Learning Symbolic Representations for Abstract High-Level Planning , 2018, J. Artif. Intell. Res..

[175]  Richard Evans,et al.  Can Neural Networks Understand Logical Entailment? , 2018, ICLR.

[176]  Ashish Vaswani,et al.  Self-Attention with Relative Position Representations , 2018, NAACL.

[177]  Marc Brockschmidt,et al.  Learning to Represent Programs with Graphs , 2017, ICLR.

[178]  Lexing Xie,et al.  Action Schema Networks: Generalised Policies with Deep Learning , 2017, AAAI.

[179]  Stephan Günnemann,et al.  NetGAN: Generating Graphs via Random Walks , 2018, ICML.

[180]  Nicola De Cao,et al.  MolGAN: An implicit generative model for small molecular graphs , 2018, ArXiv.

[181]  Rob Fergus,et al.  Composable Planning with Attributes , 2018, ICML.

[182]  Zhiyong Cui,et al.  High-Order Graph Convolutional Recurrent Neural Network: A Deep Learning Framework for Network-Scale Traffic Learning and Forecasting , 2018, ArXiv.

[183]  Razvan Pascanu,et al.  Learning Deep Generative Models of Graphs , 2018, ICLR 2018.

[184]  R. Zemel,et al.  Neural Relational Inference for Interacting Systems , 2018, ICML.

[185]  Judea Pearl,et al.  Theoretical Impediments to Machine Learning With Seven Sparks from the Causal Revolution , 2018, WSDM.

[186]  Daniel Oñoro-Rubio,et al.  Answering Visual-Relational Queries in Web-Extracted Knowledge Graphs , 2017, AKBC.

[187]  Lisa Zhang,et al.  Inference in Probabilistic Graphical Models by Graph Neural Networks , 2018, 2019 53rd Asilomar Conference on Signals, Systems, and Computers.

[188]  Yue Wang,et al.  Dynamic Graph CNN for Learning on Point Clouds , 2018, ACM Trans. Graph..

[189]  Razvan Pascanu,et al.  Hyperbolic Attention Networks , 2018, ICLR.

[190]  Stephan Günnemann,et al.  Adversarial Attacks on Neural Networks for Graph Data , 2018, KDD.

[191]  David L. Dill,et al.  Learning a SAT Solver from Single-Bit Supervision , 2018, ICLR.

[192]  De,et al.  Relational Reinforcement Learning , 2022 .