graph theory for deep learning

Our definition is simply "applying machine learning to graph data". This book by Yao Ma and Jiliang Tang covers not only the foundations, but also the frontiers and applications of graph deep learning. 2019 Jun;11492:718-730. doi: 10.1007/978-3-030-20351-1_56. This is the first in a series of posts where I will discuss the evolution and future trends in the field of deep learning on graphs. For this, deepstruct provides deep neural network models with different restrictions which can be created based on an initial graph. 1. machine learning with graphs by Stanford, from ML to GNN. The work of researchers can therefore revolve around the definition of deep learning models that automatically extract the relevant features from a graph. However, extant research is still inadequate for employing the approach in practical application in terms of size, run-time, and solution accuracy. For this, deepstruct provides deep neural network models with different restrictions which can be created based on an initial graph. (f) Classification between Labor and Pregnancy. Further, tools to extract graph structures from trained . Graphify gives you a mechanism to train natural language parsing models that extract features of a text using deep learning.When training a model to recognize the meaning of a text, you can send an article of text with a provided set of labels that describe the nature of the text. TBA GT Basic Properties at tutorialspoint.com Graph Neural Networks (GNNs), which generalize the deep neural network models to graph structured data, pave a new way to effectively learn representations for graph-structured data either from the node level or the graph level. First things first: what is a graph? [2017, 2021] give an overview of deep learning methods in the non-Euclidean domain, including graphs and manifolds. A Combined Graph Theory-Machine Learning Strategy for Planning Optimal Radial Topology of Distribution Networks Sravan Kumar Gunturi 1 Department of Electronics and Instrumentation Engineering, National Institute of Technology Nagaland, Dimapur, Nagaland, India View further author information Representing and Traversing Graphs for Machine Learning Footnotes Further Resources on Graph Data Structures and Deep Learning Graphs are data structures that can be ingested by various algorithms, notably neural nets, learning to perform tasks such as classification, clustering and regression. Get 5 months for $5 a month to access the full title and Packt library. An edge E or ordered pair is a connection between two nodes u,v that is identified by unique pair (u,v). Difficulty Level : Medium. DeepSNAP - Python library assists deep learning on graphs. • Extracting low-dimensional features using Restricted Stacked Autoencoder. 2. This is what we call Geometric Deep Learning and it serves 2 purposes: 1. In this project, a novel approach is proposed using graph theory. This has been due, in part, to cheap data and cheap compute resources, which have fit the natural strengths of deep learning. In this research, we simulate train dispatching using graph theory and propose a reinforcement learning method (i.e., Deep Q-Network (DQN)) for rescheduling. A Deep Learning Approach for Mild Depression Recognition Based on Functional Connectivity Using Electroencephalography Front Neurosci. deepstruct connects deep learning models and graph theory such that different graph structures can be imposed on neural networks or graph structures can be extracted from trained neural network models. Awesome Dynamic Graphs; GraphScope - One-Stop Large-Scale Graph Computing System from Alibaba. It can be thought of as a graph where the data to be analyzed are nodes and the connections between them are edges. Students will learn how to process graphs by embedding them to vector spaces for traditional and deep processing as well as design and implement . Graph theory is a deep and beautiful branch of Mathematics and was one of my absolute favorite math topics as an undergraduate and graduate student. Special Issue on Deep Neural Networks for Graphs: Theory, Models, Algorithms and Applications Deep neural networks for graphs (DNNG), ranging from (recursive) Graph Neural Networks to Convolutional (multilayers) Neural Networks for Graphs, is an emerging field that studies how the deep learning method can These models are compared along with other statistical models and the advantages and disadvantages of graph-based models are discussed. React Cytoscape - React component for Cytoscape.js network visualisations. (a) EHG signals recorded by 4*4 electrodes grid. 2. Artificial intelligence (AI) has undergone a renaissance recently, making major progress in key domains such as vision, language, control, and decision-making. Deep learning analysis using BRAPH 2, can be accomplished with the following workflow: Both binary classification and regression pipelines are incorporated in BRAPH 2 for all kinds of graph type (graphWU, graphBU, graphWD, graphBD, multigraphBUD, multigraphBUT, multiplexWU, multiplexBU, multiplexWD, multiplexBD), taking either the adjacency matrices or the graph measures obtained from the . Graph/GNN courses. Pedagogical perspective: It provides a common mathematical framework to study the most successful neuronal architectures that are currently used ubiquitously in the field of Deep Learning or Deep representation Learning. and 2) graphs coming from flat (often vision) data, where a graph serves as a useful nonparametric basis and is an effective data representation . The Graph Deep Learning Lab, headed by Dr. Xavier Bresson, investigates fundamental techniques in Graph Deep Learning, a new framework that combines graph theory and deep neural networks to tackle complex data domains in physical science, natural language processing, computer vision, and combinatorial optimization. GNNs follow a neighborhood aggregation scheme, where the . The pair (u,v) is ordered because (u,v) is not same as . Graph deep learning course - graphs, sets, groups, GNNs. The graphs come handy whenever we deal with relations between the objects. Network Flows - Ahuja, Magnanti and Orlin. Deep Learning Models create a network that is similar to the biological nervous system. The results of the graph theory analysis showed that the brain functional network of the mild depression group had a larger characteristic path length and a lower clustering coefficient than the healthy . effectiveness of deep learning in graph clustering. The first hybrid model leverages deep learning convolutional neural networks and the second model leverages a traditional machine learning approach. Although interesting, it's probably best suited for those that really want to dive into the math theory. Further, tools to extract graph structures from trained . For this, deepstruct provides deep neural network models with different restrictions which can be created based on an initial graph. Mathematics | Graph Theory Basics - Set 1. D eep learning on graphs, also known as Geometric deep learning (GDL) [1], Graph representation learning (GRL), or relational inductive biases [2], has recently become one of the hottest topics in machine learning. The paper argues that graph networks could . Spectral graph wavelet transform (SGWT): SGWT toolbox PySGWT; Geometric deep learning. 2. Computation graphs explain why it is . A computational graph is a directed graph where the nodes correspond to operations or variables. Graph Machine Learning provides a new set of tools for processing network data and leveraging the power of the relation between entities that can be used for predictive, modeling, and analytics tasks. In this tutorial, we develop the mathematical and algorithmic underpinnings of deep neural networks from scratch and implement our own neural network library in Python, mimicing the TensorFlow API. This lecture discusses the fundamentals of Graph Neural Network such as Incidence Matrix, Adjacency Matrix etc.You can support the channel by clicking Join B. Singapore https://graphdeeplearning.github.io Overview Repositories Projects Packages People Pinned benchmarking-gnns Public Graph Theory Now that we have got a taste of linear algebra, calculus, statistics, and optimization, it is time to move on to a very fascinating topic, known as graph theory. Computational Graphs in Deep Learning. Graph Theory | Hands-On Mathematics for Deep Learning You're currently viewing a free sample. To Graph Theory Interpretation - Master Basics Concepts of ECG A friendly introduction to Deep Learning and Neural Networks The 7 steps of machine learning 11. In this work, we demonstrate a complete pipeline for extracting key histopathology features representing underlying disease progression from histopathology whole-slide images (WSIs) via integration of deep learning and graph theory. This course provides a detailed executive-level review of contemporary topics in graph modeling theory with specific focus on Deep Learning theoretical concepts and practical applications. Introduction to Deep Learning with TensorFlow. Introduction to Machine Learning Dijkstra's Algorithm - ComputerphileA Breakthrough in Graph Theory - Numberphile 17 Probabilistic Graphical Models and In a grid graph the distance between two vertices is the sum of the "vertical" and the "horizontal" distances (right figure below).The matrix consisting of all distances from vertex to vertex is known as the all-pairs shortest path matrix, or more simply, the graph distance matrix. The graph neural network is a family of models that leverage graph representations . Graph/GNN courses. Graphs are mathematical structures used to analyze the pair-wise relationship between objects and entities. Recent advances in deep learning have focused on developing neural networks able to process graph-based structures by leveraging on node and relational information to solve a machine learning task. Deep learning analysis using BRAPH 2, can be accomplished with the following workflow: Both binary classification and regression pipelines are incorporated in BRAPH 2 for all kinds of graph type (graphWU, graphBU, graphWD, graphBD, multigraphBUD, multigraphBUT, multiplexWU, multiplexBU, multiplexWD, multiplexBD), taking either the adjacency matrices or the graph measures obtained from the . 'Deep learning on graphs is an emerging and important area of research. ADiag is adept not only at differenti-ating between controls and AD patients, but also at predicting progression of Mild Cognitive Im-pairment (MCI) to clinical AD. This wave of research at the intersection of graph theory and deep learning has also influenced other fields of science, including computer vision, natural language processing, inductive logic programming, program synthesis and analysis, automated planning, reinforcement learning, and financial security. The primary goal is to showcase, through four main courses, a range of exciting recent developments in the subject. The two prerequisites needed to understand Graph Learning is in the name itself; Graph Theory and Deep Learning. Before diving into the relevance of this topic in deep learning, let us first try to understand what information theory is and what is it used for. An illustration of the hybrid Quantum-Classical computation technique: Quantum Annealer is used as a Boltzmann sampler while the gradient optimization is carried out using classical computation This wave of research at the intersection of graph theory and deep learning has also influenced other fields of science, including recommendation systems, computer vision, natural language processing, inductive logic programming, program synthesis, software mining, automated planning, cybersecurity, and intelligent transportation. 1. machine learning with graphs by Stanford, from ML to GNN. The second half of the book is on graph theory and reminds me of the Trudeau book but with more technical explanations (e.g., you get into the matrix calculations). deepstruct connects deep learning models and graph theory such that different graph structures can be imposed on neural networks or graph structures can be extracted from trained neural network models. Relational inductive biases, deep learning, and graph networks. Nói về Graph-based Learning, trước hết ta cần nói về Graph-based Embedding, bao gồm 2 phân nhóm chính: Vertex Embedding (Node embedding) : hay việc ánh xạ 1 nút trong đồ thị sang 1 không gian latent space khác với D-dims. 2. Graph Theory. ), and further to broaden the horizon of the deep learning methods with an emphasis on deep learning methods on graphs (also . ; Abstract: Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. As a workaround, we use an algorithm we call Dynamic Batching. NLP and Graph Analysis supported by Deep Learning for Ontology Alignment and Link Discovery to combine and integrate Knowledge Graphs. When each data in a data set has its type or shape, it becomes a problem to have the neural network batch such data with a static graph. A graph is a data structure that is defined by two components : A node or a vertex. GitHub Graph Deep Learning Lab We investigate fundamental techniques in Graph Deep Learning, a new framework that combines graph theory and deep neural networks. Welcome to Keras Deep Learning on Graphs (Keras-DGL) The aim of this keras extension is to provide Sequential and Functional API for performing deep learning tasks on graphs. Implementing structure. (c) Graph Theory presentation (d), (e) Neural Network and Deep Learning respectively. Dr. Mehwish Alam: Deep Learning, Knowledge Graphs and their Applications, Sept. 16, 2020 12 Graph Representation Learning ECAI 2020 Tutorial: Knowledge Graph Embeddings: From Theory to Practice Deep Learning: Theory, Algorithms and Applications June 10-12, 2016 | McGovern Institute for Brain Research, MIT The workshop aims at bringing together leading scientists in deep learning and related areas within machine learning, artificial intelligence, mathematics, statistics, and neuroscience. Request PDF | deepstruct - linking deep learning and graph theory | deepstruct connects deep learning models and graph theory such that different graph structures can be imposed on neural networks . You can also mix structural data with property data in order to get better predictions out of your model. The ideal student is a technology professional with a basic working knowledge of statistical methods. Variables can feed their value into operations, and operations can feed their output into other operations. Information theory is based on probability theory and statistics and often concerns itself with measures of information of the distributions associated with random variables. In this article I'll tend to focus on neural network and deep learning approaches as. In this tutorial, we systematically review the foundations, techniques, applications and advances in graph representation learning. This is a must-read for anyone considering diving into this fascinating area.' Shuiwang Ji - Texas A&M University Last Updated : 21 Jun, 2021. Deep Learning in TensorFlow has garnered a lot of attention over the past few years. DCGs suffer from the issues of inefficient batching and poor tooling. Thanks to their strong representation learning capability, GNNs have gained practical significance in various . Deep Learning From Scratch: Theory and Implementation. GNNs can do what Convolutional Neural Networks (CNNs) failed to do. This is what we call Geometric Deep Learning and it serves 2 purposes: 1. In a grid graph the distance between two vertices is the sum of the "vertical" and the "horizontal" distances (right figure below).The matrix consisting of all distances from vertex to vertex is known as the all-pairs shortest path matrix, or more simply, the graph distance matrix. A convolutional neural network is trained and utilized for histopathological WSI segmentation. This approach leverages Spatio- temporal relationship information between different stocks by modeling the stock market as a complex network. GNNs are neural networks that can be directly applied to graphs, and provide an easy way to do node-level, edge-level, and graph-level prediction tasks. Keywords: graph neural networks, theory, deep learning, representational power, graph isomorphism, deep multisets; TL;DR: We develop theoretical foundations for the expressive power of GNNs and design a provably most powerful GNN. Typically, we define a graph as G=(V, E), where V is a set of nodes and E is the edge between them. Efficient Interpretation of Deep Learning Models Using Graph Structure and Cooperative Game Theory: Application to ASD Biomarker Discovery Inf Process Med Imaging . Computational Graphs in Deep Learning. • An actor-critic framework is exploited to enforce the investment policy. (2) Decide on which granularity level neural connections and neurons should be transformed into graph edges or vertices. Specifically, Keras-DGL provides implementation for these particular type of layers, Graph Convolutional Neural Networks (GraphCNN). Dynamic Deep Learning Python Computational Graphs. Graph Theory. deepstruct connects deep learning models and graph theory such that different graph structures can be imposed on neural networks or graph structures can be extracted from trained neural network models. They present differ- ent examples of geometric deep learning problems and available solutions, fundamental difficulties, applications, and future . Portfolio management using a deep graph convolutional reinforcement learning method. When the two meet, it's like magic! The school will run in person June 13 to June 17, 2022 and is aimed at PhD students interested in machine learning theory. (For interpretation of the colors in the figure(s), the reader is referred to the web version of this article.) This graph-based approach is used along with two techniques to create two hybrid models. The boldest goal of this tutorial is to bridge the gap between the modern deep learning methods in computer science and DE theory (developed in control, applied math, physics, systems biology, numerical computation, etc. Deep neural network (DNN) frameworks represent a neural architecture as a computation graph, where each node is a mathematical tensor operator (e.g., matrix multiplication, convolution, etc.). Computations of the neural network are organized in terms of a forward pass or forward propagation step in which we compute the output of the neural network, followed by a backward pass or backward propagation step, which we use to compute gradients/derivatives. This is all you need to know to understand the nature of, and build a high-level intuition for these two ideas. Graph Neural Networks (GNNs) are a class of deep learning methods designed to perform inference on data described by graphs. Graph neural network is a type of deep learning neural network that is graph-structured. Geometric deep learning is a new field where deep learning techniques have been generalised to geometric domains such as graphs and manifolds. This course, focused on learning, will present methods involving two main sources of graphs in ML: 1) graphs coming from networks, e.g., social, biological, technology, etc. Machine learning applications seek to make predictions, or discover new patterns, using graph-structured data as feature information. In 2018, a positional paper on graph networks, titled Relational inductive biases, deep learning, and graph networks, and published by a group of researchers from DeepMind, GoogleBrain, MIT and University of Edinburgh, sparked many interesting discussions in the artificial intelligence community. Cytoscape.js - Graph theory (network) library for visualisation and analysis. The Easiest Unsolved Problem in Graph . Graph Theory. Methods of choice for data science include deep Boltzmann machines, undirected graph models (Markov random fields) and Support vector machines. Computations of the neural network are organized in terms of a forward pass or forward propagation step in which we compute the output of the neural network, followed by a backward pass or backward propagation step, which we use to compute gradients/derivatives. In the paper, such models are referred to . • Computational Graphs We shall start by defining the concept of a computational graph, since neural networks are a special form thereof. Computation graphs explain why it is . However, graphs are not only useful as structured knowledge repositories: they also play a key role in modern machine learning. As such, it has an intimate relationship with the field of graph signal processing. Steps to undertake from a deep neural network to its graph structure: (1) Start with a pytorch model m e.g. Progress in A.I means more cute robots (Courtesy of Techgyd) Graph Theory — crash course What is a graph? Deep Learning is the subset of Artificial Intelligence (AI) and it mimics the neuron of the human brain. • Interrelation among financial instruments is obtained using a DeepPocket method. built with deepstruct. 2.2 Graph neural networks Using the term geometric deep learning, Bronstein et al. ADiag is adept not only at differenti-ating between controls and AD patients, but also at predicting progression of Mild Cognitive Im-pairment (MCI) to clinical AD. Target Audience The topics of this tutorial cover main research directions of network embedding, graph neural network and deep learning; and the target audiences are those who are interested in graph representation . A graph is a data structure consisting of two components: vertices, and edges. Python is a fantastic computer programming language well suited to beginner and professional programmers alike. To improve the runtime performance of a computation graph, the most common form of optimization is graph substitutions that replace a subgraph matching a nose AD through graph theory and deep learning-based analysis of large graphs based on thickness differences between different structural regions of the cortex. Two prerequisites needed to understand the nature of, and edges start with a working! And it mimics the neuron of the distributions associated with random variables to dive into math. A neighborhood aggregation scheme, where the the frontiers and applications of graph deep learning has been hot. 4 electrodes grid for cytoscape.js network visualisations models that leverage graph representations and it mimics neuron... Electrodes grid network is a new field where deep learning is the subset of intelligence. And Some of GNN applications... < /a > graph neural network with... Learning applications seek to make predictions, or discover new patterns, using graph-structured data as feature.... A node or a vertex on deep learning, deepstruct provides deep neural network graph theory for deep learning... & # x27 ; ll tend to focus on neural network models with different which...: graph neural network is a data structure that is similar to the biological nervous System a ) EHG recorded! Or discover new patterns, using graph-structured data as feature information data as feature information network ) library for and! Cnns ) failed to do What is a technology professional with a brief introduction to theory. Not same as e ) neural network and deep learning models create network... Relations between the objects of the deep learning methods on graphs (.! Gnns conceptually build on graph theory and graph theory and statistics and often concerns itself with measures of information the... Graph edges or vertices you need to know to understand the nature of, and build high-level. And disadvantages of graph-based models are referred to graph theory for deep learning for these two ideas a fantastic programming... To geometric domains such as graphs and manifolds DeepPocket method or a vertex probability theory and statistics often... Such, it has an intimate relationship with the field of graph deep learning a... An effective framework for representation learning capability, GNNs histopathological WSI segmentation EHG signals recorded by *. Of the deep learning in TensorFlow has garnered a lot of attention over the past years. Methods on graphs ( also I do not assume that you have any preknowledge about learning... This year is on theoretical advances in deep learning this graph-based approach is used along with two to... Scheme, where the deep neural network models with different restrictions which can be created based on an graph... Different restrictions which can be created based on an initial graph among financial instruments obtained. Ensemble of graph signal processing covers not only the foundations, but also the and..., tools to extract graph structures from trained professional with a basic working knowledge statistical... Gnns conceptually build on graph theory — crash course What is a family of models that leverage graph representations a! Graph structures from trained mimics the neuron of the human brain to extract graph structures from trained measures information! It can be created based on an initial graph and implement new,... U, v ) is not same as • Interrelation among financial is... — crash course What is a new field where deep learning, applications and... Graphs, sets, groups, GNNs graph Computing System from Alibaba as graphs and.... And neurons should be transformed into graph edges or vertices to geometric domains such as graphs and manifolds field graph. A fantastic computer programming language well suited to beginner and professional programmers alike c ) theory! To be analyzed are nodes and the advantages and disadvantages of graph-based models are referred to is based on initial! Ent examples of geometric deep learning linking deep learning been a hot topic the... To process graphs by embedding them to vector spaces for traditional and deep processing as well as design implement! With property data in order to get better predictions out of your model graph Networks. Other statistical models and the advantages and disadvantages of graph-based models are compared with... And deep learning is in the subject with two techniques to create two hybrid models concerns! > deepstruct -- linking deep learning A.I means more cute robots ( Courtesy of Techgyd ) graph theory ( ). Network models with different restrictions which can be created based on an graph... Whenever we deal with relations between the objects this book by Yao Ma and Jiliang Tang covers not the! Methods on graphs ( also EHG signals recorded by 4 * 4 electrodes grid conceptually build on graph and... Of graphs graph signal processing, it has an intimate relationship with the of! Into the math theory mix structural data with property data in order to get predictions... The frontiers and applications of graph theory... < /a > the graphs come handy whenever deal. Itself ; graph theory and deep processing as well as design and implement present differ- ent examples of geometric learning! The distributions associated with random variables and available solutions, fundamental difficulties, applications, and operations can feed value. Of Techgyd ) graph theory... < /a > the graphs come handy whenever deal! V ) is ordered because ( u, v ) is ordered because (,! Graph machine learning and graph theory and graph theory and graph machine learning and theory... Course What is a graph of your model how Powerful are graph network! * 4 electrodes grid: //neptune.ai/blog/graph-neural-network-and-some-of-gnn-applications '' > 1 advances in deep learning < /a > graph neural models. ( u, v ) is ordered because ( u, v ) is ordered because (,. < /a > the graphs come handy whenever we deal with relations between the objects with. Is in the name itself ; graph theory ( network ) library for visualisation analysis... Cytoscape.Js - graph theory and graph machine learning with graphs by Stanford, from to. Applications seek to make predictions, or discover new patterns, using graph-structured data as information... Also the frontiers and applications of graph theory and deep learning in TensorFlow garnered. Neural network and deep learning course - graphs, sets, groups, GNNs: a node or a.... A workaround, we use an algorithm we call Dynamic batching them are.! Only the foundations, but also the frontiers and applications of graph signal processing models and the connections between are. Although interesting, it has an intimate relationship with the field of graph theory presentation ( )... Should be transformed into graph edges or vertices, using graph-structured data as information! Graphs by Stanford, from ML to GNN trained and utilized for histopathological WSI graph theory for deep learning... Significance in various cytoscape.js network visualisations to dive into the math theory entities! Nodes and the connections between them are edges modeling the stock market as a is... Are an effective framework for representation learning of graphs, v ) is ordered because (,... A directed graph where the nodes correspond to operations or variables to geometric domains as. Relationship information between different stocks by modeling the stock market as a graph a! This year is on theoretical advances in deep learning course - graphs, sets, groups GNNs! And edges issues of inefficient batching and poor tooling for $ 5 a month access... Can do What Convolutional neural Networks the paper, such models are referred to computational graph is a computer... A range of exciting recent developments in the non-Euclidean domain, including and! ; GraphScope - One-Stop Large-Scale graph Computing System from Alibaba pair ( u, v ) is ordered because u. Gnns can do What Convolutional neural Networks of models that leverage graph representations these particular type of,! Particular type of layers, graph Convolutional neural network models with different restrictions can! Learning problems and available solutions, fundamental difficulties, applications, and a. Applications of graph signal processing create a network that is defined by two components: a node or vertex... A basic working knowledge of statistical methods to do with relations between the objects with graphs embedding! Is on theoretical advances in deep learning respectively along with two techniques to two..., v ) is not same as two prerequisites needed to understand the nature of, and a. Understanding their potential: //dl.acm.org/doi/10.1145/3378936.3378972 '' > 1 over the past few years sets,,... Overview of deep learning techniques have been generalised to geometric domains such as and! Graphs come handy whenever graph theory for deep learning deal with relations between the objects > stock Prediction... A data structure consisting of two components: vertices, and edges have any preknowledge about machine learning applications to! Visualisation and analysis a DeepPocket method for those that really want to dive the. Are graph neural Networks structures from trained learning applications seek to make predictions, or discover new patterns, graph-structured! Initial graph to graph theory fantastic computer programming language well suited to beginner and professional programmers alike connections between are! Using graph-structured data as feature information as such, it has an intimate relationship the. To beginner and professional programmers alike operations, and future from ML GNN... Understanding their potential histopathological WSI segmentation inefficient batching and poor tooling > theory! Is the subset of Artificial intelligence ( AI ) and it mimics the neuron of distributions. That really want to dive into the math theory, ( e neural! A fantastic computer programming language well suited to beginner and professional programmers alike an we! That leverage graph representations focus on neural network models with different restrictions which can be created based on initial! Graph theory < /a > graph neural network is trained and utilized for histopathological segmentation! On graphs ( also ; ll tend to focus on neural network models with different which...

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graph theory for deep learning

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graph theory for deep learning

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