[
  {
    "path": ".github/FUNDING.yml",
    "content": "github: [benedekrozemberczki]\n\n"
  },
  {
    "path": "LICENSE",
    "content": "                    GNU GENERAL PUBLIC LICENSE\n                       Version 3, 29 June 2007\n\n Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>\n Everyone is permitted to copy and distribute verbatim copies\n of this license document, but changing it is not allowed.\n\n                            Preamble\n\n  The GNU General Public License is a free, copyleft license for\nsoftware and other kinds of works.\n\n  The licenses for most software and other practical works are designed\nto take away your freedom to share and change the works.  By contrast,\nthe GNU General Public License is intended to guarantee your freedom to\nshare and change all versions of a program--to make sure it remains free\nsoftware for all its users.  We, the Free Software Foundation, use the\nGNU General Public License for most of our software; it applies also to\nany other work released this way by its authors.  You can apply it to\nyour programs, too.\n\n  When we speak of free software, we are referring to freedom, not\nprice.  Our General Public Licenses are designed to make sure that you\nhave the freedom to distribute copies of free software (and charge for\nthem if you wish), that you receive source code or can get it if you\nwant it, that you can change the software or use pieces of it in new\nfree programs, and that you know you can do these things.\n\n  To protect your rights, we need to prevent others from denying you\nthese rights or asking you to surrender the rights.  Therefore, you have\ncertain responsibilities if you distribute copies of the software, or if\nyou modify it: responsibilities to respect the freedom of others.\n\n  For example, if you distribute copies of such a program, whether\ngratis or for a fee, you must pass on to the recipients the same\nfreedoms that you received.  You must make sure that they, too, receive\nor can get the source code.  And you must show them these terms so they\nknow their rights.\n\n  Developers that use the GNU GPL protect your rights with two steps:\n(1) assert copyright on the software, and (2) offer you this License\ngiving you legal permission to copy, distribute and/or modify it.\n\n  For the developers' and authors' protection, the GPL clearly explains\nthat there is no warranty for this free software.  For both users' and\nauthors' sake, the GPL requires that modified versions be marked as\nchanged, so that their problems will not be attributed erroneously to\nauthors of previous versions.\n\n  Some devices are designed to deny users access to install or run\nmodified versions of the software inside them, although the manufacturer\ncan do so.  This is fundamentally incompatible with the aim of\nprotecting users' freedom to change the software.  The systematic\npattern of such abuse occurs in the area of products for individuals to\nuse, which is precisely where it is most unacceptable.  Therefore, we\nhave designed this version of the GPL to prohibit the practice for those\nproducts.  If such problems arise substantially in other domains, we\nstand ready to extend this provision to those domains in future versions\nof the GPL, as needed to protect the freedom of users.\n\n  Finally, every program is threatened constantly by software patents.\nStates should not allow patents to restrict development and use of\nsoftware on general-purpose computers, but in those that do, we wish to\navoid the special danger that patents applied to a free program could\nmake it effectively proprietary.  To prevent this, the GPL assures that\npatents cannot be used to render the program non-free.\n\n  The precise terms and conditions for copying, distribution and\nmodification follow.\n\n                       TERMS AND CONDITIONS\n\n  0. Definitions.\n\n  \"This License\" refers to version 3 of the GNU General Public License.\n\n  \"Copyright\" also means copyright-like laws that apply to other kinds of\nworks, such as semiconductor masks.\n\n  \"The Program\" refers to any copyrightable work licensed under this\nLicense.  Each licensee is addressed as \"you\".  \"Licensees\" and\n\"recipients\" may be individuals or organizations.\n\n  To \"modify\" a work means to copy from or adapt all or part of the work\nin a fashion requiring copyright permission, other than the making of an\nexact copy.  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Mere interaction with a user through\na computer network, with no transfer of a copy, is not conveying.\n\n  An interactive user interface displays \"Appropriate Legal Notices\"\nto the extent that it includes a convenient and prominently visible\nfeature that (1) displays an appropriate copyright notice, and (2)\ntells the user that there is no warranty for the work (except to the\nextent that warranties are provided), that licensees may convey the\nwork under this License, and how to view a copy of this License.  If\nthe interface presents a list of user commands or options, such as a\nmenu, a prominent item in the list meets this criterion.\n\n  1. 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For example, Corresponding Source\nincludes interface definition files associated with source files for\nthe work, and the source code for shared libraries and dynamically\nlinked subprograms that the work is specifically designed to require,\nsuch as by intimate data communication or control flow between those\nsubprograms and other parts of the work.\n\n  The Corresponding Source need not include anything that users\ncan regenerate automatically from other parts of the Corresponding\nSource.\n\n  The Corresponding Source for a work in source code form is that\nsame work.\n\n  2. Basic Permissions.\n\n  All rights granted under this License are granted for the term of\ncopyright on the Program, and are irrevocable provided the stated\nconditions are met.  This License explicitly affirms your unlimited\npermission to run the unmodified Program.  The output from running a\ncovered work is covered by this License only if the output, given its\ncontent, constitutes a covered work.  This License acknowledges your\nrights of fair use or other equivalent, as provided by copyright law.\n\n  You may make, run and propagate covered works that you do not\nconvey, without conditions so long as your license otherwise remains\nin force.  You may convey covered works to others for the sole purpose\nof having them make modifications exclusively for you, or provide you\nwith facilities for running those works, provided that you comply with\nthe terms of this License in conveying all material for which you do\nnot control copyright.  Those thus making or running the covered works\nfor you must do so exclusively on your behalf, under your direction\nand control, on terms that prohibit them from making any copies of\nyour copyrighted material outside their relationship with you.\n\n  Conveying under any other circumstances is permitted solely under\nthe conditions stated below.  Sublicensing is not allowed; section 10\nmakes it unnecessary.\n\n  3. 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The information must\nsuffice to ensure that the continued functioning of the modified object\ncode is in no case prevented or interfered with solely because\nmodification has been made.\n\n  If you convey an object code work under this section in, or with, or\nspecifically for use in, a User Product, and the conveying occurs as\npart of a transaction in which the right of possession and use of the\nUser Product is transferred to the recipient in perpetuity or for a\nfixed term (regardless of how the transaction is characterized), the\nCorresponding Source conveyed under this section must be accompanied\nby the Installation Information.  But this requirement does not apply\nif neither you nor any third party retains the ability to install\nmodified object code on the User Product (for example, the work has\nbeen installed in ROM).\n\n  The requirement to provide Installation Information does not include a\nrequirement to continue to provide support service, warranty, or updates\nfor a work that has been modified or installed by the recipient, or for\nthe User Product in which it has been modified or installed.  Access to a\nnetwork may be denied when the modification itself materially and\nadversely affects the operation of the network or violates the rules and\nprotocols for communication across the network.\n\n  Corresponding Source conveyed, and Installation Information provided,\nin accord with this section must be in a format that is publicly\ndocumented (and with an implementation available to the public in\nsource code form), and must require no special password or key for\nunpacking, reading or copying.\n\n  7. Additional Terms.\n\n  \"Additional permissions\" are terms that supplement the terms of this\nLicense by making exceptions from one or more of its conditions.\nAdditional permissions that are applicable to the entire Program shall\nbe treated as though they were included in this License, to the extent\nthat they are valid under applicable law.  If additional permissions\napply only to part of the Program, that part may be used separately\nunder those permissions, but the entire Program remains governed by\nthis License without regard to the additional permissions.\n\n  When you convey a copy of a covered work, you may at your option\nremove any additional permissions from that copy, or from any part of\nit.  (Additional permissions may be written to require their own\nremoval in certain cases when you modify the work.)  You may place\nadditional permissions on material, added by you to a covered work,\nfor which you have or can give appropriate copyright permission.\n\n  Notwithstanding any other provision of this License, for material you\nadd to a covered work, you may (if authorized by the copyright holders of\nthat material) supplement the terms of this License with terms:\n\n    a) Disclaiming warranty or limiting liability differently from the\n    terms of sections 15 and 16 of this License; or\n\n    b) Requiring preservation of specified reasonable legal notices or\n    author attributions in that material or in the Appropriate Legal\n    Notices displayed by works containing it; or\n\n    c) Prohibiting misrepresentation of the origin of that material, or\n    requiring that modified versions of such material be marked in\n    reasonable ways as different from the original version; or\n\n    d) Limiting the use for publicity purposes of names of licensors or\n    authors of the material; or\n\n    e) Declining to grant rights under trademark law for use of some\n    trade names, trademarks, or service marks; or\n\n    f) Requiring indemnification of licensors and authors of that\n    material by anyone who conveys the material (or modified versions of\n    it) with contractual assumptions of liability to the recipient, for\n    any liability that these contractual assumptions directly impose on\n    those licensors and authors.\n\n  All other non-permissive additional terms are considered \"further\nrestrictions\" within the meaning of section 10.  If the Program as you\nreceived it, or any part of it, contains a notice stating that it is\ngoverned by this License along with a term that is a further\nrestriction, you may remove that term.  If a license document contains\na further restriction but permits relicensing or conveying under this\nLicense, you may add to a covered work material governed by the terms\nof that license document, provided that the further restriction does\nnot survive such relicensing or conveying.\n\n  If you add terms to a covered work in accord with this section, you\nmust place, in the relevant source files, a statement of the\nadditional terms that apply to those files, or a notice indicating\nwhere to find the applicable terms.\n\n  Additional terms, permissive or non-permissive, may be stated in the\nform of a separately written license, or stated as exceptions;\nthe above requirements apply either way.\n\n  8. Termination.\n\n  You may not propagate or modify a covered work except as expressly\nprovided under this License.  Any attempt otherwise to propagate or\nmodify it is void, and will automatically terminate your rights under\nthis License (including any patent licenses granted under the third\nparagraph of section 11).\n\n  However, if you cease all violation of this License, then your\nlicense from a particular copyright holder is reinstated (a)\nprovisionally, unless and until the copyright holder explicitly and\nfinally terminates your license, and (b) permanently, if the copyright\nholder fails to notify you of the violation by some reasonable means\nprior to 60 days after the cessation.\n\n  Moreover, your license from a particular copyright holder is\nreinstated permanently if the copyright holder notifies you of the\nviolation by some reasonable means, this is the first time you have\nreceived notice of violation of this License (for any work) from that\ncopyright holder, and you cure the violation prior to 30 days after\nyour receipt of the notice.\n\n  Termination of your rights under this section does not terminate the\nlicenses of parties who have received copies or rights from you under\nthis License.  If your rights have been terminated and not permanently\nreinstated, you do not qualify to receive new licenses for the same\nmaterial under section 10.\n\n  9. Acceptance Not Required for Having Copies.\n\n  You are not required to accept this License in order to receive or\nrun a copy of the Program.  Ancillary propagation of a covered work\noccurring solely as a consequence of using peer-to-peer transmission\nto receive a copy likewise does not require acceptance.  However,\nnothing other than this License grants you permission to propagate or\nmodify any covered work.  These actions infringe copyright if you do\nnot accept this License.  Therefore, by modifying or propagating a\ncovered work, you indicate your acceptance of this License to do so.\n\n  10. Automatic Licensing of Downstream Recipients.\n\n  Each time you convey a covered work, the recipient automatically\nreceives a license from the original licensors, to run, modify and\npropagate that work, subject to this License.  You are not responsible\nfor enforcing compliance by third parties with this License.\n\n  An \"entity transaction\" is a transaction transferring control of an\norganization, or substantially all assets of one, or subdividing an\norganization, or merging organizations.  If propagation of a covered\nwork results from an entity transaction, each party to that\ntransaction who receives a copy of the work also receives whatever\nlicenses to the work the party's predecessor in interest had or could\ngive under the previous paragraph, plus a right to possession of the\nCorresponding Source of the work from the predecessor in interest, if\nthe predecessor has it or can get it with reasonable efforts.\n\n  You may not impose any further restrictions on the exercise of the\nrights granted or affirmed under this License.  For example, you may\nnot impose a license fee, royalty, or other charge for exercise of\nrights granted under this License, and you may not initiate litigation\n(including a cross-claim or counterclaim in a lawsuit) alleging that\nany patent claim is infringed by making, using, selling, offering for\nsale, or importing the Program or any portion of it.\n\n  11. Patents.\n\n  A \"contributor\" is a copyright holder who authorizes use under this\nLicense of the Program or a work on which the Program is based.  The\nwork thus licensed is called the contributor's \"contributor version\".\n\n  A contributor's \"essential patent claims\" are all patent claims\nowned or controlled by the contributor, whether already acquired or\nhereafter acquired, that would be infringed by some manner, permitted\nby this License, of making, using, or selling its contributor version,\nbut do not include claims that would be infringed only as a\nconsequence of further modification of the contributor version.  For\npurposes of this definition, \"control\" includes the right to grant\npatent sublicenses in a manner consistent with the requirements of\nthis License.\n\n  Each contributor grants you a non-exclusive, worldwide, royalty-free\npatent license under the contributor's essential patent claims, to\nmake, use, sell, offer for sale, import and otherwise run, modify and\npropagate the contents of its contributor version.\n\n  In the following three paragraphs, a \"patent license\" is any express\nagreement or commitment, however denominated, not to enforce a patent\n(such as an express permission to practice a patent or covenant not to\nsue for patent infringement).  To \"grant\" such a patent license to a\nparty means to make such an agreement or commitment not to enforce a\npatent against the party.\n\n  If you convey a covered work, knowingly relying on a patent license,\nand the Corresponding Source of the work is not available for anyone\nto copy, free of charge and under the terms of this License, through a\npublicly available network server or other readily accessible means,\nthen you must either (1) cause the Corresponding Source to be so\navailable, or (2) arrange to deprive yourself of the benefit of the\npatent license for this particular work, or (3) arrange, in a manner\nconsistent with the requirements of this License, to extend the patent\nlicense to downstream recipients.  \"Knowingly relying\" means you have\nactual knowledge that, but for the patent license, your conveying the\ncovered work in a country, or your recipient's use of the covered work\nin a country, would infringe one or more identifiable patents in that\ncountry that you have reason to believe are valid.\n\n  If, pursuant to or in connection with a single transaction or\narrangement, you convey, or propagate by procuring conveyance of, a\ncovered work, and grant a patent license to some of the parties\nreceiving the covered work authorizing them to use, propagate, modify\nor convey a specific copy of the covered work, then the patent license\nyou grant is automatically extended to all recipients of the covered\nwork and works based on it.\n\n  A patent license is \"discriminatory\" if it does not include within\nthe scope of its coverage, prohibits the exercise of, or is\nconditioned on the non-exercise of one or more of the rights that are\nspecifically granted under this License.  You may not convey a covered\nwork if you are a party to an arrangement with a third party that is\nin the business of distributing software, under which you make payment\nto the third party based on the extent of your activity of conveying\nthe work, and under which the third party grants, to any of the\nparties who would receive the covered work from you, a discriminatory\npatent license (a) in connection with copies of the covered work\nconveyed by you (or copies made from those copies), or (b) primarily\nfor and in connection with specific products or compilations that\ncontain the covered work, unless you entered into that arrangement,\nor that patent license was granted, prior to 28 March 2007.\n\n  Nothing in this License shall be construed as excluding or limiting\nany implied license or other defenses to infringement that may\notherwise be available to you under applicable patent law.\n\n  12. No Surrender of Others' Freedom.\n\n  If conditions are imposed on you (whether by court order, agreement or\notherwise) that contradict the conditions of this License, they do not\nexcuse you from the conditions of this License.  If you cannot convey a\ncovered work so as to satisfy simultaneously your obligations under this\nLicense and any other pertinent obligations, then as a consequence you may\nnot convey it at all.  For example, if you agree to terms that obligate you\nto collect a royalty for further conveying from those to whom you convey\nthe Program, the only way you could satisfy both those terms and this\nLicense would be to refrain entirely from conveying the Program.\n\n  13. Use with the GNU Affero General Public License.\n\n  Notwithstanding any other provision of this License, you have\npermission to link or combine any covered work with a work licensed\nunder version 3 of the GNU Affero General Public License into a single\ncombined work, and to convey the resulting work.  The terms of this\nLicense will continue to apply to the part which is the covered work,\nbut the special requirements of the GNU Affero General Public License,\nsection 13, concerning interaction through a network will apply to the\ncombination as such.\n\n  14. Revised Versions of this License.\n\n  The Free Software Foundation may publish revised and/or new versions of\nthe GNU General Public License from time to time.  Such new versions will\nbe similar in spirit to the present version, but may differ in detail to\naddress new problems or concerns.\n\n  Each version is given a distinguishing version number.  If the\nProgram specifies that a certain numbered version of the GNU General\nPublic License \"or any later version\" applies to it, you have the\noption of following the terms and conditions either of that numbered\nversion or of any later version published by the Free Software\nFoundation.  If the Program does not specify a version number of the\nGNU General Public License, you may choose any version ever published\nby the Free Software Foundation.\n\n  If the Program specifies that a proxy can decide which future\nversions of the GNU General Public License can be used, that proxy's\npublic statement of acceptance of a version permanently authorizes you\nto choose that version for the Program.\n\n  Later license versions may give you additional or different\npermissions.  However, no additional obligations are imposed on any\nauthor or copyright holder as a result of your choosing to follow a\nlater version.\n\n  15. Disclaimer of Warranty.\n\n  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY\nAPPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT\nHOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM \"AS IS\" WITHOUT WARRANTY\nOF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,\nTHE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR\nPURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM\nIS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF\nALL NECESSARY SERVICING, REPAIR OR CORRECTION.\n\n  16. Limitation of Liability.\n\n  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING\nWILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS\nTHE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY\nGENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE\nUSE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF\nDATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD\nPARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),\nEVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF\nSUCH DAMAGES.\n\n  17. Interpretation of Sections 15 and 16.\n\n  If the disclaimer of warranty and limitation of liability provided\nabove cannot be given local legal effect according to their terms,\nreviewing courts shall apply local law that most closely approximates\nan absolute waiver of all civil liability in connection with the\nProgram, unless a warranty or assumption of liability accompanies a\ncopy of the Program in return for a fee.\n\n                     END OF TERMS AND CONDITIONS\n\n            How to Apply These Terms to Your New Programs\n\n  If you develop a new program, and you want it to be of the greatest\npossible use to the public, the best way to achieve this is to make it\nfree software which everyone can redistribute and change under these terms.\n\n  To do so, attach the following notices to the program.  It is safest\nto attach them to the start of each source file to most effectively\nstate the exclusion of warranty; and each file should have at least\nthe \"copyright\" line and a pointer to where the full notice is found.\n\n    <one line to give the program's name and a brief idea of what it does.>\n    Copyright (C) <year>  <name of author>\n\n    This program is free software: you can redistribute it and/or modify\n    it under the terms of the GNU General Public License as published by\n    the Free Software Foundation, either version 3 of the License, or\n    (at your option) any later version.\n\n    This program is distributed in the hope that it will be useful,\n    but WITHOUT ANY WARRANTY; without even the implied warranty of\n    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n    GNU General Public License for more details.\n\n    You should have received a copy of the GNU General Public License\n    along with this program.  If not, see <https://www.gnu.org/licenses/>.\n\nAlso add information on how to contact you by electronic and paper mail.\n\n  If the program does terminal interaction, make it output a short\nnotice like this when it starts in an interactive mode:\n\n    <program>  Copyright (C) <year>  <name of author>\n    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.\n    This is free software, and you are welcome to redistribute it\n    under certain conditions; type `show c' for details.\n\nThe hypothetical commands `show w' and `show c' should show the appropriate\nparts of the General Public License.  Of course, your program's commands\nmight be different; for a GUI interface, you would use an \"about box\".\n\n  You should also get your employer (if you work as a programmer) or school,\nif any, to sign a \"copyright disclaimer\" for the program, if necessary.\nFor more information on this, and how to apply and follow the GNU GPL, see\n<https://www.gnu.org/licenses/>.\n\n  The GNU General Public License does not permit incorporating your program\ninto proprietary programs.  If your program is a subroutine library, you\nmay consider it more useful to permit linking proprietary applications with\nthe library.  If this is what you want to do, use the GNU Lesser General\nPublic License instead of this License.  But first, please read\n<https://www.gnu.org/licenses/why-not-lgpl.html>.\n"
  },
  {
    "path": "README.md",
    "content": "MixHop and N-GCN\n===========================\n[![PWC](https://img.shields.io/endpoint.svg?url=https://paperswithcode.com/badge/mixhop-higher-order-graph-convolution/node-classification-on-citeseer)](https://paperswithcode.com/sota/node-classification-on-citeseer?p=mixhop-higher-order-graph-convolution)\n[![Arxiv](https://img.shields.io/badge/ArXiv-1905.00067-orange.svg?color=blue)](https://arxiv.org/abs/1905.00067)\n[![codebeat badge](https://codebeat.co/badges/d6075a37-a3c8-4a04-b9c6-5d31898496e6)](https://codebeat.co/projects/github-com-benedekrozemberczki-mixhop-and-n-gcn-master)\n [![repo size](https://img.shields.io/github/repo-size/benedekrozemberczki/MixHop-and-N-GCN.svg)](https://github.com/benedekrozemberczki/MixHop-and-N-GCN/archive/master.zip)⠀[![benedekrozemberczki](https://img.shields.io/twitter/follow/benrozemberczki?style=social&logo=twitter)](https://twitter.com/intent/follow?screen_name=benrozemberczki)\n \nA **PyTorch** implementation of \"MixHop: Higher-Order Graph Convolutional Architectures via Sparsified Neighborhood Mixing\" (ICML 2019) and \"A Higher-Order Graph Convolutional Layer\" (NeurIPS 2018).\n<p align=\"center\">\n  <img width=\"800\" src=\"mixhop1.jpg\">\n</p>\n\n---------------------\n\n### Abstract\n\n<p align=\"justify\">\nRecent methods generalize convolutional layers from Euclidean domains to graph-structured data by approximating the eigenbasis of the graph Laplacian. The computationally-efficient and broadly-used Graph ConvNet of Kipf & Welling, over-simplifies the approximation, effectively rendering graph convolution as a neighborhood-averaging operator. This simplification restricts the model from learning delta operators, the very premise of the graph Laplacian.  In this work, we propose a new Graph Convolutional layer which mixes multiple powers of the adjacency matrix, allowing it to learn delta operators. Our layer exhibits the same memory footprint and computational complexity as a GCN. We illustrate the strength of our proposed layer on both synthetic graph datasets, and on several real-world citation graphs, setting the record state-of-the-art on Pubmed.</p>\n\nThis repository provides a PyTorch implementation of MixHop and N-GCN as described in the papers:\n\n> MixHop: Higher-Order Graph Convolutional Architectures via Sparsified Neighborhood Mixing\n> Sami Abu-El-Haija, Bryan Perozzi, Amol Kapoor, Hrayr Harutyunyan, Nazanin Alipourfard, Kristina Lerman, Greg Ver Steeg, and Aram Galstyan.\n> ICML, 2019.\n> [[Paper]](https://arxiv.org/pdf/1905.00067.pdf)\n\n> A Higher-Order Graph Convolutional Layer.\n> Sami A Abu-El-Haija, Bryan Perozzi, Amol Kapoor, Nazanin Alipourfard, Hrayr Harutyunyan.\n> NeurIPS, 2018.\n> [[Paper]](http://sami.haija.org/papers/high-order-gc-layer.pdf)\n\nThe original TensorFlow implementation of MixHop is available [[Here]](https://github.com/samihaija/mixhop).\n\n### Requirements\nThe codebase is implemented in Python 3.5.2. package versions used for development are just below.\n```\nnetworkx          2.4\ntqdm              4.28.1\nnumpy             1.15.4\npandas            0.23.4\ntexttable         1.5.0\nscipy             1.1.0\nargparse          1.1.0\ntorch             1.1.0\ntorch-sparse      0.3.0\n```\n### Datasets\n<p align=\"justify\">\nThe code takes the **edge list** of the graph in a csv file. Every row indicates an edge between two nodes separated by a comma. The first row is a header. Nodes should be indexed starting with 0. A sample graph for `Cora` is included in the  `input/` directory. In addition to the edgelist there is a JSON file with the sparse features and a csv with the target variable.</p>\n<p align=\"justify\">\nThe **feature matrix** is a sparse binary one it is stored as a json. Nodes are keys of the json and feature indices are the values. For each node feature column ids are stored as elements of a list. The feature matrix is structured as:</p>\n\n```javascript\n{ 0: [0, 1, 38, 1968, 2000, 52727],\n  1: [10000, 20, 3],\n  2: [],\n  ...\n  n: [2018, 10000]}\n```\n<p align=\"justify\">\nThe **target vector** is a csv with two columns and headers, the first contains the node identifiers the second the targets. This csv is sorted by node identifiers and the target column contains the class meberships indexed from zero. </p>\n\n| **NODE ID**| **Target** |\n| --- | --- |\n| 0 | 3 |\n| 1 | 1 |\n| 2 | 0 |\n| 3 | 1 |\n| ... | ... |\n| n | 3 |\n\n### Options\n<p align=\"justify\">\nTraining an N-GCN/MixHop model is handled by the `src/main.py` script which provides the following command line arguments.</p>\n\n#### Input and output options\n```\n  --edge-path       STR    Edge list csv.         Default is `input/cora_edges.csv`.\n  --features-path   STR    Features json.         Default is `input/cora_features.json`.\n  --target-path     STR    Target classes csv.    Default is `input/cora_target.csv`.\n```\n#### Model options\n```\n  --model             STR     Model variant.                 Default is `mixhop`.               \n  --seed              INT     Random seed.                   Default is 42.\n  --epochs            INT     Number of training epochs.     Default is 2000.\n  --early-stopping    INT     Early stopping rounds.         Default is 10.\n  --training-size     INT     Training set size.             Default is 1500.\n  --validation-size   INT     Validation set size.           Default is 500.\n  --learning-rate     FLOAT   Adam learning rate.            Default is 0.01.\n  --dropout           FLOAT   Dropout rate value.            Default is 0.5.\n  --lambd             FLOAT   Regularization coefficient.    Default is 0.0005.\n  --layers-1          LST     Layer sizes (upstream).        Default is [200, 200, 200]. \n  --layers-2          LST     Layer sizes (bottom).          Default is [200, 200, 200].\n  --cut-off           FLOAT   Norm cut-off for pruning.      Default is 0.1.\n  --budget            INT     Architecture neuron budget.    Default is 60.\n```\n### Examples\n<p align=\"justify\">\nThe following commands learn a neural network and score on the test set. Training a model on the default dataset.</p>\n\n```sh\n$ python src/main.py\n```\n<p align=\"center\">\n<img style=\"float: center;\" src=\"mixhop.gif\">\n</p>\n\nTraining a MixHop model for a 100 epochs.\n```sh\n$ python src/main.py --epochs 100\n```\nIncreasing the learning rate and the dropout.\n```sh\n$ python src/main.py --learning-rate 0.1 --dropout 0.9\n```\nTraining a model with diffusion order 2:\n```sh\n$ python src/main.py --layers 64 64\n```\nTraining an N-GCN model:\n```sh\n$ python src/main.py --model ngcn\n```\n\n\n--------------------------------------------------------------------------------\n\n**License**\n\n- [GNU](https://github.com/benedekrozemberczki/MixHop-and-N-GCN/blob/master/LICENSE)\n\n--------------------------------------------------------------------------------\n"
  },
  {
    "path": "input/cora_edges.csv",
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2453\n1840,1013\n1840,1377\n1840,2071\n1841,408\n1841,734\n1841,736\n1841,1013\n1841,2056\n1842,120\n1842,816\n1842,1013\n1842,1203\n1842,1538\n1842,1655\n1842,1979\n1842,1980\n1842,2281\n1842,2405\n1843,415\n1843,1013\n1844,868\n1844,1013\n1844,2276\n1845,894\n1845,1013\n1846,1013\n1846,1701\n1846,1867\n1846,2117\n1846,2357\n1847,88\n1847,415\n1847,1013\n1848,325\n1848,1013\n1848,1224\n1848,1376\n1848,1652\n1848,1909\n1848,2419\n1849,56\n1849,412\n1849,447\n1849,1013\n1849,1487\n1849,1616\n1849,1914\n1850,32\n1850,415\n1850,666\n1850,1013\n1851,118\n1851,693\n1851,1013\n1851,1224\n1851,1661\n1851,2485\n1852,1701\n1852,2045\n1853,1701\n1854,1701\n1855,1171\n1855,1701\n1856,306\n1856,1335\n1856,1701\n1856,2045\n1856,2096\n1857,304\n1857,1701\n1857,1708\n1858,899\n1858,1701\n1859,1701\n1859,1986\n1860,1701\n1861,1701\n1862,0\n1862,926\n1862,1701\n1862,2582\n1863,532\n1863,1701\n1864,232\n1864,598\n1864,869\n1864,1701\n1865,311\n1865,1147\n1865,1701\n1866,633\n1866,1701\n1867,1701\n1867,1846\n1867,2117\n1868,231\n1868,316\n1868,766\n1868,1701\n1869,199\n1869,203\n1869,205\n1869,277\n1869,420\n1869,465\n1869,1097\n1869,1701\n1869,1810\n1869,2309\n1870,157\n1870,598\n1870,1701\n1870,1986\n1871,102\n1871,228\n1871,417\n1871,1701\n1872,1701\n1873,603\n1873,935\n1873,1701\n1873,1820\n1873,1986\n1874,722\n1874,1106\n1874,1567\n1874,1701\n1874,2500\n1874,2501\n1875,598\n1875,1701\n1875,1986\n1876,1701\n1876,1986\n1877,1701\n1877,2573\n1878,102\n1878,661\n1878,2256\n1879,490\n1879,578\n1879,661\n1879,1526\n1880,479\n1880,661\n1880,753\n1880,1269\n1881,661\n1881,735\n1881,739\n1881,1543\n1881,1958\n1882,88\n1882,514\n1882,516\n1882,661\n1882,1309\n1883,661\n1884,113\n1884,249\n1884,661\n1884,854\n1884,1885\n1884,1958\n1885,661\n1885,1884\n1885,2644\n1886,1103\n1886,1739\n1887,1103\n1887,1888\n1888,1103\n1888,1737\n1888,1887\n1889,429\n1889,1531\n1889,1890\n1889,1891\n1889,1892\n1889,1893\n1889,2034\n1889,2039\n1889,2130\n1890,1889\n1890,2130\n1891,1889\n1891,2034\n1891,2130\n1892,1580\n1892,1669\n1892,1889\n1893,920\n1893,1889\n1894,229\n1894,261\n1894,536\n1894,770\n1894,1049\n1894,1149\n1894,1215\n1894,1405\n1894,1479\n1894,1508\n1894,1655\n1894,2034\n1894,2117\n1894,2118\n1895,645\n1895,1566\n1896,541\n1896,709\n1896,793\n1896,1897\n1897,1896\n1897,1903\n1898,379\n1898,645\n1898,755\n1898,1713\n1899,388\n1899,645\n1899,1902\n1899,2491\n1899,2510\n1900,645\n1900,2608\n1901,119\n1901,645\n1901,1549\n1901,1954\n1901,2284\n1901,2286\n1902,264\n1902,448\n1902,793\n1902,844\n1902,1360\n1902,1478\n1902,1829\n1902,1899\n1902,1903\n1902,1904\n1903,709\n1903,793\n1903,840\n1903,1897\n1903,1902\n1903,1960\n1903,2269\n1903,2592\n1904,1360\n1904,1902\n1904,1960\n1905,210\n1905,1914\n1906,210\n1906,1703\n1906,1907\n1906,1964\n1906,2059\n1907,146\n1907,210\n1907,566\n1907,673\n1907,674\n1907,717\n1907,897\n1907,1906\n1908,88\n1908,211\n1908,415\n1908,1178\n1908,1474\n1908,1529\n1908,1677\n1909,211\n1909,239\n1909,1131\n1909,1171\n1909,1848\n1909,2305\n1910,121\n1910,1296\n1911,945\n1911,1296\n1911,1368\n1911,2553\n1912,435\n1912,995\n1912,1174\n1912,1296\n1912,1338\n1912,1609\n1912,1704\n1912,2102\n1912,2103\n1912,2404\n1913,35\n1913,440\n1913,895\n1913,1296\n1914,41\n1914,69\n1914,175\n1914,506\n1914,596\n1914,604\n1914,778\n1914,779\n1914,830\n1914,921\n1914,955\n1914,1079\n1914,1359\n1914,1362\n1914,1464\n1914,1485\n1914,1525\n1914,1539\n1914,1592\n1914,1674\n1914,1675\n1914,1676\n1914,1849\n1914,1905\n1914,1915\n1914,1916\n1914,1917\n1914,1918\n1914,1919\n1914,1920\n1914,2388\n1915,1914\n1915,2649\n1916,907\n1916,1535\n1916,1914\n1917,454\n1917,1914\n1917,2457\n1918,506\n1918,1914\n1919,778\n1919,779\n1919,1224\n1919,1370\n1919,1402\n1919,1914\n1920,69\n1920,1914\n1920,1926\n1920,2310\n1920,2422\n1920,2653\n1921,315\n1921,827\n1921,1416\n1922,1008\n1922,1416\n1923,1416\n1923,1927\n1924,942\n1924,1416\n1924,1927\n1925,1042\n1925,1416\n1925,2620\n1926,69\n1926,1042\n1926,1416\n1926,1920\n1926,2051\n1926,2052\n1926,2189\n1927,146\n1927,305\n1927,405\n1927,738\n1927,769\n1927,1152\n1927,1218\n1927,1435\n1927,1923\n1927,1924\n1927,1928\n1927,1929\n1927,1930\n1928,1344\n1928,1447\n1928,1927\n1928,2317\n1928,2475\n1929,1268\n1929,1671\n1929,1927\n1929,2034\n1930,1131\n1930,1927\n1931,507\n1931,1413\n1931,1542\n1932,402\n1932,1413\n1932,1936\n1933,251\n1933,507\n1933,1300\n1933,1413\n1934,338\n1934,1413\n1935,877\n1935,1176\n1935,1177\n1935,1413\n1935,1542\n1936,402\n1936,507\n1936,1413\n1936,1542\n1936,1932\n1937,548\n1937,1938\n1938,1937\n1939,19\n1939,1542\n1940,402\n1940,507\n1940,1300\n1940,1542\n1941,507\n1941,1300\n1941,1334\n1941,1542\n1941,2508\n1942,150\n1942,875\n1942,1542\n1943,1340\n1943,1542\n1944,310\n1944,336\n1944,352\n1944,1945\n1944,1946\n1944,1950\n1945,310\n1945,875\n1945,1272\n1945,1944\n1945,1946\n1945,1947\n1946,310\n1946,1944\n1946,1945\n1946,1950\n1947,310\n1947,1272\n1947,1945\n1947,1950\n1948,310\n1948,1819\n1948,1950\n1949,310\n1949,1221\n1950,310\n1950,336\n1950,875\n1950,892\n1950,1054\n1950,1241\n1950,1272\n1950,1334\n1950,1432\n1950,1605\n1950,1815\n1950,1944\n1950,1946\n1950,1947\n1950,1948\n1951,622\n1951,1952\n1951,2204\n1951,2206\n1952,622\n1952,788\n1952,942\n1952,1002\n1952,1031\n1952,1654\n1952,1951\n1952,2204\n1952,2205\n1952,2206\n1953,458\n1953,1470\n1953,1555\n1954,590\n1954,1128\n1954,1441\n1954,1901\n1954,1955\n1954,1956\n1954,1957\n1954,1958\n1954,2275\n1955,676\n1955,807\n1955,1168\n1955,1179\n1955,1226\n1955,1954\n1955,1956\n1955,2235\n1956,807\n1956,1226\n1956,1954\n1956,1955\n1957,979\n1957,1355\n1957,1441\n1957,1954\n1957,2241\n1957,2630\n1958,735\n1958,739\n1958,1237\n1958,1441\n1958,1881\n1958,1884\n1958,1954\n1959,119\n1959,132\n1959,379\n1959,904\n1959,2621\n1960,1360\n1960,1903\n1960,1904\n1960,2491\n1961,703\n1961,801\n1961,1022\n1962,1022\n1962,1276\n1962,1963\n1963,1022\n1963,1962\n1964,248\n1964,463\n1964,1906\n1964,1965\n1964,1966\n1965,39\n1965,1964\n1966,94\n1966,362\n1966,443\n1966,463\n1966,946\n1966,1010\n1966,1234\n1966,1569\n1966,1702\n1966,1703\n1966,1964\n1966,1971\n1967,275\n1967,1703\n1968,1671\n1968,1703\n1968,2034\n1969,1703\n1969,2236\n1969,2238\n1970,271\n1970,1702\n1970,1703\n1971,1702\n1971,1703\n1971,1966\n1972,1351\n1972,1402\n1972,1652\n1973,32\n1973,252\n1973,490\n1973,504\n1973,666\n1973,779\n1973,822\n1973,1333\n1973,1482\n1973,1525\n1973,1637\n1973,1683\n1973,1974\n1973,1975\n1973,1976\n1974,578\n1974,737\n1974,1973\n1975,1224\n1975,1370\n1975,1421\n1975,1676\n1975,1973\n1975,2109\n1975,2110\n1976,147\n1976,502\n1976,1973\n1977,436\n1977,1526\n1978,249\n1978,436\n1978,478\n1978,514\n1978,621\n1979,436\n1979,1842\n1979,1980\n1979,2178\n1979,2405\n1980,436\n1980,816\n1980,1842\n1980,1979\n1980,2405\n1981,436\n1981,490\n1981,1526\n1982,130\n1982,436\n1983,55\n1983,438\n1983,897\n1983,2034\n1984,438\n1984,651\n1984,1178\n1984,1266\n1984,1529\n1985,437\n1985,438\n1986,2\n1986,45\n1986,68\n1986,71\n1986,151\n1986,160\n1986,179\n1986,201\n1986,215\n1986,232\n1986,335\n1986,366\n1986,391\n1986,460\n1986,476\n1986,519\n1986,566\n1986,673\n1986,681\n1986,743\n1986,745\n1986,792\n1986,899\n1986,968\n1986,1023\n1986,1095\n1986,1127\n1986,1149\n1986,1166\n1986,1434\n1986,1453\n1986,1558\n1986,1574\n1986,1697\n1986,1704\n1986,1709\n1986,1812\n1986,1859\n1986,1870\n1986,1873\n1986,1875\n1986,1876\n1986,1987\n1986,1988\n1986,1989\n1986,1990\n1986,1991\n1986,1992\n1986,1993\n1986,1994\n1986,1995\n1986,1996\n1986,1997\n1986,1998\n1986,1999\n1986,2000\n1986,2001\n1986,2002\n1986,2003\n1986,2004\n1986,2005\n1986,2006\n1986,2007\n1986,2008\n1986,2009\n1987,1295\n1987,1986\n1987,2004\n1987,2509\n1988,396\n1988,1986\n1989,460\n1989,1986\n1990,1986\n1991,1986\n1991,2325\n1992,1185\n1992,1986\n1993,849\n1993,1986\n1994,169\n1994,1986\n1995,553\n1995,745\n1995,1583\n1995,1986\n1996,8\n1996,327\n1996,1986\n1996,2063\n1996,2064\n1997,1347\n1997,1986\n1997,2412\n1998,109\n1998,191\n1998,519\n1998,695\n1998,1197\n1998,1781\n1998,1986\n1998,2326\n1999,285\n1999,818\n1999,827\n1999,1986\n2000,160\n2000,267\n2000,314\n2000,1986\n2001,91\n2001,429\n2001,503\n2001,574\n2001,1986\n2001,2002\n2001,2003\n2001,2044\n2001,2121\n2001,2123\n2001,2335\n2001,2348\n2001,2378\n2001,2379\n2001,2380\n2001,2381\n2002,1986\n2002,2001\n2002,2379\n2003,185\n2003,332\n2003,1986\n2003,2001\n2003,2123\n2004,180\n2004,316\n2004,1986\n2004,1987\n2005,1986\n2006,746\n2006,1986\n2006,2477\n2007,1986\n2008,733\n2008,1986\n2008,2301\n2009,160\n2009,553\n2009,745\n2009,1986\n2009,2025\n2010,88\n2010,118\n2010,161\n2010,2016\n2011,25\n2011,88\n2011,733\n2012,88\n2012,272\n2013,88\n2013,471\n2014,88\n2014,415\n2015,88\n2015,1309\n2015,2071\n2016,88\n2016,842\n2016,973\n2016,2010\n2016,2071\n2017,88\n2017,130\n2017,815\n2017,1487\n2017,2467\n2018,76\n2018,356\n2018,621\n2018,815\n2018,851\n2018,1658\n2018,2019\n2019,973\n2019,2018\n2020,55\n2020,323\n2021,55\n2021,65\n2021,239\n2021,1628\n2021,2418\n2022,323\n2022,454\n2022,2190\n2023,651\n2023,1512\n2023,2217\n2024,478\n2024,651\n2024,885\n2024,1332\n2024,2156\n2024,2178\n2025,149\n2025,572\n2025,671\n2025,1110\n2025,1120\n2025,1357\n2025,1498\n2025,1583\n2025,2009\n2025,2026\n2025,2027\n2025,2028\n2026,487\n2026,2025\n2026,2045\n2026,2096\n2027,938\n2027,1239\n2027,2025\n2027,2360\n2028,2025\n2029,472\n2029,1543\n2029,1579\n2030,118\n2030,903\n2030,2112\n2031,903\n2031,2436\n2032,1336\n2033,740\n2033,788\n2033,1002\n2033,1336\n2034,14\n2034,49\n2034,86\n2034,141\n2034,158\n2034,224\n2034,382\n2034,417\n2034,617\n2034,691\n2034,791\n2034,841\n2034,1002\n2034,1026\n2034,1270\n2034,1273\n2034,1319\n2034,1336\n2034,1448\n2034,1497\n2034,1614\n2034,1654\n2034,1665\n2034,1807\n2034,1812\n2034,1889\n2034,1891\n2034,1894\n2034,1929\n2034,1968\n2034,1983\n2034,2035\n2034,2036\n2034,2037\n2034,2038\n2034,2039\n2034,2040\n2034,2041\n2034,2042\n2034,2130\n2035,733\n2035,1324\n2035,2034\n2036,833\n2036,2034\n2037,180\n2037,2034\n2038,293\n2038,2034\n2039,1889\n2039,2034\n2039,2042\n2040,33\n2040,2034\n2040,2120\n2040,2122\n2041,48\n2041,429\n2041,788\n2041,2034\n2042,2034\n204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  },
  {
    "path": "input/cora_target.csv",
    "content": 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87,6\n1388,0\n1389,2\n1390,4\n1391,0\n1392,3\n1393,3\n1394,5\n1395,0\n1396,6\n1397,0\n1398,2\n1399,6\n1400,3\n1401,4\n1402,6\n1403,3\n1404,5\n1405,3\n1406,4\n1407,2\n1408,5\n1409,5\n1410,0\n1411,3\n1412,2\n1413,3\n1414,5\n1415,5\n1416,0\n1417,4\n1418,4\n1419,4\n1420,6\n1421,6\n1422,4\n1423,3\n1424,3\n1425,4\n1426,2\n1427,2\n1428,4\n1429,4\n1430,2\n1431,2\n1432,3\n1433,2\n1434,3\n1435,0\n1436,5\n1437,4\n1438,3\n1439,3\n1440,3\n1441,5\n1442,3\n1443,4\n1444,2\n1445,3\n1446,3\n1447,3\n1448,1\n1449,4\n1450,3\n1451,4\n1452,4\n1453,3\n1454,4\n1455,5\n1456,3\n1457,3\n1458,3\n1459,1\n1460,3\n1461,4\n1462,3\n1463,3\n1464,6\n1465,3\n1466,2\n1467,0\n1468,0\n1469,3\n1470,5\n1471,2\n1472,3\n1473,3\n1474,4\n1475,0\n1476,6\n1477,3\n1478,5\n1479,3\n1480,2\n1481,4\n1482,6\n1483,2\n1484,4\n1485,6\n1486,2\n1487,6\n1488,3\n1489,2\n1490,1\n1491,4\n1492,2\n1493,4\n1494,5\n1495,6\n1496,3\n1497,3\n1498,3\n1499,2\n1500,5\n1501,6\n1502,3\n1503,3\n1504,6\n1505,1\n1506,2\n1507,0\n1508,3\n1509,2\n1510,4\n1511,3\n1512,5\n1513,2\n1514,3\n1515,0\n1516,2\n1517,0\n1518,4\n1519,4\n1520,2\n1521,0\n1522,4\n1523,0\n1524,0\n1525,6\n1526,0\n1527,0\n1528,2\n1529,4\n1530,4\n1531,4\n1532,4\n1533,4\n1534,4\n1535,0\n1536,0\n1537,5\n1538,5\n1539,6\n1540,0\n1541,3\n1542,3\n1543,5\n1544,5\n1545,4\n1546,2\n1547,1\n1548,3\n1549,5\n1550,2\n1551,1\n1552,1\n1553,5\n1554,3\n1555,5\n1556,0\n1557,2\n1558,3\n1559,4\n1560,1\n1561,1\n1562,2\n1563,3\n1564,1\n1565,2\n1566,2\n1567,3\n1568,2\n1569,4\n1570,3\n1571,1\n1572,1\n1573,3\n1574,3\n1575,3\n1576,3\n1577,3\n1578,5\n1579,5\n1580,0\n1581,3\n1582,3\n1583,0\n1584,1\n1585,4\n1586,2\n1587,6\n1588,0\n1589,2\n1590,3\n1591,3\n1592,6\n1593,6\n1594,5\n1595,3\n1596,2\n1597,3\n1598,3\n1599,2\n1600,3\n1601,2\n1602,0\n1603,3\n1604,2\n1605,3\n1606,2\n1607,3\n1608,3\n1609,1\n1610,2\n1611,3\n1612,2\n1613,3\n1614,3\n1615,3\n1616,6\n1617,2\n1618,4\n1619,5\n1620,1\n1621,3\n1622,3\n1623,1\n1624,1\n1625,2\n1626,4\n1627,2\n1628,0\n1629,2\n1630,5\n1631,0\n1632,2\n1633,3\n1634,4\n1635,4\n1636,3\n1637,0\n1638,1\n1639,4\n1640,1\n1641,3\n1642,2\n1643,4\n1644,0\n1645,3\n1646,2\n1647,6\n1648,2\n1649,4\n1650,5\n1651,1\n1652,0\n1653,4\n1654,3\n1655,0\n1656,1\n1657,3\n1658,0\n1659,2\n1660,6\n1661,5\n1662,3\n1663,3\n1664,3\n1665,3\n1666,3\n1667,4\n1668,2\n1669,0\n1670,1\n1671,4\n1672,0\n1673,3\n1674,6\n1675,6\n1676,6\n1677,5\n1678,3\n1679,3\n1680,0\n1681,3\n1682,0\n1683,6\n1684,3\n1685,2\n1686,4\n1687,2\n1688,4\n1689,2\n1690,5\n1691,3\n1692,3\n1693,0\n1694,2\n1695,0\n1696,0\n1697,3\n1698,6\n1699,1\n1700,5\n1701,3\n1702,4\n1703,4\n1704,3\n1705,1\n1706,2\n1707,5\n1708,3\n1709,2\n1710,2\n1711,2\n1712,2\n1713,0\n1714,2\n1715,2\n1716,2\n1717,2\n1718,2\n1719,2\n1720,2\n1721,2\n1722,2\n1723,2\n1724,2\n1725,2\n1726,2\n1727,2\n1728,3\n1729,2\n1730,2\n1731,2\n1732,2\n1733,2\n1734,2\n1735,1\n1736,2\n1737,2\n1738,2\n1739,2\n1740,2\n1741,3\n1742,2\n1743,2\n1744,2\n1745,2\n1746,2\n1747,2\n1748,2\n1749,2\n1750,2\n1751,2\n1752,2\n1753,2\n1754,2\n1755,2\n1756,2\n1757,2\n1758,2\n1759,2\n1760,2\n1761,2\n1762,2\n1763,2\n1764,5\n1765,2\n1766,2\n1767,1\n1768,1\n1769,1\n1770,1\n1771,1\n1772,1\n1773,1\n1774,4\n1775,1\n1776,1\n1777,1\n1778,1\n1779,1\n1780,1\n1781,1\n1782,1\n1783,1\n1784,1\n1785,4\n1786,1\n1787,1\n1788,1\n1789,1\n1790,1\n1791,1\n1792,3\n1793,4\n1794,4\n1795,4\n1796,4\n1797,1\n1798,1\n1799,3\n1800,1\n1801,0\n1802,3\n1803,0\n1804,2\n1805,1\n1806,3\n1807,3\n1808,3\n1809,3\n1810,3\n1811,3\n1812,3\n1813,3\n1814,3\n1815,3\n1816,3\n1817,3\n1818,3\n1819,3\n1820,3\n1821,3\n1822,3\n1823,3\n1824,5\n1825,5\n1826,5\n1827,5\n1828,5\n1829,5\n1830,2\n1831,2\n1832,2\n1833,2\n1834,1\n1835,6\n1836,6\n1837,3\n1838,0\n1839,0\n1840,5\n1841,0\n1842,5\n1843,0\n1844,3\n1845,5\n1846,3\n1847,0\n1848,0\n1849,6\n1850,0\n1851,6\n1852,3\n1853,3\n1854,1\n1855,3\n1856,1\n1857,3\n1858,3\n1859,3\n1860,3\n1861,3\n1862,3\n1863,3\n1864,3\n1865,3\n1866,3\n1867,3\n1868,3\n1869,3\n1870,3\n1871,3\n1872,3\n1873,3\n1874,3\n1875,3\n1876,3\n1877,3\n1878,5\n1879,5\n1880,5\n1881,5\n1882,5\n1883,5\n1884,5\n1885,5\n1886,2\n1887,2\n1888,2\n1889,4\n1890,4\n1891,4\n1892,0\n1893,3\n1894,3\n1895,2\n1896,5\n1897,5\n1898,5\n1899,5\n1900,6\n1901,5\n1902,5\n1903,5\n1904,5\n1905,0\n1906,4\n1907,4\n1908,4\n1909,0\n1910,0\n1911,5\n1912,0\n1913,0\n1914,6\n1915,6\n1916,6\n1917,6\n1918,6\n1919,6\n1920,0\n1921,0\n1922,0\n1923,0\n1924,3\n1925,0\n1926,0\n1927,0\n1928,3\n1929,3\n1930,0\n1931,3\n1932,3\n1933,3\n1934,3\n1935,3\n1936,3\n1937,3\n1938,3\n1939,3\n1940,3\n1941,3\n1942,3\n1943,3\n1944,3\n1945,3\n1946,3\n1947,3\n1948,3\n1949,3\n1950,3\n1951,3\n1952,3\n1953,5\n1954,5\n1955,5\n1956,5\n1957,3\n1958,5\n1959,5\n1960,5\n1961,5\n1962,5\n1963,5\n1964,4\n1965,4\n1966,4\n1967,4\n1968,4\n1969,4\n1970,4\n1971,4\n1972,6\n1973,6\n1974,5\n1975,6\n1976,6\n1977,3\n1978,5\n1979,5\n1980,5\n1981,0\n1982,5\n1983,0\n1984,4\n1985,4\n1986,3\n1987,3\n1988,3\n1989,2\n1990,2\n1991,1\n1992,3\n1993,3\n1994,3\n1995,3\n1996,3\n1997,3\n1998,5\n1999,3\n2000,3\n2001,4\n2002,4\n2003,3\n2004,3\n2005,3\n2006,3\n2007,3\n2008,3\n2009,3\n2010,0\n2011,3\n2012,3\n2013,6\n2014,3\n2015,6\n2016,0\n2017,5\n2018,0\n2019,0\n2020,4\n2021,0\n2022,6\n2023,5\n2024,5\n2025,0\n2026,1\n2027,3\n2028,3\n2029,5\n2030,6\n2031,5\n2032,3\n2033,3\n2034,4\n2035,3\n2036,3\n2037,3\n2038,3\n2039,3\n2040,4\n2041,3\n2042,3\n2043,4\n2044,3\n2045,1\n2046,1\n2047,0\n2048,1\n2049,0\n2050,6\n2051,0\n2052,0\n2053,0\n2054,0\n2055,0\n2056,0\n2057,0\n2058,5\n2059,0\n2060,5\n2061,5\n2062,5\n2063,3\n2064,3\n2065,3\n2066,3\n2067,3\n2068,0\n2069,0\n2070,0\n2071,2\n2072,0\n2073,0\n2074,0\n2075,3\n2076,3\n2077,3\n2078,3\n2079,1\n2080,1\n2081,1\n2082,1\n2083,2\n2084,1\n2085,1\n2086,1\n2087,1\n2088,1\n2089,0\n2090,1\n2091,3\n2092,1\n2093,1\n2094,1\n2095,1\n2096,1\n2097,0\n2098,0\n2099,0\n2100,5\n2101,5\n2102,5\n2103,5\n2104,3\n2105,5\n2106,1\n2107,1\n2108,3\n2109,6\n2110,6\n2111,5\n2112,6\n2113,2\n2114,3\n2115,3\n2116,0\n2117,3\n2118,3\n2119,3\n2120,4\n2121,4\n2122,4\n2123,4\n2124,3\n2125,3\n2126,3\n2127,4\n2128,3\n2129,3\n2130,4\n2131,0\n2132,6\n2133,0\n2134,6\n2135,6\n2136,0\n2137,0\n2138,3\n2139,3\n2140,3\n2141,3\n2142,3\n2143,1\n2144,1\n2145,1\n2146,3\n2147,3\n2148,3\n2149,3\n2150,5\n2151,6\n2152,3\n2153,4\n2154,6\n2155,0\n2156,0\n2157,6\n2158,6\n2159,6\n2160,6\n2161,6\n2162,3\n2163,3\n2164,6\n2165,6\n2166,5\n2167,2\n2168,1\n2169,2\n2170,1\n2171,0\n2172,0\n2173,6\n2174,6\n2175,2\n2176,3\n2177,3\n2178,5\n2179,0\n2180,0\n2181,0\n2182,0\n2183,0\n2184,5\n2185,5\n2186,0\n2187,3\n2188,5\n2189,0\n2190,6\n2191,3\n2192,6\n2193,0\n2194,0\n2195,0\n2196,0\n2197,0\n2198,0\n2199,0\n2200,0\n2201,0\n2202,0\n2203,0\n2204,3\n2205,3\n2206,3\n2207,3\n2208,1\n2209,6\n2210,1\n2211,0\n2212,3\n2213,3\n2214,3\n2215,3\n2216,3\n2217,6\n2218,1\n2219,0\n2220,2\n2221,2\n2222,4\n2223,4\n2224,4\n2225,4\n2226,4\n2227,5\n2228,6\n2229,3\n2230,3\n2231,0\n2232,0\n2233,0\n2234,0\n2235,5\n2236,4\n2237,4\n2238,4\n2239,4\n2240,4\n2241,3\n2242,3\n2243,3\n2244,3\n2245,3\n2246,0\n2247,3\n2248,4\n2249,4\n2250,4\n2251,1\n2252,1\n2253,3\n2254,1\n2255,1\n2256,5\n2257,1\n2258,3\n2259,4\n2260,4\n2261,4\n2262,4\n2263,4\n2264,4\n2265,4\n2266,0\n2267,0\n2268,0\n2269,5\n2270,5\n2271,5\n2272,5\n2273,5\n2274,0\n2275,5\n2276,3\n2277,0\n2278,6\n2279,2\n2280,0\n2281,5\n2282,3\n2283,3\n2284,5\n2285,5\n2286,5\n2287,5\n2288,5\n2289,4\n2290,4\n2291,0\n2292,4\n2293,0\n2294,4\n2295,0\n2296,3\n2297,4\n2298,4\n2299,4\n2300,1\n2301,3\n2302,3\n2303,3\n2304,3\n2305,3\n2306,4\n2307,2\n2308,3\n2309,3\n2310,3\n2311,0\n2312,0\n2313,2\n2314,3\n2315,3\n2316,3\n2317,3\n2318,1\n2319,1\n2320,3\n2321,0\n2322,1\n2323,4\n2324,1\n2325,1\n2326,1\n2327,1\n2328,1\n2329,1\n2330,0\n2331,1\n2332,0\n2333,0\n2334,2\n2335,4\n2336,4\n2337,4\n2338,3\n2339,3\n2340,3\n2341,4\n2342,0\n2343,3\n2344,3\n2345,3\n2346,3\n2347,0\n2348,3\n2349,3\n2350,4\n2351,4\n2352,4\n2353,4\n2354,4\n2355,4\n2356,0\n2357,4\n2358,3\n2359,2\n2360,0\n2361,3\n2362,4\n2363,5\n2364,0\n2365,2\n2366,2\n2367,3\n2368,3\n2369,3\n2370,3\n2371,3\n2372,2\n2373,3\n2374,5\n2375,5\n2376,4\n2377,1\n2378,4\n2379,4\n2380,4\n2381,3\n2382,4\n2383,4\n2384,0\n2385,4\n2386,4\n2387,4\n2388,5\n2389,2\n2390,2\n2391,2\n2392,2\n2393,4\n2394,6\n2395,6\n2396,6\n2397,6\n2398,3\n2399,4\n2400,4\n2401,4\n2402,1\n2403,3\n2404,0\n2405,3\n2406,3\n2407,5\n2408,0\n2409,2\n2410,3\n2411,3\n2412,3\n2413,3\n2414,3\n2415,2\n2416,4\n2417,4\n2418,0\n2419,0\n2420,3\n2421,2\n2422,6\n2423,6\n2424,0\n2425,3\n2426,3\n2427,3\n2428,5\n2429,1\n2430,3\n2431,4\n2432,4\n2433,2\n2434,4\n2435,4\n2436,4\n2437,3\n2438,3\n2439,2\n2440,2\n2441,2\n2442,2\n2443,2\n2444,2\n2445,2\n2446,2\n2447,2\n2448,2\n2449,0\n2450,2\n2451,2\n2452,2\n2453,0\n2454,6\n2455,6\n2456,5\n2457,6\n2458,6\n2459,3\n2460,2\n2461,6\n2462,3\n2463,4\n2464,4\n2465,4\n2466,2\n2467,6\n2468,6\n2469,0\n2470,0\n2471,3\n2472,0\n2473,4\n2474,4\n2475,3\n2476,2\n2477,3\n2478,1\n2479,6\n2480,6\n2481,5\n2482,3\n2483,4\n2484,3\n2485,5\n2486,3\n2487,1\n2488,1\n2489,3\n2490,4\n2491,5\n2492,2\n2493,3\n2494,3\n2495,3\n2496,4\n2497,5\n2498,4\n2499,0\n2500,3\n2501,3\n2502,0\n2503,2\n2504,1\n2505,1\n2506,5\n2507,2\n2508,3\n2509,3\n2510,5\n2511,0\n2512,2\n2513,3\n2514,2\n2515,2\n2516,5\n2517,5\n2518,4\n2519,3\n2520,4\n2521,3\n2522,2\n2523,2\n2524,4\n2525,2\n2526,4\n2527,5\n2528,5\n2529,3\n2530,2\n2531,3\n2532,1\n2533,0\n2534,3\n2535,3\n2536,4\n2537,5\n2538,4\n2539,3\n2540,3\n2541,3\n2542,3\n2543,3\n2544,0\n2545,1\n2546,2\n2547,4\n2548,4\n2549,4\n2550,3\n2551,3\n2552,3\n2553,5\n2554,2\n2555,3\n2556,2\n2557,2\n2558,2\n2559,3\n2560,2\n2561,2\n2562,0\n2563,4\n2564,4\n2565,3\n2566,3\n2567,3\n2568,3\n2569,3\n2570,3\n2571,3\n2572,3\n2573,3\n2574,3\n2575,0\n2576,0\n2577,3\n2578,0\n2579,3\n2580,0\n2581,2\n2582,3\n2583,4\n2584,1\n2585,2\n2586,5\n2587,4\n2588,3\n2589,3\n2590,3\n2591,1\n2592,5\n2593,3\n2594,4\n2595,3\n2596,2\n2597,2\n2598,1\n2599,3\n2600,3\n2601,3\n2602,3\n2603,3\n2604,6\n2605,3\n2606,3\n2607,3\n2608,6\n2609,3\n2610,3\n2611,3\n2612,2\n2613,3\n2614,2\n2615,4\n2616,2\n2617,4\n2618,2\n2619,2\n2620,1\n2621,5\n2622,6\n2623,4\n2624,3\n2625,3\n2626,3\n2627,2\n2628,5\n2629,3\n2630,3\n2631,4\n2632,3\n2633,3\n2634,3\n2635,3\n2636,3\n2637,4\n2638,6\n2639,0\n2640,3\n2641,2\n2642,2\n2643,2\n2644,5\n2645,4\n2646,4\n2647,4\n2648,4\n2649,6\n2650,3\n2651,2\n2652,2\n2653,0\n2654,2\n2655,2\n2656,2\n2657,2\n2658,2\n2659,3\n2660,4\n2661,4\n2662,4\n2663,3\n2664,3\n2665,4\n2666,4\n2667,3\n2668,3\n2669,3\n2670,4\n2671,4\n2672,4\n2673,4\n2674,4\n2675,4\n2676,3\n2677,4\n2678,4\n2679,4\n2680,4\n2681,4\n2682,4\n2683,4\n2684,4\n2685,2\n2686,3\n2687,3\n2688,3\n2689,2\n2690,6\n2691,2\n2692,3\n2693,3\n2694,4\n2695,4\n2696,3\n2697,3\n2698,3\n2699,3\n2700,3\n2701,3\n2702,0\n2703,3\n2704,3\n2705,3\n2706,3\n2707,3\n"
  },
  {
    "path": "src/layers.py",
    "content": "\"\"\"NGCN and DenseNGCN layers.\"\"\"\n\nimport math\nimport torch\nfrom torch_sparse import spmm\n\ndef uniform(size, tensor):\n    \"\"\"\n    Uniform weight initialization.\n    :param size: Size of the tensor.\n    :param tensor: Tensor initialized.\n    \"\"\"\n    stdv = 1.0 / math.sqrt(size)\n    if tensor is not None:\n        tensor.data.uniform_(-stdv, stdv)\n\nclass SparseNGCNLayer(torch.nn.Module):\n    \"\"\"\n    Multi-scale Sparse Feature Matrix GCN layer.\n    :param in_channels: Number of features.\n    :param out_channels: Number of filters.\n    :param iterations: Adjacency matrix power order.\n    :param dropout_rate: Dropout value.\n    \"\"\"\n    def __init__(self, in_channels, out_channels, iterations, dropout_rate):\n        super(SparseNGCNLayer, self).__init__()\n        self.in_channels = in_channels\n        self.out_channels = out_channels\n        self.iterations = iterations\n        self.dropout_rate = dropout_rate\n        self.define_parameters()\n        self.init_parameters()\n\n    def define_parameters(self):\n        \"\"\"\n        Defining the weight matrices.\n        \"\"\"\n        self.weight_matrix = torch.nn.Parameter(torch.Tensor(self.in_channels, self.out_channels))\n        self.bias = torch.nn.Parameter(torch.Tensor(1, self.out_channels))\n\n    def init_parameters(self):\n        \"\"\"\n        Initializing weights.\n        \"\"\"\n        torch.nn.init.xavier_uniform_(self.weight_matrix)\n        torch.nn.init.xavier_uniform_(self.bias)\n\n    def forward(self, normalized_adjacency_matrix, features):\n        \"\"\"\n        Doing a forward pass.\n        :param normalized_adjacency_matrix: Normalized adjacency matrix.\n        :param features: Feature matrix.\n        :return base_features: Convolved features.\n        \"\"\"\n        feature_count, _ = torch.max(features[\"indices\"],dim=1)\n        feature_count = feature_count + 1\n        base_features = spmm(features[\"indices\"], features[\"values\"], feature_count[0],\n                             feature_count[1], self.weight_matrix)\n\n        base_features = base_features + self.bias\n\n        base_features = torch.nn.functional.dropout(base_features,\n                                                    p=self.dropout_rate,\n                                                    training=self.training)\n\n        base_features = torch.nn.functional.relu(base_features)\n        for _ in range(self.iterations-1):\n            base_features = spmm(normalized_adjacency_matrix[\"indices\"],\n                                 normalized_adjacency_matrix[\"values\"],\n                                 base_features.shape[0],\n                                 base_features.shape[0],\n                                 base_features)\n        return base_features\n\nclass DenseNGCNLayer(torch.nn.Module):\n    \"\"\"\n    Multi-scale Dense Feature Matrix GCN layer.\n    :param in_channels: Number of features.\n    :param out_channels: Number of filters.\n    :param iterations: Adjacency matrix power order.\n    :param dropout_rate: Dropout value.\n    \"\"\"\n    def __init__(self, in_channels, out_channels, iterations, dropout_rate):\n        super(DenseNGCNLayer, self).__init__()\n        self.in_channels = in_channels\n        self.out_channels = out_channels\n        self.iterations = iterations\n        self.dropout_rate = dropout_rate\n        self.define_parameters()\n        self.init_parameters()\n\n    def define_parameters(self):\n        \"\"\"\n        Defining the weight matrices.\n        \"\"\"\n        self.weight_matrix = torch.nn.Parameter(torch.Tensor(self.in_channels, self.out_channels))\n        self.bias = torch.nn.Parameter(torch.Tensor(1, self.out_channels))\n\n    def init_parameters(self):\n        \"\"\"\n        Initializing weights.\n        \"\"\"\n        torch.nn.init.xavier_uniform_(self.weight_matrix)\n        torch.nn.init.xavier_uniform_(self.bias)\n\n    def forward(self, normalized_adjacency_matrix, features):\n        \"\"\"\n        Doing a forward pass.\n        :param normalized_adjacency_matrix: Normalized adjacency matrix.\n        :param features: Feature matrix.\n        :return base_features: Convolved features.\n        \"\"\"\n        base_features = torch.mm(features, self.weight_matrix)\n        base_features = torch.nn.functional.dropout(base_features,\n                                                    p=self.dropout_rate,\n                                                    training=self.training)\n        for _ in range(self.iterations-1):\n            base_features = spmm(normalized_adjacency_matrix[\"indices\"],\n                                 normalized_adjacency_matrix[\"values\"],\n                                 base_features.shape[0],\n                                 base_features.shape[0],\n                                 base_features)\n        base_features = base_features + self.bias\n        return base_features\n\nclass ListModule(torch.nn.Module):\n    \"\"\"\n    Abstract list layer class.\n    \"\"\"\n    def __init__(self, *args):\n        \"\"\"\n        Module initializing.\n        \"\"\"\n        super(ListModule, self).__init__()\n        idx = 0\n        for module in args:\n            self.add_module(str(idx), module)\n            idx += 1\n\n    def __getitem__(self, idx):\n        \"\"\"\n        Getting the indexed layer.\n        \"\"\"\n        if idx < 0 or idx >= len(self._modules):\n            raise IndexError('index {} is out of range'.format(idx))\n        it = iter(self._modules.values())\n        for i in range(idx):\n            next(it)\n        return next(it)\n\n    def __iter__(self):\n        \"\"\"\n        Iterating on the layers.\n        \"\"\"\n        return iter(self._modules.values())\n\n    def __len__(self):\n        \"\"\"\n        Number of layers.\n        \"\"\"\n        return len(self._modules)\n"
  },
  {
    "path": "src/main.py",
    "content": "\"\"\"Running MixHop or N-GCN.\"\"\"\n\nimport torch\nfrom param_parser import parameter_parser\nfrom trainer_and_networks import Trainer\nfrom utils import tab_printer, graph_reader, feature_reader, target_reader\n\ndef main():\n    \"\"\"\n    Parsing command line parameters, reading data.\n    Fitting an NGCN and scoring the model.\n    \"\"\"\n    args = parameter_parser()\n    torch.manual_seed(args.seed)\n    tab_printer(args)\n    graph = graph_reader(args.edge_path)\n    features = feature_reader(args.features_path)\n    target = target_reader(args.target_path)\n    trainer = Trainer(args, graph, features, target, True)\n    trainer.fit()\n    if args.model == \"mixhop\":\n        trainer.evaluate_architecture()\n        args = trainer.reset_architecture()\n        trainer = Trainer(args, graph, features, target, False)\n        trainer.fit()\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "src/param_parser.py",
    "content": "\"\"\"Parameter parsing.\"\"\"\n\nimport argparse\n\ndef parameter_parser():\n    \"\"\"\n    A method to parse up command line parameters. By default it trains on the Cora dataset.\n    The default hyperparameters give a good quality representation without grid search.\n    \"\"\"\n    parser = argparse.ArgumentParser(description=\"Run MixHop/N-GCN.\")\n\n    parser.add_argument(\"--edge-path\",\n                        nargs=\"?\",\n                        default=\"./input/cora_edges.csv\",\n\t                help=\"Edge list csv.\")\n\n    parser.add_argument(\"--features-path\",\n                        nargs=\"?\",\n                        default=\"./input/cora_features.json\",\n\t                help=\"Features json.\")\n\n    parser.add_argument(\"--target-path\",\n                        nargs=\"?\",\n                        default=\"./input/cora_target.csv\",\n\t                help=\"Target classes csv.\")\n\n    parser.add_argument(\"--model\",\n                        nargs=\"?\",\n                        default=\"mixhop\",\n\t                help=\"Target classes csv.\")\n\n    parser.add_argument(\"--epochs\",\n                        type=int,\n                        default=2000,\n\t                help=\"Number of training epochs. Default is 2000.\")\n\n    parser.add_argument(\"--seed\",\n                        type=int,\n                        default=42,\n\t                help=\"Random seed for train-test split. Default is 42.\")\n\n    parser.add_argument(\"--early-stopping\",\n                        type=int,\n                        default=10,\n\t                help=\"Number of early stopping rounds. Default is 10.\")\n\n    parser.add_argument(\"--training-size\",\n                        type=int,\n                        default=1500,\n\t                help=\"Training set size. Default is 1500.\")\n\n    parser.add_argument(\"--validation-size\",\n                        type=int,\n                        default=500,\n\t                help=\"Validation set size. Default is 500.\")\n\n    parser.add_argument(\"--dropout\",\n                        type=float,\n                        default=0.5,\n\t                help=\"Dropout parameter. Default is 0.5.\")\n\n    parser.add_argument(\"--learning-rate\",\n                        type=float,\n                        default=0.01,\n\t                help=\"Learning rate. Default is 0.01.\")\n\n    parser.add_argument(\"--cut-off\",\n                        type=float,\n                        default=0.1,\n\t                help=\"Weight cut-off. Default is 0.1.\")\n\n    parser.add_argument(\"--lambd\",\n                        type=float,\n                        default=0.0005,\n\t                help=\"L2 regularization coefficient. Default is 0.0005.\")\n\n    parser.add_argument(\"--layers-1\",\n                        nargs=\"+\",\n                        type=int,\n                        help=\"Layer dimensions separated by space (top). E.g. 200 20.\")\n\n    parser.add_argument(\"--layers-2\",\n                        nargs=\"+\",\n                        type=int,\n                        help=\"Layer dimensions separated by space (bottom). E.g. 200 200.\")\n\n    parser.add_argument(\"--budget\",\n                        type=int,\n                        default=60,\n                        help=\"Architecture neuron allocation budget. Default is 60.\")\n\n    parser.set_defaults(layers_1=[200, 200, 200])\n    parser.set_defaults(layers_2=[200, 200, 200])\n    \n    return parser.parse_args()\n"
  },
  {
    "path": "src/trainer_and_networks.py",
    "content": "import torch\nimport random\nfrom tqdm import trange\nfrom utils import create_propagator_matrix\nfrom layers import SparseNGCNLayer, DenseNGCNLayer, ListModule\n\nclass NGCNNetwork(torch.nn.Module):\n    \"\"\"\n    Higher Order Graph Convolutional Model.\n    :param args: Arguments object.\n    :param feature_number: Feature input number.\n    :param class_number: Target class number.\n    \"\"\"\n    def __init__(self, args, feature_number, class_number):\n        super(NGCNNetwork, self).__init__()\n        self.args = args\n        self.feature_number = feature_number\n        self.class_number = class_number\n        self.order = len(self.args.layers_1)\n        self.setup_layer_structure()\n\n    def setup_layer_structure(self):\n        \"\"\"\n        Creating the layer structure (3 convolutional layers) and dense final.\n        \"\"\"\n        self.main_layers = [SparseNGCNLayer(self.feature_number, self.args.layers_1[i-1], i, self.args.dropout) for i in range(1, self.order+1)]\n        self.main_layers = ListModule(*self.main_layers)\n        self.fully_connected = torch.nn.Linear(sum(self.args.layers_1), self.class_number)\n\n    def forward(self, normalized_adjacency_matrix, features):\n        \"\"\"\n        Forward pass.\n        :param normalized adjacency_matrix: Target matrix as a dict with indices and values.\n        :param features: Feature matrix.\n        :return predictions: Label predictions.\n        \"\"\"\n        abstract_features = [self.main_layers[i](normalized_adjacency_matrix, features) for i in range(self.order)]\n        abstract_features = torch.cat(abstract_features, dim=1)\n        predictions = torch.nn.functional.log_softmax(self.fully_connected(abstract_features), dim=1)\n        return predictions\n\nclass MixHopNetwork(torch.nn.Module):\n    \"\"\"\n    MixHop: Higher-Order Graph Convolutional Architectures via Sparsified Neighborhood Mixing.\n    :param args: Arguments object.\n    :param feature_number: Feature input number.\n    :param class_number: Target class number.\n    \"\"\"\n    def __init__(self, args, feature_number, class_number):\n        super(MixHopNetwork, self).__init__()\n        self.args = args\n        self.feature_number = feature_number\n        self.class_number = class_number\n        self.calculate_layer_sizes()\n        self.setup_layer_structure()\n\n    def calculate_layer_sizes(self):\n        self.abstract_feature_number_1 = sum(self.args.layers_1)\n        self.abstract_feature_number_2 = sum(self.args.layers_2)\n        self.order_1 = len(self.args.layers_1)\n        self.order_2 = len(self.args.layers_2)\n\n    def setup_layer_structure(self):\n        \"\"\"\n        Creating the layer structure (3 convolutional upper layers, 3 bottom layers) and dense final.\n        \"\"\"\n        self.upper_layers = [SparseNGCNLayer(self.feature_number, self.args.layers_1[i-1], i, self.args.dropout) for i in range(1, self.order_1+1)]\n        self.upper_layers = ListModule(*self.upper_layers)\n        self.bottom_layers = [DenseNGCNLayer(self.abstract_feature_number_1, self.args.layers_2[i-1], i, self.args.dropout) for i in range(1, self.order_2+1)]\n        self.bottom_layers = ListModule(*self.bottom_layers)\n        self.fully_connected = torch.nn.Linear(self.abstract_feature_number_2, self.class_number)\n\n    def calculate_group_loss(self):\n        \"\"\"\n        Calculating the column losses.\n        \"\"\"\n        weight_loss = 0\n        for i in range(self.order_1):\n            upper_column_loss = torch.norm(self.upper_layers[i].weight_matrix, dim=0)\n            loss_upper = torch.sum(upper_column_loss)\n            weight_loss = weight_loss + self.args.lambd*loss_upper\n        for i in range(self.order_2):\n            bottom_column_loss = torch.norm(self.bottom_layers[i].weight_matrix, dim=0)\n            loss_bottom = torch.sum(bottom_column_loss)\n            weight_loss = weight_loss + self.args.lambd*loss_bottom\n        return weight_loss\n\n    def calculate_loss(self):\n        \"\"\"\n        Calculating the losses.\n        \"\"\"\n        weight_loss = 0\n        for i in range(self.order_1):\n            loss_upper = torch.norm(self.upper_layers[i].weight_matrix)\n            weight_loss = weight_loss + self.args.lambd*loss_upper\n        for i in range(self.order_2):\n            loss_bottom = torch.norm(self.bottom_layers[i].weight_matrix)\n            weight_loss = weight_loss + self.args.lambd*loss_bottom\n        return weight_loss\n            \n    def forward(self, normalized_adjacency_matrix, features):\n        \"\"\"\n        Forward pass.\n        :param normalized adjacency_matrix: Target matrix as a dict with indices and values.\n        :param features: Feature matrix.\n        :return predictions: Label predictions.\n        \"\"\"\n        abstract_features_1 = torch.cat([self.upper_layers[i](normalized_adjacency_matrix, features) for i in range(self.order_1)], dim=1)\n        abstract_features_2 = torch.cat([self.bottom_layers[i](normalized_adjacency_matrix, abstract_features_1) for i in range(self.order_2)], dim=1)\n        predictions = torch.nn.functional.log_softmax(self.fully_connected(abstract_features_2), dim=1)\n        return predictions\n\nclass Trainer(object):\n    \"\"\"\n    Class for training the neural network.\n    :param args: Arguments object.\n    :param graph: NetworkX graph.\n    :param features: Feature sparse matrix.\n    :param target: Target vector.\n    :param base_run: Loss calculation behavioural flag.\n    \"\"\"\n    def __init__(self, args, graph, features, target, base_run):\n        self.args = args\n        self.graph = graph\n        self.features = features\n        self.target = target\n        self.base_run = base_run\n        self.setup_features()\n        self.train_test_split()\n        self.setup_model()\n\n    def train_test_split(self):\n        \"\"\"\n        Creating a train/test split.\n        \"\"\"\n        random.seed(self.args.seed)\n        nodes = [node for node in range(self.ncount)]\n        random.shuffle(nodes)\n        self.train_nodes = torch.LongTensor(nodes[0:self.args.training_size])\n        self.validation_nodes = torch.LongTensor(nodes[self.args.training_size:self.args.training_size+self.args.validation_size])\n        self.test_nodes = torch.LongTensor(nodes[self.args.training_size+self.args.validation_size:])\n\n    def setup_features(self):\n        \"\"\"\n        Creating a feature matrix, target vector and propagation matrix.\n        \"\"\"\n        self.ncount = self.features[\"dimensions\"][0]\n        self.feature_number = self.features[\"dimensions\"][1]\n        self.class_number = torch.max(self.target).item()+1\n        self.propagation_matrix = create_propagator_matrix(self.graph)\n\n    def setup_model(self):\n        \"\"\"\n        Defining a PageRankNetwork.\n        \"\"\"\n        if self.args.model == \"mixhop\":\n            self.model = MixHopNetwork(self.args, self.feature_number, self.class_number)\n        else:\n            self.model = NGCNNetwork(self.args, self.feature_number, self.class_number)\n\n    def fit(self):\n        \"\"\"\n        Fitting a neural network with early stopping.\n        \"\"\"\n        accuracy = 0\n        no_improvement = 0\n        epochs = trange(self.args.epochs, desc=\"Accuracy\")\n        self.optimizer = torch.optim.Adam(self.model.parameters(), lr=self.args.learning_rate)\n        self.model.train()\n        for _ in epochs:\n            self.optimizer.zero_grad()\n            prediction = self.model(self.propagation_matrix, self.features)\n            loss = torch.nn.functional.nll_loss(prediction[self.train_nodes], self.target[self.train_nodes])\n            if self.args.model == \"mixhop\" and self.base_run == True:\n                loss = loss + self.model.calculate_group_loss()\n            elif self.args.model == \"mixhop\" and self.base_run == False:\n                loss = loss + self.model.calculate_loss()\n            loss.backward()\n            self.optimizer.step()\n            new_accuracy = self.score(self.validation_nodes)\n            epochs.set_description(\"Validation Accuracy: %g\" % round(new_accuracy, 4))\n            if new_accuracy < accuracy:\n                no_improvement = no_improvement + 1\n                if no_improvement == self.args.early_stopping:\n                    epochs.close()\n                    break\n            else:\n                no_improvement = 0\n                accuracy = new_accuracy\n        acc = self.score(self.test_nodes)\n        print(\"\\nTest accuracy: \" + str(round(acc, 4)) +\"\\n\")\n\n    def score(self, indices):\n        \"\"\"\n        Scoring a neural network.\n        :param indices: Indices of nodes involved in accuracy calculation.\n        :return acc: Accuracy score.\n        \"\"\"\n        self.model.eval()\n        _, prediction = self.model(self.propagation_matrix, self.features).max(dim=1)\n        correct = prediction[indices].eq(self.target[indices]).sum().item()\n        acc = correct / indices.shape[0]\n        return acc\n\n    def evaluate_architecture(self):\n        \"\"\"\n        Making a choice about the optimal layer sizes.\n        \"\"\"\n        print(\"The best architecture is:\\n\")\n        self.layer_sizes = dict()\n\n        self.layer_sizes[\"upper\"] = []\n\n        for layer in self.model.upper_layers:\n            norms = torch.norm(layer.weight_matrix**2, dim=0)\n            norms = norms[norms < self.args.cut_off]\n            self.layer_sizes[\"upper\"].append(norms.shape[0])\n\n        self.layer_sizes[\"bottom\"] = []\n\n        for layer in self.model.bottom_layers:\n            norms = torch.norm(layer.weight_matrix**2, dim=0)\n            norms = norms[norms < self.args.cut_off]\n            self.layer_sizes[\"bottom\"].append(norms.shape[0])\n\n        self.layer_sizes[\"upper\"] = [int(self.args.budget*layer_size/sum(self.layer_sizes[\"upper\"]))  for layer_size in self.layer_sizes[\"upper\"]]\n        self.layer_sizes[\"bottom\"] = [int(self.args.budget*layer_size/sum(self.layer_sizes[\"bottom\"]))  for layer_size in self.layer_sizes[\"bottom\"]]\n        print(\"Layer 1.: \"+str(tuple(self.layer_sizes[\"upper\"])))\n        print(\"Layer 2.: \"+str(tuple(self.layer_sizes[\"bottom\"])))\n\n    def reset_architecture(self):\n        \"\"\"\n        Changing the layer sizes.\n        \"\"\"\n        print(\"\\nResetting the architecture.\\n\")\n        self.args.layers_1 = self.layer_sizes[\"upper\"]\n        self.args.layers_2 = self.layer_sizes[\"bottom\"]\n        return self.args\n"
  },
  {
    "path": "src/utils.py",
    "content": "\"\"\"Data reading tools.\"\"\"\n\nimport json\nimport torch\nimport numpy as np\nimport pandas as pd\nimport networkx as nx\nfrom scipy import sparse\nfrom texttable import Texttable\n\ndef tab_printer(args):\n    \"\"\"\n    Function to print the logs in a nice tabular format.\n    :param args: Parameters used for the model.\n    \"\"\"\n    args = vars(args)\n    keys = sorted(args.keys())\n    t = Texttable()\n    t.add_rows([[\"Parameter\", \"Value\"]])\n    t.add_rows([[k.replace(\"_\", \" \").capitalize(), args[k]] for k in keys])\n    print(t.draw())\n\ndef graph_reader(path):\n    \"\"\"\n    Function to read the graph from the path.\n    :param path: Path to the edge list.\n    :return graph: NetworkX object returned.\n    \"\"\"\n    graph = nx.from_edgelist(pd.read_csv(path).values.tolist())\n    graph.remove_edges_from(list(nx.selfloop_edges(graph)))\n    return graph\n\ndef feature_reader(path):\n    \"\"\"\n    Reading the feature matrix stored as JSON from the disk.\n    :param path: Path to the JSON file.\n    :return out_features: Dict with index and value tensor.\n    \"\"\"\n    features = json.load(open(path))\n    index_1 = [int(k) for k, v in features.items() for fet in v]\n    index_2 = [int(fet) for k, v in features.items() for fet in v]\n    values = [1.0]*len(index_1)\n    nodes = [int(k) for k, v in features.items()]\n    node_count = max(nodes)+1\n    feature_count = max(index_2)+1\n    features = sparse.coo_matrix((values, (index_1, index_2)),\n                                 shape=(node_count, feature_count),\n                                 dtype=np.float32)\n    out_features = dict()\n    ind = np.concatenate([features.row.reshape(-1, 1), features.col.reshape(-1, 1)], axis=1)\n    out_features[\"indices\"] = torch.LongTensor(ind.T)\n    out_features[\"values\"] = torch.FloatTensor(features.data)\n    out_features[\"dimensions\"] = features.shape\n    return out_features\n\ndef target_reader(path):\n    \"\"\"\n    Reading the target vector from disk.\n    :param path: Path to the target.\n    :return target: Target vector.\n    \"\"\"\n    target = torch.LongTensor(np.array(pd.read_csv(path)[\"target\"]))\n    return target\n\ndef create_adjacency_matrix(graph):\n    \"\"\"\n    Creating a sparse adjacency matrix.\n    :param graph: NetworkX object.\n    :return A: Adjacency matrix.\n    \"\"\"\n    index_1 = [edge[0] for edge in graph.edges()] + [edge[1] for edge in graph.edges()]\n    index_2 = [edge[1] for edge in graph.edges()] + [edge[0] for edge in graph.edges()]\n    values = [1 for index in index_1]\n    node_count = max(max(index_1)+1, max(index_2)+1)\n    A = sparse.coo_matrix((values, (index_1, index_2)),\n                          shape=(node_count, node_count),\n                          dtype=np.float32)\n    return A\n\ndef normalize_adjacency_matrix(A, I):\n    \"\"\"\n    Creating a normalized adjacency matrix with self loops.\n    :param A: Sparse adjacency matrix.\n    :param I: Identity matrix.\n    :return A_tile_hat: Normalized adjacency matrix.\n    \"\"\"\n    A_tilde = A + I\n    degrees = A_tilde.sum(axis=0)[0].tolist()\n    D = sparse.diags(degrees, [0])\n    D = D.power(-0.5)\n    A_tilde_hat = D.dot(A_tilde).dot(D)\n    return A_tilde_hat\n\ndef create_propagator_matrix(graph):\n    \"\"\"\n    Creating a propagator matrix.\n    :param graph: NetworkX graph.\n    :return propagator: Dictionary of matrix indices and values.\n    \"\"\"\n    A = create_adjacency_matrix(graph)\n    I = sparse.eye(A.shape[0])\n    A_tilde_hat = normalize_adjacency_matrix(A, I)\n    propagator = dict()\n    A_tilde_hat = sparse.coo_matrix(A_tilde_hat)\n    ind = np.concatenate([A_tilde_hat.row.reshape(-1, 1), A_tilde_hat.col.reshape(-1, 1)], axis=1)\n    propagator[\"indices\"] = torch.LongTensor(ind.T)\n    propagator[\"values\"] = torch.FloatTensor(A_tilde_hat.data)\n    return propagator\n"
  }
]