A fast learning algorithm for deep belief nets

Neural Computation
Geoffrey HintonYee-Whye Teh

Abstract

We show how to use "complementary priors" to eliminate the explaining-away effects that make inference difficult in densely connected belief nets that have many hidden layers. Using complementary priors, we derive a fast, greedy algorithm that can learn deep, directed belief networks one layer at a time, provided the top two layers form an undirected associative memory. The fast, greedy algorithm is used to initialize a slower learning procedure that fine-tunes the weights using a contrastive version of the wake-sleep algorithm. After fine-tuning, a network with three hidden layers forms a very good generative model of the joint distribution of handwritten digit images and their labels. This generative model gives better digit classification than the best discriminative learning algorithms. The low-dimensional manifolds on which the digits lie are modeled by long ravines in the free-energy landscape of the top-level associative memory, and it is easy to explore these ravines by using the directed connections to display what the associative memory has in mind.

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Sep 22, 2017·PloS One·Jianan CuiHuafeng Liu
Nov 20, 2018·Expert Opinion on Drug Discovery·Yinqiu XuKejiang Lin
Oct 28, 2018·Medical Physics·Berkman SahinerMaryellen L Giger
Jan 23, 2019·PLoS Computational Biology·Debmalya Chakrabarty, Mounya Elhilali
Dec 14, 2018·Journal of Neural Engineering·Fatemeh FahimiCuntai Guan
Feb 5, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Naeim BahramiAlbert Hsiao
Jan 31, 2019·Physiological Measurement·Mustafa RadhaRonald M Aarts
May 31, 2018·Biomedizinische Technik. Biomedical Engineering·Behrouz Alizadeh SavarehMahyar Ghafoori
Mar 6, 2019·Microcirculation : the Official Journal of the Microcirculatory Society, Inc·Vibujithan VigneshwaranNicolas P Smith
May 15, 2013·The Behavioral and Brain Sciences·Andy Clark
May 8, 2019·Journal of Digital Imaging·Qin WangWeiguang Sheng
May 12, 2018·International Journal of Neural Systems·Amir H AnsariSabine Van Huffel
Sep 7, 2017·Healthcare Informatics Research·Jaekwon KimYoungho Lee
Oct 20, 2018·Current Computer-aided Drug Design·Javier Pérez-SianesFernando Díaz
May 31, 2019·International Journal of Molecular Sciences·Mingyang JiangXiaoyue Feng
Nov 2, 2014·Epidemiology and Health·Jong-Myon Bae
Jul 24, 2019·Genes·Miguel Pérez-Enciso, Laura M Zingaretti
Jul 31, 2016·Molecular Systems Biology·Christof AngermuellerOliver Stegle
Aug 8, 2019·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·Jack HansonYaoqi Zhou
Aug 6, 2016·Molecular Informatics·Erik GawehnGisbert Schneider
Jan 30, 2018·Frontiers in Computational Neuroscience·Marcel van Gerven
Nov 7, 2019·Plants·Muhammad Hammad SaleemKhalid Mahmood Arif
Oct 28, 2019·International Journal of Environmental Research and Public Health·Huanfeng ShenChao Zeng
Aug 22, 2019·Current Pharmaceutical Biotechnology·Deeksha SaxenaRajnish Kumar
Dec 21, 2019·Big Data·Sofie De CnuddeFoster Provost
Nov 9, 2019·Sensors·Stamatios SamarasDimitrios Tzovaras
Jan 18, 2020·Briefings in Bioinformatics·Delora BaptistaMiguel Rocha
Jan 26, 2020·Cytometry. Part a : the Journal of the International Society for Analytical Cytology·Jing SunXuantao Su
Dec 8, 2019·Interdisciplinary Sciences, Computational Life Sciences·Peng ZhangChanjuan Liu
Jan 7, 2020·Royal Society Open Science·Arya PamuncakIrwanda Laory
Feb 29, 2020·Journal of Cognitive Neuroscience·Andrea E Martin
Oct 28, 2019·Der Chirurg; Zeitschrift für alle Gebiete der operativen Medizen·N Moellhoff, R E Giunta
Oct 28, 2019·Der Chirurg; Zeitschrift für alle Gebiete der operativen Medizen·Jan GödekeS Rohleder
Mar 19, 2020·Neural Computation·Jing GaoJianing Zhang
Feb 14, 2020·Nature Communications·Sanjiv K DwivediMika Gustafsson
Dec 2, 2017·Journal of Neural Engineering·Joseph G MakinPhilip N Sabes
Aug 30, 2017·PloS One·Ningning LiuLiming Chen
Aug 22, 2019·PLoS Computational Biology·Georgia KoppeDaniel Durstewitz
Sep 20, 2017·BMC Bioinformatics·Haiou LiJianlin Cheng
Nov 20, 2019·Allergy, Asthma & Immunology Research·Yun Am SeoTae Hee Kim
Sep 2, 2017·International Journal of Computer Assisted Radiology and Surgery·Yangqin FengZhang Yi
May 18, 2020·Medical Physics·Sunan CuiIssam El Naqa
May 18, 2020·Medical Physics·Heang-Ping ChanRavi K Samala
Feb 27, 2019·Biomedizinische Technik. Biomedical Engineering·Yunhua ChenYanjun Zeng
Mar 8, 2020·Conservation Biology : the Journal of the Society for Conservation Biology·Alfonso B LabaoHelen T Yap
Jul 19, 2019·The Behavioral and Brain Sciences·Michael GileadNira Liberman
May 16, 2020·Current Medical Imaging·Muhammad Nadeem AshrafZulfiqar Habib
Feb 12, 2020·Research : a Science Partner Journal·Christian WülkerGregory S Chirikjian
Jul 7, 2019·Scientific Reports·Gabor HullamGabriella Juhasz
Apr 3, 2020·Medical Physics·Man TanDan Long
Jul 1, 2020·The British Journal of Ophthalmology·Yohei HashimotoKenji Yamanishi
Jul 16, 2020·Neuropsychopharmacology : Official Publication of the American College of Neuropsychopharmacology·Georgia KoppeDaniel Durstewitz
May 12, 2020·Journal of X-ray Science and Technology·Yubao Hou
Oct 17, 2019·Advanced Materials·Young Hoon JungKeon Jae Lee
Sep 18, 2020·SLAS Technology·Masturah Bte Mohd Abdul Rashid
Jul 23, 2016·Frontiers in Neuroscience·Emre O NeftciGert Cauwenberghs
Oct 4, 2019·Scientific Reports·Joon Young KimJong Soo Jeon
May 10, 2017·Briefings in Bioinformatics·Riccardo MiottoJoel T Dudley
Mar 11, 2015·Proceedings of the National Academy of Sciences of the United States of America·Donald GemanLaurent Younes
Mar 21, 2017·Journal of Digital Imaging·Bradley J EricksonKenneth Philbrick
Mar 17, 2017·Annual Review of Biomedical Engineering·Dinggang ShenHeung-Il Suk
Apr 18, 2017·Proceedings. Mathematical, Physical, and Engineering Sciences·Steve B Furber
Aug 5, 2017·Physical Review Letters·Giacomo Torlai, Roger G Melko
Aug 2, 2017·Nanotechnology·Tim AlbrechtS M Masudur R Al-Arif
Jul 14, 2017·Frontiers in Neuroscience·Evangelos StromatiasBernabé Linares-Barranco
Oct 7, 2017·BMC Genomics·Gene SherShaojie Zhang
Oct 31, 2017·Frontiers in Psychology·Min PengXiaolan Fu
Sep 9, 2017·Bioinformatics·Sai ZhangJianyang Zeng
Aug 23, 2017·PeerJ·Philippe Desjardins-ProulxDominique Gravel
Sep 28, 2017·Physical Review. E·Domingos S P Salazar
Oct 17, 2017·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Xiaoqing Wan, Chunhui Zhao
Mar 3, 2018·Sensors·Ning MaPhilip H W Leong
Mar 14, 2018·Proceedings of the National Academy of Sciences of the United States of America·Christophe GardellaThierry Mora
Apr 18, 2018·Journal of Medical Systems·Mohammad Mehedi HassanMajed Alrubaian
Apr 19, 2018·Frontiers in Psychology·James S MagnusonHarlan D Harris
Jun 30, 2018·Journal of Medical Systems·Kun LanNilanjan Dey
Jun 20, 2018·Der Nervenarzt·Andreas Meyer-Lindenberg
Sep 19, 2018·Computational Intelligence and Neuroscience·Md Zahangir AlomVijayan K Asari
Oct 17, 2018·Frontiers in Neuroscience·Yaqi ChuYiwen Zhao
Aug 30, 2018·Journal of Healthcare Engineering·Rahib H Abiyev, Mohammad Khaleel Sallam Ma'aitah
Nov 18, 2018·Nature Communications·Jarrod R McCleanHartmut Neven
Dec 7, 2018·Japanese Journal of Radiology·Daiju UedaYukio Miki
Dec 13, 2018·Frontiers in Genetics·Qiwan HuJianfeng Pei
Dec 29, 2018·Sensors·Inwook ShimIn So Kweon
Jan 25, 2019·Computational Intelligence and Neuroscience·Zheng Wang, Qingbiao Wu
Feb 8, 2019·JCO Clinical Cancer Informatics·Seán WalshPhilippe Lambin
Mar 23, 2019·Scientific Reports·Sankalp KhannaMichael Georgeff
Mar 20, 2019·Journal of Medical Systems·G Maragatham, Shobana Devi
Jun 6, 2019·Optics Express·Kaiqiang WangJianlin Zhao
Dec 24, 2019·Physical Review Letters·Giacomo TorlaiManuel Endres
Mar 21, 2020·Molecular Diversity·Seyed Aghil HooshmandAli Masoudi-Nejad
Apr 24, 2020·Eye and Vision·Yan TongYin Shen
Mar 25, 2020·Neural Computing & Applications·Muhammad Imran RazzakGuandong Xu
Mar 19, 2020·Journal of Healthcare Engineering·Zhuo LiuHong Yuan
Jul 14, 2020·Cognitive Neurodynamics·Adeel Ahmed AbbasiQuratul-Ain Chaudhary
Jul 8, 2020·Current Cardiology Reports·Fang TangWei-Feng Yuan
Jun 12, 2020·Evolutionary Bioinformatics Online·Yulian DingFang-Xiang Wu
Nov 6, 2015·PLoS Computational Biology·Joseph G MakinPhilip N Sabes
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Haiping Huang, Taro Toyoizumi
Jan 12, 2017·Computational Intelligence and Neuroscience·Luís CostaEstela Bicho
Nov 25, 2016·The Behavioral and Brain Sciences·Brenden M LakeSamuel J Gershman
May 17, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Xiumin LiFangzheng Xue
Mar 4, 2017·The Journal of the Acoustical Society of America·Yuzhou Liu, DeLiang Wang
Oct 7, 2017·BMC Bioinformatics·Jonathan D YoungXinghua Lu
Jun 1, 2017·Neural Computation·Johan A K Suykens
May 1, 2018·Frontiers in Psychology·Catherine HansonStephen José Hanson
Feb 20, 2018·Human Brain Mapping·Xintao HuTianming Liu
May 2, 2018·Der Ophthalmologe : Zeitschrift der Deutschen Ophthalmologischen Gesellschaft·P PrahsH Helbig
Oct 27, 2017·BMC Bioinformatics·Hongda BuJihong Guan
Jun 29, 2018·Interface Focus·Michael HopkinsSteve B Furber
Sep 26, 2018·Sensors·Victor Garcia-FontHelena Rifà-Pous
Aug 29, 2018·Scientific Reports·Ilida SuleymanovaPeter Horvath
Jun 30, 2018·Physical Review Letters·Giacomo Torlai, Roger G Melko
Nov 13, 2018·Computational Intelligence and Neuroscience·Junghoon HahSaerom Park
Jun 3, 2018·The Journal of the Acoustical Society of America·Zhaoqiong HuangYonghong Yan
Oct 10, 2018·Proceedings of the National Academy of Sciences of the United States of America·Huanfei MaLuonan Chen
Jan 31, 2019·Scientific Reports·Hassan AkbariNima Mesgarani
Feb 17, 2019·Molecular Psychiatry·Daniel DurstewitzAndreas Meyer-Lindenberg
Feb 23, 2019·Sensors·Aimilia PapagiannakiVasileios Megalooikonomou
Mar 15, 2019·International Journal of Environmental Research and Public Health·Qin SongJun Yang
Jul 10, 2019·Expert Review of Precision Medicine and Drug Development·Tongqi QianYujin Hoshida
Oct 11, 2019·PLoS Biology·B Ian HutchinsGeorge M Santangelo
Jul 18, 2019·Inflammation and Regeneration·Dai Kusumoto, Shinsuke Yuasa
Jan 10, 2020·Computational Intelligence and Neuroscience·Yikui ZhaiVincenzo Piuri
Dec 20, 2019·Biomedical Optics Express·Shan HuangJing Gao
Jun 24, 2020·Scientific Reports·Alberto TestolinMarco Zorzi
Jun 1, 2020·Bio-medical Materials and Engineering·Maha Shams, Alaa Sagheer
Apr 21, 2020·International Journal of Neural Systems·Matthew LemingJohn Suckling
Jul 28, 2020·Sensors·Francisco Arellano-EspitiaRoque Alfredo Osornio-Rios
Sep 8, 2020·Bio-medical Materials and Engineering·Yujie Yang, Qianqian Zhang
Jul 30, 2020·Scientific Reports·Duong VuGerard Verkley
Sep 11, 2020·Sensors·Satya P SinghBalázs Gulyás
Sep 18, 2020·Forensic Sciences Research·Yuanyuan ZhouPing Huang
Mar 30, 2017·International Journal of Computer Assisted Radiology and Surgery·Shekoofeh AziziPurang Abolmaesumi
Nov 18, 2016·Frontiers in Neuroscience·Qian LiuSteve B Furber
Jan 18, 2017·Neural Computation·Arash SamadiDouglas Blair Tweed
Feb 18, 2017·Frontiers in Psychology·Rufin VanRullen
May 11, 2017·Annual Review of Neuroscience·Ashesh K DhawaleBence P Ölveczky
Jun 14, 2017·BMC Neuroscience·John KimDouglas Blair Tweed
Aug 15, 2017·Computational Intelligence and Neuroscience·Zheng Wang, Qingbiao Wu
May 16, 2017·Frontiers in Neurorobotics·Oliver LompGregor Schöner
Mar 23, 2017·Frontiers in Neuroscience·Rifai ChaiHung T Nguyen
Oct 27, 2017·Journal of Healthcare Engineering·Kan LuoAlfred Cuschieri
Feb 14, 2018·Briefings in Bioinformatics·Igor F Tsigelny
Apr 7, 2017·Frontiers in Psychology·Francesco RigoliKarl Friston
Jul 19, 2018·Nature Communications·Angelo ZilettiLuca M Ghiringhelli
Jul 27, 2017·BioMed Research International·Xianchun ZouGuoxian Yu
Jul 13, 2018·Frontiers in Bioengineering and Biotechnology·Federico CabitzaGiuseppe Banfi
Apr 25, 2018·Scientific Reports·Yuchen HeZhuo Xu
Mar 23, 2018·Molecules : a Journal of Synthetic Chemistry and Natural Product Chemistry·Raúl Cruz-BarbosaJesús Giraldo
Oct 12, 2018·Computational and Mathematical Methods in Medicine·Qianqian WangXiaohui Zhao
Nov 10, 2018·Frontiers in Neuroscience·Michael Pfeiffer, Thomas Pfeil
Mar 7, 2019·Journal of Healthcare Engineering·Zhenglun KongShengpu Xu
Apr 12, 2019·Frontiers in Genetics·Binhua TangAsif Khateeb
Apr 23, 2019·Journal of Thoracic Imaging·Tara A RetsonAlbert Hsiao
Jul 22, 2019·The Journal of Chemical Physics·Wancheng YuJeff Z Y Chen
Jun 11, 2019·Frontiers in Aging Neuroscience·Nicola AmorosoRoberto Bellotti
Sep 5, 2019·Contrast Media & Molecular Imaging·Feng-Ping An, Zhi-Wen Liu
Jul 6, 2019·International Journal of Speech-language Pathology·Joseph Keshet
Mar 15, 2020·Physical Review. E·Olafs VandansLiang Dai
Sep 11, 2020·Computational Intelligence and Neuroscience·Long ChenPeng Lv
Nov 20, 2016·Journal of Computational Chemistry·Fahimeh GhasemiAlireza Mehri Dehnavi
Nov 16, 2016·Computational Intelligence and Neuroscience·Mujiono SadikinT Basaruddin
Apr 13, 2017·Schizophrenia Bulletin·Brita ElvevågAlex Cohen