{"id":345,"date":"2013-02-26T15:15:36","date_gmt":"2013-02-26T15:15:36","guid":{"rendered":"http:\/\/yingzhenli.net\/home\/en\/?page_id=345"},"modified":"2025-09-25T14:31:03","modified_gmt":"2025-09-25T14:31:03","slug":"publications","status":"publish","type":"page","link":"https:\/\/yingzhenli.net\/home\/en\/?page_id=345","title":{"rendered":"Publications"},"content":{"rendered":"<p class=\"title mathjax\"><span style=\"color: #000080;\"><strong>Working papers<\/strong><\/span><\/p>\n<p>Wuhao Chen, <a href=\"https:\/\/j-zin.github.io\/\">Zijing Ou<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2502.07337\" target=\"_blank\" rel=\"noopener noreferrer\">Neural Flow Samplers with Shortcut Models<\/a>. In submission. 2025.<\/p>\n<p><a href=\"https:\/\/harrisonzhu508.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Harrison Zhu<\/a>, <a href=\"https:\/\/athowes.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Adam Howes<\/a>, Owen van Eer, Maxime Richard, <strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/www.stats.ox.ac.uk\/~sejdinov\/\" target=\"_blank\" rel=\"noopener noreferrer\">Dino Sejdinovic<\/a> and <a href=\"https:\/\/sethrf.com\" target=\"_blank\" rel=\"noopener noreferrer\">Seth Flaxman<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2105.01460\" target=\"_blank\" rel=\"noopener noreferrer\">Aggregated Gaussian Processes with Multiresolution Earth Observation Covariates<\/a>. 2022.<\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=wenbo-gong\" target=\"_blank\" rel=\"noopener noreferrer\">Wenbo Gong<\/a> and <strong>Yingzhen Li<\/strong>.\u00a0<span style=\"font-size: inherit;\"><a href=\"https:\/\/openreview.net\/forum?id=jxsmOXCDv9l\" target=\"_blank\" rel=\"noopener noreferrer\">Interpreting Diffusion Score Matching using Normalizing Flow<\/a>. ICML 2021 INNF+ workshop.<\/span><\/p>\n<p class=\"title mathjax\"><span style=\"color: #000080;\"><strong>Refereed conference papers<\/strong><\/span><\/p>\n<div class=\"page\" title=\"Page 1\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><a href=\"https:\/\/j-zin.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Zijing Ou<\/a>, Ruixiang Zhang and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2505.17741\" target=\"_blank\" rel=\"noopener noreferrer\">Discrete Neural Flow Samplers with Locally Equivariant Transformer<\/a>. Neural Information Processing Systems (NeurIPS), 2025.<\/p>\n<p>I. Shavindra Jayasekera, Jacob Si, Filippo Valdettaro, <a href=\"https:\/\/chenw20.github.io\/wenlongchen.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wenlong Chen<\/a>, Aldo A. Faisal and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2509.02327\" target=\"_blank\" rel=\"noopener noreferrer\">Variational Uncertainty Decomposition for In-Context Learning<\/a>. Neural Information Processing Systems (NeurIPS), 2025.<\/p>\n<p>Yohan Jung, Hyungi Lee, <a href=\"https:\/\/chenw20.github.io\/wenlongchen.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wenlong Chen<\/a>, Thomas M<span style=\"font-size: inherit;\">\u00f6<\/span>llenhoff, <strong>Yingzhen Li<\/strong>, Juho Lee, <a href=\"https:\/\/emtiyaz.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Mohammad Emtiyaz Khan<\/a>. Compact Memory for Continual Logistic Regression. Neural Information Processing Systems (NeurIPS), 2025.<\/p>\n<p>Naoki Kiyohara, <a href=\"https:\/\/www.robot-learning.uk\" target=\"_blank\" rel=\"noopener noreferrer\">Edward Johns<\/a> and <strong>Yingzhen Li<\/strong>. Neural Stochastic Flows: Solver-Free Modelling and Inference for SDE Solutions. Neural Information Processing Systems (NeurIPS), 2025.<\/p>\n<p><a href=\"https:\/\/chenw20.github.io\/wenlongchen.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wenlong Chen<\/a>*, Naoki Kiyohara*, <a href=\"https:\/\/harrisonzhu508.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Harrison Bo Hua Zhu<\/a>*, Jacob Curran-Sebastian, Samir Bhatt and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2502.08736\" target=\"_blank\" rel=\"noopener noreferrer\">Recurrent Memory for Online Interdomain Gaussian Processes<\/a>. Neural Information Processing Systems (NeurIPS), 2025.<\/p>\n<p><a href=\"https:\/\/xzluo97.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Xinzhe Luo<\/a>, <strong>Yingzhen Li<\/strong> and <a href=\"https:\/\/cq615.github.io\">Chen Qin<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2502.17174\" target=\"_blank\" rel=\"noopener noreferrer\">Unsupervised Accelerated MRI Reconstruction via Ground-Truth-Free Flow Matching<\/a>. Information Processing in Medical Imaging (IPMI), 2025. (oral)<\/p>\n<p>Manduchi et al. <a href=\"https:\/\/openreview.net\/forum?id=NeS9Kj2JwF\" target=\"_blank\" rel=\"noopener noreferrer\">On the Challenges and Opportunities in Generative AI<\/a>. Transactions on Machine Learning Research (TMLR), 2025.<\/p>\n<p><a href=\"https:\/\/charlio23.github.io\/\">Carles Balsells Rodas<\/a>, Xavier Sumba, Tanmayee Narendra, Ruibo Tu, Gabriele Schweikert, <a href=\"https:\/\/www.kth.se\/profile\/hedvig\" target=\"_blank\" rel=\"noopener noreferrer\">Hedvig Kjellstrom<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2110.06257\" target=\"_blank\" rel=\"noopener noreferrer\">Causal Discovery from Conditionally Stationary Time Series<\/a>. International Conference on Machine Learning (ICML), 2025.<\/p>\n<p><a href=\"https:\/\/chenw20.github.io\/wenlongchen.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wenlong Chen<\/a>, Bolian Li, <a href=\"https:\/\/ruqizhang.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Ruqi Zhang<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2502.18300\" target=\"_blank\" rel=\"noopener noreferrer\">Bayesian Computation in Deep Learning<\/a>. Handbook of Markov Chain Monte Carlo, 2nd Edition (in press, expected 2025\/26, refereed chapter)<\/p>\n<p><a href=\"https:\/\/j-zin.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Zijing Ou<\/a>, Mingtian Zhang, Andi Zhang, Tim Z. Xiao, <strong>Yingzhen Li<\/strong> and <a href=\"https:\/\/profiles.ucl.ac.uk\/9842-david-barber\" target=\"_blank\" rel=\"noopener noreferrer\">David Barber<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2406.10808\" target=\"_blank\" rel=\"noopener noreferrer\">Improving Probabilistic Diffusion Models With Optimal Diagonal Covariance Matching<\/a>. International Conference on Learning Representations (ICLR), 2025. (oral, 1.5%)<\/p>\n<p>Tobias Schr<span style=\"font-size: inherit;\">\u00f6<\/span>der, <a href=\"https:\/\/j-zin.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Zijing Ou<\/a>, <strong>Yingzhen Li<\/strong> and <a href=\"https:\/\/www.ma.imperial.ac.uk\/~aduncan\/\" target=\"_blank\" rel=\"noopener noreferrer\">Andrew Duncan<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2412.01019\" target=\"_blank\" rel=\"noopener noreferrer\">Energy-Based Modelling for Discrete and Mixed Data via Heat Equations on Structured Spaces<\/a>. Neural Information Processing Systems (NeurIPS), 2024.<\/p>\n<p><a href=\"https:\/\/charlio23.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Carles Balsells-Rodas<\/a>, <a href=\"https:\/\/yixinwang.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Yixin Wang<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2305.15925\" target=\"_blank\" rel=\"noopener noreferrer\">On the Identifiability of Switching Dynamical Systems<\/a>. International Conference on Machine Learning (ICML), 2024.<\/p>\n<p>Papamakou et al. <a href=\"https:\/\/arxiv.org\/abs\/2402.00809\" target=\"_blank\" rel=\"noopener noreferrer\">Position: Bayesian Deep Learning is Needed in the Age of Large-Scale AI<\/a>. International Conference on Machine Learning (ICML), 2024.<\/p>\n<p>Hee Suk Yoon, Eunseop Yoon, Joshua Tian Jin Tee, Mark A. Hasegawa-Johnson, <strong>Yingzhen Li<\/strong> and <a href=\"https:\/\/ee.kaist.ac.kr\/en\/professor\/12229\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chang D. Yoo<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2403.14119\" target=\"_blank\" rel=\"noopener noreferrer\">C-TPT: Calibrated Test-Time Prompt Tuning for Vision-Language Models via Text Feature Dispersion<\/a>. International Conference on Learning Representations (ICLR), 2024.<\/p>\n<p>Tobias Schr<span style=\"font-size: inherit;\">\u00f6<\/span><span style=\"font-size: inherit;\">der, <a href=\"https:\/\/j-zin.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Zijing Ou<\/a>, Jen Ning Lim, <strong>Yingzhen Li<\/strong>, Sebastian Vollmer and <a href=\"https:\/\/www.ma.imperial.ac.uk\/~aduncan\/\" target=\"_blank\" rel=\"noopener noreferrer\">Andrew Duncan<\/a>.\u00a0<\/span><a href=\"https:\/\/arxiv.org\/abs\/2307.06431\">Energy Discrepancies: A Score-Independent Loss for Energy-Based Models<\/a>. Neural Information Processing Systems (NeurIPS), 2023.<\/p>\n<p><a href=\"https:\/\/harrisonzhu508.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Harrison Zhu<\/a>, <a href=\"https:\/\/charlio23.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Carles Balsells Rodas<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/pdf\/2207.05543.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Markovian Gaussian Process Variational Autoencoders<\/a>. International Conference on Machine Learning (ICML), 2023.<\/p>\n<p><a href=\"https:\/\/chenw20.github.io\/wenlongchen.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wenlong Chen<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/openreview.net\/forum?id=jPVAFXHlbL\" target=\"_blank\" rel=\"noopener noreferrer\">Calibrating Transformers via Sparse Gaussian Processes<\/a>. International Conference on Learning Representations (ICLR),\u00a02023.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"page\" title=\"Page 2\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><a href=\"https:\/\/hee-suk-yoon.github.io\/\" target=\"_blank\" rel=\"noopener noreferrer\">Hee Suk Yoon<\/a>, Joshua Tian Jin Tee, Gwangsu Kim, Eunseop Yoon, Sunjae Yoon, <strong>Yingzhen Li<\/strong> and <a href=\"https:\/\/ee.kaist.ac.kr\/en\/professor\/12229\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chang D. Yoo<\/a>. <a href=\"https:\/\/openreview.net\/forum?id=bHW9njOSON\" target=\"_blank\" rel=\"noopener noreferrer\">ESD: Expected Squared Difference as a Tuning-Free Trainable Calibration Measure<\/a>. International Conference on Learning Representations (ICLR),\u00a02023.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><a href=\"https:\/\/rt416.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Ryutaro Tanno<\/a>, <a href=\"https:\/\/melaniefp.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Melanie F. Pradier<\/a>, <a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/adityan\/\" target=\"_blank\" rel=\"noopener noreferrer\">Aditya Nori<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/openreview.net\/forum?id=XiwkvDTU10Y\" target=\"_blank\" rel=\"noopener noreferrer\">Repairing Neural Networks by Leaving the Right Past Behind<\/a>. Neural Processing Information Systems (NeurIPS),\u00a02022.<\/p>\n<p><a href=\"https:\/\/cyz-ai.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Yanzhi Chen<\/a>, Weihao Sun, <strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/mlg.eng.cam.ac.uk\/adrian\/\" target=\"_blank\" rel=\"noopener noreferrer\">Adrian Weller<\/a>. <a href=\"https:\/\/openreview.net\/forum?id=Ojakr9ofova\" target=\"_blank\" rel=\"noopener noreferrer\">Scalable Infomin Learning<\/a>. Neural Processing Information Systems (NeurIPS),\u00a02022.<\/p>\n<p><a href=\"https:\/\/j-zin.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Zijing Ou<\/a>, <a href=\"https:\/\/scholar.google.com.hk\/citations?user=6gIs5YMAAAAJ&amp;hl=en\" target=\"_blank\" rel=\"noopener noreferrer\">Tingyang Xu<\/a>, <a href=\"https:\/\/scholar.google.com\/citations?user=cuIweygAAAAJ&amp;hl=en\" target=\"_blank\" rel=\"noopener noreferrer\">Qinliang Su<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"https:\/\/peilinzhao.github.io\" target=\"_blank\" rel=\"noopener noreferrer\">Peilin Zhao<\/a> and <a href=\"https:\/\/yataobian.com\" target=\"_blank\" rel=\"noopener noreferrer\">Yatao Bian<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2203.01693\" target=\"_blank\" rel=\"noopener noreferrer\">Learning Set Functions Under the Optimal Subset Oracle via Equivariant Variational Inference<\/a>. Neural Processing Information Systems (NeurIPS),\u00a02022.<\/p>\n<p><a href=\"https:\/\/scholar.google.com\/citations?user=K_4fqx4AAAAJ&amp;hl=en\">Hippolyt Ritter<\/a>, <a href=\"https:\/\/uk.linkedin.com\/in\/martin-maciej-kukla-7a999775\">Martin Kukla<\/a>, <a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/chezha\/\">Cheng Zhang<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2105.14594\">Sparse Uncertainty Representation in Deep Learning with Inducing Weights<\/a>. Neural Processing Information Systems (NeurIPS), 2021.<\/p>\n<p><a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Henn%2C+T\" target=\"_blank\" rel=\"noopener noreferrer\">Thomas Henn<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Sakamoto%2C+Y\" target=\"_blank\" rel=\"noopener noreferrer\">Yasukazu Sakamoto<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Jacquet%2C+C\" target=\"_blank\" rel=\"noopener noreferrer\">Cl\u00e9ment Jacquet<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Yoshizawa%2C+S\" target=\"_blank\" rel=\"noopener noreferrer\">Shunsuke Yoshizawa<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Andou%2C+M\" target=\"_blank\" rel=\"noopener noreferrer\">Masamichi Andou<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Tchen%2C+S\" target=\"_blank\" rel=\"noopener noreferrer\">Stephen Tchen<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Saga%2C+R\" target=\"_blank\" rel=\"noopener noreferrer\">Ryosuke Saga<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Ishihara%2C+H\" target=\"_blank\" rel=\"noopener noreferrer\">Hiroyuki Ishihara<\/a>, <a href=\"https:\/\/arxiv.org\/search\/cs?searchtype=author&amp;query=Shimizu%2C+K\" target=\"_blank\" rel=\"noopener noreferrer\">Katsuhiko Shimizu<\/a>, <strong>Yingzhen Li<\/strong>\u00a0and\u00a0<a href=\"http:\/\/rt416.github.io\">Ryutaro Tanno<\/a>.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2109.12347\" target=\"_blank\" rel=\"noopener noreferrer\">A Principled Approach to Failure Analysis and Model Repairment: Demonstration in Medical Imaging<\/a>. International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI), 2021.<\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=wenbo-gong\" target=\"_blank\" rel=\"noopener noreferrer\">Wenbo Gong<\/a>, Kaibo Zhang, <strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2102.03159\" target=\"_blank\" rel=\"noopener noreferrer\">Active Slices for Slided Stein Discrepancy<\/a>. International Conference on Machine Learning (ICML),\u00a02021<\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=wenbo-gong\">Wenbo Gong<\/a>, <strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2006.16531\">Sliced Kernelized Stein Discrepancy<\/a>. International Conference on Learning Representations (ICLR), 2021.<\/p>\n<p><a href=\"https:\/\/ruqizhang.github.io\/\">Ruqi Zhang<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/www.cs.cornell.edu\/~cdesa\/\">Chris De Sa<\/a>, <a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/sadevlin\/\">Sam Devlin<\/a> and <a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/chezha\/\">Cheng Zhang<\/a>.\u00a0<a href=\"https:\/\/openreview.net\/pdf?id=HyxaFyhNtB\">Meta-Learning for Variational Inference<\/a>. International Conference on Artificial Intelligence and Statistics (AISTATS), 2021.<\/p>\n<div class=\"page\" title=\"Page 1\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><a href=\"http:\/\/people.ds.cam.ac.uk\/yz568\/\">Yi Zhu<\/a>, <a href=\"https:\/\/eehsan.github.io\">Ehsan Shareghi<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"https:\/\/ie.technion.ac.il\/~roiri\/\">Roi Reichart<\/a> and <a href=\"https:\/\/www.cl.cam.ac.uk\/~alk23\/\">Anna Korhonen<\/a>. <a href=\"https:\/\/aclanthology.org\/2021.eacl-main.76.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Combining Deep Generative Models and Multi-lingual Pretraining for Semi-supervised Document Classification<\/a>.\u00a0European Chapter of the Association for Computational Linguistics (EACL), 2021.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=andrew-foong-yue-kwang\">Andrew Y. K. Foong<\/a>*,\u00a0<a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=david-burt\">David R. Burt<\/a>*,\u00a0<strong>Yingzhen Li<\/strong>\u00a0and\u00a0<a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1909.00719\">On the Expressiveness of Approximate Inference in Bayesian Neural Networks<\/a>. Neural Processing Information Systems (NeurIPS), 2020.<\/p>\n<p><a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/chezha\/\">Cheng Zhang<\/a>, <a href=\"http:\/\/www.andrew.cmu.edu\/user\/kunz1\/\">Kun Zhang<\/a> and <strong>Yingzhen Li<\/strong>. <a href=\"https:\/\/drive.google.com\/file\/d\/1wsGsb4bfAYHH9YHB13hJ3ktqFAqxrfRy\/view\">A Causal View on Robustness of Neural Networks<\/a>. Neural Processing Information Systems (NeurIPS), 2020.<\/p>\n<p><a href=\"http:\/\/maximilianigl.github.io\">Maximilian Igl<\/a>,\u00a0<a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/kaciosek\/\">Kamil Ciosek<\/a>,\u00a0<strong>Yingzhen Li<\/strong>,\u00a0<a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/setschia\/\">Sebastian Tschiatschek<\/a>,\u00a0<a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/chezha\/\">Cheng Zhang<\/a>,\u00a0<a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/sadevlin\/\">Sam Devlin<\/a> and\u00a0<a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/kahofman\/\">Katja Hofmann<\/a>.\u00a0<a href=\"https:\/\/papers.nips.cc\/paper\/9546-generalization-in-reinforcement-learning-with-selective-noise-injection-and-information-bottleneck\">Generalization in Reinforcement Learning with Selective Noise Injection and Information Bottleneck<\/a>. Neural Processing Information Systems (NeurIPS), 2019.<\/p>\n<p><a href=\"https:\/\/eehsan.github.io\">Ehsan Shareghi<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/people.ds.cam.ac.uk\/yz568\/\">Yi Zhu<\/a>, <a href=\"https:\/\/ie.technion.ac.il\/~roiri\/\">Roi Reichart<\/a> and <a href=\"https:\/\/www.cl.cam.ac.uk\/~alk23\/\">Anna Korhonen<\/a>.\u00a0<a href=\"https:\/\/www.aclweb.org\/anthology\/N19-1354\/\">Bayesian Learning for Neural Dependency Parsing<\/a>. NAACL-HLT 2019.<\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=chao-ma\">Chao Ma<\/a>, <strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/1806.02390\">Variational Implicit Processes<\/a>. International Conference on Machine Learning (ICML), 2019. <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/LaurantChao\/VIP\">code<\/a><\/span><\/p>\n<p><strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=john-bradshaw\">John Bradshaw<\/a> and <a href=\"https:\/\/www.yash-sharma.com\">Yash Sharma<\/a>.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1802.06552\">Are Generative Classifiers More Robust to Adversarial Attacks?<\/a>\u00a0International Conference on Machine Learning (ICML), 2019. <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/YingzhenLi\/DeepBayes\">code<\/a>\u00a0<span style=\"color: #000000;\"><span style=\"background-color: #fff;\"><a onclick=\"read_toggle(602773339, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink602773339\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read602773339\" style=\"display: none;\"><\/span><\/span><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/graphical_model_color.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1161 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/graphical_model_color.png\" alt=\"\" width=\"650\" height=\"375\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/graphical_model_color.png 650w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/graphical_model_color-300x173.png 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(Generative\/Discriminative classifiers, the graphical model defines its nature)<\/span><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/fusion_model.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1162 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/fusion_model.png\" alt=\"\" width=\"750\" height=\"375\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/fusion_model.png 750w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/12\/fusion_model-300x150.png 300w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(Fusing generative\/discriminative behaviours: combining VGG-features and generative models)<\/span><\/p>\n<p><span style=\"color: #800000;\">Adversarial machine learning research has become an arm race, so far the adversary side is taking the lead. We conjecture in this paper that <strong>feed-forward DNN's vulnerability to adversarial examples is due to its discriminative nature, so instead we build deep generative models and turn them into classifiers using Bayes' rule<\/strong>. Extensive empirical study shows advantages of generative classifiers over discriminative ones, both in terms of robustness and detection to adversarial examples. We also build a generative-discriminative hybrid for natural image classification, which combines the best from both worlds.<\/span><\/p>\n<p><\/div><\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=wenbo-gong\">Wenbo Gong<\/a>*, <strong>Yingzhen Li<\/strong>* and <a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>. <a href=\"https:\/\/openreview.net\/forum?id=HkeoOo09YX\">Meta-Learning for Stochastic Gradient MCMC<\/a>. International Conference on Learning Representations (ICLR), 2019. \u00a0<span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/WenboGong\/MetaSGMCMC\">code<\/a><\/span>\u00a0<span style=\"background-color: #fff;\"><a onclick=\"read_toggle(243819771, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink243819771\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read243819771\" style=\"display: none;\"><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/complete_framework.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1127 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/complete_framework.png\" alt=\"\" width=\"625\" height=\"250\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/complete_framework.png 625w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/complete_framework-300x120.png 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(finding the best one from the largest set of provably correct samplers\u00a0?)<\/span><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/meta_sampler_toy_example.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1128 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/meta_sampler_toy_example.png\" alt=\"\" width=\"745\" height=\"438\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/meta_sampler_toy_example.png 745w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2019\/02\/meta_sampler_toy_example-300x176.png 300w\" sizes=\"auto, (max-width: 745px) 100vw, 745px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(the meta-learned sampler is trained on an isotropic Gaussian distribution)<\/span><\/p>\n<p><span style=\"color: #800000;\">Recently people are very excited about <a href=\"https:\/\/arxiv.org\/abs\/1606.04474\" target=\"_blank\" rel=\"noopener noreferrer\">meta-learning<\/a> <a href=\"http:\/\/proceedings.mlr.press\/v70\/chen17e.html\" target=\"_blank\" rel=\"noopener noreferrer\">algorithms<\/a> that are then used to optimise ML models. However naively proposing an arbitrary neural network to do <em>sampling<\/em> is almost guaranteed to fail. So we really want to meta-learn an MCMC sampler that is provably correct (i.e. the stationary distribution is the target distribution), and we build on top of <a href=\"https:\/\/arxiv.org\/abs\/1506.04696\" target=\"_blank\" rel=\"noopener noreferrer\">a seminal work on SG-MCMC<\/a> to combine the flexibility of neural networks and Hamiltonian Monte Carlo.<\/span><\/p>\n<p><\/div><\/p>\n<p><strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/www.stephanmandt.com\">Stephan Mandt<\/a>.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1803.02991\">Disentangled Sequential Autoencoder<\/a>. International Conference on Machine Learning (ICML),\u00a02018. <a href=\"https:\/\/github.com\/YingzhenLi\/Sprites\"><span style=\"color: #ff0000;\">sprites data<\/span><\/a>\u00a0<a href=\"http:\/\/yingzhenli.net\/home\/pdf\/dsa_architecture.pdf\"><span style=\"color: #0000ff;\">architecture<\/span><\/a>\u00a0<span style=\"background-color: #fff;\"><a onclick=\"read_toggle(535189011, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink535189011\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read535189011\" style=\"display: none;\"><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/dsa_cartoon.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1036\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/dsa_cartoon.png\" alt=\"\" width=\"375\" height=\"225\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/dsa_cartoon.png 375w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/dsa_cartoon-300x180.png 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(embarrassingly simple\u00a0<span class=\"emoji\">?<\/span>)<\/span><\/p>\n<p><span style=\"color: #800000;\">While there are quite a few recent papers talking about learning disentangled representation using some new loss function, I thought: why not just go back to the graphical model land, and directly enforce disentanglement in model design? So there you go a minimalistic generative model for disentangling content and dynamics in a sequence. We have speech recognition example in the paper as well, and we also show using stochastic dynamics could potentially achieve better compression.<\/span><\/p>\n<p><span style=\"color: #800000;\">Part of this project was done as an intern at Disney research.<\/span><\/p>\n<p><span style=\"color: #800000;\">(Previously titled \"A Deep Generative Model for Disentangled Representations of Sequential Data\")<\/span><\/p>\n<p><\/div><\/p>\n<p><a href=\"https:\/\/sites.google.com\/site\/nvcuong92\/\" target=\"_blank\" rel=\"noopener noreferrer\">Cuong V. Nguyen<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/mlg.eng.cam.ac.uk\/thang\/\" target=\"_blank\" rel=\"noopener noreferrer\">Thang D. Bui<\/a> and <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\" target=\"_blank\" rel=\"noopener noreferrer\">Richard E. Turner<\/a>.\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1710.10628\" target=\"_blank\" rel=\"noopener noreferrer\">Variational Continual Learning<\/a>. International Conference on Learning Representations (ICLR), 2018. \u00a0<span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/nvcuong\/variational-continual-learning\">code<\/a> <\/span> <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1124777895, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1124777895\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1124777895\" style=\"display: none;\"><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/bayes.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-944 size-medium\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/bayes-235x300.png\" alt=\"\" width=\"235\" height=\"300\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/bayes-235x300.png 235w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/bayes.png 380w\" sizes=\"auto, (max-width: 235px) 100vw, 235px\" \/><\/a><span style=\"color: #800000;\">(Well, quite a bit exaggeration actually, we need to make it practical ?)<\/span><\/p>\n<p><span style=\"color: #800000;\">\"Bayesian Inference is **the natural choice** for online\/incremental\/continual learning.\" Conceptually this is nice, but you know deep learning engineers wouldn't bid for it as exact Bayesian inference takes \"forever\" to run. In this paper we just use variational Bayes to make it tractable and easy to implement for continual learning of deep learning tasks. For both supervised and unsupervised learning.<\/span><\/p>\n<p><\/div><\/p>\n<p class=\"title mathjax\"><strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/1705.07107\" target=\"_blank\" rel=\"noopener noreferrer\">Gradient Estimators for Implicit Models<\/a>. International Conference on Learning Representations (ICLR), 2018. \u00a0<span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/YingzhenLi\/SteinGrad\">code<\/a> <\/span> <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1195910561, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1195910561\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1195910561\" style=\"display: none;\"><\/p>\n<p class=\"title mathjax\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/grad_approx_cartoon2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-925 size-full aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/grad_approx_cartoon2.png\" alt=\"\" width=\"413\" height=\"413\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/grad_approx_cartoon2.png 413w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/grad_approx_cartoon2-150x150.png 150w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/grad_approx_cartoon2-300x300.png 300w\" sizes=\"auto, (max-width: 413px) 100vw, 413px\" \/><\/a><\/p>\n<p class=\"title mathjax\" style=\"text-align: center;\"><span style=\"color: #800000;\">(So why not try gradient approximations instead ?)<\/span><\/p>\n<p class=\"title mathjax\"><span style=\"color: #800000;\">One of the main reasons why people now are super excited about<\/span> <a href=\"https:\/\/arxiv.org\/abs\/1406.2661\" target=\"_blank\" rel=\"noopener noreferrer\">GANs<\/a> <span style=\"color: #800000;\">is that the generative model is implicitly specified by a neural network warping simple noise vectors. However, applying probabilistic learning methods to these models requires severe approximations, where an overfitting estimation to the optimisation objective can lead to arbitrarily bad models. In this work, we explore an alternative route -- approximating the gradient function -- for training implicit models. We demonstrate the efficacy of our method with some exciting applications: meta-learning for posterior samplers, and improving GAN's sample diversity.<\/span><\/p>\n<p class=\"title mathjax\"><\/div><\/p>\n<p class=\"title mathjax\"><strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/yarin.co\">Yarin Gal<\/a>. <a href=\"http:\/\/proceedings.mlr.press\/v70\/li17a.html\" target=\"_blank\" rel=\"noopener noreferrer\">Dropout Inference in Bayesian Neural Networks with Alpha-divergences<\/a>. International Conference on Machine Learning (ICML), 2017. \u00a0<span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/YingzhenLi\/Dropout_BBalpha\">code<\/a><\/span> <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1091753778, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1091753778\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1091753778\" style=\"display: none;\"><\/p>\n<p class=\"title mathjax\" style=\"text-align: center;\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/Screen-Shot-2017-03-08-at-10.10.15.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-858 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/Screen-Shot-2017-03-08-at-10.10.15-1024x228.png\" alt=\"bbalpha_dropout\" width=\"700\" height=\"156\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/Screen-Shot-2017-03-08-at-10.10.15-1024x228.png 1024w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/Screen-Shot-2017-03-08-at-10.10.15-300x67.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/Screen-Shot-2017-03-08-at-10.10.15-768x171.png 768w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/Screen-Shot-2017-03-08-at-10.10.15.png 1614w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/a> <span style=\"color: #800000;\">(Code for the core idea in<\/span> <a href=\"https:\/\/keras.io\/\">Keras<\/a>. <span style=\"color: #800000;\">With other helper functions dropout+BB-alpha can be implemented in less than 30 lines.)<\/span><\/p>\n<p class=\"title mathjax\" style=\"text-align: center;\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/attack_targeted.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-934 size-full\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/attack_targeted.png\" alt=\"\" width=\"625\" height=\"388\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/attack_targeted.png 625w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/attack_targeted-300x186.png 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/a><\/p>\n<p class=\"title mathjax\" style=\"text-align: center;\"><span style=\"color: #800000;\">(Bayesian NN could detect adversarial examples (FGS targeted attack))<\/span><\/p>\n<p class=\"title mathjax\"><span style=\"color: #800000;\">Show me your loss function, and I will return you an objective function that trains a Bayesian NN with<\/span> <a href=\"http:\/\/jmlr.org\/proceedings\/papers\/v48\/hernandez-lobatob16.html\">BB-alpha<\/a> <span style=\"color: #800000;\">and dropout! We extended the<\/span> <a href=\"http:\/\/jmlr.org\/proceedings\/papers\/v48\/gal16.html\">dropout variational inference<\/a> <span style=\"color: #800000;\">idea to minimising alpha-divergences, and the proposed re-formulation can be implemented very efficiently with any high-level deep learning framework. You can try any dropout techniques (<\/span><a href=\"http:\/\/jmlr.org\/papers\/volume15\/srivastava14a\/srivastava14a.pdf\">Bernoulli, Gaussian<\/a>, <a href=\"https:\/\/arxiv.org\/pdf\/1705.07832.pdf\">Concrete<\/a>, <a href=\"http:\/\/jmlr.org\/proceedings\/papers\/v28\/wan13.html\">dropConnect<\/a>, <span style=\"color: #800000;\">and even<\/span> <a href=\"https:\/\/arxiv.org\/abs\/1603.09382\">stochastic depth<\/a><span style=\"color: #800000;\">) and select the best alpha for your need. As a side-project we also showed that Bayesian NNs can be used to detect adversarial examples, both in untargeted and targeted attacks.<\/span><\/p>\n<p class=\"title mathjax\"><\/div><\/p>\n<p class=\"title mathjax\"><strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"http:\/\/arxiv.org\/abs\/1602.02311\" target=\"_blank\" rel=\"noopener noreferrer\">R\u00e9nyi Divergence Variational Inference<\/a>. Neural Processing Information Systems (NIPS), 2016.\u00a0<span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/YingzhenLi\/vae_renyi_divergence\">code<\/a><\/span>\u00a0 <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1769350085, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1769350085\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1769350085\" style=\"display: none;\"><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/emoji_vrbound.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-824 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/emoji_vrbound-1024x279.png\" alt=\"emoji_vrbound\" width=\"700\" height=\"191\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/emoji_vrbound-1024x279.png 1024w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/emoji_vrbound-300x82.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/emoji_vrbound-768x210.png 768w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/emoji_vrbound.png 1074w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(credit to<\/span> <a href=\"http:\/\/www.inference.vc\/variational-renyi-lower-bound\/\">Ferenc Husz\u00e1r<\/a>, <span style=\"color: #800000;\">thanks for your fun emoji illustration!)<\/span><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/meanfield_vr.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-810 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/meanfield_vr.png\" alt=\"meanfield_vr\" width=\"770\" height=\"270\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/meanfield_vr.png 770w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/meanfield_vr-300x105.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/08\/meanfield_vr-768x269.png 768w\" sizes=\"auto, (max-width: 770px) 100vw, 770px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">(mean-field approximation for Bayesian linear regression)<\/span><\/p>\n<p><span style=\"color: #800000;\">The goal of approximate inference is to get accurate posterior approximations in a fast way. However the definition of \"accurate\" really depends on what you actually want. You as the user specify the approximation family that suits your constraints, and <strong>my job here is to provide you a flexible inference framework that allows you to fine-tune the alpha parameter to get the best for your need.<\/strong> No painstaking derivations again and again!<\/span><\/p>\n<p><span style=\"color: #800000;\"> (Previously titled \"Variational Inference with R\u00e9nyi Divergence\")<\/span><\/p>\n<p class=\"title mathjax\"><\/div><\/p>\n<p class=\"title mathjax\"><a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>*, <strong>Yingzhen Li<\/strong>*, <a href=\"https:\/\/www.maths.cam.ac.uk\/mark-rowland\">Mark Rowland<\/a>, <a href=\"http:\/\/dhnzl.org\/\">Daniel Hern\u00e1ndez-Lobato<\/a>, <a href=\"http:\/\/mlg.eng.cam.ac.uk\/thang\/\">Thang Bui<\/a>\u00a0and\u00a0<a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"http:\/\/jmlr.org\/proceedings\/papers\/v48\/hernandez-lobatob16.html\" target=\"_blank\" rel=\"noopener noreferrer\">Black-box <span id=\"MathJax-Element-1-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"texatom\"><span id=\"MathJax-Span-4\" class=\"mrow\"><span id=\"MathJax-Span-5\" class=\"mo\">\u03b1<\/span><\/span><\/span><\/span><\/span><\/span>-divergence Minimization<\/a>. International Conference on Machine Learning (ICML), 2016.\u00a0 <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/bitbucket.org\/jmh233\/code_black_box_alpha_icml_2016\">code<\/a><\/span> <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1493344340, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1493344340\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1493344340\" style=\"display: none;\"><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/alpha_divergence.png\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-800 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/alpha_divergence.png\" alt=\"alpha_divergence\" width=\"396\" height=\"224\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">A taste of alpha-divergences. (Original visualisation credit:<\/span> <a href=\"https:\/\/www.seas.harvard.edu\/courses\/cs281\/papers\/minka-divergence.pdf#3\">Tom Minka<\/a><span style=\"color: #800000;\">)<\/span><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/relationship.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-801 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/relationship-300x115.png\" alt=\"relationship\" width=\"412\" height=\"158\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/relationship-300x115.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/relationship-768x295.png 768w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/relationship-1024x394.png 1024w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2016\/06\/relationship.png 1300w\" sizes=\"auto, (max-width: 412px) 100vw, 412px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800000;\">Connections to existing methods.<\/span><\/p>\n<p class=\"title mathjax\"><\/div><\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/thang\/\">Thang Bui<\/a>, <a href=\"http:\/\/dhnzl.org\/\">Daniel Hern\u00e1ndez-Lobato<\/a>, <a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>, <strong>Yingzhen Li<\/strong> and\u00a0<a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"http:\/\/jmlr.org\/proceedings\/papers\/v48\/bui16.html\" target=\"_blank\" rel=\"noopener noreferrer\">Deep Gaussian Processes for Regression using Approximate Expectation Propagation<\/a>. International Conference on Machine Learning (ICML), 2016.\u00a0 <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/thangbui\/deepGP_approxEP\">code<\/a> <\/span><span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1511912288, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1511912288\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1511912288\" style=\"display: none;\"><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/deepgp_cartoon.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-834 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/deepgp_cartoon.png\" alt=\"deepgp_cartoon\" width=\"770\" height=\"469\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/deepgp_cartoon.png 770w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/deepgp_cartoon-300x183.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/deepgp_cartoon-768x468.png 768w\" sizes=\"auto, (max-width: 770px) 100vw, 770px\" \/><\/a><\/p>\n<p style=\"text-align: center;\">(Fig credit: Wikipedia pages &amp; <a href=\"http:\/\/mlg.eng.cam.ac.uk\/thang\/\">Thang Bui<\/a>)<\/p>\n<p style=\"text-align: left;\"><span style=\"color: #800000;\">Under<\/span> <a href=\"http:\/\/www.cs.utoronto.ca\/~radford\/ftp\/thesis.pdf#45\" target=\"_blank\" rel=\"noopener noreferrer\">some conditions<\/a>, <span style=\"color: #800000;\"><strong>a Gaussian process model can be viewed as a one-hidden-layer neural network with an infinite number of hidden units<\/strong>. So it makes sense to make GPs \"deep\", and there you go the<\/span> <a href=\"http:\/\/www.jmlr.org\/proceedings\/papers\/v31\/damianou13a.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">deep Gaussian processes<\/a>. <span style=\"color: #800000;\">However inference for deep GPs is non-trivial unlike regular deep neural networks, so this paper introduces <strong>a scalable inference method<\/strong> for them using Gaussian propagation. GPs are state-of-the-art regression models and our contribution make them even so!<\/span><\/p>\n<p><\/div><\/p>\n<p><strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/jmhl.org\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jose Miguel Hernandez-Lobato<\/a> and <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\" target=\"_blank\" rel=\"noopener noreferrer\">Richard E. Turner<\/a>. <a href=\"https:\/\/papers.nips.cc\/paper\/5760-stochastic-expectation-propagation\" target=\"_blank\" rel=\"noopener noreferrer\">Stochastic Expectation Propagation<\/a><em>.<\/em>\u00a0Neural Processing Information Systems (NIPS), 2015 (<strong>spotlight, 4.5%<\/strong>).\u00a0 <span style=\"color: #ff0000;\"><a style=\"color: #ff0000;\" href=\"https:\/\/github.com\/YingzhenLi\/stochastic-EP\/tree\/master\/MoG_code\">demo<\/a><\/span> <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1778197632, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1778197632\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1778197632\" style=\"display: none;\"><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2015\/06\/sep.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-745 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2015\/06\/sep.png\" alt=\"sep\" width=\"637\" height=\"508\" \/><\/a><\/p>\n<p><\/div><\/p>\n<p class=\"title mathjax\"><span style=\"color: #000080;\"><strong>Workshop Preprints<\/strong><\/span><\/p>\n<p><a href=\"http:\/\/www.damtp.cam.ac.uk\/user\/sl767\/\">Sebastian Lunz<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"https:\/\/www.microsoft.com\/en-us\/research\/people\/awf\/\">Andrew Fitzgibbon<\/a> and <a href=\"http:\/\/www.kushman.org\/\">Nate Kushman<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2002.12674\">Inverse Graphics GAN: Learning to Generate 3D Shapes from Unstructured 2D Data<\/a>. NeurIPS 2020 workshop on\u00a0Differentiable vision, graphics, and physics applied to machine learning (DiffCVGP), 2020.<\/p>\n<p><a href=\"https:\/\/causallu.com\/\">Chaochao Lu<\/a>, <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>, <strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/www.kushman.org\/\">Nate Kushman<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2007.12411\">Interpreting Spatially Infinite Generative Models<\/a>. ICML 2020 Workshop on Human Interpretability in Machine Learning (WHI), 2020.<\/p>\n<p><a href=\"http:\/\/mlg.eng.cam.ac.uk\/?portfolio=andrew-foong-yue-kwang\">Andrew Y.K. Foong<\/a>, <strong>Yingzhen Li<\/strong>,\u00a0<a href=\"http:\/\/jmhl.org\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a> and <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/1906.11537\">\"In-Between\" Uncertainty for Bayesian Neural Networks<\/a>. ICML 2019 workshop on Uncertainty &amp; Robustness in Deep Learning (oral)<\/p>\n<p><strong>Yingzhen Li<\/strong>. <a href=\"http:\/\/bayesiandeeplearning.org\/2017\/papers\/39.pdf\">Approximate Gradient Descent for Training Implicit Generative Models<\/a>. NIPS 2017 Bayesian Deep Learning workshop. 2017.<\/p>\n<p class=\"title mathjax\"><strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a> and <a href=\"http:\/\/www.cs.dartmouth.edu\/~qliu\/\">Qiang Liu<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/1702.08343\" target=\"_blank\" rel=\"noopener noreferrer\">Approximate Inference with Amortised MCMC<\/a>. ICML 2017 Workshop on Implicit Generative Models. 2017. <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(1688425298, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink1688425298\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read1688425298\" style=\"display: none;\"><\/p>\n<p class=\"title mathjax\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/amccartoon.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium_large wp-image-865 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/amccartoon-768x512.png\" alt=\"amccartoon\" width=\"700\" height=\"467\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/amccartoon-768x512.png 768w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/amccartoon-300x200.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/amccartoon.png 900w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/a><\/p>\n<p class=\"title mathjax\" style=\"text-align: center;\"><span style=\"color: #800000;\">(Yes, this is the whole idea, no much need to explain in equations.)<\/span><\/p>\n<p class=\"title mathjax\"><span style=\"color: #800000;\">Amortised MCMC is an extremely flexible approximate inference framework. It is completely up to you to specify the sample generator, the Markov chain transition kernel, and the update rule for that generator. In the experiments, we specifically defined the sample generating process by warping simple randomness through a deep neural network, and the update rule was a<\/span> <a href=\"https:\/\/arxiv.org\/pdf\/1406.2661.pdf\">GAN<\/a><span style=\"color: #800000;\">-like method but acting in latent space. I'm very excited about this work and would like to see extensions to discrete distributions as well!<\/span><\/p>\n<p class=\"title mathjax\"><\/div><\/p>\n<p class=\"title mathjax\"><strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/www.cs.dartmouth.edu\/~qliu\/\">Qiang Liu<\/a>. <a href=\"http:\/\/approximateinference.org\/accepted\/LiLiu2016.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Wild Variational Approximations<\/a>. preprint presented in NIPS Advances in approximate inference, 2016. <span style=\"background-color: #fff;\"><a onclick=\"read_toggle(648203399, 'cartoon', 'hide'); return false;\" class=\"read-link\" id=\"readlink648203399\" style=\"color: #FF8500;font-weight: 800;font-family: Arial, Helvetica, sans-serif;font-size: 12px;padding: 12px 12px 12px 12px;\" href=\"#\">cartoon<\/a><\/span>\n<div class=\"read_div\" id=\"read648203399\" style=\"display: none;\"><\/p>\n<p class=\"title mathjax\" style=\"text-align: center;\"><a href=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/zoo.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-848 aligncenter\" src=\"http:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/zoo-1024x630.png\" alt=\"zoo\" width=\"700\" height=\"431\" srcset=\"https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/zoo-1024x630.png 1024w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/zoo-300x185.png 300w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/zoo-768x472.png 768w, https:\/\/yingzhenli.net\/home\/en\/wp-content\/uploads\/2013\/02\/zoo.png 1445w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/a><span style=\"color: #800000;\">(A zoo of inference engines available at late 2016)<\/span><\/p>\n<p class=\"title mathjax\"><span style=\"color: #800000;\">It would be fantastic if we can get the \"lion king\" (neural network transform) to help beat the \"demon dragon\" (exact posterior)! In this preliminary work we discussed several potential proposals to train a \"wild approximation\" in which prediction is tractable but the density of q might be difficult to evaluate. We presented it at the NIPS 2016 approximate inference workshop with preliminary results for toy examples and generative models.<\/span><\/p>\n<p class=\"title mathjax\"><\/div><\/p>\n<p class=\"firstHeading\" lang=\"en\"><strong>Yingzhen Li<\/strong> and <a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"http:\/\/approximateinference.org\/accepted\/LiTurner2016.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">A Unifying Approximate Inference Framework from Variational Free Energy Relaxation<\/a>. NIPS Advances in approximate inference workshop, 2016<\/p>\n<p class=\"firstHeading\" lang=\"en\"><a href=\"http:\/\/dhnzl.org\/\">Daniel Hern\u00e1ndez-Lobato<\/a>, <a href=\"http:\/\/jmhl.org\/\">Jos\u00e9 Miguel Hern\u00e1ndez-Lobato<\/a>, <strong>Yingzhen Li<\/strong>, <a href=\"http:\/\/mlg.eng.cam.ac.uk\/thang\/\">Thang Bui<\/a>\u00a0and\u00a0<a href=\"http:\/\/cbl.eng.cam.ac.uk\/Public\/Turner\/WebHome\">Richard E. Turner<\/a>. <a href=\"http:\/\/arxiv.org\/abs\/1511.03249\" target=\"_blank\" rel=\"noopener noreferrer\">Stochastic Expectation Propagation for Large Scale Gaussian Process Classification<\/a>. NIPS Advances in approximate inference workshop (contributed talk), 2015<\/p>\n<p class=\"title mathjax\"><strong>Yingzhen Li<\/strong> and Ye Zhang. <a href=\"http:\/\/arxiv.org\/abs\/1208.4147\" target=\"_blank\" rel=\"noopener noreferrer\">Generating ordered list of Recommended Items: a Hybrid Recommender System of Microblog<\/a>. 2012<\/p>\n<p><strong>Thesis<\/strong><\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/pdf\/phd_thesis.pdf\">Approximate Inference: New Visions.<\/a> PhD in Engineering, University of Cambridge, June 2018.<\/p>\n<p><em><a href=\"http:\/\/yingzhenli.net\/home\/pdf\/undergrad_thesis.pdf\">Compressed Sensing and Related Learning Problems.<\/a><\/em> <em>B.S. in Mathematics, Sun Yat-sen University, May 2013.<\/em> (Best B.S. Thesis Award).\u00a0[<a href=\"http:\/\/yingzhenli.net\/home\/pdf\/undergrad_thesis_slide.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">slides<\/a>]<\/p>\n<p><a href=\"http:\/\/yingzhenli.net\/home\/en\/?page_id=534\">Things I've done in my undergrad years<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Working papers Wuhao Chen, Zijing Ou and Yingzhen Li. Neural Flow Samplers with Shortcut Models. In submission. 2025. Harrison Zhu, Adam Howes, Owen van Eer, Maxime Richard, Yingzhen Li, Dino Sejdinovic and Seth Flaxman. Aggregated Gaussian Processes with Multiresolution Earth Observation Covariates. 2022. Wenbo Gong and Yingzhen Li.\u00a0Interpreting Diffusion Score Matching using Normalizing Flow. ICML ... <span class=\"more\"><a class=\"more-link\" href=\"https:\/\/yingzhenli.net\/home\/en\/?page_id=345\">[Read more...]<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["entry","page","publish","author-admin","post-345"],"_links":{"self":[{"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=\/wp\/v2\/pages\/345","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=345"}],"version-history":[{"count":230,"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=\/wp\/v2\/pages\/345\/revisions"}],"predecessor-version":[{"id":1719,"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=\/wp\/v2\/pages\/345\/revisions\/1719"}],"wp:attachment":[{"href":"https:\/\/yingzhenli.net\/home\/en\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}