Variational autoencoder (ELBO)

area: Machine learning · 2 papers in the last 7 days

\log p_\theta(x) \ge E_{q_\phi(z \mid x)}\big[\log p_\theta(x \mid z)\big] - D_{\mathrm{KL}}\big(q_\phi(z \mid x) \parallel p(z)\big)

Generative model trained by maximizing the evidence lower bound on the data likelihood.

LaTeX: \log p_\theta(x) \ge E_{q_\phi(z \mid x)}\big[\log p_\theta(x \mid z)\big] - D_{\mathrm{KL}}\big(q_\phi(z \mid x) \parallel p(z)\big)

Names searched for: variational autoencoder, variational auto-encoder, evidence lower bound, ELBO, VAE

Key findings

Variational autoencoder (ELBO) was mentioned in 18 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #47 of the 104 equations and models mentioned.
By journal category: AI (13), Operations Research (4) and Finance (1).
Most of them appeared in Machine Learning (4), Pattern Recognition (2) and Artificial Intelligence (2).
Often mentioned together with Generative adversarial network (GAN) (9), Convolutional neural network (CNN) (7) and Logistic regression (logit) (6).
Datasets named in the same papers: CIFAR-10 / CIFAR-100 (3), UCI Machine Learning Repository (2) and ImageNet (2).

Papers mentioning Variational autoencoder (ELBO), newest first.
Date	Title	Journal	Authors	Affiliations
2026-10-23	Towards minute-level pedestrian trajectory prediction in crowded traffic scenarios	Pattern Recognition	Yonghao Dong, Sanping Zhou, Gang Hua et al.	Xi'an Jiaotong University; Amazon (United States)
2026-10-20	Central description length (CDL) clustering validation index	Artificial Intelligence	Mahdi Shamsi, Soosan Beheshti	McGill University
2026-10-17	Beyond Likelihood Ratio Bias: Nested Multi-time Scale Stochastic Approximation for Likelihood-Free Parameter Estimation	Machine Learning	Zehao Li, Zhouchen Lin, Yijie Peng	Peking University; Nanjing University
2026-10-16	Generative deep learning for class imbalance in credit risk modeling: comparative evaluation of synthetic oversampling methods and an elastic oversampling extension	Financial Innovation	Tae Yeon Kwon	Hankuk University of Foreign Studies
2026-10-16	The Challenges of Hyperparameter Tuning for Accurate Causal Effect Estimation	Machine Learning	Damian Machlanski, Spyridon Samothrakis, Paul Clarke	University of Edinburgh; University of Essex; Institute for Social and Economic Research
2026-10-15	Metropolis-scale resilient and trustworthy traffic flow inference using multi-source data	Transportation Research Part C Emerging Technologies	Qishen Zhou, Yifan Zhang, Michail Makridis et al.	Jilin University; City University of Hong Kong; City University of Hong Kong (Dongguan); …
2026-10-06	Anomaly detection in SAP S/4HANA using hybrid deep learning for multivariate time series data	Journal Of Big Data	Ram Reddy Jonnalagadda, B. P. Joshi, Kiran Kumar Reddy et al.	Osmania University; Graphic Era Hill University; Graphic Era University; …
2026-10-06	Optimization modeling in business and government: in honor of Professor John M. Mulvey on his 80th birthday	Annals of Operations Research	David A. Saunders, Stavros A. Zenios	University of Waterloo; Durham University; University of Cyprus
2026-10-03	Uncertainty quantification for trustworthy deep learning: Methods and measures	Neural Networks	H. Martin Gillis, Thomas P. Trappenberg	Dalhousie University
2026-10-01	Unbounded stick-breaking-assisted generalized Dirichlet variational autoencoder	Pattern Recognition	Akinlolu Oluwabusayo Ojo, Nizar Bouguila
2026-10-01	Addressing Methodological Challenges in Time Series Anomaly Detection	Machine Learning	Nancy Xu, Henrik Boström
2026-10-01	Blurring Modal Boundaries: A Unified Survey from Single- to Multi-modal Person Re-ldentification	International Journal of Computer Vision	Xiao Wang, Bing Wang, B Yang et al.	Wuhan University of Science and Technology; Wuhan University; Anhui University
2026-10-01	Optimization under uncertainty for energy infrastructure planning: A synthesis of methods, tools, and open challenges	European Journal of Operational Research	Rahman Khorramfar, Aron Brenner, Lara Booth et al.	Massachusetts Institute of Technology
2026-10-01	Privacy Leakage on DNNs: A Survey of Model Inversion Attacks and Defenses	International Journal of Computer Vision	Hao Fang, Yixiang Qiu, Hongyao Yu et al.	Tsinghua Shenzhen International Graduate School; Tsinghua University; Harbin Institute of Technology; …
2026-09-30	Sample-based approaches for monitoring ordinal time series in production environments	Computers & Industrial Engineering	Osama Swidan, Christian H. Weiß, Murat Caner Testik	Helmut Schmidt University; Hacettepe University
2026-09-30	P2Mark: Plug-and-play parameter-level watermarking for neural speech generation	Artificial Intelligence	Yong Sheng Ren, Jiangyan Yi, Tao Wang et al.	Chinese Academy of Sciences; Institute of Automation; University of Chinese Academy of Sciences; …
2026-09-28	CausalCACTUS: A Causally Consistent and Context-Aware Framework for Counterfactual Explanations	Machine Learning	Zhendong Wang, Diego García, José María Enguita et al.	KTH Royal Institute of Technology; Universidad de Oviedo
2026-09-28	DAMEL: Dual-axis multi-expert learning for class-imbalanced learning	Knowledge-Based Systems	Hyuck Lee, Taemin Park, Heeyoung Kim	Korea Advanced Institute of Science and Technology