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Linear mixed-effects model (LMM) is a cornerstone of longitudinal data analysis, but is limited to adeptly make heterogeneous analyses predictable under both group-specific fixed effects and subject-specific random effects. To address this…

Methodology · Statistics 2026-03-10 Xinkai Yue , Xiaodong Yan , Haohui Han , Liya Fu

Many rare diseases offer limited established treatment options, leading patients to switch therapies when new medications emerge. To analyze the impact of such treatment switches within the low sample size limitations of rare disease…

Latent variable models (LVMs) represent observed variables by parameterized functions of latent variables. Prominent examples of LVMs for unsupervised learning are probabilistic PCA or probabilistic SC which both assume a weighted linear…

Machine Learning · Computer Science 2023-12-18 Hamid Mousavi , Jakob Drefs , Florian Hirschberger , Jörg Lücke

Modern biomedical datasets are increasingly high dimensional and exhibit complex correlation structures. Generalized Linear Mixed Models (GLMMs) have long been employed to account for such dependencies. However, proper specification of the…

Deep latent variable models (DLVMs) are designed to learn meaningful representations in an unsupervised manner, such that the hidden explanatory factors are interpretable by independent latent variables (aka disentanglement). The…

Machine Learning · Computer Science 2025-01-28 Surojit Saha , Sarang Joshi , Ross Whitaker

Structured variational autoencoders (SVAEs) combine probabilistic graphical model priors on latent variables, deep neural networks to link latent variables to observed data, and structure-exploiting algorithms for approximate posterior…

Machine Learning · Statistics 2023-05-29 Yixiu Zhao , Scott W. Linderman

Variational autoencoders (VAEs) are powerful generative models with the salient ability to perform inference. Here, we introduce a quantum variational autoencoder (QVAE): a VAE whose latent generative process is implemented as a quantum…

One of the major shortcomings of variational autoencoders is the inability to produce generations from the individual modalities of data originating from mixture distributions. This is primarily due to the use of a simple isotropic Gaussian…

Machine Learning · Computer Science 2019-12-02 Frantzeska Lavda , Magda Gregorová , Alexandros Kalousis

The recently developed variational autoencoders (VAEs) have proved to be an effective confluence of the rich representational power of neural networks with Bayesian methods. However, most work on VAEs use a rather simple prior over the…

Machine Learning · Computer Science 2017-08-29 Prasoon Goyal , Zhiting Hu , Xiaodan Liang , Chenyu Wang , Eric Xing

We present generalized additive latent and mixed models (GALAMMs) for analysis of clustered data with responses and latent variables depending smoothly on observed variables. A scalable maximum likelihood estimation algorithm is proposed,…

Methodology · Statistics 2023-03-29 Øystein Sørensen , Anders M. Fjell , Kristine B. Walhovd

High-dimensional variable selection, with many more covariates than observations, is widely documented in standard regression models, but there are still few tools to address it in non-linear mixed-effects models where data are collected…

Statistics Theory · Mathematics 2024-04-08 Marion Naveau , Guillaume Kon Kam King , Renaud Rincent , Laure Sansonnet , Maud Delattre

Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

Machine Learning · Computer Science 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

The Tweedie Compound Poisson-Gamma model is routinely used for modeling non-negative continuous data with a discrete probability mass at zero. Mixed models with random effects account for the covariance structure related to the grouping…

Machine Learning · Statistics 2019-02-05 Yaodong Yang , Rui Luo , Yuanyuan Liu

Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

Although variational autoencoders (VAE) are successfully used to obtain meaningful low-dimensional representations for high-dimensional data, the characterization of critical points of the loss function for general observation models is not…

Machine Learning · Computer Science 2021-10-12 Robert Sicks , Ralf Korn , Stefanie Schwaar

Variational autoencoders (VAEs), that are built upon deep neural networks have emerged as popular generative models in computer vision. Most of the work towards improving variational autoencoders has focused mainly on making the…

Machine Learning · Statistics 2016-11-17 Siddharth Agrawal , Ambedkar Dukkipati

Multimodal generative models require a unified approach to handle both discrete data (e.g., text and code) and continuous data (e.g., image, audio, video). In this work, we propose Latent Language Modeling (LatentLM), which seamlessly…

Computation and Language · Computer Science 2024-12-12 Yutao Sun , Hangbo Bao , Wenhui Wang , Zhiliang Peng , Li Dong , Shaohan Huang , Jianyong Wang , Furu Wei

We present a generative modeling approach based on the variational inference framework for likelihood-free simulation-based inference. The method leverages latent variables within variational autoencoders to efficiently estimate complex…

Machine Learning · Computer Science 2025-10-20 Mayank Nautiyal , Andrey Shternshis , Andreas Hellander , Prashant Singh

We present a new method to visualize data ensembles by constructing structured probabilistic representations in latent spaces, i.e., lower-dimensional representations of spatial data features. Our approach transforms the spatial features of…

Machine Learning · Computer Science 2025-09-17 Cenyang Wu , Qinhan Yu , Liang Zhou

Estimating causal effects from observational data is challenging, especially in the presence of latent confounders. Much work has been done on addressing this challenge, but most of the existing research ignores the bias introduced by the…

Machine Learning · Computer Science 2024-08-15 Yang Xie , Ziqi Xu , Debo Cheng , Jiuyong Li , Lin Liu , Yinghao Zhang , Zaiwen Feng
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