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This paper introduces the Descriptive Variational Autoencoder (DVAE), an unsupervised and end-to-end trainable neural network for predicting vehicle trajectories that provides partial interpretability. The novel approach is based on the…

Machine Learning · Computer Science 2021-06-25 Marion Neumeier , Andreas Tollkühn , Thomas Berberich , Michael Botsch

The variational autoencoder (VAE) is a powerful generative model that can estimate the probability of a data point by using latent variables. In the VAE, the posterior of the latent variable given the data point is regularized by the prior…

Machine Learning · Statistics 2019-12-30 Hiroshi Takahashi , Tomoharu Iwata , Yuki Yamanaka , Masanori Yamada , Satoshi Yagi

The identification of Linear Time-Varying (LTV) systems from input-output data is a fundamental yet challenging ill-posed inverse problem. This work introduces a unified Bayesian framework that models the system's impulse response, $h(t,…

Machine Learning · Statistics 2026-04-01 Yaniv Shulman

Despite advances in deep probabilistic models, learning discrete latent representations remains challenging. This work introduces a novel method to improve inference in discrete Variational Autoencoders by reframing the inference problem…

Machine Learning · Computer Science 2025-06-11 María Martínez-García , Grace Villacrés , David Mitchell , Pablo M. Olmos

As one of the most popular generative models, Variational Autoencoder (VAE) approximates the posterior of latent variables based on amortized variational inference. However, when the decoder network is sufficiently expressive, VAE may lead…

Machine Learning · Computer Science 2021-10-26 Dazhong Shen , Chuan Qin , Chao Wang , Hengshu Zhu , Enhong Chen , Hui Xiong

The Variational Autoencoder (VAE) is a seminal approach in deep generative modeling with latent variables. Interpreting its reconstruction process as a nonlinear transformation of samples from the latent posterior distribution, we apply the…

Machine Learning · Computer Science 2023-06-09 Faris Janjoš , Lars Rosenbaum , Maxim Dolgov , J. Marius Zöllner

Traffic flow estimation (TFE) is crucial for intelligent transportation systems. Traditional TFE methods rely on extensive road sensor networks and typically incur significant costs. Sparse mobile crowdsensing enables a cost-effective…

Artificial Intelligence · Computer Science 2024-07-12 Jianzhe Xue , Yunting Xu , Dongcheng Yuan , Caoyi Zha , Hongyang Du , Haibo Zhou , Dusit Niyato

We propose a variational autoencoder (VAE) approach for parameter estimation in nonlinear mixed-effects models based on ordinary differential equations (NLME-ODEs) using longitudinal data from multiple subjects. In moderate dimensions,…

Methodology · Statistics 2026-02-11 Zhe Li , Mélanie Prague , Rodolphe Thiébaut , Quentin Clairon

Variational autoencoder (VAE) is a widely used generative model for learning latent representations. Burda et al. in their seminal paper showed that learning capacity of VAE is limited by over-pruning. It is a phenomenon where a significant…

Machine Learning · Computer Science 2020-08-10 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Martin Kleinsteuber

We consider the problem of lossy image compression with deep latent variable models. State-of-the-art methods build on hierarchical variational autoencoders (VAEs) and learn inference networks to predict a compressible latent representation…

Image and Video Processing · Electrical Eng. & Systems 2021-01-11 Yibo Yang , Robert Bamler , Stephan Mandt

Bayesian factor models are widely used for dimensionality reduction and pattern discovery in high-dimensional datasets across diverse fields. These models typically focus on imposing priors on factor loading to induce sparsity and improve…

Methodology · Statistics 2025-04-08 Yingjie Huang , Dafne Zorzetto , Roberta De Vito

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

Methodology · Statistics 2025-07-29 Yifan Cheng , Cheng Li

Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

Machine Learning · Statistics 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

The variational autoencoder (VAE; Kingma, Welling (2014)) is a recently proposed generative model pairing a top-down generative network with a bottom-up recognition network which approximates posterior inference. It typically makes strong…

Machine Learning · Computer Science 2016-11-08 Yuri Burda , Roger Grosse , Ruslan Salakhutdinov

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

Tensors have found application in a variety of fields, ranging from chemometrics to signal processing and beyond. In this paper, we consider the problem of multilinear modeling of sparse count data. Our goal is to develop a descriptive…

Numerical Analysis · Mathematics 2013-09-16 Eric C. Chi , Tamara G. Kolda

In recent years, image recognition method has been a research hotspot in various fields such as video surveillance, biometric identification, unmanned vehicles, human-computer interaction, and medical image recognition. Existing recognition…

Methodology · Statistics 2025-05-12 Yunzhi Jin , Yanqing Zhang , Niansheng Tang

We propose a flipped-Adversarial AutoEncoder (FAAE) that simultaneously trains a generative model G that maps an arbitrary latent code distribution to a data distribution and an encoder E that embodies an "inverse mapping" that encodes a…

Machine Learning · Computer Science 2018-04-05 Jiyi Zhang , Hung Dang , Hwee Kuan Lee , Ee-Chien Chang

We present a general framework, the coupled compound Poisson factorization (CCPF), to capture the missing-data mechanism in extremely sparse data sets by coupling a hierarchical Poisson factorization with an arbitrary data-generating model.…

Machine Learning · Computer Science 2017-01-10 Mehmet E. Basbug , Barbara E. Engelhardt

Data assimilation refers to a set of algorithms designed to compute the optimal estimate of a system's state by refining the prior prediction (known as background states) using observed data. Variational assimilation methods rely on the…

Machine Learning · Computer Science 2024-05-24 Yi Xiao , Qilong Jia , Wei Xue , Lei Bai