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Understanding the temporal evolution of sets of vectors is a fundamental challenge across various domains, including ecology, crime analysis, and linguistics. For instance, ecosystem structures evolve due to interactions among plants,…

Machine Learning · Computer Science 2025-12-18 Taichi Aida , Mamoru Komachi , Toshinobu Ogiso , Hiroya Takamura , Daichi Mochihashi

Time series forecasting is a significant problem in many applications, e.g., financial predictions and business optimization. Modern datasets can have multiple correlated time series, which are often generated with global (shared)…

Machine Learning · Computer Science 2021-11-10 Ling Chen , Weiqi Chen , Binqing Wu , Youdong Zhang , Bo Wen , Chenghu Yang

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

Machine Learning · Statistics 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

We propose the factorized action variational autoencoder (FAVAE), a state-of-the-art generative model for learning disentangled and interpretable representations from sequential data via the information bottleneck without supervision. The…

Machine Learning · Statistics 2019-05-31 Masanori Yamada , Heecheol Kim , Kosuke Miyoshi , Hiroshi Yamakawa

A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

Methodology · Statistics 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

Sequential modelling of high-dimensional data is an important problem that appears in many domains including model-based reinforcement learning and dynamics identification for control. Latent variable models applied to sequential data…

Machine Learning · Computer Science 2023-01-23 Oliver Limoyo , Trevor Ablett , Jonathan Kelly

Irregularly-sampled time series occur in many domains including healthcare. They can be challenging to model because they do not naturally yield a fixed-dimensional representation as required by many standard machine learning models. In…

Machine Learning · Computer Science 2020-08-19 Steven Cheng-Xian Li , Benjamin M. Marlin

This work proposes a scalable probabilistic latent variable model based on Gaussian processes (Lawrence, 2004) in the context of multiple observation spaces. We focus on an application in astrophysics where data sets typically contain both…

Astrophysics of Galaxies · Physics 2025-02-28 Vidhi Lalchand , Anna-Christina Eilers

From the intuitive notion of disentanglement, the image variations corresponding to different factors should be distinct from each other, and the disentangled representation should reflect those variations with separate dimensions. To…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Xuanchi Ren , Tao Yang , Yuwang Wang , Wenjun Zeng

Variational autoencoders (VAEs) are powerful deep generative models widely used to represent high-dimensional complex data through a low-dimensional latent space learned in an unsupervised manner. In the original VAE model, the input data…

Machine Learning · Computer Science 2022-07-05 Laurent Girin , Simon Leglaive , Xiaoyu Bie , Julien Diard , Thomas Hueber , Xavier Alameda-Pineda

Time-lapse image sequences offer visually compelling insights into dynamic processes that are too slow to observe in real time. However, playing a long time-lapse sequence back as a video often results in distracting flicker due to random…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Erik Härkönen , Miika Aittala , Tuomas Kynkäänniemi , Samuli Laine , Timo Aila , Jaakko Lehtinen

In order to better model high-dimensional sequential data, we propose a collaborative multi-output Gaussian process dynamical system (CGPDS), which is a novel variant of GPDSs. The proposed model assumes that the output on each dimension is…

Machine Learning · Statistics 2019-06-11 Jing Zhao , Jingjing Fei , Shiliang Sun

The interpretation of complex high-dimensional data typically requires the use of dimensionality reduction techniques to extract explanatory low-dimensional representations. However, in many real-world problems these representations may not…

Machine Learning · Statistics 2019-06-25 Kaspar Märtens , Kieran R. Campbell , Christopher Yau

We develop deep Poisson-gamma dynamical systems (DPGDS) to model sequentially observed multivariate count data, improving previously proposed models by not only mining deep hierarchical latent structure from the data, but also capturing…

Machine Learning · Statistics 2019-01-03 Dandan Guo , Bo Chen , Hao Zhang , Mingyuan Zhou

Variational autoencoders were proven successful in domains such as computer vision and speech processing. Their adoption for modeling user preferences is still unexplored, although recently it is starting to gain attention in the current…

Machine Learning · Computer Science 2018-11-27 Noveen Sachdeva , Giuseppe Manco , Ettore Ritacco , Vikram Pudi

We develop a scalable class of models for latent variable estimation using composite Gaussian processes, with a focus on derivative Gaussian processes. We jointly model multiple data sources as outputs to improve the accuracy of latent…

Disentangled visual representations have largely been studied with generative models such as Variational AutoEncoders (VAEs). While prior work has focused on generative methods for disentangled representation learning, these approaches do…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Andrea Burns , Aaron Sarna , Dilip Krishnan , Aaron Maschinot

In many data analysis tasks, it is beneficial to learn representations where each dimension is statistically independent and thus disentangled from the others. If data generating factors are also statistically independent, disentangled…

Machine Learning · Statistics 2019-12-12 Harshvardhan Sikka , Weishun Zhong , Jun Yin , Cengiz Pehlevan

A probability distribution allows practitioners to uncover hidden structure in the data and build models to solve supervised learning problems using limited data. The focus of this report is on Variational autoencoders, a method to learn…

Machine Learning · Computer Science 2022-06-22 Vasanth Kalingeri

In this work, we explore dimensionality reduction techniques for univariate and multivariate time series data. We especially conduct a comparison between wavelet decomposition and convolutional variational autoencoders for dimension…

Machine Learning · Computer Science 2022-04-26 William Todo , Beatrice Laurent , Jean-Michel Loubes , Merwann Selmani
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