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There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

Machine Learning · Computer Science 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle

Finding collective variables to describe some important coarse-grained information on physical systems, in particular metastable states, remains a key issue in molecular dynamics. Recently, machine learning techniques have been intensively…

Chemical Physics · Physics 2024-03-15 Tony Lelièvre , Thomas Pigeon , Gabriel Stoltz , Wei Zhang

Continuously-observed event occurrences, often exhibit self- and mutually-exciting effects, which can be well modeled using temporal point processes. Beyond that, these event dynamics may also change over time, with certain periodic trends.…

Machine Learning · Computer Science 2024-03-11 Sikun Yang , Hongyuan Zha

A High-dimensional and sparse (HiDS) matrix is frequently encountered in a big data-related application like an e-commerce system or a social network services system. To perform highly accurate representation learning on it is of great…

Machine Learning · Computer Science 2022-04-19 Di Wu , Yi He , Xin Luo

The unsupervised Pretraining method has been widely used in aiding human action recognition. However, existing methods focus on reconstructing the already present frames rather than generating frames which happen in future.In this paper, We…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Yu Runsheng , Shi Zhenyu , Ma Qiongxiong , Qing Laiyun

The diversity of post-training data is critical for effective downstream performance in large language models (LLMs). Many existing approaches to constructing post-training data quantify diversity using text-based metrics that capture…

Computation and Language · Computer Science 2026-05-29 Zhongzhi Li , Xuansheng Wu , Yijiang Li , Lijie Hu , Ninghao Liu

Turbulent flows are chaotic and multi-scale dynamical systems, which have large numbers of degrees of freedom. Turbulent flows, however, can be modelled with a smaller number of degrees of freedom when using the appropriate coordinate…

Machine Learning · Computer Science 2024-12-11 Yaxin Mo , Tullio Traverso , Luca Magri

Variational autoencoder (VAE) is a very successful generative model whose key element is the so called amortized inference network, which can perform test time inference using a single feed forward pass. Unfortunately, this comes at the…

Machine Learning · Computer Science 2021-02-08 Minyoung Kim , Vladimir Pavlovic

In some multivariate problems with missing data, pairs of variables exist that are never observed together. For example, some modern biological tools can produce data of this form. As a result of this structure, the covariance matrix is…

Methodology · Statistics 2013-08-13 Max Grazier G'Sell , Shai S. Shen-Orr , Robert Tibshirani

Factor analysis refers to a statistical model in which observed variables are conditionally independent given fewer hidden variables, known as factors, and all the random variables follow a multivariate normal distribution. The parameter…

Statistics Theory · Mathematics 2010-03-04 Mathias Drton , Bernd Sturmfels , Seth Sullivant

Disentangling complex data to its latent factors of variation is a fundamental task in representation learning. Existing work on sequential disentanglement mostly provides two factor representations, i.e., it separates the data to…

Machine Learning · Computer Science 2023-03-31 Nimrod Berman , Ilan Naiman , Omri Azencot

Generalized latent factor analysis not only provides a useful latent embedding approach in statistics and machine learning, but also serves as a widely used tool across various scientific fields, such as psychometrics, econometrics, and…

Methodology · Statistics 2025-08-11 Chengyu Cui , Gongjun Xu

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

Machine Learning · Computer Science 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

The mixture of factor analyzers (MFA) model provides a powerful tool for analyzing high-dimensional data as it can reduce the number of free parameters through its factor-analytic representation of the component covariance matrices. This…

Methodology · Statistics 2013-07-09 Tsung-I Lin , Geoffrey J. McLachlan , Sharon X. Lee

The variational autoencoder (VAE) is a popular combination of deep latent variable model and accompanying variational learning technique. By using a neural inference network to approximate the model's posterior on latent variables, VAEs…

Machine Learning · Computer Science 2019-01-30 Junxian He , Daniel Spokoyny , Graham Neubig , Taylor Berg-Kirkpatrick

Powerful generative models, particularly in Natural Language Modelling, are commonly trained by maximizing a variational lower bound on the data log likelihood. These models often suffer from poor use of their latent variable, with ad-hoc…

Machine Learning · Statistics 2018-06-13 Alex Mansbridge , Roberto Fierimonte , Ilya Feige , David Barber

Inferring causal relationships from observed data is an important task, yet it becomes challenging when the data is subject to various external interferences. Most of these interferences are the additional effects of external factors on…

Machine Learning · Computer Science 2025-11-14 Ruichu Cai , Xiaokai Huang , Wei Chen , Zijian Li , Zhifeng Hao

In this study, we develop a latent factor model for analysing high-dimensional binary data. Specifically, a standard probit model is used to describe the regression relationship between the observed binary data and the continuous latent…

Methodology · Statistics 2024-04-15 Jiaxin Shi , Yuan Gao , Rui Pan , Hansheng Wang

Unsupervised representation learning seeks to recover latent generative factors, yet standard methods relying on statistical independence often fail to capture causal dependencies. A central challenge is identifiability: as established in…

Machine Learning · Computer Science 2025-12-30 Hans Jarett J. Ong , Brian Godwin S. Lim , Dominic Dayta , Renzo Roel P. Tan , Kazushi Ikeda

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