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An efficient way to learn deep density models that have many layers of latent variables is to learn one layer at a time using a model that has only one layer of latent variables. After learning each layer, samples from the posterior…

Machine Learning · Computer Science 2012-06-22 Yichuan Tang , Ruslan Salakhutdinov , Geoffrey Hinton

Dyadic Data Prediction (DDP) is an important problem in many research areas. This paper develops a novel fully Bayesian nonparametric framework which integrates two popular and complementary approaches, discrete mixed membership modeling…

Machine Learning · Computer Science 2016-01-15 Guangyong Chen , Fengyuan Zhu , Pheng Ann Heng

We study one particular type of multivariate spatial autoregression (MSAR) model with diverging dimensions in both responses and covariates. This makes the usual MSAR models no longer applicable due to the high computational cost. To…

Methodology · Statistics 2025-09-03 Jiaxin Shi , Xuening Zhu , Jing Zhou , Baichen Yu , Hansheng Wang

The recent work Local Implicit Image Function (LIIF) and subsequent Implicit Neural Representation (INR) based works have achieved remarkable success in Arbitrary-Scale Super-Resolution (ASSR) by using MLP to decode Low-Resolution (LR)…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Zongyao He , Zhi Jin

High-dimensional and incomplete (HDI) data, characterized by massive node interactions, have become ubiquitous across various real-world applications. Second-order latent factor models have shown promising performance in modeling this type…

Machine Learning · Computer Science 2025-07-08 Jialiang Wang , Junzhou Wang , Xin Liao

Its conceptual appeal and effectiveness has made latent factor modeling an indispensable tool for multivariate analysis. Despite its popularity across many fields, there are outstanding methodological challenges that have hampered practical…

Methodology · Statistics 2018-12-12 Kenichiro McAlinn , Veronika Rockova , Enakshi Saha

Neural recording technologies now enable simultaneous recording of population activity across many brain regions, motivating the development of data-driven models of communication between brain regions. However, existing models can struggle…

Neurons and Cognition · Quantitative Biology 2025-10-06 Belle Liu , Jacob Sacks , Matthew D. Golub

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

The amount of high-dimensional large-scale RNA sequencing data derived from multiple heterogeneous sources has increased exponentially in biological science. During data collection, significant technical noise or errors may occur. To…

Applications · Statistics 2025-06-24 Xiaolu Jiang , Wei Liu

Sequence model based NLP applications can be large. Yet, many applications that benefit from them run on small devices with very limited compute and storage capabilities, while still having run-time constraints. As a result, there is a need…

Computation and Language · Computer Science 2020-10-08 Urmish Thakker , Jesse Beu , Dibakar Gope , Ganesh Dasika , Matthew Mattina

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

An alternating-direction-method-based nonnegative latent factor model can perform efficient representation learning to a high-dimensional and incomplete (HDI) matrix. However, it introduces multiple hyper-parameters into the learning…

Machine Learning · Computer Science 2022-04-12 Yurong Zhong , Xin Luo

As Machine Learning (ML) applications rapidly grow, concerns about adversarial attacks compromising their reliability have gained significant attention. One unsupervised ML method known for its resilience to such attacks is Non-negative…

Machine Learning · Computer Science 2024-08-08 Minh Vu , Ben Nebgen , Erik Skau , Geigh Zollicoffer , Juan Castorena , Kim Rasmussen , Boian Alexandrov , Manish Bhattarai

In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification on the resulting lower dimensional projections. In this…

Statistics Theory · Mathematics 2025-08-05 Xin Bing , Marten Wegkamp

Matrix factorization (MF) has been widely used to discover the low-rank structure and to predict the missing entries of data matrix. In many real-world learning systems, the data matrix can be very high-dimensional but sparse. This poses an…

Information Retrieval · Computer Science 2019-01-08 Xiangnan He , Jinhui Tang , Xiaoyu Du , Richang Hong , Tongwei Ren , Tat-Seng Chua

High-Dimensional and Incomplete matrices, which usually contain a large amount of valuable latent information, can be well represented by a Latent Factor Analysis model. The performance of an LFA model heavily rely on its optimization…

Machine Learning · Computer Science 2023-02-24 Jia Chen , Yixian Chun , Yuanyi Liu , Renyu Zhang , Yang Hu

Learning from multimodal datasets can leverage complementary information and improve performance in prediction tasks. A commonly used strategy to account for feature correlations in high-dimensional datasets is the latent variable approach.…

Machine Learning · Computer Science 2024-10-01 Lingchao Mao , Qi wang , Yi Su , Fleming Lure , Jing Li

In recent years, a number of methods have been developed for the dimension reduction and decomposition of multiple linked high-content data matrices. Typically these methods assume that just one dimension, rows or columns, is shared among…

Methodology · Statistics 2020-02-10 Michael J. O'Connell , Eric F. Lock

A large-scale dynamic network (LDN) is a source of data in many big data-related applications due to their large number of entities and large-scale dynamic interactions. They can be modeled as a high-dimensional incomplete (HDI) tensor that…

Machine Learning · Computer Science 2023-05-05 Aoling Zeng

Amortized variational inference in latent-variable forecasters creates a deployment gap: the test-time encoder approximates a training-time optimization-refined latent, but without access to future targets. This gap introduces unnecessary…

Machine Learning · Computer Science 2026-02-17 Abhijit Gupta