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Generative data augmentation, which scales datasets by obtaining fake labeled examples from a trained conditional generative model, boosts classification performance in various learning tasks including (semi-)supervised learning, few-shot…

Machine Learning · Computer Science 2023-05-30 Chenyu Zheng , Guoqiang Wu , Chongxuan Li

We consider the problem of estimating multiple related but distinct graphical models on the basis of a high-dimensional data set with observations that belong to distinct classes. A motivating example occurs in the analysis of gene…

Methodology · Statistics 2012-07-12 Patrick Danaher , Pei Wang , Daniela M. Witten

We propose a highly data-efficient active learning framework for image classification. Our novel framework combines: (1) unsupervised representation learning of a Convolutional Neural Network and (2) the Gaussian Process (GP) method, in…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Heng Hao , Hankyu Moon , Sima Didari , Jae Oh Woo , Patrick Bangert

It has been estimated that about 30% of the genes in the human genome are regulated by microRNAs (miRNAs). These are short RNA sequences that can down-regulate the levels of mRNAs or proteins in animals and plants. Genes regulated by miRNAs…

Applications · Statistics 2011-01-10 Francesco C. Stingo , Yian A. Chen , Marina Vannucci , Marianne Barrier , Philip E. Mirkes

When characterizing materials, it can be important to not only predict their mechanical properties, but also to estimate the probability distribution of these properties across a set of samples. Constitutive neural networks allow for the…

Computational Engineering, Finance, and Science · Computer Science 2025-03-18 Jeremy A. McCulloch , Ellen Kuhl

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

Methodology · Statistics 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

High spectral dimensionality and the shortage of annotations make hyperspectral image (HSI) classification a challenging problem. Recent studies suggest that convolutional neural networks can learn discriminative spatial features, which…

Computer Vision and Pattern Recognition · Computer Science 2018-02-13 Zilong Zhong , Jonathan Li

We study simultaneous inference for multiple matrix-variate Gaussian graphical models in high-dimensional settings. Such models arise when spatiotemporal data are collected across multiple sample groups or experimental sessions, where each…

Methodology · Statistics 2026-01-21 Zongge Liu , Heejong Bong , Zhao Ren , Matthew A. Smith , Robert E. Kass

Low-altitude Gaussian splatting (LAGS) facilitates 3D scene reconstruction by aggregating aerial images from distributed drones. However, as LAGS prioritizes maximizing reconstruction quality over communication throughput, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Yikun Wang , Yujie Wan , Wei Zuo , Shuai Wang , Yik-Chung Wu , Chengzhong Xu , Huseyin Arslan

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Deep learning is a hierarchical inference method formed by subsequent multiple layers of learning able to more efficiently describe complex relationships. In this work, Deep Gaussian Mixture Models are introduced and discussed. A Deep…

Machine Learning · Statistics 2017-11-21 Cinzia Viroli , Geoffrey J. McLachlan

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

Machine Learning · Computer Science 2023-03-09 Florence Regol , Mark Coates

Aggregated data is commonplace in areas such as epidemiology and demography. For example, census data for a population is usually given as averages defined over time periods or spatial resolutions (cities, regions or countries). In this…

Machine Learning · Statistics 2020-02-20 Fariba Yousefi , Michael Thomas Smith , Mauricio A. Álvarez

We discuss the Gaussian graphical model (GGM; an undirected network of partial correlation coefficients) and detail its utility as an exploratory data analysis tool. The GGM shows which variables predict one-another, allows for sparse…

Methodology · Statistics 2018-02-09 Sacha Epskamp , Lourens J. Waldorp , René Mõttus , Denny Borsboom

Federated learning has emerged as a paradigm to train models collaboratively on inherently distributed client data while safeguarding privacy. In this context, personalized federated learning tackles the challenge of data heterogeneity by…

Machine Learning · Computer Science 2026-03-13 Peng Hu , Jianwei Ma

The combination and aggregation of knowledge from multiple neural networks can be commonly seen in the form of mixtures of experts. However, such combinations are usually done using networks trained on the same tasks, with little mention of…

Machine Learning · Computer Science 2021-03-26 Chen Wen Kang , Chua Meng Hong , Tomas Maul

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

Heterogeneous Graphs (HGs) effectively model complex relationships in the real world through multi-type nodes and edges. In recent years, inspired by self-supervised learning (SSL), contrastive learning (CL)-based Heterogeneous Graphs…

Machine Learning · Computer Science 2025-05-06 Yu Wang , Lei Sang , Yi Zhang , Yiwen Zhang , Xindong Wu