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Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

We present an approach to decomposition and factor analysis of matrices with ordinal data. The matrix entries are grades to which objects represented by rows satisfy attributes represented by columns, e.g. grades to which an image is red, a…

Machine Learning · Computer Science 2013-03-07 Radim Belohlavek , Vilem Vychodil

Multimodal learning enhances the performance of various machine learning tasks by leveraging complementary information across different modalities. However, existing methods often learn multimodal representations that retain substantial…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Tong Zhang , Shu Shen , C. L. Philip Chen

Aggregated Relational Data (ARD) contain summary information about individual social networks and are widely used to estimate social network characteristics and the size of populations of interest. Although a variety of ARD estimators…

Methodology · Statistics 2026-01-27 Ian Laga , Benjamin Vogel , Jieyun Wang , Anna Smith , Owen Ward

Image classification is a primary task in data analysis where explainable models are crucially demanded in various applications. Although amounts of methods have been proposed to obtain explainable knowledge from the black-box classifiers,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Ruitao Xie , Jingbang Chen , Limai Jiang , Rui Xiao , Yi Pan , Yunpeng Cai

Deep learning became the game changer for image retrieval soon after it was introduced. It promotes the feature extraction (by representation learning) as the core of image retrieval, with the relevance/matching evaluation being degenerated…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Xulu Zhang , Zhenqun Yang , Hao Tian , Qing Li , Xiaoyong Wei

In this paper we present a fully Bayesian latent variable model which exploits conditional nonlinear(in)-dependence structures to learn an efficient latent representation. The latent space is factorized to represent shared and private…

Machine Learning · Computer Science 2012-06-22 Andreas Damianou , Carl Ek , Michalis Titsias , Neil Lawrence

Machine learning classification systems are susceptible to poor performance when trained with incorrect ground truth labels, even when data is well-curated by expert annotators. As machine learning becomes more widespread, it is…

Machine Learning · Computer Science 2026-01-16 Zan Chaudhry , Noam H. Rotenberg , Brian Caffo , Craig K. Jones , Haris I. Sair

One-class classification (OCC) aims to learn an effective data description to enclose all normal training samples and detect anomalies based on the deviation from the data description. Current state-of-the-art OCC models learn a compact…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Yuanhong Chen , Yu Tian , Guansong Pang , Gustavo Carneiro

The process of decomposing target images into their internal properties is a difficult task due to the inherent ill-posed nature of the problem. The lack of data required to train a network is a one of the reasons why the decomposing…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Mingi Lim , Sung-eui Yoon

Machine learning based Single Image Intrinsic Decomposition (SIID) methods decompose a captured scene into its albedo and shading images by using the knowledge of a large set of known and realistic ground truth decompositions. Collecting…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Louis Lettry , Kenneth Vanhoey , Luc van Gool

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

This paper introduces a novel approach to approximating continuous functions over high-dimensional hypercubes by integrating matrix CUR decomposition with hyperinterpolation techniques. Traditional Fourier-based hyperinterpolation methods…

Numerical Analysis · Mathematics 2025-10-16 Maolin Che , Congpei An , Yimin Wei , Hong Yan

Information Bottlenecks (IBs) learn representations that generalize to unseen data by information compression. However, existing IBs are practically unable to guarantee generalization in real-world scenarios due to the vacuous…

Machine Learning · Computer Science 2023-05-01 Yilin Lyu , Xin Liu , Mingyang Song , Xinyue Wang , Yaxin Peng , Tieyong Zeng , Liping Jing

A central problem in data science is to use potentially noisy samples of an unknown function to predict values for unseen inputs. In classical statistics, predictive error is understood as a trade-off between the bias and the variance that…

Statistics Theory · Mathematics 2025-06-04 Mark K. Transtrum , Gus L. W. Hart , Tyler J. Jarvis , Jared P. Whitehead

We study the Automatic Relevance Determination procedure applied to deep neural networks. We show that ARD applied to Bayesian DNNs with Gaussian approximate posterior distributions leads to a variational bound similar to that of…

Machine Learning · Statistics 2018-11-29 Valery Kharitonov , Dmitry Molchanov , Dmitry Vetrov

The vast majority of current machine learning algorithms are designed to predict single responses or a vector of responses, yet many types of response are more naturally organized as matrices or higher-order tensor objects where…

Machine Learning · Statistics 2016-12-23 Nathan H Lazar , Mehmet Gönen , Kemal Sönmez

The Integrated Nested Laplace Approximation (INLA) is a deterministic approach to Bayesian inference on latent Gaussian models (LGMs) and focuses on fast and accurate approximation of posterior marginals for the parameters in the models.…

Computation · Statistics 2021-03-05 Martin Outzen Berild , Sara Martino , Virgilio Gómez-Rubio , Håvard Rue

Instrumental variables (IVs), sources of treatment randomization that are conditionally independent of the outcome, play an important role in causal inference with unobserved confounders. However, the existing IV-based counterfactual…

Machine Learning · Computer Science 2022-01-14 Junkun Yuan , Anpeng Wu , Kun Kuang , Bo Li , Runze Wu , Fei Wu , Lanfen Lin

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava