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In this work, we developed a network inference method from incomplete data ("PathInf") , as massive and non-uniformly distributed missing values is a common challenge in practical problems. PathInf is a two-stages inference model. In the…

Machine Learning · Statistics 2018-10-02 Xiang Li , Qitian Chen , Xing Wang , Ning Guo , Nan Wu , Quanzheng Li

In this paper we study the problem of learning from multiple modal data for purpose of document classification. In this problem, each document is composed two different modals of data, i.e., an image and a text. Cross-modal factor analysis…

Machine Learning · Computer Science 2015-08-19 Jingbin Wang , Yihua Zhou , Kanghong Duan , Jim Jing-Yan Wang , Halima Bensmail

We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA).…

Machine Learning · Statistics 2017-12-14 Clémentine Barreyre , Béatrice Laurent , Jean-Michel Loubes , Bertrand Cabon , Loïc Boussouf

Tensor decomposition is a powerful computational tool for multiway data analysis. Many popular tensor decomposition approaches---such as the Tucker decomposition and CANDECOMP/PARAFAC (CP)---amount to multi-linear factorization. They are…

Machine Learning · Computer Science 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

Over the years, data have become increasingly higher dimensional, which has prompted an increased need for dimension reduction techniques. This is perhaps especially true for clustering (unsupervised classification) as well as…

Methodology · Statistics 2019-11-21 Michael P. B. Gallaugher , Paul D. McNicholas

Real-world applications may be affected by outlying values. In the model-based clustering literature, several methodologies have been proposed to detect units that deviate from the majority of the data (rowwise outliers) and trim them from…

Many computer vision tasks involve processing large amounts of data contaminated by outliers, which need to be detected and rejected. While outlier detection methods based on robust statistics have existed for decades, only recently have…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Chong You , Daniel P. Robinson , René Vidal

Principal component analysis (PCA) is a fundamental tool for analyzing multivariate data. Here the focus is on dimension reduction to the principal subspace, characterized by its projection matrix. The classical principal subspace can be…

Methodology · Statistics 2026-05-29 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

Factor analysis provides a canonical framework for imposing lower-dimensional structure such as sparse covariance in high-dimensional data. High-dimensional data on the same set of variables are often collected under different conditions,…

Methodology · Statistics 2024-08-27 Noirrit Kiran Chandra , David B. Dunson , Jason Xu

Matrix completion has received vast amount of attention and research due to its wide applications in various study fields. Existing methods of matrix completion consider only nonlinear (or linear) relations among entries in a data matrix…

Machine Learning · Computer Science 2021-07-16 Saeid Mehrdad , Mohammad Hossein Kahaei

We study parameter estimation in Nonlinear Factor Analysis (NFA) where the generative model is parameterized by a deep neural network. Recent work has focused on learning such models using inference (or recognition) networks; we identify a…

Machine Learning · Statistics 2017-10-18 Rahul G. Krishnan , Dawen Liang , Matthew Hoffman

Data-driven machine learning approaches have recently been proposed to facilitate wireless network optimization by learning latent knowledge from historical optimization instances. However, existing methods do not well handle the topology…

Networking and Internet Architecture · Computer Science 2021-01-06 Shuai Zhang , Bo Yin , Yu Cheng

Over the years data has become increasingly higher dimensional, which has prompted an increased need for dimension reduction techniques. This is perhaps especially true for clustering (unsupervised classification) as well as semi-supervised…

Methodology · Statistics 2018-10-02 Michael P. B. Gallaugher , Paul D. McNicholas

Advances in sensor technology have enabled the collection of large-scale datasets. Such datasets can be extremely noisy and often contain a significant amount of outliers that result from sensor malfunction or human operation faults. In…

Machine Learning · Computer Science 2018-08-28 Yu-Hsuan Kuo , Zhenhui Li , Daniel Kifer

Sparse and outlier-robust Principal Component Analysis (PCA) has been a very active field of research recently. Yet, most existing methods apply PCA to a single dataset whereas multi-source data-i.e. multiple related datasets requiring…

Methodology · Statistics 2026-02-26 Patricia Puchhammer , Ines Wilms , Peter Filzmoser

We introduce a Modewise Additive Factor Model (MAFM) for matrix-valued time series that captures row-specific and column-specific latent effects through an additive structure, offering greater flexibility than multiplicative frameworks such…

Methodology · Statistics 2026-02-12 Elynn Chen , Yuefeng Han , Jiayu Li , Ke Xu

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

In numerous settings, it is increasingly common to deal with longitudinal data organized as high-dimensional multi-dimensional arrays, also known as tensors. Within this framework, the time-continuous property of longitudinal data often…

Methodology · Statistics 2026-01-28 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

The problem of representative selection amounts to sampling few informative exemplars from large datasets. This paper presents MOSAIC, a novel representative selection approach from high-dimensional data that may exhibit non-linear…

Machine Learning · Computer Science 2020-03-16 Mahlagha Sedghi , George Atia , Michael Georgiopoulos

Directed networks are pervasive both in nature and engineered systems, often underlying the complex behavior observed in biological systems, microblogs and social interactions over the web, as well as global financial markets. Since their…

Machine Learning · Statistics 2017-06-07 Yanning Shen , Brian Baingana , Georgios B. Giannakis