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We study the asymptotic properties of Deshpande et al.\ (2019)'s multivariate spike-and-slab LASSO (mSSL) procedure for simultaneous variable and covariance selection in the sparse multivariate linear regression problem. In that problem,…

Statistics Theory · Mathematics 2024-05-24 Yunyi Shen , Sameer K. Deshpande

Various studies that address the compressed sensing problem with Multiple Measurement Vectors (MMVs) have been recently carried. These studies assume the vectors of the different channels to be jointly sparse. In this paper, we relax this…

Machine Learning · Computer Science 2016-11-14 Hamid Palangi , Rabab Ward , Li Deng

Many real-world datasets contain hidden structure that cannot be detected by simple linear correlations between input features. For example, latent factors may influence the data in a coordinated way, even though their effect is invisible…

In Jin et al. (2014), the limiting spectral distribution (LSD) of a symmetrized auto-cross covariance matrix is derived using matrix manipulation, with finite $(2+\delta)$-th moment assumption. Here we give an alternative method using a…

Statistics Theory · Mathematics 2014-03-12 Zhidong Bai , Chen Wang

Learning depends on the ability to acquire and assimilate new information. This ability depends---somewhat counterintuitively---on the ability to forget. In particular, effective forgetting requires the ability to recognize and utilize new…

Optimization and Control · Mathematics 2021-04-05 Ankit Goel , Adam L. Bruce , Dennis S. Bernstein

Detecting Earth twins remains challenging because their shallow, long-period transits are difficult to distinguish from background noise. Motivated by the challenge, we developed Segmented-Polynomial-fitting Least Squares (SPLS), a new…

Earth and Planetary Astrophysics · Physics 2025-12-03 Shuyue Zheng , Fabo Feng , Yicheng Rui

Staged trees are probabilistic graphical models capable of representing any class of non-symmetric independence via a coloring of its vertices. Several structural learning routines have been defined and implemented to learn staged trees…

Machine Learning · Statistics 2024-05-29 Jack Storror Carter , Manuele Leonelli , Eva Riccomagno , Gherardo Varando

Traditional Partial Least Squares Regression (PLSR) models frequently underperform when handling data characterized by uneven categories. To address the issue, this paper proposes a Data Augmentation Partial Least Squares Regression…

Machine Learning · Computer Science 2025-04-24 Haoran Chen , Jiapeng Liu , Jiafan Wang , Wenjun Shi

A novel LEarning-based Spectrum Sensing and Access (LESSA) framework is proposed, wherein a cognitive radio (CR) learns a time-frequency correlation model underlying spectrum occupancy of licensed users (LUs) in a radio ecosystem;…

Signal Processing · Electrical Eng. & Systems 2021-07-16 Bharath Keshavamurthy , Nicolo Michelusi

Motivated by the Bagging Partial Least Squares (PLS) and Principal Component Analysis (PCA) algorithms, we propose a Principal Model Analysis (PMA) method in this paper. In the proposed PMA algorithm, the PCA and the PLS are combined. In…

Machine Learning · Computer Science 2019-02-08 Qiwei Xie , Liang Tang , Weifu Li , Vijay John , Yong Hu

Multivariate time-series forecasting, as a typical problem in the field of time series prediction, has a wide range of applications in weather forecasting, traffic flow prediction, and other scenarios. However, existing works do not…

Machine Learning · Computer Science 2026-01-30 Tianhao Zhang , Shusen Ma , Yu Kang , Yun-Bo Zhao

We consider a high-dimensional multi-outcome regression in which $q,$ possibly dependent, binary and continuous outcomes are regressed onto $p$ covariates. We model the observed outcome vector as a partially observed latent realization from…

Methodology · Statistics 2025-11-05 Soham Ghosh , Sameer K. Deshpande

The increased availability of the multi-view data (data on the same samples from multiple sources) has led to strong interest in models based on low-rank matrix factorizations. These models represent each data view via shared and individual…

Machine Learning · Statistics 2021-04-01 Irina Gaynanova , Gen Li

Supervised topic models simultaneously model the latent topic structure of large collections of documents and a response variable associated with each document. Existing inference methods are based on variational approximation or Monte…

Machine Learning · Computer Science 2016-02-22 Yong Ren , Yining Wang , Jun Zhu

The partial least squares (PLS) is a popular modeling technique commonly used in social sciences. The traditional PLS algorithm deals with variables measured on interval scales while data are often collected on ordinal scales: a…

Methodology · Statistics 2012-12-21 Gabriele Cantaluppi

Semi-Supervised Learning (SSL) seeks to leverage large amounts of non-annotated data along with the smallest amount possible of annotated data in order to achieve the same level of performance as if all data were annotated. A fruitful…

Machine Learning · Computer Science 2024-05-24 Nikolaos Karaliolios , Hervé Le Borgne , Florian Chabot

Shuffled regression concerns settings in which covariates and responses are observed without their correct pairing. In dependent-data problems, a second form of missing correspondence can arise when responses are also detached from the…

Statistics Theory · Mathematics 2026-03-23 Anik Burman , Sayantan Choudhury , Debangan Dey

Semi-supervised learning (SSL) constructs classifiers using both labelled and unlabelled data. It leverages information from labelled samples, whose acquisition is often costly or labour-intensive, together with unlabelled data to enhance…

Machine Learning · Statistics 2025-12-29 Jinran Wu , You-Gan Wang , Geoffrey J. McLachlan

Long-Tailed Semi-Supervised Learning (LTSSL) aims to learn from class-imbalanced data where only a few samples are annotated. Existing solutions typically require substantial cost to solve complex optimization problems, or class-balanced…

Machine Learning · Computer Science 2022-05-27 Tong Wei , Qian-Yu Liu , Jiang-Xin Shi , Wei-Wei Tu , Lan-Zhe Guo

Self-supervised learning (SSL) has the potential to benefit many applications, particularly those where manually annotating data is cumbersome. One such situation is the semantic segmentation of point clouds. In this context, existing…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Yanhao Wu , Tong Zhang , Wei Ke , Sabine Süsstrunk , Mathieu Salzmann