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For many algorithms, parameter tuning remains a challenging and critical task, which becomes tedious and infeasible in a multi-parameter setting. Multi-penalty regularization, successfully used for solving undetermined sparse regression of…

Machine Learning · Statistics 2017-10-12 Markus Grasmair , Timo Klock , Valeriya Naumova

Graph representation learning has been widely studied and demonstrated effectiveness in various graph tasks. Most existing works embed graph data in the Euclidean space, while recent works extend the embedding models to hyperbolic or…

Machine Learning · Computer Science 2023-04-04 Cheng Deng , Fan Xu , Jiaxing Ding , Luoyi Fu , Weinan Zhang , Xinbing Wang

Time-series datasets are central in machine learning with applications in numerous fields of science and engineering, such as biomedicine, Earth observation, and network analysis. Extensive research exists on state-space models (SSMs),…

Machine Learning · Computer Science 2024-06-17 Emilie Chouzenoux , Victor Elvira

The advent of parameter-efficient fine-tuning methods has significantly reduced the computational burden of adapting large-scale pretrained models to diverse downstream tasks. However, existing approaches often struggle to achieve robust…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Haotian Zhang , Liu Liu , Baosheng Yu , Jiayan Qiu , Yanwei Ren , Xianglong Liu

Accurate forecasting of multivariate time series is an extensively studied subject in finance, transportation, and computer science. Fully mining the correlation and causation between the variables in a multivariate time series exhibits…

Machine Learning · Computer Science 2022-05-25 Weijun Chen , Yanze Wang , Chengshuo Du , Zhenglong Jia , Feng Liu , Ran Chen

Federated learning (FL) has emerged as a promising paradigm for privacy-preserving distributed machine learning, but faces challenges with heterogeneous data distributions across clients. This paper presents FedSat, a novel FL approach…

Machine Learning · Computer Science 2024-12-31 Sujit Chowdhury , Raju Halder

Sparse high dimensional graphical model selection is a popular topic in contemporary machine learning. To this end, various useful approaches have been proposed in the context of $\ell_1$-penalized estimation in the Gaussian framework.…

Computation · Statistics 2022-02-04 Sang-Yun Oh , Onkar Dalal , Kshitij Khare , Bala Rajaratnam

We consider the problem of learning a high-dimensional graphical model in which certain hub nodes are highly-connected to many other nodes. Many authors have studied the use of an l1 penalty in order to learn a sparse graph in…

Machine Learning · Statistics 2014-08-12 Kean Ming Tan , Palma London , Karthik Mohan , Su-In Lee , Maryam Fazel , Daniela Witten

We propose a novel method to model nonlinear regression problems by adapting the principle of penalization to Partial Least Squares (PLS). Starting with a generalized additive model, we expand the additive component of each variable in…

Statistics Theory · Mathematics 2010-08-13 Nicole Kraemer , Anne-Laure Boulesteix , Gerhard Tutz

Graphical lasso is one of the most used estimators for inferring genetic networks. Despite its diffusion, there are several fields in applied research where the limits of detection of modern measurement technologies make the use of this…

Methodology · Statistics 2019-11-18 Luigi Augugliaro , Antonino Abbruzzo , Veronica Vinciotti

In this paper, we investigate seemingly unrelated regression (SUR) models that allow the number of equations (N) to be large, and to be comparable to the number of the observations in each equation (T). It is well known in the literature…

Econometrics · Economics 2018-11-15 Lidan Tan , Khai X. Chiong , Hyungsik Roger Moon

The objective of graph coarsening is to generate smaller, more manageable graphs while preserving key information of the original graph. Previous work were mainly based on the perspective of spectrum-preserving, using some predefined…

Artificial Intelligence · Computer Science 2025-06-25 Shuyin Xia , Guan Wang , Gaojie Xu , Sen Zhao , Guoyin Wang

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

Machine Learning · Computer Science 2025-10-10 Lin Wang , Qing Li

A graph-based classification method is proposed for semi-supervised learning in the case of Euclidean data and for classification in the case of graph data. Our manifold learning technique is based on a convex optimization problem involving…

Machine Learning · Computer Science 2019-01-29 Carlos M. Alaíz , Michaël Fanuel , Johan A. K. Suykens

Unsupervised feature selection is an important method to reduce dimensions of high dimensional data without labels, which is benefit to avoid ``curse of dimensionality'' and improve the performance of subsequent machine learning tasks, like…

Machine Learning · Computer Science 2020-12-29 Yanyong Huang , Zongxin Shen , Fuxu Cai , Tianrui Li , Fengmao Lv

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Graph embedding techniques have been increasingly deployed in a multitude of different applications that involve learning on non-Euclidean data. However, existing graph embedding models either fail to incorporate node attribute information…

Machine Learning · Computer Science 2021-06-22 Chenhui Deng , Zhiqiang Zhao , Yongyu Wang , Zhiru Zhang , Zhuo Feng

We consider ``one-at-a-time'' coordinate-wise descent algorithms for a class of convex optimization problems. An algorithm of this kind has been proposed for the $L_1$-penalized regression (lasso) in the literature, but it seems to have…

Computation · Statistics 2007-12-18 Jerome Friedman , Trevor Hastie , Holger Höfling , Robert Tibshirani

Functional Gaussian graphical models (GGM) used for analyzing multivariate functional data customarily estimate an unknown graphical model representing the conditional relationships between the functional variables. However, in many…

Methodology · Statistics 2024-10-03 Debangan Dey , Sudipto Banerjee , Martin Lindquist , Abhirup Datta

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

Machine Learning · Statistics 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd