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Twin support vector machine~(TSVM) is a powerful learning algorithm by solving a pair of smaller SVM-type problems. However, there are still some specific issues such as low efficiency and weak robustness when it is faced with some real…

Machine Learning · Computer Science 2019-07-30 Bin-Bin Gao , Jian-Jun Wang

Most currently used tensor regression models for high-dimensional data are based on Tucker decomposition, which has good properties but loses its efficiency in compressing tensors very quickly as the order of tensors increases, say greater…

Methodology · Statistics 2024-03-20 Yuefeng Si , Yingying Zhang , Yuxi Cai , Chunling Liu , Guodong Li

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

Rolling bearings are critical components in rotating machinery, and their faults can cause severe damage. Early detection of abnormalities is crucial to prevent catastrophic accidents. Traditional and intelligent methods have been used to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Weiyang Jin

Predicting human motion plays a crucial role in ensuring a safe and effective human-robot close collaboration in intelligent remanufacturing systems of the future. Existing works can be categorized into two groups: those focusing on…

Robotics · Computer Science 2023-08-01 Sibo Tian , Minghui Zheng , Xiao Liang

We analyze the problem of regression when both input covariates and output responses are functions from a nonparametric function class. Function to function regression (FFR) covers a large range of interesting applications including…

Machine Learning · Statistics 2014-10-29 Junier Oliva , Willie Neiswanger , Barnabas Poczos , Eric Xing , Jeff Schneider

In traditional logistic regression models, the link function is often assumed to be linear and continuous in predictors. Here, we consider a threshold model that all continuous features are discretized into ordinal levels, which further…

Methodology · Statistics 2022-02-18 Yinan Lin , Wen Zhou , Zhi Geng , Gexin Xiao , Jianxin Yin

Regression machine learning is widely applied to predict various materials. However, insufficient materials data usually leads to a poor performance. Here, we develop a new voting data-driven method that could generally improve the…

Materials Science · Physics 2020-12-22 Xing-Yu Ma , Hou-Yi Lyu , Xue-Juan Dong , Zhen Zhang , Kuan-Rong Hao , Qing-Bo Yan , Gang Su

This study introduces a novel forecasting strategy that leverages the power of fractional differencing (FD) to capture both short- and long-term dependencies in time series data. Unlike traditional integer differencing methods, FD preserves…

Machine Learning · Computer Science 2023-12-05 Sarit Maitra , Vivek Mishra , Srashti Dwivedi , Sukanya Kundu , Goutam Kumar Kundu

We present a new piecewise linear regression methodology that utilizes fitting a difference of convex functions (DC functions) to the data. These are functions $f$ that may be represented as the difference $\phi_1 - \phi_2$ for a choice of…

Machine Learning · Statistics 2020-11-17 Ali Siahkamari , Aditya Gangrade , Brian Kulis , Venkatesh Saligrama

We introduce an evidential model for time-to-event prediction with censored data. In this model, uncertainty on event time is quantified by Gaussian random fuzzy numbers, a newly introduced family of random fuzzy subsets of the real line…

Machine Learning · Computer Science 2024-06-21 Ling Huang , Yucheng Xing , Thierry Denoeux , Mengling Feng

The sophisticated and automated means of data collection used by an increasing number of institutions and companies leads to extremely large data sets. Subset selection in regression is essential when a huge number of covariates can…

Applications · Statistics 2013-04-22 Debbie J. Dupuis , Maria-Pia Victoria-Feser

Tensor regression has attracted significant attention in statistical research. This study tackles the challenge of handling covariates with smooth varying structures. We introduce a novel framework, termed functional tensor regression,…

Methodology · Statistics 2025-06-12 Tongyu Li , Fang Yao , Anru R. Zhang

We introduce a user-friendly computational framework for implementing robust versions of a wide variety of structured regression methods with the L$_{2}$ criterion. In addition to introducing an algorithm for performing L$_{2}$E regression,…

Computation · Statistics 2021-09-15 Jocelyn T. Chi , Eric C. Chi

Time-series foundation models (TSFMs) have achieved strong univariate forecasting through large-scale pre-training, yet effectively extending this success to multivariate forecasting remains challenging. To address this, we propose…

Machine Learning · Computer Science 2026-02-26 Jinpeng Li , Zhongyi Pei , Huaze Xue , Bojian Zheng , Chen Wang , Jianmin Wang

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

Methodology · Statistics 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

Conventional works generally employ a two-phase model in which a generator selects the most important pieces, followed by a predictor that makes predictions based on the selected pieces. However, such a two-phase model may incur the…

Machine Learning · Computer Science 2022-09-21 Wei Liu , Haozhao Wang , Jun Wang , Ruixuan Li , Chao Yue , Yuankai Zhang

The growing complexity of machine learning (ML) models in big data analytics, especially in domains such as environmental monitoring, highlights the critical need for interpretability and explainability to promote trust, ethical…

Machine Learning · Computer Science 2025-10-08 Farjana Yesmin , Nusrat Shirmin

Time series foundation models (TSFMs) require diverse, real-world datasets to adapt across varying domains and temporal frequencies. However, current large-scale datasets predominantly focus on low-frequency time series with sampling…

Machine Learning · Computer Science 2026-04-22 Subina Khanal , Seshu Tirupathi , Merim Dzaferagic , Marco Ruffini , Torben Bach Pedersen

This paper introduces a tensor neural network (TNN) to address nonparametric regression problems, leveraging its distinct sub-network structure to effectively facilitate variable separation and enhance the approximation of complex,…

Machine Learning · Statistics 2024-09-16 Yongxin Li , Yifan Wang , Zhongshuo Lin , Hehu Xie