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This paper introduces Multidimensional Task Learning (MTL), a unified mathematical framework based on Generalized Einstein MLPs (GE-MLPs) that operate directly on tensors via the Einstein product. We argue that current computer vision task…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Alaa El Ichi , Khalide Jbilou

We propose a modular framework for multi-relational learning via tensor decomposition. In our learning setting, the training data contains multiple types of relationships among a set of objects, which we represent by a sparse three-mode…

Machine Learning · Computer Science 2013-06-04 Ben London , Theodoros Rekatsinas , Bert Huang , Lise Getoor

An increasing amount of collected data are high-dimensional multi-way arrays (tensors), and it is crucial for efficient learning algorithms to exploit this tensorial structure as much as possible. The ever-present curse of dimensionality…

Machine Learning · Computer Science 2021-08-04 Kirandeep Kour , Sergey Dolgov , Martin Stoll , Peter Benner

Multi-task learning (MTL) aims to leverage shared information among tasks to improve learning efficiency and accuracy. However, MTL often struggles to effectively manage positive and negative transfer between tasks, which can hinder…

Machine Learning · Computer Science 2025-05-19 Chenguang Wang , Xuanhao Pan , Tianshu Yu

Multi-task learning (MTL) is an efficient solution to solve multiple tasks simultaneously in order to get better speed and performance than handling each single-task in turn. The most current methods can be categorized as either: (i) hard…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Yifan Liu , Bohan Zhuang , Chunhua Shen , Hao Chen , Wei Yin

Multi-task learning (MTL) has become an essential machine learning tool for addressing multiple learning tasks simultaneously and has been effectively applied across fields such as healthcare, marketing, and biomedical research. However, to…

Machine Learning · Statistics 2025-06-02 Yang Sui , Qi Xu , Yang Bai , Annie Qu

Based on the tensor-based large margin distribution and the nonparallel support tensor machine, we establish a novel classifier for binary classification problem in this paper, termed the Large Margin Distribution based NonParallel Support…

Optimization and Control · Mathematics 2025-07-18 Zhuolin Du , Yisheng Song

Multi-task learning (MTL) is a subfield of machine learning with important applications, but the multi-objective nature of optimization in MTL leads to difficulties in balancing training between tasks. The best MTL optimization methods…

Machine Learning · Computer Science 2021-09-20 Michael Crawshaw , Jana Košecká

Multi-task learning (MTL) is a subfield of machine learning in which multiple tasks are simultaneously learned by a shared model. Such approaches offer advantages like improved data efficiency, reduced overfitting through shared…

Machine Learning · Computer Science 2020-09-22 Michael Crawshaw

Multi-Task Learning (MTL) aims to enhance the model generalization by sharing representations between related tasks for better performance. Typical MTL methods are jointly trained with the complete multitude of ground-truths for all tasks…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Yufeng Wang , Yi-Hsuan Tsai , Wei-Chih Hung , Wenrui Ding , Shuo Liu , Ming-Hsuan Yang

Modeling of multidimensional signal using tensor is more convincing than representing it as a collection of matrices. The tensor based approaches can explore the abundant spatial and temporal structures of the mutlidimensional signal. The…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Baburaj Madathil , Sameera V Mohd Sagheer , Abdu Rahiman , Anju Jose Tom , Baiju P S , Jobin Francis , Sudhish N. George

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

Numerical Analysis · Computer Science 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

Machine learning (ML) and tensor-based methods have been of significant interest for the scientific community for the last few decades. In a previous work we presented a novel tensor-based system identification framework to ease the…

Machine Learning · Computer Science 2023-06-30 Oliver Ploder , Christina Auer , Oliver Lang , Thomas Paireder , Mario Huemer

Multi-task learning (MTL) can improve the generalization performance of neural networks by sharing representations with related tasks. Nonetheless, MTL can also degrade performance through harmful interference between tasks. Recent work has…

Machine Learning · Computer Science 2023-06-08 Emilie Grégoire , Hafeez Chaudhary , Sam Verboven

We propose a novel framework in high-dimensional factor models to simultaneously analyse multiple tensor time series, each with potentially different tensor orders and dimensionality. The connection between different tensor time series is…

Methodology · Statistics 2025-09-19 Zetai Cen

Multi-task learning (MTL) has recently contributed to learning better representations in service of various NLP tasks. MTL aims at improving the performance of a primary task, by jointly training on a secondary task. This paper introduces…

Machine Learning · Computer Science 2017-09-21 Davis Liang , Yan Shu

Robust tensor recovery plays an instrumental role in robustifying tensor decompositions for multilinear data analysis against outliers, gross corruptions and missing values and has a diverse array of applications. In this paper, we study…

Machine Learning · Statistics 2014-08-26 Donald Goldfarb , Zhiwei Qin

Existing Multimodal Large Language Models (MLLMs) process a large number of visual tokens, leading to significant computational costs and inefficiency. Instruction-related visual token compression demonstrates strong task relevance, which…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Lei Lei , Jie Gu , Xiaokang Ma , Chu Tang , Jingmin Chen , Tong Xu

Higher-order data with high dimensionality arise in a diverse set of application areas such as computer vision, video analytics and medical imaging. Tensors provide a natural tool for representing these types of data. Although there has…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Seyyid Emre Sofuoglu , Selin Aviyente

Convolutional neural networks typically consist of many convolutional layers followed by one or more fully connected layers. While convolutional layers map between high-order activation tensors, the fully connected layers operate on…

Machine Learning · Computer Science 2020-07-22 Jean Kossaifi , Zachary C. Lipton , Arinbjorn Kolbeinsson , Aran Khanna , Tommaso Furlanello , Anima Anandkumar
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