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This paper proposes a novel approach to tensor completion, which recovers missing entries of data represented by tensors. The approach is based on the tensor train (TT) rank, which is able to capture hidden information from tensors thanks…

Numerical Analysis · Computer Science 2017-04-26 Johann A. Bengua , Ho N. Phien , Hoang D. Tuan , Minh N. Do

Multi-task and multi-domain learning methods seek to learn multiple tasks/domains, jointly or one after another, using a single unified network. The primary challenge and opportunity lie in leveraging shared information across these tasks…

Machine Learning · Computer Science 2026-02-03 Yash Garg , Nebiyou Yismaw , Rakib Hyder , Ashley Prater-Bennette , M. Salman Asif

Tensors, which provide a powerful and flexible model for representing multi-attribute data and multi-way interactions, play an indispensable role in modern data science across various fields in science and engineering. A fundamental task is…

Machine Learning · Computer Science 2022-06-23 Tian Tong , Cong Ma , Ashley Prater-Bennette , Erin Tripp , Yuejie Chi

Embedding layers in transformer-based NLP models typically account for the largest share of model parameters, scaling with vocabulary size but not yielding performance gains proportional to scale. We propose an alternative approach in which…

Computation and Language · Computer Science 2025-05-06 Henry Ndubuaku , Mouad Talhi

The relationships between objects in a network are typically diverse and complex, leading to the heterogeneous edges with different semantic information. In this paper, we focus on exploring the heterogeneous edges for network…

Social and Information Networks · Computer Science 2021-10-22 Hong Huang , Yu Song , Fanghua Ye , Xing Xie , Xuanhua Shi , Hai Jin

Existing tensor completion formulation mostly relies on partial observations from a single tensor. However, tensors extracted from real-world data are often more complex due to: (i) Partial observation: Only a small subset (e.g., 5%) of…

Numerical Analysis · Mathematics 2021-06-22 Chaoqi Yang , Navjot Singh , Cao Xiao , Cheng Qian , Edgar Solomonik , Jimeng Sun

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

Machine Learning · Computer Science 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

Machine Learning · Computer Science 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

Accurate click-through rate (CTR) prediction is vital for online advertising and recommendation systems. Recent deep learning advancements have improved the ability to capture feature interactions and understand user interests. However,…

Information Retrieval · Computer Science 2025-02-24 Kefan Wang , Hao Wang , Kenan Song , Wei Guo , Kai Cheng , Zhi Li , Yong Liu , Defu Lian , Enhong Chen

Matrix completion, the problem of completing missing entries in a data matrix with low dimensional structure (such as rank), has seen many fruitful approaches and analyses. Tensor completion is the tensor analog, that attempts to impute…

Numerical Analysis · Mathematics 2021-07-07 Zehan Chao , Longxiu Huang , Deanna Needell

Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent…

Machine Learning · Computer Science 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen

Low rank tensor representation underpins much of recent progress in tensor completion. In real applications, however, this approach is confronted with two challenging problems, namely (1) tensor rank determination; (2) handling real tensor…

Computer Vision and Pattern Recognition · Computer Science 2017-08-04 Lei Zhang , Wei Wei , Qinfeng Shi , Chunhua Shen , Anton van den Hengel , Yanning Zhang

The fully-connected tensor network (FCTN) decomposition has recently exhibited strong modeling capabilities by connecting every pair of tensor factors, thereby capturing rich cross-mode correlations. However, this advantage comes with an…

Optimization and Control · Mathematics 2026-04-13 Ziyi Gan , Chunfeng Cui

Matrix completion is one of the key problems in signal processing and machine learning. In recent years, deep-learning-based models have achieved state-of-the-art results in matrix completion. Nevertheless, they suffer from two drawbacks:…

Machine Learning · Computer Science 2018-12-05 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

Neuromorphic architectures, which incorporate parallel and in-memory processing, are crucial for accelerating artificial neural network (ANN) computations. This work presents a novel memristor-based multi-layer neural network (memristive…

Emerging Technologies · Computer Science 2025-07-29 Santlal Prajapat , Manobendra Nath Mondal , Susmita Sur-Kolay

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

Machine Learning · Computer Science 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

The classical approach to non-linear regression in physics, is to take a mathematical model describing the functional dependence of the dependent variable from a set of independent variables, and then, using non-linear fitting algorithms,…

Machine Learning · Computer Science 2020-07-29 Umberto , Michelucci , Francesca Venturini

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

Machine Learning · Computer Science 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

Accurate stock market prediction provides great opportunities for informed decision-making, yet existing methods struggle with financial data's non-linear, high-dimensional, and volatile characteristics. Advanced predictive models are…

Statistical Finance · Quantitative Finance 2025-01-20 Yuxi Hong

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