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This work studies the problem of high-dimensional data (referred to as tensors) completion from partially observed samplings. We consider that a tensor is a superposition of multiple low-rank components. In particular, each component can be…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Chang Nie , Huan Wang , Zhihui Lai

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

Numerical Analysis · Computer Science 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

Agents that can follow language instructions are expected to be useful in a variety of situations such as navigation. However, training neural network-based agents requires numerous paired trajectories and languages. This paper proposes…

Machine Learning · Computer Science 2023-01-03 Kei Akuzawa , Yusuke Iwasawa , Yutaka Matsuo

Learning performance data describe correct and incorrect answers or problem-solving attempts in adaptive learning, such as in intelligent tutoring systems (ITSs). Learning performance data tend to be highly sparse (80\%\(\sim\)90\% missing…

Spectral variations pose a common challenge in analyzing hyperspectral images (HSI). To address this, low-rank tensor representation has emerged as a robust strategy, leveraging inherent correlations within HSI data. However, the spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Bo Han , Yuheng Jia , Hui Liu , Junhui Hou

This thesis addresses challenges related to data and parameter efficiency in neural language models, with a focus on representation analysis and the introduction of new optimization techniques. The first part examines the properties and…

Computation and Language · Computer Science 2025-07-17 Josip Jukić

This paper presents an innovative approach to enhance control over audio generation by emphasizing the alignment between audio and text representations during model training. In the context of language model-based audio generation, the…

We propose a novel method, Modality-based Redundancy Reduction Fusion (MRRF), for understanding and modulating the relative contribution of each modality in multimodal inference tasks. This is achieved by obtaining an $(M+1)$-way tensor to…

Machine Learning · Computer Science 2023-04-18 Elham J. Barezi , Peyman Momeni , Pascale Fung

We propose a loop optimization algorithm based on nuclear norm regularization for tensor network. The key ingredient of this scheme is to introduce a rank penalty term proposed in the context of data processing. Compared to standard…

Statistical Mechanics · Physics 2024-11-07 Kenji Homma , Tsuyoshi Okubo , Naoki Kawashima

Several applications of Reinforcement Learning suffer from instability due to high variance. This is especially prevalent in high dimensional domains. Regularization is a commonly used technique in machine learning to reduce variance, at…

Machine Learning · Computer Science 2019-04-12 Pierre Thodoroff , Audrey Durand , Joelle Pineau , Doina Precup

Modern video summarization methods are based on deep neural networks that require a large amount of annotated data for training. However, existing datasets for video summarization are small-scale, easily leading to over-fitting of the deep…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Li Haopeng , Ke Qiuhong , Gong Mingming , Tom Drummond

In this paper, we propose three approaches for the estimation of the Tucker decomposition of multi-way arrays (tensors) from partial observations. All approaches are formulated as convex minimization problems. Therefore, the minimum is…

Machine Learning · Statistics 2015-03-17 Ryota Tomioka , Kohei Hayashi , Hisashi Kashima

Machine learning models suffer from overfitting, which is caused by a lack of labeled data. To tackle this problem, we proposed a framework of regularization methods, called density-fixing, that can be used commonly for supervised and…

Machine Learning · Computer Science 2020-09-08 Masanari Kimura , Ryohei Izawa

Tomographic imaging is useful for revealing the internal structure of a 3D sample. Classical reconstruction methods treat the object of interest as a vector to estimate its value. Such an approach, however, can be inefficient in analyzing…

Applications · Statistics 2022-04-06 Sanket R. Jantre , Zichao Wendy Di

Representations that can compactly and effectively capture the temporal evolution of semantic content are important to computer vision and machine learning algorithms that operate on multi-variate time-series data. We investigate such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Anoop Cherian , Suvrit Sra , Stephen Gould , Richard Hartley

The human language can be expressed through multiple sources of information known as modalities, including tones of voice, facial gestures, and spoken language. Recent multimodal learning with strong performances on human-centric tasks such…

Computation and Language · Computer Science 2020-10-06 Yao-Hung Hubert Tsai , Martin Q. Ma , Muqiao Yang , Ruslan Salakhutdinov , Louis-Philippe Morency

Modern technologies are producing a wealth of data with complex structures. For instance, in two-dimensional digital imaging, flow cytometry, and electroencephalography, matrix type covariates frequently arise when measurements are obtained…

Methodology · Statistics 2013-10-22 Hua Zhou , Lexin Li

In recent studies, the tensor ring (TR) rank has shown high effectiveness in tensor completion due to its ability of capturing the intrinsic structure within high-order tensors. A recently proposed TR rank minimization method is based on…

Computer Vision and Pattern Recognition · Computer Science 2020-05-21 Meng Ding , Ting-Zhu Huang , Xi-Le Zhao , Tian-Hui Ma

Multimodal recommendation combines the user historical behaviors with the modal features of items to capture the tangible user preferences, presenting superior performance compared to the conventional ID-based recommender systems. However,…

Information Retrieval · Computer Science 2026-01-27 Yuzhuo Dang , Xin Zhang , Zhiqiang Pan , Yuxiao Duan , Wanyu Chen , Fei Cai , Honghui Chen

Multimodal manifold modeling methods extend the spectral geometry-aware data analysis to learning from several related and complementary modalities. Most of these methods work based on two major assumptions: 1) there are the same number of…

Machine Learning · Computer Science 2021-05-13 Maysam Behmanesh , Peyman Adibi , Jocelyn Chanussot , Sayyed Mohammad Saeed Ehsani
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