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Recently, there is a revival of interest in low-rank matrix completion-based unsupervised learning through the lens of dual-graph regularization, which has significantly improved the performance of multidisciplinary machine learning tasks…

Machine Learning · Computer Science 2022-09-07 Yangge Chen , Lei Cheng , Yik-Chung Wu

Establishing consistent and dense correspondences across multiple images is crucial for Structure from Motion (SfM) systems. Significant view changes, such as air-to-ground with very sparse view overlap, pose an even greater challenge to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Gonglin Chen , Jinsen Wu , Haiwei Chen , Wenbin Teng , Zhiyuan Gao , Andrew Feng , Rongjun Qin , Yajie Zhao

Multimodal data plays a critical role in web-based recommendation systems, where information from diverse modalities such as vision and text enhances representation learning. However, real-world multimodal datasets often suffer from…

Information Retrieval · Computer Science 2026-05-04 Yuan Li , Jun Hu , Jiaxin Jiang , Bryan Hooi , Bingsheng He

With the huge influx of various data nowadays, extracting knowledge from them has become an interesting but tedious task among data scientists, particularly when the data come in heterogeneous form and have missing information. Many data…

Machine Learning · Computer Science 2017-05-11 Tsuyoshi Kato , Rachelle Rivero

The matrix completion problem consists of finding or approximating a low-rank matrix based on a few samples of this matrix. We propose a new algorithm for matrix completion that minimizes the least-square distance on the sampling set over…

Optimization and Control · Mathematics 2012-09-19 Bart Vandereycken

Conventional matrix completion methods approximate the missing values by assuming the matrix to be low-rank, which leads to a linear approximation of missing values. It has been shown that enhanced performance could be attained by using…

Information Theory · Computer Science 2024-03-18 Sajad Faramarzi , Farzan Haddadi , Sajjad Amini , Masoud Ahookhosh

Network completion is a harder problem than link prediction because it does not only try to infer missing links but also nodes. Different methods have been proposed to solve this problem, but few of them employed structural information -…

Machine Learning · Computer Science 2022-08-09 Zhang Zhang , Ruyi Tao , Yongzai Tao , Mingze Qi , Jiang Zhang

We address the collective matrix completion problem of jointly recovering a collection of matrices with shared structure from partial (and potentially noisy) observations. To ensure well--posedness of the problem, we impose a joint low rank…

Machine Learning · Statistics 2015-04-09 Suriya Gunasekar , Makoto Yamada , Dawei Yin , Yi Chang

Matrix completion problem has been investigated under many different conditions since Netflix announced the Netflix Prize problem. Many research work has been done in the field once it has been discovered that many real life dataset could…

Machine Learning · Computer Science 2022-04-06 Jafar Jafarov

We consider the problem of depth estimation from a single monocular image in this work. It is a challenging task as no reliable depth cues are available, e.g., stereo correspondences, motions, etc. Previous efforts have been focusing on…

Computer Vision and Pattern Recognition · Computer Science 2015-10-01 Fayao Liu , Chunhua Shen , Guosheng Lin

This paper addresses the challenge of Neural Field (NeF) generalization, where models must efficiently adapt to new signals given only a few observations. To tackle this, we propose Geometric Neural Process Fields (G-NPF), a probabilistic…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Wenzhe Yin , Zehao Xiao , Jiayi Shen , Yunlu Chen , Cees G. M. Snoek , Jan-Jakob Sonke , Efstratios Gavves

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Many existing learning-based grasping approaches concentrate on a single embodiment, provide limited generalization to higher DoF end-effectors and cannot capture a diverse set of grasp modes. We tackle the problem of grasping using…

We present a concise survey of matrix completion methods and associated implementations of several fundamental algorithms. Our study covers both passive and adaptive strategies. We further illustrate the behavior of a simple adaptive…

Computation · Statistics 2025-12-10 Connor Panish , Leo Villani

The basic problem of shape complementarity analysis appears fundamental to applications as diverse as mechanical design, assembly automation, robot motion planning, micro- and nano-fabrication, protein-ligand binding, and rational drug…

Computational Geometry · Computer Science 2017-12-05 Morad Behandish , Horea T. Ilies

The low-rank matrix completion problem can be solved by Riemannian optimization on a fixed-rank manifold. However, a drawback of the known approaches is that the rank parameter has to be fixed a priori. In this paper, we consider the…

Optimization and Control · Mathematics 2022-02-21 Bin Gao , P. -A. Absil

Deep Learning (DL) has attracted a lot of attention for its ability to reach state-of-the-art performance in many machine learning tasks. The core principle of DL methods consists in training composite architectures in an end-to-end…

Machine Learning · Computer Science 2020-11-17 Carlos Lassance , Vincent Gripon , Antonio Ortega

This research article suggests that there are significant benefits in exposing demand planners to forecasting methods using matrix completion techniques. This study aims to contribute to a better understanding of the field of forecasting…

Applications · Statistics 2020-09-10 Rodrigo Rivera-Castro , Ivan Nazarov , Evgeny Burnaev

Generalized linear models (GLMs) arise in high-dimensional machine learning, statistics, communications and signal processing. In this paper we analyze GLMs when the data matrix is random, as relevant in problems such as compressed sensing,…

Information Theory · Computer Science 2019-04-01 Jean Barbier , Florent Krzakala , Nicolas Macris , Léo Miolane , Lenka Zdeborová

In some significant applications such as data forecasting, the locations of missing entries cannot obey any non-degenerate distributions, questioning the validity of the prevalent assumption that the missing data is randomly chosen…

Information Theory · Computer Science 2019-09-09 Guangcan Liu , Qingshan Liu , Xiao-Tong Yuan , Meng Wang