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Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

This paper proposes a novel memory-based online video representation that is efficient, accurate and predictive. This is in contrast to prior works that often rely on computationally heavy 3D convolutions, ignore actual motion when aligning…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Tuan-Hung Vu , Wongun Choi , Samuel Schulter , Manmohan Chandraker

This paper proposes a novel methodology for the online detection of changepoints in the factor structure of large matrix time series. Our approach is based on the well-known fact that, in the presence of a changepoint, a factor model can be…

Methodology · Statistics 2021-12-28 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

Recommender system has been more and more popular and widely used in many applications recently. The increasing information available, not only in quantities but also in types, leads to a big challenge for recommender system that how to…

Artificial Intelligence · Computer Science 2011-12-30 Tianqi Chen , Zhao Zheng , Qiuxia Lu , Weinan Zhang , Yong Yu

It is the main goal of this paper to propose a novel method to perform matrix completion on-line. Motivated by a wide variety of applications, ranging from the design of recommender systems to sensor network localization through seismic…

Machine Learning · Statistics 2014-01-13 Charanpal Dhanjal , Romaric Gaudel , Stéphan Clémençon

Online action recognition is an important task for human centered intelligent services, which is still difficult to achieve due to the varieties and uncertainties of spatial and temporal scales of human actions. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Guoliang Liu , Qinghui Zhang , Yichao Cao , Junwei Li , Hao Wu , Guohui Tian

In this article, we study algorithms for nonnegative matrix factorization (NMF) in various applications involving streaming data. Utilizing the continual nature of the data, we develop a fast two-stage algorithm for highly efficient and…

Optimization and Control · Mathematics 2021-01-22 Ran Gu , Qiang Du , Simon J. L. Billinge

To reduce the reliance on high-definition (HD) maps, a growing trend in autonomous driving is leveraging onboard sensors to generate vectorized maps online. However, current methods are mostly constrained by processing only single-frame…

Robotics · Computer Science 2025-03-18 Jiagang Chen , Liangliang Pan , Shunping Ji , Ji Zhao , Zichao Zhang

Max-norm regularizer has been extensively studied in the last decade as it promotes an effective low-rank estimation for the underlying data. However, such max-norm regularized problems are typically formulated and solved in a batch manner,…

Machine Learning · Statistics 2016-05-17 Jie Shen , Huan Xu , Ping Li

We propose an effective online background subtraction method, which can be robustly applied to practical videos that have variations in both foreground and background. Different from previous methods which often model the foreground as…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Hongwei Yong , Deyu Meng , Wangmeng Zuo , Lei Zhang

We propose a unified and systematic framework for performing online nonnegative matrix factorization in the presence of outliers. Our framework is particularly suited to large-scale data. We propose two solvers based on projected gradient…

Machine Learning · Statistics 2016-12-21 Renbo Zhao , Vincent Y. F. Tan

We present new results on Boolean matrix factorization and a new algorithm based on these results. The results emphasize the significance of factorizations that provide from-below approximations of the input matrix. While the previously…

Numerical Analysis · Computer Science 2015-06-26 Radim Belohlavek , Martin Trnecka

In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real polynomial and provide algorithms for computing polynomial…

Symbolic Computation · Computer Science 2015-02-27 Zijia Li , Josef Schicho , Hans-Peter Schröcker

The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

We consider the problem of reconstructing a 3-D scene from a moving camera with high frame rate using the affine projection model. This problem is traditionally known as Affine Structure from Motion (Affine SfM), and can be solved using an…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Roberto Tron

We present a novel camera path optimization framework for the task of online video stabilization. Typically, a stabilization pipeline consists of three steps: motion estimating, path smoothing, and novel view rendering. Most previous…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Zhuofan Zhang , Zhen Liu , Ping Tan , Bing Zeng , Shuaicheng Liu

Online Matrix Factorization (OMF) is a fundamental tool for dictionary learning problems, giving an approximate representation of complex data sets in terms of a reduced number of extracted features. Convergence guarantees for most of the…

Machine Learning · Computer Science 2020-11-10 Hanbaek Lyu , Deanna Needell , Laura Balzano

We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method based on moving frames "a la Fels-Olver" to obtain a…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-Louis Bazin , Mireille Boutin

If learning methods are to scale to the massive sizes of modern datasets, it is essential for the field of machine learning to embrace parallel and distributed computing. Inspired by the recent development of matrix factorization methods…

Machine Learning · Computer Science 2013-10-29 Lester Mackey , Ameet Talwalkar , Michael I. Jordan

We propose C3DPO, a method for extracting 3D models of deformable objects from 2D keypoint annotations in unconstrained images. We do so by learning a deep network that reconstructs a 3D object from a single view at a time, accounting for…

Computer Vision and Pattern Recognition · Computer Science 2019-10-16 David Novotny , Nikhila Ravi , Benjamin Graham , Natalia Neverova , Andrea Vedaldi