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Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

Hardware Architecture · Computer Science 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

In this paper we propose a new algorithm for streaming principal component analysis. With limited memory, small devices cannot store all the samples in the high-dimensional regime. Streaming principal component analysis aims to find the…

Machine Learning · Statistics 2018-02-16 Puyudi Yang , Cho-Jui Hsieh , Jane-Ling Wang

Many real-world applications pose challenges in incorporating fairness constraints into the $k$-center clustering problem, where the dataset consists of $m$ demographic groups, each with a specified upper bound on the number of centers to…

Data Structures and Algorithms · Computer Science 2026-01-19 Longkun Guo , Zeyu Lin , Chaoqi Jia , Chao Chen

In this paper, we consider matrix completion from non-uniformly sampled entries including fully observed and partially observed columns. Specifically, we assume that a small number of columns are randomly selected and fully observed, and…

Machine Learning · Computer Science 2018-06-28 Yuanyu Wan , Jinfeng Yi , Lijun Zhang

We consider the problem of reconstructing a low rank matrix from noisy observations of a subset of its entries. This task has applications in statistical learning, computer vision, and signal processing. In these contexts, "noise"…

Machine Learning · Statistics 2010-01-05 Raghunandan H. Keshavan , Andrea Montanari

The amount of collected information on data repositories has vastly increased with the advent of the internet. It has become increasingly complex to deal with these massive data streams due to their sheer volume and the throughput of…

Information Retrieval · Computer Science 2021-05-13 Oshan Mudannayake , Nalin Ranasinghe

With the explosion of the size of digital dataset, the limiting factor for decomposition algorithms is the \emph{number of passes} over the input, as the input is often stored out-of-core or even off-site. Moreover, we're only interested in…

Numerical Analysis · Computer Science 2016-08-14 Radim Řeh{ů}řek

We focus on the critical challenge of handling non-stationary data streams in online continual learning environments, where constrained storage capacity prevents complete retention of historical data, leading to catastrophic forgetting…

Methodology · Statistics 2025-08-12 Xinjia Lu , Chuhan Wang , Qian Zhao , Lixing Zhu , Xuehu Zhu

Matrix completion focuses on recovering missing or incomplete information in matrices. This problem arises in various applications, including image processing and network analysis. Previous research proposed Poisson matrix completion for…

Machine Learning · Computer Science 2024-08-30 Yu Lu , Kevin Bui , Roummel F. Marcia

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 study online robust matrix completion on graphs. At each iteration a vector with some entries missing is revealed and our goal is to reconstruct it by identifying the underlying low-dimensional subspace from which the vectors are drawn.…

Information Theory · Computer Science 2016-05-16 Symeon Chouvardas , Mohammed Amin Abdullah , Lucas Claude , Moez Draief

In this paper we develop a theory of matrix completion for the extreme case of noisy 1-bit observations. Instead of observing a subset of the real-valued entries of a matrix M, we obtain a small number of binary (1-bit) measurements…

Statistics Theory · Mathematics 2014-07-02 Mark A. Davenport , Yaniv Plan , Ewout van den Berg , Mary Wootters

In this work, we present a combinatorial, deterministic single-pass streaming algorithm for the problem of maximizing a submodular function, not necessarily monotone, with respect to a cardinality constraint (SMCC). In the case the function…

Data Structures and Algorithms · Computer Science 2020-11-03 Alan Kuhnle

The geometric congruence problem is a fundamental building block in many computer vision and image recognition tasks. This problem considers the decision task of whether two point sets are congruent under translation and rotation. A related…

Data Structures and Algorithms · Computer Science 2026-02-16 Yen-Cheng Chang , Tsun Ming Cheung , Meng-Tsung Tsai , Ting-An Wu

Sparse regression has been a popular approach to perform variable selection and enhance the prediction accuracy and interpretability of the resulting statistical model. Existing approaches focus on offline regularized regression, while the…

Machine Learning · Statistics 2023-01-03 Shuoguang Yang , Yuhao Yan , Xiuneng Zhu , Qiang Sun

Attention-based models have been gaining popularity recently for their strong performance demonstrated in fields such as machine translation and automatic speech recognition. One major challenge of attention-based models is the need of…

Computation and Language · Computer Science 2020-11-17 Ching-Feng Yeh , Yongqiang Wang , Yangyang Shi , Chunyang Wu , Frank Zhang , Julian Chan , Michael L. Seltzer

Attention computation takes both the time complexity of $O(n^2)$ and the space complexity of $O(n^2)$ simultaneously, which makes deploying Large Language Models (LLMs) in streaming applications that involve long contexts requiring…

Machine Learning · Computer Science 2024-02-06 Raghav Addanki , Chenyang Li , Zhao Song , Chiwun Yang

We study transfer learning for matrix completion in a Missing Not-at-Random (MNAR) setting that is motivated by biological problems. The target matrix $Q$ has entire rows and columns missing, making estimation impossible without side…

Machine Learning · Computer Science 2025-03-04 Akhil Jalan , Yassir Jedra , Arya Mazumdar , Soumendu Sundar Mukherjee , Purnamrita Sarkar

Submodular maximization problems belong to the family of combinatorial optimization problems and enjoy wide applications. In this paper, we focus on the problem of maximizing a monotone submodular function subject to a $d$-knapsack…

Machine Learning · Computer Science 2016-07-06 Qilian Yu , Easton Li Xu , Shuguang Cui

We initiate the study of the classical Submodular Cover (SC) problem in the data streaming model which we refer to as the Streaming Submodular Cover (SSC). We show that any single pass streaming algorithm using sublinear memory in the size…

Data Structures and Algorithms · Computer Science 2016-11-28 Ashkan Norouzi-Fard , Abbas Bazzi , Marwa El Halabi , Ilija Bogunovic , Ya-Ping Hsieh , Volkan Cevher
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